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Tutors Answer Your Questions about Percentage-and-ratio-word-problems (FREE)
Question 170746This question is from textbook elementary algebra
: Bryce insist that (2+x)/8 is equivlent to (1+x)/4. What mistake do you think he is making and how could you demonstrate to Bryce that the two expressions are not equivalent?This question is from textbook elementary algebra
: Bryce insist that (2+x)/8 is equivlent to (1+x)/4. What mistake do you think he is making and how could you demonstrate to Bryce that the two expressions are not equivalent?
Answer by Mathtut(559)  (Show Source):
You can put this solution on YOUR website!he seems to be simply comparing the ratios of 2/8 and 1/4 and paying no attention to the x terms........one way to prove he is wrong is to find the lcd...which is 8 in this case. once the denominators are equal we can compare the numerators
:
 .....eq 1
 --->..eq 2 multiply top and bottom by 2--->  = 
:
clearly 2+x is not equal to 2+2x
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Question 170742: 750 freshmen ate cranberry ice cream 1250 ate coconut what is the fraction of freshmen who ate cranberry ice cream? Please help: 750 freshmen ate cranberry ice cream 1250 ate coconut what is the fraction of freshmen who ate cranberry ice cream? Please help
Answer by Mathtut(559) (Show Source): |
Question 170511: Express 0.01 as a fraction. Show all your work.: Express 0.01 as a fraction. Show all your work.
Answer by stanbon(19017) (Show Source): |
Question 170410: I get really confused when trying to set these problems up. Can you help me work this one out so I can use it for my other questions please? How many liters of a 40% alcohol solution should be mixed with 40 liters of a 90% solution to get a 50% solution? Thanks for your help.: I get really confused when trying to set these problems up. Can you help me work this one out so I can use it for my other questions please? How many liters of a 40% alcohol solution should be mixed with 40 liters of a 90% solution to get a 50% solution? Thanks for your help.
Answer by Edwin McCravy(2087) (Show Source):
You can put this solution on YOUR website!Edwin's solution with chart:
I get really confused when trying to set these problems up. Can you help me work this one out so I can use it for my other questions please? How many liters of a 40% alcohol solution should be mixed with 40 liters of a 90% solution to get a 50% solution? Thanks for your help.
Make this chart:
| liters | % | pure alcohol
--------------------------------------------
1st solution | | |
2nd solution | | |
---------------|--------|-----|-------------
final solution | | |
Let x = liters of 1st solution
and we are given that there are 40 liters
of the 2nd solution, so fill in x and 40
liters.
| liters | % | pure alcohol
--------------------------------------------
1st solution | x | |
2nd solution | 40 | |
---------------|--------|-----|-------------
final solution | | |
Add the two to get x+40 liters of final solution.
| liters | % | pure alcohol
--------------------------------------------
1st solution | x | |
2nd solution | 40 | |
---------------|--------|-----|-------------
final solution | x+40 | |
Put in the three percentages as decimals:
| liters | % | pure alcohol
--------------------------------------------
1st solution | x | .40 |
2nd solution | 40 | .90 |
---------------|--------|-----|-------------
final solution | x+40 | .50 |
Now get the amount of pure alcohol contained
in each by multiplying by the percentage as
a decimal.
| liters | % | pure alcohol
--------------------------------------------
1st solution | x | .40 | .40x
2nd solution | 40 | .90 | .90(40)
---------------|--------|-----|-------------
final solution | x+40 | .50 | .50(x+40)
The equation comes from the last column:
.40x + .90(40) = .50(x+40)
Can you solve that for x? If not post again.
answer: x = 160 liters
Edwin
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Question 170410: I get really confused when trying to set these problems up. Can you help me work this one out so I can use it for my other questions please? How many liters of a 40% alcohol solution should be mixed with 40 liters of a 90% solution to get a 50% solution? Thanks for your help.: I get really confused when trying to set these problems up. Can you help me work this one out so I can use it for my other questions please? How many liters of a 40% alcohol solution should be mixed with 40 liters of a 90% solution to get a 50% solution? Thanks for your help.
