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Tutors Answer Your Questions about Money Word Problems (FREE)
Question 170505: An investment of 1500 paid interest of $45 during a certain period. How much interest would an investment of $2000 invested at the same rate for the same lenght of time pay?: An investment of 1500 paid interest of $45 during a certain period. How much interest would an investment of $2000 invested at the same rate for the same lenght of time pay?
Answer by josmiceli(2035)  (Show Source): |
Question 170507: In baseball a player's batting average is the ratio of hits to the number of times he or she has batted. Thus, if the player has an average of .300, it means he or she got 300 hits in 1000 at bats. In order to have an average of .3000, how many hits would the batter have to get in 400 times at bat.: In baseball a player's batting average is the ratio of hits to the number of times he or she has batted. Thus, if the player has an average of .300, it means he or she got 300 hits in 1000 at bats. In order to have an average of .3000, how many hits would the batter have to get in 400 times at bat.
Answer by josmiceli(2035) (Show Source): |
Question 166824: a deli charges $3.80 fro a breakfast of three eggs and four strips of bacon. the charge is $2.75 for two eggs and three strips of bacon. find the cost of each egg and the cost of each strip of bacon.: a deli charges $3.80 fro a breakfast of three eggs and four strips of bacon. the charge is $2.75 for two eggs and three strips of bacon. find the cost of each egg and the cost of each strip of bacon.
Answer by grnkbul(2) (Show Source): |
Question 170114: Tom, a graduate student, is considering investing $500 now, when he is 23, or waiting until he is 40 to invest $500. How much more money will he have at the age of 65 if he invests now given that he can earn 5% interest compounded quarterly?: Tom, a graduate student, is considering investing $500 now, when he is 23, or waiting until he is 40 to invest $500. How much more money will he have at the age of 65 if he invests now given that he can earn 5% interest compounded quarterly?
Answer by jojo14344(879) (Show Source): |
Question 170428: I am coming up with crazy answers to this question. Please help me get the right answer. There are 32,000 fans at a football game. The total of ticket sales was #272,000. How many fans paid for reserved tickets for $14 and how many got general adission for $6.00 a ticket?: I am coming up with crazy answers to this question. Please help me get the right answer. There are 32,000 fans at a football game. The total of ticket sales was #272,000. How many fans paid for reserved tickets for $14 and how many got general adission for $6.00 a ticket?
Answer by Mathtut(512) (Show Source):
You can put this solution on YOUR website!lets call the number of $6 tickets x and the number of $14 tickets y.
:
x+y=32000.....eq 1---->x=32000-y
6x+14y=272000.eq 2
:
take x's value from eq 1 and plug it into eq 2
:
6(32000-y)+14y=272000
:
192000-6y+14y=272000
:
8y=80000
:
 number of $14 tickets
:
 number of $6 tickets
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Question 170428: I am coming up with crazy answers to this question. Please help me get the right answer. There are 32,000 fans at a football game. The total of ticket sales was #272,000. How many fans paid for reserved tickets for $14 and how many got general adission for $6.00 a ticket?: I am coming up with crazy answers to this question. Please help me get the right answer. There are 32,000 fans at a football game. The total of ticket sales was #272,000. How many fans paid for reserved tickets for $14 and how many got general adission for $6.00 a ticket?
Answer by jim_thompson5910(9368) (Show Source):
You can put this solution on YOUR website!Let x=# of reserved tickets and y = # of general admission tickets
Total number of people equation:
"There are 32,000 fans at a football game" -----> 
Total Revenue equation:
"The total of ticket sales was #272,000" and "reserved tickets for $14 and how many got general adission for $6.00" translates to 
So we have the system of equations:
Now in order to solve this system by using substitution, we need to solve (or isolate) one variable. I'm going to solve for y.
So let's isolate y in the first equation
Start with the first equation
 Subtract  from both sides
 Rearrange the equation
---------------------
Since , we can now replace each  in the second equation with  to solve for
 Plug in into the second equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.
 Distribute  to
 Multiply
 Combine like terms on the left side
 Subtract 192000 from both sides
 Combine like terms on the right side
 Divide both sides by 8 to isolate x
 Divide
-----------------First Answer------------------------------
So the first part of our answer is:
Since we know that we can plug it into the equation (remember we previously solved for in the first equation).
