|
Tutors Answer Your Questions about Finance (FREE)
Question 236074: Convert the decimal number to the given base.
68 to base eight
Answer by rfer(2588)   (Show Source):
Question 236234: I've forgotton how to do this. Could you tell me how to figure this out: if an item costs $21.69 ( a sale price) where the sale price is 73% of the original price, how to calculate the original price?
Can't believe I can't remember (oh yes I do!), after carrying a 4.0 in math for sll of Sr. H.S.!
Jar that memory! Any help is greatly appreciated,
Thank you,
Ruth
Answer by rfer(2588) (Show Source):
Question 235984: soybean meal is 12% protein:how many pounds of each should be mixed together in order to get 240 lbs mixture that is 9% protein.. how many lbs cornmeal should there be? how many lbs soybean should there be?
Answer by checkley77(6671) (Show Source):
You can put this solution on YOUR website!.12x+.06(240-x)=.09*240
.12x+14.4-.06x=21.6
.06x=21.6-14.4
.06x=7.2
x=7.2/.06
x=120 pounds of soybeans is used.
240-120=120 pounds of cornmeal is used.
Proof:
.12*120+.06*120=.09*240
14.4+7.2=21.6
21.6=21.6
Question 235985: in 1995 the life span of males in a certain country was 64.7 years. in 2001 it was 66.7 years. Let E represent the life span in year t represent the number of years since 1995.
E(t)=____t+____
E(11)=
Answer by ankor@dixie-net.com(6567)  (Show Source):
You can put this solution on YOUR website!in 1995 the life span of males in a certain country was 64.7 years. in 2001 it was 66.7 years. Let E represent the life span in year t represent the number of years since 1995.
:
Find the slope
In 1995; x1=0 and y1=64.7
In 2001; x2=6 and y2=66.7
:
Find the slope (m) using the slope equation: m = 
m =  =  = 
therefore:
The Linear function E(t) that fits the data is.
E(t)= t + 64.7
:
E(11)= (11) + 64.7
E(11)= 3.67 + 64.7
E(11)= 68.4 yrs is the life expectancy in 2006
Question 235983: the function H described by H(x)=2.75x+71.48 can be used to predict the height in centimeters of a woman whose humerous(the bone between elbow and shoulder)is x cm long. predict the height of a woman whose humerouse is 32 cm long.
Answer by solver91311(4818)  (Show Source):
Question 235981: the width of a rectangle is fixed at 10 cm. what lengths will make the perimeter greaterthan 82 cm? the length must be greater than _____ cm
Answer by solver91311(4818) (Show Source):
Question 235118: jouliana has $5.05 in quarters and dimes. The number of quaters exceed twice the number of dimes by 1.Find the number she has of each kind.
Answer by solver91311(4818) (Show Source):
Question 235108: I have freshman algebra, and I had an assignment today with scientific notation
the problem was
(3,000)^3. When solving the problem I multiplied 3,000 x 3,000 x 30000= 270,000.00. I wrote the scientic notation as 2.7 x 10^9 was I correct
Found 2 solutions by Edwin McCravy, solver91311:
Answer by Edwin McCravy(2878) (Show Source):
Answer by solver91311(4818) (Show Source):
You can put this solution on YOUR website!
In the first place 270,000.00 is not correct.
3000 times 3000 times 3000 is 27,000,000,000. The three 3s give you the 27 and the nine zeros give you nine zeros.
Then you wrote  , so work backwards from your answer to check if that is correct.
Start with 2.7 and then move the decimal point 9 places to the right:
2,700,000,000. Compare that to 27,000,000,000. Ten times too small. So what you need is:  .
You were off because 3 cubed is 27, but you are writing 2.7
John
Question 234904: You borrow $5000 from your parents and agree to repay them $5500 in five
years. They are charging you a flat simple interest rate. What is the interest rate.
Answer by rfer(2588) (Show Source):
Question 234897: please help! no idea where to start on this one
The first apartment I rented was 32 years ago in Chicago. The rent was $250 a
month. If inflation has been more or less around 4% a year and the rent has gone up
according to the inflation. What do you think the rent for that apartment is today?