Answer by Mathtut(559) (Show Source):
You can put this solution on YOUR website!lets call x the number of liters for the 40% solution.
40%(x)+90%(40)=50%(40+x)
:
.4x+.9(40)=.5(40+x)
:
.4x+36=20+.5x
:
.1x=16
:
 liters of 40% solution
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Question 170309: jhon can run 36 yards in 48 seconds. what is his running rate in yards per seconds?: jhon can run 36 yards in 48 seconds. what is his running rate in yards per seconds?
Answer by checkley77(3654) (Show Source): |
Question 170311: my office is 12 feet by 8 feet, while lena's office is 18 feet by 12 feet.
a) what is the ratio of the perimeter of lena's office to my office
b) what is the ratio of the area of lena's office to my office?: my office is 12 feet by 8 feet, while lena's office is 18 feet by 12 feet.
a) what is the ratio of the perimeter of lena's office to my office
b) what is the ratio of the area of lena's office to my office?
Answer by checkley77(3654) (Show Source):
You can put this solution on YOUR website!2*12+2*8=24+16=40 ft. for your perimeter.
2*18+2*12=36+24=60 ft. for Lena's perimeter.
60/40=1.5 is the ratio of the perimeters.
12*8=96 ft^2
18*12=216 ft^2
216/96=2.25 is the ratio of the area.
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Question 170313: richard makes strawberry milk shakes. he mixes 10 1/2 cups of milk and 5 3/4 cups of strawberry icc cream for every 10 milk shakes. richard needs to make 25 milk shakes for a party. how many cups of milk and how many cups of strawberry ice cream does he need?: richard makes strawberry milk shakes. he mixes 10 1/2 cups of milk and 5 3/4 cups of strawberry icc cream for every 10 milk shakes. richard needs to make 25 milk shakes for a party. how many cups of milk and how many cups of strawberry ice cream does he need?
Answer by checkley77(3654) (Show Source):
You can put this solution on YOUR website!10.5/10=1.05 CUPS OF MILK PER SHAKE.
5.75/10=.575 CUPS OF STRAWBERRY ICE CREAM PER SHAKE.
1.05*25=26.25 CUPS OF MILK ARE USED.
.575*25=14.375 CUPS OF ICE CREAM ARE USED.
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Question 170315: staple's sells a package of 7 colored white board makers for $3.78. at this rate how much one dozen white board makers will cost?
: staple's sells a package of 7 colored white board makers for $3.78. at this rate how much one dozen white board makers will cost?
Answer by checkley77(3654) (Show Source): |
Question 170317: jimmy has a large house, he needs to fence his yard so his dog can run and play without running away. The yard is 20.5 feet by 16.2 feet. the fencing costs $9.50 for 3 yards. how much will it cost him to fence the whole yard? (round your answer to the nearest cent): jimmy has a large house, he needs to fence his yard so his dog can run and play without running away. The yard is 20.5 feet by 16.2 feet. the fencing costs $9.50 for 3 yards. how much will it cost him to fence the whole yard? (round your answer to the nearest cent)
Answer by checkley77(3654) (Show Source): |
Question 170306: a 36 ounce bottle of orange juice cost $3.69, while 64.2 ounce bottle of orange juice costs $5.94. which bottle of orange juice is the best buy: a 36 ounce bottle of orange juice cost $3.69, while 64.2 ounce bottle of orange juice costs $5.94. which bottle of orange juice is the best buy
Answer by Mathtut(559) (Show Source): |
Question 170208This question is from textbook A Problem Solving Approach to Mathematics for Elementary School Teachers
: When Professor Sum was asked by Mr. Little how many students were in his classes, he answered, “All of them study either languages, physics, or not at all. One-half of them study languages only, one-fourth of them study French, one-seventh of them study physics only, and 20 do not study at all.” How many students does Professor Sum haveThis question is from textbook A Problem Solving Approach to Mathematics for Elementary School Teachers
