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

Tutors Answer Your Questions about Money Word Problems (FREE)

Question 27727: If I use this formula a=p(1+i/n)nt
How do i caluclate the amount of money that will be in my account after 10 years if I invest $2500 at 4.8% compounded quarterly.
p=2500
i= 4.8%
n= compounded quarterly (4times a year)
t=10 years
a=2500(1+0.048/4^10 please let me know if this is correct
Thanks
Click here to see answer by Paul(988)

Question 27891: 56. Number problems. Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin does she have?
Click here to see answer by AnlytcPhil(1806)

Question 27878: Please help. I am terrible at setting up word problems.
A small company produces both standard and deluxe playhouses. The standard playhouses take 12 hours of labor to produce, and the deluxe playhouses take 20 hours. The labor available is limited to 800 hours per week, and the total production capacity is 50 items per week. Existing orders require the company to produce at least 10 standard playhouses and 15 deluxe playhouses per week. Write a system of inequalities representing this situation, where x is the number of standard playhouses and y is the number of deluxe playhouses. Then graph the system of inequalities.
Click here to see answer by bmauger(101)

Question 27892: 60. Business and finance. A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?
Click here to see answer by Paul(988)

Question 28285: Melanie invested $5000 for 18 months, part at a rate of 12% annual interest and the rest at a rate of 9% annual interest. The interest from the investment at 12% was $348.75 more than the interest from the investment at 9%. How much money did she invest at each rate? (Interest formula: Interest=principal x rate x time [expressed in years]) All steps in the solution must be shown and each step must be accompanied by a verbal/written explanation to justify your work and/or explain your reasoning.
No idea where to start let alone write an explanation.
Click here to see answer by josmiceli(19441)

Question 28376: Mr. C can invest one sum of money at 7% and a second sum @ 10% and get $640 per year. If he invests his first sum at 10% and the second @ 7% he will make $550 per year. How much is he going to invest in the separate accounts?
Click here to see answer by josmiceli(19441)

Question 28514: hi i always had problems with math. we have this project and i really cant solve this problem, can you help me?
A man bought some tools for a total amount of $50,000. if he had bought 50 more tools, it would have cost him $20 less per price. how many tools did he buy?
Click here to see answer by askmemath(368)

Question 28475: The camera Melissa wanted for her birthday is on sale at 28% off the usual price. The amount of the discount is $100.80. What was the original price of the cameral?
Click here to see answer by wuwei96815(245)

Question 27879: Please help.. I can not set this up... nothing I do comes out right...
I tried:
12hours-standard =x
20hours-deluxe=y
=800
50 items a week - where does this come in???
so then I thought
x+yless than or equals $800
12x+20y less than or equals $800
nope - doesn't work out.
A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities.
Click here to see answer by Lal(16)

Question 28797: shirley invested some money in an account that paid 9% interest and $250 more than that amount at 10% interest. if her total interest was $101, how much was invested at each rate?
Click here to see answer by josmiceli(19441)

Question 29103: What equation can I use for the following: Melissa has 5 times as much money as Manuel. They have $60.00 together?
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29105: How do I write an equation for this: The cost of 8 CD's plus a sales tax of $1.34 is $105.26?
Click here to see answer by wuwei96815(245)

Question 29140: Adult tickets for a play cost $15 and child tickets cost $1. If there were 29 people at a performance and the theater collected $155 from ticket sales, how many adults and how many children attended the play?
Click here to see answer by checkley72(6)

Question 29021: Adult tickets for a play cost $15 and child tickets cost $1. If there were 29 people at a performance and the theater collected $155 from ticket sales, how many adults and how many children attended the play?
Click here to see answer by Nate(3500)

Question 29398: PABLO IS DRIVING 40 MILES PER HOUR.After he has driven 30 miles, his brother Rick starts driving in the same direction.At what rate must Rick drive to catch up with pablo?
Click here to see answer by Nate(3500)

Question 29402: The nut store sells walnuts for 4.00 a pound and cashews for 7.00 a pound how many pounds of cashews should be mixed with 10 pounds of walnuts to obtain a mixture that sells for 5.50 a pound?
Click here to see answer by venugopalramana(3286)

Question 29404: A real estate agent agrees to sell a large apartment complex according to the following commission schedule: $23,000 plus 25% of the selling price in excess of $900,000. Assuming that the complex will sell at some price between $900,000 and $1,100,000, inclusive, over what range does the agent's commission vary? How does the commission vary as a percent of selling price?
Click here to see answer by josmiceli(19441)

Question 29706: My son couldn't get these homework problem (even using text) and teacher didn't have time to review in class. QUESTION A librarian bought 10 library books for a total of $138.62; how many at $12.95 and how many at $15.99? This was a "real life problem" in a 7th grade unit on decimals and percents. ALSO, QUESTION Play tickets were $6 per adult and $4 per child. If $960 total sales were for 180 tickets, how many were adult?
Click here to see answer by askmemath(368)

Question 29586: There are two types of pumpkins, large ones that sell for $9 and small ones that sell for $4. A total of 80 pumpkins were sold that totaled $395. How many of each were sold?
I figured I would begin 9a + 4b = 395, then that would equate to 9a = 395 - 4b. However, I don't know what to do next. Please help.
Thanks. Matt
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29851: If the demand d and the supply s for snowboards are d=360/p and s=150p-510 find the profit p, in hundreds of thousands of dollars, at the equilibrium point when supply and demand equal.
thanks for the help
Click here to see answer by ikdeep(226)

Question 29575: Please help me with this word problem!
Peter has 40 pumpkins to sell. He will sell them all if he sets his price at $1.00 each,but will sell one less pumpkin for each 5 cents increase in price. What price should he charge in order to maximize his earnings? (Show algebraically)
Click here to see answer by Yoan(9)