Start with the equation where was previously isolated.
 Plug in
 Multiply
 Combine like terms
-----------------Second Answer------------------------------
So the second part of our answer is:
-----------------Summary------------------------------
So our answers are:
and
Which means that 10,000 reserved tickets were sold and 22,000 general admission tickets were sold.
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Question 170396: Sarah invested $5000 in two funds, paying 7% and 9% annual interest respectively. If the total interest earned for the year was $375, how much was invested at each rate? : Sarah invested $5000 in two funds, paying 7% and 9% annual interest respectively. If the total interest earned for the year was $375, how much was invested at each rate?
Answer by checkley77(3624) (Show Source):
You can put this solution on YOUR website!.09x+.07(5,000-x)=375
.09x+350-.07x=375
.02x=375-350
.02x=25
x=25/.02
x=$1,250 invested @ 9%.
5,000-1,250=$3,750 invested @ 7%.
Proof:
.09*1,250+.07*3,750=375
112.50+262.5=375
375=375
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Question 170396: Sarah invested $5000 in two funds, paying 7% and 9% annual interest respectively. If the total interest earned for the year was $375, how much was invested at each rate? : Sarah invested $5000 in two funds, paying 7% and 9% annual interest respectively. If the total interest earned for the year was $375, how much was invested at each rate?
Answer by stanbon(18984) (Show Source):
You can put this solution on YOUR website!Sarah invested $5000 in two funds, paying 7% and 9% annual interest respectively. If the total interest earned for the year was $375, how much was invested at each rate?
---------------------------
Interest Equation: 0.07x + 0.09(5000-x) = 375 dollars
7x + 9(5000-x) = 37500
7x + 45000 -9x = 37500
-2x = -7500
x = $3750.00 (amt. invested at 7%
5000-3750 = $1250 (amt. invested at 9%)
=========================================
Cheers,
Stan H.
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Question 170360: Consecutive even integers find four consecutive even intergers whose sum is 340: Consecutive even integers find four consecutive even intergers whose sum is 340
Answer by checkley77(3624) (Show Source):
You can put this solution on YOUR website!X, X+2, X+4, X+6 ARE THE INTEGERS.
X+X+2+X+4+X+6=340
4X+12=340
4X=340-12
4X=328
X=328/4
X=82 FOR THE FIRST INTEGER.
84,86 & 88 ARE THE REST OF THE INTEGERS.
PROOF:
82+84+86+88=340
340=340
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Question 170358: Of the $50,000 that Natasha pocketed on her last real estate deal, $20,000 went to charity. She invested part of the remainder in Dreyfus New Leaders Fund with an annual yield of 16% and the rest in Templetion Growth Fund with an annual yield of 25%. If she made $6060 on these ivestments in 1 year, then how much did she invest in each fund?: Of the $50,000 that Natasha pocketed on her last real estate deal, $20,000 went to charity. She invested part of the remainder in Dreyfus New Leaders Fund with an annual yield of 16% and the rest in Templetion Growth Fund with an annual yield of 25%. If she made $6060 on these ivestments in 1 year, then how much did she invest in each fund?
Answer by Mathtut(512) (Show Source):
You can put this solution on YOUR website!remainder is 50000-20000=30000
:
lets call amount invested with dreyfus fund x and the amount invested in the templeton fund 30000-x.
:
.16(x)+.25(30000-x)=6060
:
.16x+7500-.25x=6060
:
.09x=1440
:
 dollars invested in dreyfus fund
 dollars invested in templeton fund
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Question 170155: a sum of $3600 together with the interest earned is left for 3 years in a bank that pays an interest rate of 6% compounded annually. How much interest is earned (to the nearest cent)?: a sum of $3600 together with the interest earned is left for 3 years in a bank that pays an interest rate of 6% compounded annually. How much interest is earned (to the nearest cent)?
Answer by stanbon(18984) (Show Source):
You can put this solution on YOUR website!a sum of $3600 together with the interest earned is left for 3 years in a bank that pays an interest rate of 6% compounded annually. How much interest is earned (to the nearest cent)?
-------------------------------
A(3) = 3600**(1.06)^3 = $4287.6576
Inerest = 4287.6576-3600 = $687.66
=================================
Cheers,
Stan H.