: When Professor Sum was asked by Mr. Little how many students were in his classes, he answered, “All of them study either languages, physics, or not at all. One-half of them study languages only, one-fourth of them study French, one-seventh of them study physics only, and 20 do not study at all.” How many students does Professor Sum have
Answer by ankor@dixie-net.com(4538) (Show Source):
You can put this solution on YOUR website!All of them study either languages, physics, or not at all. One-half of them study languages only, one-fourth of them study French, one-seventh of them study physics only, and 20 do not study at all.” How many students does Professor Sum have
:
Let x = no. of students he has
:
"One-half of them study languages only,
.  x
" one-fourth of them study French,"
 x
:
" one-seventh of them study physics only,"
 x
and 20 do not study at all.” How many students does Professor Sum have
:
The French students are included with the languages, so we have:
x = x + x + 20
Multiply equation by 14
14x = 7x + 2x + 280
:
14x - 9x = 280
x = 
x = 56 students
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Question 170225: Slick jim won the lottery.he spent Two thirds of his winnings on a very posh house.he spent two thirds of what he had left on a luxury yacht. Then he spent two thirds of what he had left on a hot air balloon. He spent his last £20000 on a flashy car. How much did Slick Jim win on the lottery? many thanks,dj.: Slick jim won the lottery.he spent Two thirds of his winnings on a very posh house.he spent two thirds of what he had left on a luxury yacht. Then he spent two thirds of what he had left on a hot air balloon. He spent his last £20000 on a flashy car. How much did Slick Jim win on the lottery? many thanks,dj.
Answer by maali40(13) (Show Source):
You can put this solution on YOUR website!W pounds ='s winnings L='s 200000 2/3*W * (the sum of parts that follow as j=0 to 2 of (1/3)^j) = W-L=2/3*W*((1/3)^3-1)/(1/3-1)=52/54*W =W-200000. Therefore w=200000/27
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Question 170225: Slick jim won the lottery.he spent Two thirds of his winnings on a very posh house.he spent two thirds of what he had left on a luxury yacht. Then he spent two thirds of what he had left on a hot air balloon. He spent his last £20000 on a flashy car. How much did Slick Jim win on the lottery? many thanks,dj.: Slick jim won the lottery.he spent Two thirds of his winnings on a very posh house.he spent two thirds of what he had left on a luxury yacht. Then he spent two thirds of what he had left on a hot air balloon. He spent his last £20000 on a flashy car. How much did Slick Jim win on the lottery? many thanks,dj.
Answer by ptaylor(1332) (Show Source):
You can put this solution on YOUR website!Let w=Slick Jim's initial winnings
1. He spent (2/3)w on a posh house and had (w-(2/3)w)=(1/3)w left
2. He spent (2/3)*(1/3)w=(2/9)w on a luxury yacht and had ((1/3)w-(2/9)w)=
(3/9)w-(2/9)w=(1/9)w left
3. He spent (2/3)*(1/9)w=(2/27)w on a hot air baloon and had ((1/9)w-(2/27)w)=
(3/27)w-(2/27)w=(1/27)w left and we are told that this equals £20000, so our equation to solve is:
(1/27)w=£20000 multiply each term by 27
w=£540,000-------------------------------------his winnings
CK
(2/3)*540,000=360,000; 540,000-360,000=180,000
(2/3)*180,000=120,000; 180,000-120,000=60,000
(2/3)*60,000=40,000; 60,000-40,000=20,000
20,000=20,000
Hope this helps---ptaylor
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Question 170123: A plumber needs four sections of pipe 2 7/8 feet long. Can this be cut from a 12-foot section? If so, how much pipe will be left over? If not, why not?: A plumber needs four sections of pipe 2 7/8 feet long. Can this be cut from a 12-foot section? If so, how much pipe will be left over? If not, why not?
Answer by stanbon(19017) (Show Source):
You can put this solution on YOUR website! A plumber needs four sections of pipe 2 7/8 feet long. Can this be cut from a 12-foot section? If so, how much pipe will be left over? If not, why not?