Question 29863: The manager of a new company predicted that the company would lose $2250 its first month, $1950 its second month, and so on. She furter redicted that this trend would continue and that the business would continue to impove by $300 each month.
a) Identify the quadriatic equation in standard form that describes the net financial position as a function of months.
b) In which month would the net finanicial position first become positive?
Click here to see answer by Nate(3500)

Question 30091: how much water must be evaporated from a 300 L tank of a 2% salt solution to obtain a 5% solution?
Click here to see answer by Paul(988)

Question 30092: Pam jogged up a hill at 6 km/h and then jogged back down at 10 km/h. How many kilometers did she travel in all if her total jogging time was 1 hour and 20 minutes?
Click here to see answer by Paul(988)

Question 30097: When ace airlines changed to planes that flew 100 km/h faster than its old ones, the time of its 2800 km Dallas-Seattle flight was reduced by 30 minutes. Find the speed of the new planes

Let the speed be x (orignal)
increased speed = x+100
30 minutes =0.5hours
Equation:

a=0.5, b=50, c=-280000
Simplfy and you get two solutions:
x=-800 and x=700
Remove the negavtive
x=700
700+100=800

Hence, the speed of the new planes is 800km/h
.
Click here to see answer by Paul(988)

Question 30093: Lina Chen invested $24,000, part at 8% and the rest at 7.2%. How much did she invest at each rate if her income from the 8% investment is two thirds of the 7.2% investment?
Click here to see answer by josmiceli(19441)

Question 30194: a father loaned his daughter 12,200 at a 2% annual simple interest rate for a down payment on a house. if the intrest on the loan amounted to 610.00 for how long was the loan
Click here to see answer by ikdeep(226)

Question 30114: Lian Chen invested $24,000, part at 8% and the rest at 7.2%. How much did she invest at each rate if her income from the 8% investment is two thirds that of the 7.2% investment?
Click here to see answer by checkley71(8403)

Question 30223: TERRI'S WEEKLY INCOME IS A $100 DOLLARS LESS THAN DOULBE GARY'S WEEKLY IONCOME. IF TERRI MAKE'S $448 A WEEK, WHAT DOES GARY MAKE?

AND I HAVE A NOTHER QUESTION
PAUL MAKES $25 A WEEK LEES THAN THE SUM OF WHAT AVERY AND CASEY MAKES TOGETHER MAKE. CASEY'S WEEKLY INCOME WOULD BE TRIPLE STEVE'S IF CASEY MAKES $50 MORE A WEEK. PAUL MAKES $342 A WEEK. HOW MUCH D OES AVERY MAKE?
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30222: TERRI'S WEEKLY INCOME IS A $100 DOLLARS LESS THAN DOULBE GARY'S WEEKLY IONCOME. IF TERRI MAKE'S $448 A WEEK, WHAT DOES GARY MAKE?

AND I HAVE A NOTHER QUESTION
PAUL MAKES $25 A WEEK LEES THAN THE SUM OF WHAT AVERY AND CASEY MAKES TOGETHER MAKE. CASEY'S WEEKLY INCOME WOULD BE TRIPLE STEVE'S IF CASEY MAKES $50 MORE A WEEK. PAUL MAKES $342 A WEEK. HOW MUCH D OES AVERY MAKE?
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30257: Please help me solve this question:
Rose Bowl Florists buys and sells roses by the complete dozen. The owner buys 12 dozen fresh roses daily for $ 117.00
He knows that 10% of the roses will wilt before they can be sold.
What price per dozen must Rose Bowl Florists charge for its saleable roses to realize a 55% markup based on selling price?
Thank you.
Click here to see answer by checkley71(8403)

Question 30531: Remember Little Johnny? He now has two investments that produce a $150 income each month. If $1,000 more is invested at 9% than at 10%, how much was invested at each percent?

Click here to see answer by mathtech5(4)

Question 30712: Please help me put this into an equation. A man has $.70 in dimes and nickels. He has 8 coins together. How many nickels does he have? I know the answer is 2 by trial and error but I don't know the equation.
Click here to see answer by Paul(988)

Question 29396: Rochelle has 2.55 in dimes and quarters. She has eight5 more dimes than quarters.How many quarters does she have?
Click here to see answer by checkley71(8403)

Question 30718: Can you please help me with this one? ** A restaurant has fixed costs of $137.50 per day and an average unit cost of $4.75 for each meal served. If a typical meal costs $6.00, how many customers must eat at the restaurant each day for the owner to make a profit?
Click here to see answer by Nate(3500)

Question 30720: Please help me!!! A jazz group on tour has been drawing average crowds of 500 persons. It is projected that for every $1 increase in the $12 ticket price, the average attendance will decrease by 50. At what ticket price will the nightly receipts be $5600?
Click here to see answer by Paul(988)

Question 30813: An office supply store sells seven tablets and 4 pens for $6.40. Also, two tablets and 19 pens cost $5.40. Find the price of each.
Click here to see answer by Paul(988)

Question 30848: Can you please help me? I think it's a linear equation. Also, it would help if you put step by step explanations. Thanks so much!!! *A restaurant has fixed costs of $137.50 per day and an average unit cost of $4.75 for each meal served. If a typical meal costs $6.00, how many customers must eat at the restaurant each day for the owner to make a profit?
Click here to see answer by josmiceli(19441)

Question 30919:
Click here to see answer by mathwiz07(3)

Question 30976: Joe has $40,000 to invest. He invests part of it at 5%, one-fourth of this amount at 6%, and the rest of the money at 7%. His total annual interest income is $2,530. Find the amount invested at each rate.
Click here to see answer by blubunny01(20)

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