Answer by Theo(547)  (Show Source):
You can put this solution on YOUR website!250 a month 32 years ago.
Rent goes up 4% each year.
250 * (1.04)^32 = 877.0146867 today.
Inflation is the increase in price per year.
At 4% per year, the rent is multiplied by 1.04 each year.
first year the rent is $250
Second year the rent is $250 * 1.04 = $260.00
Third year the rent is $260.00 * 1.04 = $270.4
You went up two years.
The formula is $250 * (1.04)^n where n is the number of years.
n = 2
250 * (1.04)^2 = $270.4
When n = 32, the formula becomes:
250 * (1.04)^32 = $877.0146867
Question 234464: Two packages together weigh 32 kilograms the smaller package weighs 6 kilograms less than the larger. How much does each package weigh? Use the variable s and L show setup and work. This is what I have so far but I am confused now...
s + L = 32
-2(s+L=32)
-2s+-2L= -2(32)
-2s -2L = -64
-2s-2L = -64
2s + 6L =
Answer by checkley77(6671) (Show Source):
You can put this solution on YOUR website!s + L = 32
-2(s+L=32)
-2s+-2L= -2(32)
-2s -2L = -64
-2s-2L = -64
2s + 6L =
My solution would be:
S+L=32 OR S=32-L
S=L-6
NOW SET THESE 2 EQUATIONS EQUAL TO EACH OTHER.
S=S OR:
L-6=32-L
L+L=32+6
2L=38
L=38/2
L=19 KG. FOR THE LARGER PACKAGE.
S+19=32
S=32-19
S=13 KG. FOR THE SMALLER PACKAGE.
Question 234384: Use A=P(l+r)^t to find the interest rate r.Round to the nearest hundredth.
Assume that interest is componded annually.
$8000(P) grows to $8487(A) in 2 years(t)
Answer by stanbon(25959) (Show Source):
You can put this solution on YOUR website!Use A=P(l+r)^t to find the interest rate r.
Round to the nearest hundredth.
Assume that interest is componded annually.
$8000(P) grows to $8487(A) in 2 years(t)
----------------------
8487 = 8000(1+r)^2
-------------------
Divide by 8000 to get:
8487/8000 = (1+r)^2
Take the positive square root of both sides:
1.02999 = 1+r
r = 0.029999
Rounding you get: r = 3%
==============================
Cheers,
Stan H.
Question 233276: There are 36 coins in a purse, all nickels and quarters. There are 8 more quarters than nickels. The total amount is $6.20. How many nickels and quarters are there?
Answer by stanbon(25959) (Show Source):
You can put this solution on YOUR website!There are 36 coins in a purse, all nickels and quarters. There are 8 more quarters than nickels. The total amount is $6.20. How many nickels and quarters are there?
---------------------
Equations:
Quantity Equation: n + q = 36
Value Equation::::5n +25q = 620 cents
============================================
Multiply thru the Quantity Equation by 5 to get:
5n + 5q = 5*36
---
Subtract that from the Value equation to get:
20q = 620-5*36
20q = 440
q = 22 (number of quarters)
----
Substitute into n+q=36 to solve for "n":
n = 36-22 = 14 (number of nickels)
=====================================
Cheers,
Stan H.
Question 233261: Q1) Find the zeros of f(x) = x2 − x −12. The zeros of f(x) are? And?
Answer by edjones(3194)  (Show Source):
Question 232472: The price of a cup of coffee was $2.20 yesterday. Today, the price rose to $2.55 Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer by stanbon(25959) (Show Source):
You can put this solution on YOUR website!The price of a cup of coffee was $2.20 yesterday. Today, the price rose to $2.55 Find the percentage increase. Round your answer to the nearest tenth of a percent.
Quantity increase: 2.55-2.20 = 0.35
Percent increase: 0.35/2.20 = 15.91%
=========================================
Cheers,
Stan H.
Question 232467: The price of a cup of coffee was $2.20 yesterday. Today, the price rose to 2.55 Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer by rfer(2588) (Show Source):
Question 231913: what is the amount of compound interest on 6,000.00 invested for two years at 9% compounded semiannualy
Answer by checkley77(6671) (Show Source):
You can put this solution on YOUR website!P(1+R/N)^TN R=RATE, N=THE NUMBER OF PERIODS PER YEAR, T=NUMBER OF YEARS.
