Questions on Word Problems: Money, Business and Interest answered by real tutors!

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Word Problems: Money, Business and Interest

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Question 215847: An outdoor furniture manufacturer has fixed costs of $5,000 per month and average variable costs of $7.00 per unit manufactured. The company has $70,000 available to cover the monthly costs. How many units can the company manufacture? (Fixed costs are those that occur regardless of the level of production. Variable costs depend on the level of production.)

Click here to see answer by rfer(2683)

Question 216017: If there are 500 coins in total (consisting of half-dollars, dimes and pennies), and it totals $25.00, what is the combination of coins? How many half-dollars, dimes and pennies? Show the algebra.
Click here to see answer by ankor@dixie-net.com(6684)

Question 216279: If Ben invests $4000 at 4% interest per year, how much additional money must he invest at 5.5% annual interest to ensure that the interest he receive each year is 4.5 of the total amount invested?
Click here to see answer by checkley77(7032)

Question 216424: Jim is able to sell a hand-craved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?
I know it was a 135% make up
thats like 670x 135 or 670/1.35 or something
but I need to know how to work out the formula. I need to know how to set it up.
Thank you

Click here to see answer by jim_thompson5910(13785)

Question 216656: Sam Yates invested $15000 in an account that pays 10% simple interst. How much additional money must be invested in an account that pays 13% simple interest so that the average return on the two investments amounts to 11%.
Click here to see answer by ankor@dixie-net.com(6684)

Question 216746: Movie tickets cost $4.00 for a child and $7.00 for adults. they collected $720.00 by selling 120 ticekets. how many adult tickets were sold?
Click here to see answer by drj(1380)

Question 217002: Find the accumulated amount A if the principal P is invested at the interest rate of r/year for t yr. (Round your answer to the nearest cent.)
P = $52,000, r = 7.2%, t = 10.5, compounded quarterly
Click here to see answer by rfer(2683)

Question 217001: Find the accumulated amount A if the principal P is invested at the interest rate of r/year for t yr. (Round your answer to the nearest cent.)
Click here to see answer by rfer(2683)

Question 217227: Amount of an investment. The amount of an investment of P dollars for t years at simple interest rate r is given by A=P + Prt.
a) rewrite this formula by factoring out the greatest common factor on the right hand side.
b) Find A if $8300 is invested for 3 years at a simple interest rate of 15%.
Click here to see answer by rfer(2683)

Question 217237: If $4000 is deposited into an account paying 3% interest compounded annually and at the same time $2000 is deposited into an account paying 5% interest compounded annually, after how long will the two accounts have the same balance?
Me and my friend are working on this problem together and this is what we have so far:
we used the equation A(t)= A (1+r)^t
we thought we had to set the equations equal to each other so...
4000(1.03)^t = 2000(1.05)^t
we tried to take the ln of both sides but ended up getting stuck. Can you please help us finish this problem? Thanks in advance! =)
Click here to see answer by rfer(2683)

Question 217391: If I invest $9,000 today how much will I have in 25 years at 14% compounded semiannually? The compounded semiannually is what I do not understand how to do.
Click here to see answer by checkley77(7032)

Question 217438: Write an algebraic equation for the following:
1.Donna has c dimes and t quarters in her bank. How much money in cents does she have?
2.If a gallons of gas cost m dollars, what is the price per gallon?
3.If c represents an odd number, what is the next larger odd number?
4.Willie is y years old, and his father is 4 years less than four times Willie's age. What is the sum of their ages?
Click here to see answer by Theo(667)

Question 217380: Mary Auburn makes three investm,ents. The investment that pays 12% is twice the amount of the account that pays 9%. The amount inveted at 10% is $500 more than the amount invested at 9%. If the annual interest income is $1555, how much money is invested at each rate?
Please help!!
Thank you!!
Click here to see answer by ankor@dixie-net.com(6684)

Question 217443: Write an algebraic equation:
1.The perimeter of a rectangle is x yards and t feet. What is the perimeter in inches?
2.The width of a rectangle is w feet, and its length is 7 feet more than five times its width. What is the perimeter of the rectangle in feet?
Please help me i need to pass my classes.
thanks.
Click here to see answer by ankor@dixie-net.com(6684)

Question 217644: Tom invests $18,750 in two seperate accounts. One earns 10% simple interest and the other 12%. If he earned a total of $2117, how much did he invest at 10%?
Thanks!
Click here to see answer by rfer(2683)

Question 217652: The business manager for the L & L Manufacturing Company makes two investments totaling $152,000. One investment pays 15% and the other investment pays 21%. If the total six-month interest income is $13,350, how much is invested at each rate?
Thanks for your help!!!
Click here to see answer by rfer(2683)

Question 217638: Please help...
One number is 8 less than another number. The sum of four times the larger and twice the smaller is 20. Find the larger number.
I got the second equation as 4n+8(2)=20 with n=1 but I don't know how to use that to find the answer.