-----------------
12 ft - 4(2 7/8) ft.
= 12 - 4(23/8)
= 12 - 92/8
= 96/8 - 92/8 = 4/8= 1/2 ft.
--------------------
There will be 1/2 ft left over.
==========================
Cheers,
Stan H.
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Question 169772: A glass manufactuer produces 1200 glasses a week. if these, 2 1/3% are defective and 4 1/3% are damaged in packaging. how many undamaged and nondefective glasses are shipped each week?
: A glass manufactuer produces 1200 glasses a week. if these, 2 1/3% are defective and 4 1/3% are damaged in packaging. how many undamaged and nondefective glasses are shipped each week?
Answer by solver91311(1877) (Show Source):
You can put this solution on YOUR website!6 2/3% are either damaged or defective, so 93 1/3% are neither damaged or defective. 93 1/3% of 1200 is your answer. I'll leave the arithmetic to you.
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Question 169560: I thank you in advance for your assistance. I have not done any problems in a while! the problem is:
Mr. Jones had to interview a total of 63 households in his assignment. He has already finished 28. what percentage of the households in his assignments has he finished? (round to the nearest tenth of a percent): I thank you in advance for your assistance. I have not done any problems in a while! the problem is:
Mr. Jones had to interview a total of 63 households in his assignment. He has already finished 28. what percentage of the households in his assignments has he finished? (round to the nearest tenth of a percent)
Answer by elima(1423) (Show Source):
You can put this solution on YOUR website!total= 63;
He has finished 28;
What we are asked to find is the percent - that is our variable = P
We have;
28 = 63P
divide each side by 63;
.4444=P
rounded to nearest tenth;
P=.4
:)
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Question 169601: Mr. Hernandez had to interview a totla of 63 households in his assignment. He has already finishd 28.
what percentage of the households in his assignments has he finished? (round to the nearest 10th)
The answer given was 44.4%, but how did they come to this. I thank you for assisting me in showing me step by step how this came to be the answer. : Mr. Hernandez had to interview a totla of 63 households in his assignment. He has already finishd 28.
what percentage of the households in his assignments has he finished? (round to the nearest 10th)
The answer given was 44.4%, but how did they come to this. I thank you for assisting me in showing me step by step how this came to be the answer.
Answer by checkley77(3654) (Show Source): |
Question 169295This question is from textbook
: Susan is planning on investing her $1,600 bonus, putting some in an account earning 6% and the rest in an account earning 8%. How much should she put in each to have a total of $104 interest?This question is from textbook
: Susan is planning on investing her $1,600 bonus, putting some in an account earning 6% and the rest in an account earning 8%. How much should she put in each to have a total of $104 interest?
Answer by Mathtut(559) (Show Source):
You can put this solution on YOUR website!The amount of money invested at each rate added together will equal the interest earned. call x the amount invested at 6% and 1600-x the amount invested at 8%
:
.06(x)+.08(1600-x)=104
:
.06x+128-.08x=104
:
.02x=24
:
 invested at 6%
 invested at 8%
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Question 169194: Someone please help me with the following problem:
Suppose $5000 is invested at interest rate k, compounded continuously and grows to $6954.84 in 6 years.
(a) Find the interest rate
(b) Find the exponential growth function
(c) Find the balance after 10 years
(d) Find the doubling time
Thanks.
: Someone please help me with the following problem:
Suppose $5000 is invested at interest rate k, compounded continuously and grows to $6954.84 in 6 years.
(a) Find the interest rate
(b) Find the exponential growth function
(c) Find the balance after 10 years
(d) Find the doubling time
Thanks.
Answer by ankor@dixie-net.com(4538) (Show Source):
You can put this solution on YOUR website!Someone please help me with the following problem:
Suppose $5000 is invested at interest rate k, compounded continuously and grows to $6954.84 in 6 years.