6,000(1+.09/2)^2*2=6,000(1.045)^4=6,000*1.1925=$7,155.11 ANS.
Question 231734: what is total bill of 8.95 if tx is 8%
Answer by Jeff Gordon(22) (Show Source):
Question 231674: A janitor invested $11,000 for one year, part at 8%, and the rest at 11%. The 11% investment returns $450 more than the 8% investment. How much was invested at 11%?
Answer by stanbon(25959) (Show Source):
You can put this solution on YOUR website!A janitor invested $11,000 for one year, part at 8%, and the rest at 11%. The 11% investment returns $450 more than the 8% investment. How much was invested at 11%?
---------------
Let amount invested at 8% be "x".
Then amount invested at 11% is "11,000-x"
----------------------------------------------
Equation:
0.11(11000-x)-0.08x = 450
11(11000-x) - 8x = 45000
121000 - 11x - 8x = 45000
-19x = -76000
x = $4000 (amt invested at 8%
11000-x = $7000 (amt invested at 11%)
=========================================
Cheers,
Stan H.
Question 231290: shiela invests part of part of$6000 at 6% interest and the other part at 11% interest. Her total annual income from these investments is $460. How much is investes at each rate?
Answer by rfer(2588) (Show Source):
Question 231031: i cant get the right answer in algebra can you help me my exam is on october 29 please help me
Answer by ankor@dixie-net.com(6567) (Show Source):
You can put this solution on YOUR website!On this site you have to submit specific questions that you are having trouble with.
specify that you want step-by-step solutions, if you need that.
Question 230176: i owe 8,000 on student loan. My interset rate is 4.5 % I pay 125 a month. usually 95 goes to principle and the other 30 goes to interest. I want to know if this is correct?
Answer by ankor@dixie-net.com(6567) (Show Source):
You can put this solution on YOUR website!That sounds about right, you can check the interest/principal value for each month
on this website. Calculate, then click "show amortization table
www.bankrate.com/calculators/mortgages/loan-calculator.aspx
Question 229643: A principal of $2400 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 8 years?
Answer by shahas101(3) (Show Source):
Question 228218: simplify variable expression
-2(-5)q + (-72) (-q)
thank you
Answer by JenniferTutors(42)  (Show Source):
You can put this solution on YOUR website!In this problem, you would combine like terms, following order of operations from left to right.
-2(-5)q + (-72)(-q)
10q+72q
82q is your answer
Remember: negative X negative = positive
Question 227754: Please help me solve this:  .
Answer by Alan3354(5863)  (Show Source):
Question 225980: A jar contains 40 coins consisting of dimes and quarters and having a total value of $4.90. How many of each kind of coin are there?
I know that somehow I use .1d+.25q=$4.90 but I don't know how to add the 40 in there. Help please!
Found 2 solutions by edjones, scott8148:
Answer by edjones(3194) (Show Source):
You can put this solution on YOUR website!Let d=number of dimes, q=number of quarters
d+q=40
q=40-d
.1d+.25q=4.9 good work.
.1d+.25(40-d)=4.9
.1d+10-.25d=4.9
-.15d=-5.1
d=34
q=6
.
Ed
Answer by scott8148(3325)  (Show Source):
You can put this solution on YOUR website!two unknowns means two equations
the one with the 40 is ___ "40 coins consisting of dimes and quarters" ___ d + q = 40 ___ d = 40 - q
substituting ___ .1(40-q) + .25q = 4.90
distributing ___ 4 -.1q + .25q = 4.90
subtracting 4 ___ .15q = .90
dividing by .15 ___ q = 6
substituting ___ d + 6 = 40 ___ d = 34
Question 223820: if you invest $8,000 per period for 7 years at 8% how much would you have
Answer by checkley77(6671) (Show Source):
Question 223606: Okay, this one has be banging my head on my desk.
From June 2003 until April 2004 Blue airlines stock was worth approximately P=-4r^2+80t-360, where P denotes the price of the stock in dollars and to cooresponds to months, with t=1 cooresponding to January 2003.