Click here to see answer by RAY100(1637)

Question 217776: How much money should be deposited today in an account that earns 5% compounded semiannually so that it will accumulate to $8000 in 11 years?
Click here to see answer by rfer(2683)

Question 217994: the selling price of a television set is 360. the profit is %20 of the cost. find the cost of the television set
Click here to see answer by stanbon(26249)

Question 217994: the selling price of a television set is 360. the profit is %20 of the cost. find the cost of the television set
Click here to see answer by rfer(2683)

Question 218020: a college student invested 5000.00 total in 2 seperate accounts. He invested half into a mutual account and the rest into a stock that yielded four times as much interest. After one year he earned a total of 250.00 in interest. What was the interest rates of the mutual fund and stock account?
Click here to see answer by rfer(2683)

Question 218075: I've been having problems with this particular problem:
A person won a state lottery prize of $20,000, from which 25% was deducted for taxes. The remainder was invested, partly for a 40% gain and a 10% loss. How much was each investment if there as a $2000 net investment gain?

I thought that you set up the problem as an equation x being the unknown amount but I got stumped on whether or not to use the pre or post taxed amount.
Click here to see answer by stanbon(26249)

Question 218101: Celia bought 12 apples, ate two of them, and sold the rest at .20 more per apple than she paid. Her total profit was $1.00. How much did she sell each apple for?
Click here to see answer by stanbon(26249)

Question 218111: I can not figure out how to set this problem up. I have tried to solve it multiple times. Here is the question:
How can $4,000.00 be invested, part at 6% and the remainder at 10% so that the two investments will produce the same interest?
Thank you for your help.
Mandy
Click here to see answer by rfer(2683)

Question 218115: Eleanor claims: "It is possible for 46 pennies and nickels to have a total value of a dollar." Is she right or wrong? Give a convincing argument to justify your answer.
Click here to see answer by RAY100(1637)

Question 218221: part of $20000 is to be invested at 9% and the remainder is to be invested at 12%. What is the least amount of money that can be invested at 12% in order to have a yearly income of at least $2250 from the two investments?
Click here to see answer by stanbon(26249)

Question 218358: $40 at 4% (compounded daily) how long will it take for me to have $50?
Click here to see answer by jim_thompson5910(13785)

Question 218358: $40 at 4% (compounded daily) how long will it take for me to have $50?
Click here to see answer by stanbon(26249)

Question 218392: solve for y: Ax+By=C
Click here to see answer by drj(1380)

Question 218482: 6. How long would you have to invest $8000 at 2% simple interest to earn $2400 in interest?
Click here to see answer by rfer(2683)

Question 218391: A man deposited $5000 in a bank paying 6% simple interest. How many years will it take to earn $6000 in interest? Use I=Prt

Click here to see answer by rfer(2683)

Question 218815: Two girls each want to buy bikes. Mary's money is short by 73 dollars, and Jane is short by 56 dollars. But combine the money and they can by the bike. What is the cost of the bike.
Click here to see answer by rapaljer(3610)

Question 219040: 1. How many ways can you make change for $50 bill using $5, $10 and $20 bills?
2. A compass and ruler together cost $4. The compass costs 90cents more than the ruler. How much does the compass cost?
Click here to see answer by checkley77(7032)

Question 219145: Cynthia invested 3 times as much money at 6% as at 5%. If the total of the simple interest for 1 year is at least 1150 dollars, what is the least possible amount Cynthia has invested at 5%??????????????????????????????
Click here to see answer by checkley77(7032)

Question 219103: 2/5x+1=1/3+x
Click here to see answer by checkley77(7032)

Question 219496: How long does it take your money in your savings account to double at 8% interest rate using the formula A=Pe^rt ?
Click here to see answer by solver91311(5069)

Question 219496: How long does it take your money in your savings account to double at 8% interest rate using the formula A=Pe^rt ?
Click here to see answer by jim_thompson5910(13785)

Question 219496: How long does it take your money in your savings account to double at 8% interest rate using the formula A=Pe^rt ?
Click here to see answer by josmiceli(3003)

Question 219513: Peter borrowed $12,000, which he paid back after 4 years at a simple interest rate of 8%. Find the total amount that Peter paid back.
Click here to see answer by jim_thompson5910(13785)

Question 219534: I=Prt P=740, R=6% T=1year whats the answere
Click here to see answer by jim_thompson5910(13785)

Question 219653: A man invested $6000, part of it at 5% simple interest and the rest at 7% simple interest. If his annual interest income is $372, how much did he invest at each rate?
Click here to see answer by checkley77(7032)

Question 219659: A man invested $6000, part of it at 5% simple interest and the rest at 7% simple interest. If his annual interest income is $372, how much did he invest at each rate?
Click here to see answer by checkley77(7032)

Question 219989: "a wallet contains $5 bills and $10 bills. There are 15 bills in the wallet with a total value of $120. find the number of $5 bills and $10 bills" Im having trouble figuring this problem out can u show me how to set it up and solve?
Click here to see answer by stanbon(26249)

Question 220057: marsha invested part of 18,000.00 at 16% and the remainder at 20%. Her total income from these two investments was $3120.00 how much was invested?
Click here to see answer by rfer(2683)

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