:
The continuous interest formula:  = A
Where:
P = initial amt (5000)
r = interest rate in decimal form (k in this problem)
t = time, in years (6yrs)
A = final amt (6954.84)
:
(a) Find the interest rate
 = 6954.84
 = 
:
= 1.390968; divided both sides by 5000
:
6k*ln(e) = ln(1.390968); find the nat log of both sides
:
6k = .33; nat log of e is 1
:
k = 
k = .055, 5.5% interest
:
Check on a calc: enter: 5000*e^(6*.055) = 6954.84
>
:
<
(b) Find the exponential growth function
A = 
;
:
(c) Find the balance after 10 years
On a calc enter  = 8666.27
(d) Find the doubling time
= 10000; we want to find t here
:
 = 
:
 = 2;
:
.055t*ln(e) = ln(2); find the nat log of both sides
:
.055t = .693;
:
t = 
t = 12.6 yrs
:
:
Check on a calc: enter: 5000*e^(12.6*.055) = 9998.53 ~ 10000
>
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Question 169105: A file cabinet that normally sells for 3995 pesos is on sale for 20% off.Find the sale price.: A file cabinet that normally sells for 3995 pesos is on sale for 20% off.Find the sale price.
Answer by nerdybill(1129) (Show Source):
You can put this solution on YOUR website! A file cabinet that normally sells for 3995 pesos is on sale for 20% off.Find the sale price.
.
If it is on sale for 20%, the "sale price" is then:
80% of full price.
.
.80 * 3995 = 3196 pesos
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Question 169040: A beaker contains 400L of a solution that is 32% acid. How much water should be added to make a solution that is 25% acid? I need help in organizing a chart showing how I got my answer. Thank you.: A beaker contains 400L of a solution that is 32% acid. How much water should be added to make a solution that is 25% acid? I need help in organizing a chart showing how I got my answer. Thank you.
Answer by checkley77(3654) (Show Source): |
Question 169042: A farmer sold bushels of wheat and bushels of oats. For 425 bushels, he received $481.58. How many bushels of each did he sell, if he received $2.08 per bushel of wheat and $.94 per bushel of oats? Please help! I cannot figure out how to attack this and put it in a chart showing my work. Thanks a bushel!: A farmer sold bushels of wheat and bushels of oats. For 425 bushels, he received $481.58. How many bushels of each did he sell, if he received $2.08 per bushel of wheat and $.94 per bushel of oats? Please help! I cannot figure out how to attack this and put it in a chart showing my work. Thanks a bushel!
Answer by scott8148(2761) (Show Source):
You can put this solution on YOUR website!let x="bushels of wheat", so 425-x="bushels of oats" __ 425 total bushels, right?
x(2.08) + (425-x)(.94) = 481.58 __ 2.08x + (425)(.94) - .94x = 481.58
1.14x + 399.50 = 481.58 __ 1.14x = 82.08 __ x = 72 (wheat)
425 - (72) = 353 (oats)
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Question 169045: Mr. Key has 50 liters of a 70% ethyl alcohol solution. How many liters of pure ethyl alcohol must be added to obtain an 80% ethyl alcohol solution? How many liters of each solution did he have? I am stumped. Please explain how I put into a chart and how I can get the answer. I appreciate your help.: Mr. Key has 50 liters of a 70% ethyl alcohol solution. How many liters of pure ethyl alcohol must be added to obtain an 80% ethyl alcohol solution? How many liters of each solution did he have? I am stumped. Please explain how I put into a chart and how I can get the answer. I appreciate your help.
Answer by Earlsdon(3748) (Show Source):
You can put this solution on YOUR website!Let x = the number of liters of pure (100%) ethyl alcohol to be added to the 50 liters of 70% ethyl alcohol solution to obtain 50+x liters of 80% ethyl alcohol solution.
Change the percentages to their decimal equivalents:
70% = 0.7
80% = 0.8
Now you can write the equation to sove for x:
50(0.7)+x = (50+x)(0.8) Simplify.
35+x = 40+0.8x Subtract 0.8x from both sides.