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Question 170065: A saleperson receives 6% commission. Find the saleperson's gross pay for sales totaling $145,000.: A saleperson receives 6% commission. Find the saleperson's gross pay for sales totaling $145,000.
Answer by checkley77(3624) (Show Source): |
Question 170071: A manager receives a monthly salary of $2900.00. Use the tax rates of 6.2% for social security and 1.45% for medicare. Find the social securty tax and the medicare tax to be deducted from one month's paycheck: A manager receives a monthly salary of $2900.00. Use the tax rates of 6.2% for social security and 1.45% for medicare. Find the social securty tax and the medicare tax to be deducted from one month's paycheck
Answer by checkley77(3624) (Show Source):
You can put this solution on YOUR website!(.062+.0145)*2,900=.0765*2,900=$221.85 ans. for the amount deducted.
.062*2,900=$179.80 for SS.
.0145*2,900=$42.05 for Medicare.
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Question 170112: How much should you invest at 12% compounded monthly in order to purchase a $25,000 car in 5 years?: How much should you invest at 12% compounded monthly in order to purchase a $25,000 car in 5 years?
Answer by checkley77(3624) (Show Source):
You can put this solution on YOUR website!x(1+.12/12)^5*12=25,000
x(1.01)^60=25,000
x*1.8167=25,000
x=25,000/1.8167
x=13,761 needs to be invested for 5 years.
Proof:
13,761(1+.12/12)^5*12=25,000
13,761(1.01)^60=25,000
13,761*1.8167=25,000
25,000~25,000
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Question 170067: A factory worer earns $1.25 for each electric razor completed. Find the wages for the worker if she had completed 120 razors.: A factory worer earns $1.25 for each electric razor completed. Find the wages for the worker if she had completed 120 razors.
Answer by nerdybill(1123) (Show Source): |
Question 170011: A crib costing $180.00 is sold for $200.00. Find te markup.: A crib costing $180.00 is sold for $200.00. Find te markup.
Answer by Alan3354(1418) (Show Source):
You can put this solution on YOUR website!A crib costing $180.00 is sold for $200.00. Find te markup.
-----------
It costs $180 and its selling price is $20 more than that.
So it's marked up 20/180 = 0.111111..
= ~ 11%
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Question 170011: A crib costing $180.00 is sold for $200.00. Find te markup.: A crib costing $180.00 is sold for $200.00. Find te markup.
Answer by midwood_trail(255) (Show Source): |
Question 170012: The cost of an electric stove is $140.00 The markup is $80.00. Find the selling price.: The cost of an electric stove is $140.00 The markup is $80.00. Find the selling price.
Answer by checkley77(3624) (Show Source): |
Question 170014: A treadmill cost $900.00 and has a markup rate of 30%. Find the markup.: A treadmill cost $900.00 and has a markup rate of 30%. Find the markup.
Answer by checkley77(3624) (Show Source): |
Question 170016: A receptionist worked 38 hours this week. Find the receptionist's gross pay if she earns $5.50 per hour.: A receptionist worked 38 hours this week. Find the receptionist's gross pay if she earns $5.50 per hour.
Answer by checkley77(3624) (Show Source): |
Question 170018: A mechanic earns $15.00 an hour for 40 hours and receives time and a half for overtime. Last week he worked 46 hours. Find the mechanic's gros pay for last week.: A mechanic earns $15.00 an hour for 40 hours and receives time and a half for overtime. Last week he worked 46 hours. Find the mechanic's gros pay for last week.
Answer by checkley77(3624) (Show Source): |
Question 169940: Totally confused! Please help! Many Thanks!
At a local garage sale, Chris bought 4 gardening magazines and 3 mugs for $8.70. Sarah bought 5 magazines, 2 mugs and 3 refrigerator magnets for $12.35. Steve bought 2 magazines, 4 mugs and 4 refrigerator magnets for $15.50. What was the price of each refrigerator magnet?: Totally confused! Please help! Many Thanks!
At a local garage sale, Chris bought 4 gardening magazines and 3 mugs for $8.70. Sarah bought 5 magazines, 2 mugs and 3 refrigerator magnets for $12.35. Steve bought 2 magazines, 4 mugs and 4 refrigerator magnets for $15.50. What was the price of each refrigerator magnet?