During what months was the stock equal to $24
Answer by tutor_paul(424)  (Show Source):
You can put this solution on YOUR website!I assume you meant t^2 rather than r^2? If not let me know...
P is the price, so set the equation equal to 24:
Equate quadratic to zero:
You can factor this:
Equate each term to zero and solve for t:
To get the actual months where the stock was $24, remember that January 2003 is 1. So you can see that the stock was at this price in August and December of 2003.
=====================
Good Luck,
tutor_paul@yahoo.com
Question 223456: Hello, word problem get me everytime. I never know how to set them up.
Ash has $120,000 to invest and puts some in a CD at 4% annual interest. He puts the rest in a stock that earns 7%. How much did he invest in each to earn $7800 interest that year?
Thank you in advance
Answer by rfer(2588) (Show Source):
Question 222144: I need help in my algebra class setting up this word problem.
Jake invested $6,000, part at 6% simple interest and part at 4%simple interest for a period of 1 year. How much did she invest at each rate if each account earned the same interest?
Answer by ankor@dixie-net.com(6567) (Show Source):
You can put this solution on YOUR website!Jake invested $6,000, part at 6% simple interest and part at 4%simple interest for a period of 1 year.
How much did she invest at each rate if each account earned the same interest?
;
Let x = amt invested at 6%
then
(6000-x) = amt invested a 4%
:
int at 6% = int at 4%
.06x = .04(6000-x)
.06x = 240 - .04x
.06x + .04x = 240
.10x = 240
x = 
x = $2400 invested at 6%
then
6000 - 2400 = $3600 invested at 4%
;
:
Check solution by find that amt of interest earned by each
.06(2400) = $144
.04(3600) = $144
Question 221884: When a single card is drawn from a shuffled deck of cards, find the odds against getting a 9.
Answer by Alan3354(5863) (Show Source):
You can put this solution on YOUR website!When a single card is drawn from a shuffled deck of cards, find the odds against getting a 9.
--------
There are 4 9's, so the odds of getting a 9 are 4/52 = 1/13.
The odds against are 1 - 1/13 = 12/13
Question 220941: Find the accumulated amount after 5 years if $12,000 is invested at 18% per year compounded continuosly. Do I use 365 and 1/2???? I'm confused.
Answer by checkley77(6671) (Show Source):
Question 220944: If 12,000 is invested at an interest rate of 18 % per year compounded continuously, how long will it take for the money to double?
Help, they threw me a curve ball with this one.
Answer by rfer(2588) (Show Source):
You can put this solution on YOUR website!that is a tough one.
I played around a little and came up with 3.855 yrs
A=12000(2.7183)^.18*3.855
A=12000(2.00151549)
A=24018.19
not exact science, but close.
Question 220904: how is algebra applied in biology?
Answer by stanbon(25959) (Show Source):
You can put this solution on YOUR website!I searched the web for "applications of algebra to biology"
and found that algebra permeates every aspect of modern
biology. The main area is the application of statistics in
biology, but Boolean algebra is also applied. Most of the
applications of algebra are far beyond the basic algebra
taught in high schools. All bodily functions and failings
are modeled algebraically.
--------------------------------
Students often say "show me some applications of this math".
The trouble is most students cannot understand the math used
in the applications. Students need to learn the basics.
Football players do not start at the NFL level.
------------------------------------
Cheers,
Stan
Question 220784: Could someone explain how to solve the following problem?
Please.
Find the accumulated amount after 5 years if $12,000 is invested at 18% per year compounded monthly.
Thank you!!!!
Answer by Alan3354(5863) (Show Source):
You can put this solution on YOUR website!Find the accumulated amount after 5 years if $12,000 is invested at 18% per year compounded monthly.
-----------------
5 yrs = 60 months = # of periods
Interest rate/month = 0.18/12 = 0.015
FV = 12000*(1+0.015)^60
FV = 12000*2.44322
FV = $29318.64
Question 220751: 2/3 = 5/x
what does x equal and how do u work it out in a way were u do the same think to each side.
Found 2 solutions by Alan3354, tutor_paul:
Answer by Alan3354(5863) (Show Source):
You can put this solution on YOUR website!2/3 = 5/x
Multiply both sides by 3
2 = 15/x
Multiply both sides by x
2x = 15
Divide by 2
x = 15/2
---------
With 2 fractions, you can cross-multiply - the NUM of one time the DEN of the other.