35+0.2x = 40 Subtract 35 from both sides.
0.2x = 5 Divide both sides by 0.2
x = 25
Mr. Key will need to add 25 liters of pure (100%) ethyl alcohol to the 50 liters of 70% alcohol solution to obtain 75 liters of 80% alcohol solution.
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Question 168962: A traffic light flashes red for 50 seconds, yellow for 5 seconds, and green for 65 seconds.
For what fraction of a 24-hour day is the traffic light yellow? Leave answer in lowest terms.
: A traffic light flashes red for 50 seconds, yellow for 5 seconds, and green for 65 seconds.
For what fraction of a 24-hour day is the traffic light yellow? Leave answer in lowest terms.
Answer by stanbon(19017) (Show Source):
You can put this solution on YOUR website!A traffic light flashes red for 50 seconds, yellow for 5 seconds, and green for 65 seconds.
For what fraction of a 24-hour day is the traffic light yellow? Leave answer in lowest terms.
------------------------
yellow/(all colors) = 5/(50+5+65) = 5/120 = 0.0416666667 = 4.2%
===================
Cheers,
Stan H.
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Question 168946: a student takes a 10 question mutiple choice quiz with 5 choices for each question, find the probility of guessing at least 7 correct out of 10: a student takes a 10 question mutiple choice quiz with 5 choices for each question, find the probility of guessing at least 7 correct out of 10
Answer by josmiceli(2035) (Show Source):
You can put this solution on YOUR website!The student has a 1/5 chance of getting any certain question right
The sudent wants to repeat this lucky guess 7 times
This is like rolling a 5-sided dice 7 times and getting the same
number each time
The probability is
That's my guess, but I'm often wrong on probability
questions, so get another opinion
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Question 168832: Problem # 1. A Macy's sweater was reduced $30. The sale price was $90. What was the original price?
Problem # 2. Tom bugdets 1/8 of his yearly salary for entertainment. Tom's total entertainment bill for the year is $6,500. What is Tom's yearly salary?
Please help with these problems. I can't figure them out since there are not three figures to work with. I can usually solve for x when there are three figures to work with, but this is throwing me off track.
Thanks,
Ethel: Problem # 1. A Macy's sweater was reduced $30. The sale price was $90. What was the original price?
Problem # 2. Tom bugdets 1/8 of his yearly salary for entertainment. Tom's total entertainment bill for the year is $6,500. What is Tom's yearly salary?
Please help with these problems. I can't figure them out since there are not three figures to work with. I can usually solve for x when there are three figures to work with, but this is throwing me off track.
Thanks,
Ethel
Answer by Mathtut(559) (Show Source):
You can put this solution on YOUR website!
problem 1:lets call the original price x
:
x-30=90--->x=$ 
problem 2: lets call yearly salary y
:
(1/8)y=6500 multipy by 8--->$  salary
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Question 168832: Problem # 1. A Macy's sweater was reduced $30. The sale price was $90. What was the original price?
Problem # 2. Tom bugdets 1/8 of his yearly salary for entertainment. Tom's total entertainment bill for the year is $6,500. What is Tom's yearly salary?
Please help with these problems. I can't figure them out since there are not three figures to work with. I can usually solve for x when there are three figures to work with, but this is throwing me off track.
Thanks,
Ethel: Problem # 1. A Macy's sweater was reduced $30. The sale price was $90. What was the original price?
Problem # 2. Tom bugdets 1/8 of his yearly salary for entertainment. Tom's total entertainment bill for the year is $6,500. What is Tom's yearly salary?
Please help with these problems. I can't figure them out since there are not three figures to work with. I can usually solve for x when there are three figures to work with, but this is throwing me off track.
Thanks,
Ethel
Answer by stanbon(19017) (Show Source):
You can put this solution on YOUR website!Problem # 1. A Macy's sweater was reduced $30. The sale price was $90. What was the original price?
Let the original price be "x".