Answer by Alan3354(1418) (Show Source):
You can put this solution on YOUR website!At a local garage sale, Chris bought 4 gardening magazines and 3 mugs for $8.70. Sarah bought 5 magazines, 2 mugs and 3 refrigerator magnets for $12.35. Steve bought 2 magazines, 4 mugs and 4 refrigerator magnets for $15.50. What was the price of each refrigerator magnet?
-----------------------------
GM = price of magazines
MU = price of mugs
RM = price of magnets
4GM + 3MU = 870
5GM + 2MU + 3RM = 1235
2GM + 4MU + 4RM = 1550
-------------
It's 3 eqns in 3 unknowns.
There are several ways to solve this. I have an Excel sheet that does determinants, so I'll use that.
| 4 3 0 870 |
| 5 2 3 1235 | = 0
| 2 4 4 1550 |
Det = 4*(8-12) - 3*(20-6) = -16 - 42
Det = -58
Det*GM = 3*(3*1550 - 4*1235) + 870*(2*4-4*3)
Det*GM = 3*(-290) + 870*(-4)
Det*GM = -4350
GM = -4350/(-58)
GM = 75 (cents)
-----------
Sub 75 into the 1st eqn to get MU
4GM + 3MU = 870
300 + 3MU = 870
MU = 190
-------------
Sub GM and MU
2GM + 4MU + 4RM = 1550
150 + 760 + 4RM = 1550
4RM = 640
RM = 160
----------
Magazine = $0.75
Mug = $1.90
Magnet = $1.60
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Question 169580: A cashier has P 50, P 100, and P500 bills. the number of P50 bills is 5 more than 7 times the number of P100 and the number of P500 bills is four-fifths the number of P100 bills. If the total amounts that she has P18 100, how many of each type of bills are there?
please give me your representation...
thank you: A cashier has P 50, P 100, and P500 bills. the number of P50 bills is 5 more than 7 times the number of P100 and the number of P500 bills is four-fifths the number of P100 bills. If the total amounts that she has P18 100, how many of each type of bills are there?
please give me your representation...
thank you
Answer by stanbon(18984) (Show Source):
You can put this solution on YOUR website! cashier has P 50, P 100, and P500 bills. the number of P50 bills is 5 more than 7 times the number of P100 and the number of P500 bills is four-fifths the number of P100 bills. If the total amounts that she has P18 100, how many of each type of bills are there?
--------------
Let # of P50 be "x":
Let # of P100 be "y":
Let # of P500 be "z":
--------------------------
EQUATIONS:
x = 7y + 5
z = (4/5)y
50x + 100y + 500z = 18100
-------------------------------
Rearrange:
50x + 100y + 500z = 18100
x -7y + 0 = 5
0 + 4y - 5z = 0
----------------------------
Use any method you know to get:
x = 152
y = 21
z = 16
==================
Cheers,
Stan H.
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Question 169932: This problem is for a project we were given:
Jeremy inherits $200,000 and invests part of the money in bonds with an interest rate of 8%. The remainder of the money is in savings at a 5% rate. What AMOUNT has he invested at EACH RATE if he recieves $14,800 interest for 1 year.?
So far I have the following:
let x= dollars invested at 8%
$200,000-x = dollars invested at 5%.
Equation as .08x+ .05(200,000-x)=$14,800
I know you have to clear the decimal and go from there, but when I tried to solve it I got some funky number.
thank you for your help!
: This problem is for a project we were given:
Jeremy inherits $200,000 and invests part of the money in bonds with an interest rate of 8%. The remainder of the money is in savings at a 5% rate. What AMOUNT has he invested at EACH RATE if he recieves $14,800 interest for 1 year.?
So far I have the following:
let x= dollars invested at 8%
$200,000-x = dollars invested at 5%.
Equation as .08x+ .05(200,000-x)=$14,800
I know you have to clear the decimal and go from there, but when I tried to solve it I got some funky number.
thank you for your help!
Answer by Earlsdon(3748) (Show Source):
You can put this solution on YOUR website!Well, there's certainly nothing wrong with your initial equation!
0.08x + 0.05($200,000-x) = $14,800 Perform the indicated multiplication
0.08x+$10,000-0.05x = $14,800 Combine like-terms.
0.03x+$10,000 = $14,800 Subtract $10,000 from both sides.
0.03x = $4,800 Divide both sides by 0.03
x = $160,000 and...