--------
2/3 = 5/x
2x = 15
x = 15/2
Saves some steps, same answer.
Answer by tutor_paul(424) (Show Source):
You can put this solution on YOUR website!
Multiply each side of the equation by x:
Now you can cancel the x terms on the right, since x/x=1:
Next you want to get x alone on one side of the equation. Multiply each side of the equation by 3:
Solve for x by dividing each side of the equation by 2:
================
Good Luck,
tutor_paul@yahoo.com
Question 219998: A student buys a ticket to a concert at discount of 20%. His ticket cost $6.80.
What is full price?
Answer by likaaka(51) (Show Source):
You can put this solution on YOUR website!Set your equation as so,
6.80/x=1-20%
6.80/x=80%, in other words 340 is 82% of what
Convert percentage to a decimal fraction
6.80/x=.80
6.80=.80x, solve for x
6.80/.80=x
x=8.50
Full price of the ticket is $8.50
Question 220275: The monthly payment on a 2-year loan is $500. The interest rate is 6.65% compunded monthly. What is the amount of the loan?
Answer by Theo(547) (Show Source):
You can put this solution on YOUR website!Formula for present value of a series of payments is:
PRESENT VALUE OF A PAYMENT
PV = present value
PMT = payment per time period
i = interest rate per time period
n = number of time periods
-----
6.55% per year compounded monthly is:
6.55/12 = .554166667% per month which equals a rate of:
.00554166667 per month.
Number of month is 2 years * 12 months = 24 months
payment is $500 per month.
-----
PV = what we want to find.
PMT = $500 per month
i = .00554166667 per month
n = 24 months
Formula becomes:
which equals: $11,224.28901
-----
The loan was $11,224.28901
The lender received $12,778.06 by the end of the loan (Future Value of a Series of Payments).
Principal was $11,224.29
Interest was $1,553.77
Question 219967: an annuity pays 6.55% annual interest rate compunded semiannually. If $500 is deposited every six months for two years, how much interest is earned?
Answer by stanbon(25959) (Show Source):
You can put this solution on YOUR website!an annuity pays 6.55% annual interest rate compunded semiannually. If $500 is deposited every six months for two years, how much interest is earned?
------------------
A(t) = P(1+(r/n))^(nt)
A(2) = 500(1+(0.0655/2))^(2*2)
A(2) = 500(1.1376)
This is the value of the account after 2 years.
-------------------------
Interest = 0.1376*500 = $68.79
====================================
Cheers,
Stan H.
Question 219366: Warren has 40 coins (all nickels, dimes, and quarters) worth $4.05. He has 7 more nickels than dimes. How many quarters does Warren have? I have been stumped for over an hour with this question. Can you help?
Answer by ankor@dixie-net.com(6567) (Show Source):
You can put this solution on YOUR website!Warren has 40 coins (all nickels, dimes, and quarters) worth $4.05. He has 7 more nickels than dimes. How many quarters does Warren have?
:
Write an equation for each statement:
:
"Warren has 40 coins"
n + d + q = 40
:
"(all nickels, dimes, and quarters) worth $4.05."
.05n + .10d + .25q = 4.05
:
"He has 7 more nickels than dimes."
n = d + 7
:
How many quarters does Warren have?
:
Substitute (d+7) for n in both equations, simplify, results:
(d+7) + d + q = 40
2d + q = 40 - 7
2d + q = 33
q = (33-2d); can use this for substitution
and
.05(d+7) + .10d + .25q = 4.05
.05d + .35 + .10d + .25q = 4.05
.15d + .25q = 4.05 - .35
.15d + .25d = 3.70
:
Substitute (33-2d) for q in the above equation
.15d + .25(33-2d) = 3.70
.15d + 8.25 - .5d = 3.70
.15d -.5d = 3.70 - 8.25
-.35d = -4.55
d = 
d = +13 dimes
:
Find n using n = d+7
n = 13 + 7
n = 20 nickels
:
Find q using q = (33-2d)
q = 33 - 2(13)
q = 33 - 26
q = 7 quarters, which is what they asked for
;
:
Check solution in the total$ equation
.05(20) + .10(13) + .25q(7) =
1.00 + 1.30 + 1.75 = 4.05
Question 219555: what interest rate is required for an investment with continuously compounded interest to double in 6 years
Answer by jim_thompson5910(13679) (Show Source):
You can put this solution on YOUR website!