EQUATION:
x - 30 = 90
x = 90+30
x = $120.00
================================
Problem # 2. Tom bugdets 1/8 of his yearly salary for entertainment. Tom's total entertainment bill for the year is $6,500. What is Tom's yearly salary?
Let Tom's yearly salary be "x".
EQUATION:
(1/8)x = 6500
x = 8*6500
x = $52,000.00
==================
Cheers,
Stan H.
----------------------
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Question 168819: A drum of water is 3/5 of full.when 38liters are drawn from it.it is just i/8 full.The half capacity of drum in liters is: A drum of water is 3/5 of full.when 38liters are drawn from it.it is just i/8 full.The half capacity of drum in liters is
Answer by gonzo(474) (Show Source):
You can put this solution on YOUR website!let d = drum capacity.
3/5 * d - 38 = 1/8 * d
subtract 1/8 * d from both sides of equation:
3/5 * d - 1/8 * d - 38 = 0
add 38 to both sides of equation:
3/5 * d - 1/8 * d = 38
3/5 = 24/40
1/8 = 5/40
equation becomes:
24/40 * d - 5/40*d = 38
simplify:
d*(24-5)/40 = 38
19*d/40 = 38
multiply both sides of equation by 40
19*d = 40*38
divide both sides of equation by 19
d = 40*38/19 = 40*2 = 80
-----
capacity of the drum is 80 liters.
half capacity of the drum is 40 liters.
-----
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Question 168789: Find the single-discount equivalent of a 40/30/10 seres discount. Express the discount as a percentage and as a decimal.: Find the single-discount equivalent of a 40/30/10 seres discount. Express the discount as a percentage and as a decimal.
Answer by Mathtut(559) (Show Source):
You can put this solution on YOUR website!100-40=60%
100-30=70%
100-10=90%
in decimal form these are .6,.7,and .9 respectively
let x be the original cost
multiply these together .6(.7)(.9)x=.378x  % of x is the new cost of the item.
:
In order to get the discount percentage you must
take 100% and subtract out the new cost %(37.8%)=  % or 
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Question 168791: An invoice for $8,500.00 is dated June 4; the terms are 5/15, n/30. Find the discount if the invoice is paid within nine days of the invoice date.: An invoice for $8,500.00 is dated June 4; the terms are 5/15, n/30. Find the discount if the invoice is paid within nine days of the invoice date.
Answer by Mathtut(559) (Show Source): |
Question 168790: The list price for a wintersoat ia $300.00. A series discount of 20/15/5 is being offered fo any orders above $9000.00. Find the discount and the net price of an order of 40 coats.: The list price for a wintersoat ia $300.00. A series discount of 20/15/5 is being offered fo any orders above $9000.00. Find the discount and the net price of an order of 40 coats.
Answer by Mathtut(559) (Show Source):
You can put this solution on YOUR website!list price of 300(40)=12000 which qualifies for the discount
the net price paid will be (.80)(.85)(.95)(12000)=.646(12000)=$ 
:
...............................discount amount is .354(12000)=$ 
100%-20%=80%=.8
100%-15%=85%=.85
100%-5%=95%=.95
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Question 168773: Find the complement of 35% discount rate. Express the complement as a percentage and a decimal.: Find the complement of 35% discount rate. Express the complement as a percentage and a decimal.
Answer by Mathtut(559) (Show Source): |
Question 168778: The list price of a DVD player is $300.00. Find the net price of two DVD players if a wholesaler receives a 20% discount.: The list price of a DVD player is $300.00. Find the net price of two DVD players if a wholesaler receives a 20% discount.
Answer by Mathtut(559) (Show Source):
You can put this solution on YOUR website!list price of one is 300 dollars
so list price of 2 is 600 dollars. Discount is 20% so the net price will be
80%(100-20)
:
so  the net price of 2 dvd units
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Question 168781: Find the decimal equivalent of the new price for a 40/15/5 series trade discount.: Find the decimal equivalent of the new price for a 40/15/5 series trade discount.