$200,000-x = $200,000-$160,000 = $40,000
So $160,000 was invested at 8% while $40,000 was invested at 5%
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Question 169932: This problem is for a project we were given:
Jeremy inherits $200,000 and invests part of the money in bonds with an interest rate of 8%. The remainder of the money is in savings at a 5% rate. What AMOUNT has he invested at EACH RATE if he recieves $14,800 interest for 1 year.?
So far I have the following:
let x= dollars invested at 8%
$200,000-x = dollars invested at 5%.
Equation as .08x+ .05(200,000-x)=$14,800
I know you have to clear the decimal and go from there, but when I tried to solve it I got some funky number.
thank you for your help!
: This problem is for a project we were given:
Jeremy inherits $200,000 and invests part of the money in bonds with an interest rate of 8%. The remainder of the money is in savings at a 5% rate. What AMOUNT has he invested at EACH RATE if he recieves $14,800 interest for 1 year.?
So far I have the following:
let x= dollars invested at 8%
$200,000-x = dollars invested at 5%.
Equation as .08x+ .05(200,000-x)=$14,800
I know you have to clear the decimal and go from there, but when I tried to solve it I got some funky number.
thank you for your help!
Answer by checkley77(3624) (Show Source):
You can put this solution on YOUR website!.08x+.05(200,000-x)=14,800
.08x+10,000-.05x=14,800
.03x=14,800-10,000
.03x=4,800
x=4,800/.03
x=$160,000 invested @ 8%
200,000-160,000=$40,000 invested @ 5%
Proof:
.08*160,000+.05*40,000=14,800
12,800+2,000=14,800
14,800=14,800
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Question 169932: This problem is for a project we were given:
Jeremy inherits $200,000 and invests part of the money in bonds with an interest rate of 8%. The remainder of the money is in savings at a 5% rate. What AMOUNT has he invested at EACH RATE if he recieves $14,800 interest for 1 year.?
So far I have the following:
let x= dollars invested at 8%
$200,000-x = dollars invested at 5%.
Equation as .08x+ .05(200,000-x)=$14,800
I know you have to clear the decimal and go from there, but when I tried to solve it I got some funky number.
thank you for your help!
: This problem is for a project we were given:
Jeremy inherits $200,000 and invests part of the money in bonds with an interest rate of 8%. The remainder of the money is in savings at a 5% rate. What AMOUNT has he invested at EACH RATE if he recieves $14,800 interest for 1 year.?
So far I have the following:
let x= dollars invested at 8%
$200,000-x = dollars invested at 5%.
Equation as .08x+ .05(200,000-x)=$14,800
I know you have to clear the decimal and go from there, but when I tried to solve it I got some funky number.
thank you for your help!
Answer by rajagopalan(121) (Show Source):
You can put this solution on YOUR website!You have solved a major portion:
let x= dollars invested at 8%
$200,000-x = dollars invested at 5%.
Equation as .08x+ .05(200,000-x)=$14,800
From here 3 more steps..
1. Expand...
0.08x+10000-0.05x=14800
2. Simplify
0.03x=14800-10000=4800
3. Solve
0.03x=4800
x=4800/0.03=160000
So ..Answer
dollars invested at 8%=160000
dollars invested at 5%=40000
good day
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Question 169879: Mary Grace invested a certain sum in an account that pays 6% interest and invested P10 000 more in another account that pays 10% interest. If the income from both investments was P34 000, then how much did he invest at each rate?
please give me your table for the solution: Mary Grace invested a certain sum in an account that pays 6% interest and invested P10 000 more in another account that pays 10% interest. If the income from both investments was P34 000, then how much did he invest at each rate?
please give me your table for the solution
Answer by stanbon(18984) (Show Source):
You can put this solution on YOUR website!Mary Grace invested a certain sum in an account that pays 6% interest and invested P10 000 more in another account that pays 10% interest. If the income from both investments was P34 000, then how much did he invest at each rate?
--------------------
Interest Equation: 0.06x + 0.10*(x+10,000) = 34000
6x + x + 10000 = 3400000
5x = 3390000
x = 678000 (amt. invested at 6%)
x + 100000 = 688000 (amt. invested at 10%
================
Cheers,
Stan H.