 Start with the continuous compounding interest formula.
 Plug in  ,  , and  .
 Rearrange the terms.
 Divide both sides by  .
 Divide  to get  .
 Take the natural log of both sides.
 Pull down the exponent using the identity  .
 Evaluate  to get  .
 Multiply.
 Evaluate  to get 
 Divide both sides by  to isolate 'r'
 Divide  to get 
 Rearrange the equation.
 Round to the nearest ten-thousandth.
So an interest rate of about 11.55% (don't forget to multiply by 100 to convert the decimal to a percent) will make the initial investment of $250 grow to $500 in 6 years.
Question 219423: A Fletchbuild coupon bond matures in four years, pays an semi-annual coupon rate
of 10.5 % and will be redeemed at a face value of $1,000 at maturity. If you require a semi-annually compounded return of 12 % on this investment what is the most you should be willing to pay for this bond?
Answer by Theo(547) (Show Source):
You can put this solution on YOUR website!4 year bond.
semi-annual coupon rate of 10.5%
$1,000 bond.
-----
I'm pretty sure this is the way it's done.
-----
A time period is every 6 months.
-----
Your study is for 8 time periods.
-----
Your coupon is 10.5% per year paid semi-annually which means you get half of that every 6 months.
-----
Half of that every 6 months is .105/2 * $1,000 = $52.50 at the end of each time period.
-----
At the end of the 8th time period you will be getting the last of the $52.50 plus you will be getting $1,000.
-----
The rate of return you are looking for is an annual rate of 12% compounded semi-annually.
That means for 8 time periods you will be earning 6% compounded interest each time period.
-----
Present Value of $52.50 payments at the end of each of 8 time periods at 6% compounded per time period equals $326.0141751
-----
Present Value of a future amount of $1,000 for 8 time periods at 6% compounded per time period equals $627.4123713
-----
Add these up together and you get $$953.4265464.
-----
This is what you should pay for the bonds today.
-----
You will earn 12% a year compounded annually.
-----
To confirm this, I looked at it from a cash flow analysis point of view.
-----
The Future Value of $953 for 8 time period at 6% per time period is equal to $1519.617065
-----
If you invest $953 today, you should have $1519.617065 in your account at the end of the 8 time periods.
-----
This is small enough to calculate each year separately, so I'll do it.
-----
You invest $953 at the beginning of time period 0.
End of Time Period 1 = $52.06
End of Time Period 2 = * 1.06 + $52.5 = $108.15
End of Time Period 3 = * 1.06 + $52.5 = $167.14
End of Time Period 4 = * 1.06 + $52.5 = $229.67
End of Time Period 5 = * 1.06 + $52.5 = $295.95
End of Time Period 6 = * 1.06 + $52.5 = $366.20
End of Time Period 7 = * 1.06 + $52.5 = $440.68
End of Time Period 8 = * 1.06 + $52.5 = $519.62 + $1,000 = $1519.62 *****
-----
The cash flow analysis and the Future Value of a Present Amount yield the same result so it's probably accurate.
-----
I think I got the coupon rate right. That looks like the way they do it. the coupon rate is an annual rate based on the face value of the bond. If you get the coupon semi-annually, then you get half of it two times a year.
-----
Formulas I used are shown below:
-----
FUTURE VALUE OF A PRESENT AMOUNT
FV = Future Value
PA = present amount
i = Interest Rate per Time Period
n = Number of Time Periods
-----
PRESENT VALUE OF A FUTURE AMOUNT
PV = Present Value
FA = future amount
i = Interest Rate per Time Period
n = Number of Time Periods
-----
PRESENT VALUE OF A PAYMENT
PV = Present Value
PMT = Payment per time period
i = Interest Rate per Time Period
n = Number of Time Periods
-----
|
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855
|
| |