Answer by gonzo(474) (Show Source):
You can put this solution on YOUR website!as best i can determine, a 40/15/5 series trade discount would be calculated as follows:
let x = retail price.
x - .40*x = y = first discounted price.
y - .15*y = z = second discounted price.
z - .05*z = t = total discounted price.
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x - .4*x = (1-.4)*x = .6*x = y
y - .15*y = (1-.15)*y = .85*y = z
z - .05*z = (1-.05)*z = .95*z = t
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since z = .85*y, then .95*z = .95*.85*y
since y = .6*x, then .95*z = .95*.85*.6*x
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based on the above, then t = total discount = .95*.85*.6*x = .4845*x
40/15/5 series discount is equivalent to a total discount of 48.45%
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first discount is taken off the retail price.
second discount is taken off the first discount price.
third discount is taken off the second discount price.
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example:
retail price = $20,192.00
first discount price = .6 * $20,192.00 = $12,115.20
second discount price = .85 * $12115.20 = $10,297.92
third discount price = .95 * $10,297.92 = $9,783.02
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overall discount price = .4845 * $20,192.00 = $9,783.02
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Question 168780: The list price of a jet ski is $3,800.00 with a series discount of 20/10. Find the amount of the second trade discount.: The list price of a jet ski is $3,800.00 with a series discount of 20/10. Find the amount of the second trade discount.
Answer by Mathtut(559) (Show Source):
You can put this solution on YOUR website!3800(80%(100-20))= net cost after 1st discount=3040----->
:
The 2nd discount is taken off this net cost
:
so that would be  is the amount of the second trade discount
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Question 168775: The list price of a sewing machine is $160.00. The store is offering a 40% discount. Find the complement of te discount rate and the net price of the sewing machine.: The list price of a sewing machine is $160.00. The store is offering a 40% discount. Find the complement of te discount rate and the net price of the sewing machine.
Answer by Mathtut(559) (Show Source): |
Question 168736This question is from textbook Principals of Finance
: A company collects 60% of its sales during the month of sale, 30% one month after the same and 10% two months after the sale. Expected sales are: $10,000 in August, $12,000 in September, $30,000 in October, and $40,000 in November. How much cash is expected to be collected in October?
A)$15,000
B)$25,000
C)$35,000
D)$60,000
This question is from textbook Principals of Finance
: A company collects 60% of its sales during the month of sale, 30% one month after the same and 10% two months after the sale. Expected sales are: $10,000 in August, $12,000 in September, $30,000 in October, and $40,000 in November. How much cash is expected to be collected in October?
A)$15,000
B)$25,000
C)$35,000
D)$60,000
Answer by Mathtut(559) (Show Source): |
Question 168570: A company employs 500 people. Due to an increase in business, the company had to hire an additional 10%. What is the total number of employees needed?: A company employs 500 people. Due to an increase in business, the company had to hire an additional 10%. What is the total number of employees needed?
Answer by checkley77(3654) (Show Source): |
Question 168570: A company employs 500 people. Due to an increase in business, the company had to hire an additional 10%. What is the total number of employees needed?: A company employs 500 people. Due to an increase in business, the company had to hire an additional 10%. What is the total number of employees needed?
Answer by Mathtut(559) (Show Source): |
Question 168571: A manufacturer of furniture increased its monthly output of 500 chairs by 20%. What is the amount of increase.: A manufacturer of furniture increased its monthly output of 500 chairs by 20%. What is the amount of increase.
Answer by gonzo(474) (Show Source): |
Question 168542: 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 ahe got 300 hits in 1000 at bats. In order to have an average of .300, 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 ahe got 300 hits in 1000 at bats. In order to have an average of .300, how many hits would the batter have to get in 400 times at bat?
Answer by Mathtut(559) (Show Source): |
Question 168546: An employee who was earning $13.00 an hour, received a 5% raise. Find the increase in the employee's hourly wage.: An employee who was earning $13.00 an hour, received a 5% raise. Find the increase in the employee's hourly wage.
Answer by Mathtut(559) (Show Source): |
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