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Question 169878: A total of P600 000 is deposited into two simple interest accounts. On one account the annual simple interest rate is 8%, while on the second account the annual simple interest rate is 12%. How much should be invested in each account so that the total annual interest earned is P52 000?
please give me the table of your solution.: A total of P600 000 is deposited into two simple interest accounts. On one account the annual simple interest rate is 8%, while on the second account the annual simple interest rate is 12%. How much should be invested in each account so that the total annual interest earned is P52 000?
please give me the table of your solution.
Answer by jojo14344(879) (Show Source):
You can put this solution on YOUR website!Let = amount inv. @ 12%
So,  =amount inv. @ 8%
It follows:
 , EQN 1
x=100,000 ---------> amount inv. @ 12%
.
 =500,000 -------> amount inv.@8%
Let's check using Simple Annual Interest:
![I[8]=500000*.08*1](/cgi-bin/plot-formula.mpl?expression=I%5B8%5D=500000%2A.08%2A1&x=0003) =40,000
![I[12]=100000*.12*1](/cgi-bin/plot-formula.mpl?expression=I%5B12%5D=100000%2A.12%2A1&x=0003) =12,000
Therefore, ![I[8]+I[12]=I](/cgi-bin/plot-formula.mpl?expression=I%5B8%5D%2BI%5B12%5D=I&x=0003)
Thank you,
Jojo
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Question 169791: An invoice of 12,000 is dated Apriln 5. The terms 5/10, n/30 are offered. Find the amount due if the discount is earned. Show work.: An invoice of 12,000 is dated Apriln 5. The terms 5/10, n/30 are offered. Find the amount due if the discount is earned. Show work.
Answer by jojo14344(879) (Show Source): |
Question 169583: The regular price of a pair of shoes is P3 550. A discount of P1 065 is given. What percent of the regular price is the discount?
please give me your representation
thank you
: The regular price of a pair of shoes is P3 550. A discount of P1 065 is given. What percent of the regular price is the discount?
please give me your representation
thank you
Answer by Mathtut(512) (Show Source): |
Question 169584: A used car is on sale for a discount of 20% off the regular price of P550 000. an additional 10% discount on the sale price was offered. Is the result a 30% discount? What is the single discount that would give the same sale price?
please give me your representation thank you!!!!: A used car is on sale for a discount of 20% off the regular price of P550 000. an additional 10% discount on the sale price was offered. Is the result a 30% discount? What is the single discount that would give the same sale price?
please give me your representation thank you!!!!
Answer by Mathtut(512) (Show Source):
You can put this solution on YOUR website!no, the result is not a 30% discount...why because you are taking 20% on the original price and an addition 10% on the sales price.....if you were taking both discounts on the original price then the answer would be yes.
550000(.2)=110000 so the sales price is 440000(550000-110000) for which we take another 10% off 440000(.1)=44000. so the final sales price is 440000-44000=396000.
the final discount percentage can be found by taking the total of discounts 110000+44000=154000 and divide it by the orginal cost 550000
:
154000/550000=.28 or 28% discount
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Question 169586: A furniture store uses a markup rate of 60%. /the store sells a solid oak curio cabinet for P20 400. Find the cost of the curio cabinet?
please give me your representation thank you!!!
: A furniture store uses a markup rate of 60%. /the store sells a solid oak curio cabinet for P20 400. Find the cost of the curio cabinet?
please give me your representation thank you!!!
Answer by Mathtut(512) (Show Source):
You can put this solution on YOUR website!1.6x=20400....where x is the original cost.
 original cost.
remember the markup is 60%..
the way they originally figure the sales price is x+.6x=sales price
........................................1.6x=sales price
that is why you are dividing the sales price(20400) by 1.6 to find original cost
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Question 169591: Would you rather have a kilometer of quarters or a kilometer of dimes? (in a straight line, with the heads up). How much better is your choice?
: Would you rather have a kilometer of quarters or a kilometer of dimes? (in a straight line, with the heads up). How much better is your choice?
Answer by gonzo(474) (Show Source):
You can put this solution on YOUR website!i would rather have a kilometer of quarters.
here's why:
in order for me to break even, the diameter of the quarter needs to be 2.5 times the diameter of the dime.
assume the diameter of the quarter is 2.5 and the diameter of the dime is 1.
then 2.5 dimes fit into 1 quarter and i break even.
assume the diameter of the quarter is 3 and the diameter of the dime is 1.
then 3 dimes fit into 1 quarter so i get 30 cents from the dimes and only 25 cents from the quarter.
if the diameter of the quarter is more than 2.5 times the diameter of the dime, then i make more money on the dime.
if the diameter of the quarter is less than 2.5 times the diameter of the dime, then i make more money on the quarter.
the actual diameter of a quarter is 24.26 mm.
the actual diameter of a dime is 17.91 mm.
the ratio is less than 2.5 so the quarter is a better deal since i can only fit 24.26 / 17.91 = 1.35 dimes into a quarter (length only).
this proves out in actual practice.
1 km is equal to 1 million mm
1 million mm / 24.26 = 41220 quarters * .25 = $10,305.
1 million mm / 17.91 = 55835 dimes * .10 = $5,583.
quarters win by a long shot.
the assumption here is that they are lying on their tail side so the thickness of the coin is not a factor.
my choice is a lot better.
$10,305 for the quarters versus $5,583 for the dimes.
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Question 169591: Would you rather have a kilometer of quarters or a kilometer of dimes? (in a straight line, with the heads up). How much better is your choice?
: Would you rather have a kilometer of quarters or a kilometer of dimes? (in a straight line, with the heads up). How much better is your choice?
Answer by Mathtut(512) (Show Source):
You can put this solution on YOUR website!diameter of a quarter is 24.26 mm
diameter of a dime is 17.91 mm
1 km equals 1000000 milimeters
so for quarters divide 1000000/24.26=41220
.......dimes divide 1000000/17.91=55834
41220 multiplied by .25=$10305
55834 multiplied by .10=$5583
almost twice as money in quarters....I think I would choose quarters..lol
interestingly enough if you stacked both 1 kilometer high you would still end up with almost twice the value in quarters.
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Question 169484: Need a little help with equation.
The account at the beginning of the yr was $6700 and earned $619 in interest. Investments were in bonds earning 5% balance funds earning 8% and agressive funds earning 12%. There were $300 less in agressive than bonds and balances combined. How much was invested in each fund.: Need a little help with equation.
The account at the beginning of the yr was $6700 and earned $619 in interest. Investments were in bonds earning 5% balance funds earning 8% and agressive funds earning 12%. There were $300 less in agressive than bonds and balances combined. How much was invested in each fund.
Answer by Mathtut(512) (Show Source):
You can put this solution on YOUR website!a+b+c=6700 where a,b,c are amounts invested in bonds,balance,and aggessive respectively.
:
c=a+b-300...eq 2
.05a+.08b+.12c=619....eq 3
I will let you choose the method of solving this
I came up with a=$1500, b=$2000, and c=$3200
hope that helps
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Question 169285: Any help with this problem would be great...
What rate of interest, to the nearest tenth of a percent, compounded annually is needed for an investment of $1,500 to grow to $3,300 in four years?
Thanks to all the tutors out there.: Any help with this problem would be great...
What rate of interest, to the nearest tenth of a percent, compounded annually is needed for an investment of $1,500 to grow to $3,300 in four years?
Thanks to all the tutors out there.
Answer by checkley77(3624) (Show Source):
You can put this solution on YOUR website!1500(1+r)^4=3300
(1+r)^4=3300/1500
(1+r)^4=2.2
1+r=4thrt(2.2)
1+r=1.21788
r=1.21788-1
r=.21788 ans. for the rate.
Proof:
1500(1+.21788)^4=3300
1500(1.21788)^4=3300
1500*2.2=3300
3300=3300
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Question 169259: Maureen paid &62.06 including 7% tax for a sweater. How much did the sweater itself cost?: Maureen paid &62.06 including 7% tax for a sweater. How much did the sweater itself cost?
Answer by checkley77(3624) (Show Source): |
Question 169145: A computer is on sale for $800. The regular price was $950. Find the markdown.: A computer is on sale for $800. The regular price was $950. Find the markdown.
Answer by checkley77(3624) (Show Source): |
Question 169146: A fax machine is on sale for $250.00. The markdown rate is 40%. Find the regular price.: A fax machine is on sale for $250.00. The markdown rate is 40%. Find the regular price.
Answer by checkley77(3624) (Show Source): |
Question 169086: Henry invested $12,000 in a new restaurant. When the restaurant was sold two years later, he received $27,000. Find his average annual return by solving the equation 12,000(1+r)^2: Henry invested $12,000 in a new restaurant. When the restaurant was sold two years later, he received $27,000. Find his average annual return by solving the equation 12,000(1+r)^2
Answer by checkley77(3624) (Show Source):
You can put this solution on YOUR website!12,000(1+r)^2=27,000
(1+r)^2=27,000/12,000
(1+r)^2=2.25
1+r=sqrt2.25
1+r=1.5
5=1.5=1
r=.5 or 50% annual return on the value of the restraunt.
Proof:
12,000(1+.5)^2=27,000
12,000(1.5)^2=27,000
12,000*2.25=27,000
27,000=27,000
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Question 169013: The total simple interest on a savings certificate one year was $300 If the annual simpale interest rate was 15% what was the principal amount invested?
PXR=I
i have x*15%=$300 divide each side by 15 and you get 20.00 is this right?: The total simple interest on a savings certificate one year was $300 If the annual simpale interest rate was 15% what was the principal amount invested?
PXR=I
i have x*15%=$300 divide each side by 15 and you get 20.00 is this right?
Answer by nerdybill(1123) (Show Source):
You can put this solution on YOUR website!When considering interest of 15%
% means "per one hundred"
so 15% is
15/100 = .15
.
PR=I
The problem gives you:
I is $300
R is .15
.
Plugging it into:
PR=I
P(.15)=300
P = 300/.15
P = $2000
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Question 169014: what is the cost per pund of a candy mixture which consist of 2 pounds of chocolate which is $4.00 per puond and 6 pounds of carob candy which cost $5.00 per pound?
what i got was 4(2)+6(5)=x for x I got 38 now am I supposed to divide by 2 because they dont give you how many pounds for the mixture.: what is the cost per pund of a candy mixture which consist of 2 pounds of chocolate which is $4.00 per puond and 6 pounds of carob candy which cost $5.00 per pound?
what i got was 4(2)+6(5)=x for x I got 38 now am I supposed to divide by 2 because they dont give you how many pounds for the mixture.
Answer by ptaylor(1332) (Show Source):
You can put this solution on YOUR website!OK, Let x=cost per pound
Total weight of candy(lbs)=2+6=8 lb
Total cost of candy=2*$4.00+6*$5.00=$38
So, our equation to solve is:
8*x=$38 divide each side by 8
(Note: What we have here is total number of pounds(8) time the cost per pound(x)= total cost($38).)
x=$4.75 cost per pound of the mixture
2*$4.00 + 6* $5.00=8*$4.75
$38=$38
Hope this helps---ptaylor
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Question 168918: An invoice of $2,000 is dated November 10, and terms of 4/10. n/30 are being offered. Find the cash discount and the amount due if the invoice is paid within 10 days.: An invoice of $2,000 is dated November 10, and terms of 4/10. n/30 are being offered. Find the cash discount and the amount due if the invoice is paid within 10 days.
Answer by jojo14344(879) (Show Source):
You can put this solution on YOUR website!.
*If total invoice of $2,000 paid in 10 days, then the amount due is:
 =$1920.00 (Due in 10 days)
*Note: highlighted amount is the discount
.
Thank you,
Jojo
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Question 168919: A retailer purchases 700 pounds of carrots at a price of $0.30 per pound. The retailer expects that 8% of the carrots will be spoiled before he is able to sell them. The retailer would like a markup of 40% based on the cost. What price per pound should the retailer charge? Show your work: A retailer purchases 700 pounds of carrots at a price of $0.30 per pound. The retailer expects that 8% of the carrots will be spoiled before he is able to sell them. The retailer would like a markup of 40% based on the cost. What price per pound should the retailer charge? Show your work
Answer by jojo14344(879) (Show Source):
You can put this solution on YOUR website! -----> 40% markup on cost
.
"The retailer expects that 8% of the carrots will be spoiled before he is able to sell them." ----> this seems irrelevant to the problem????
.
Thank you,
Jojo
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Question 168925: A pair of diamond earrings is on sale for $2,200.00. The regular price was 2,800.00. Find the markdown rate.: A pair of diamond earrings is on sale for $2,200.00. The regular price was 2,800.00. Find the markdown rate.
Answer by jojo14344(879) (Show Source): |
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