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Word Problems: Money, Business and Interest

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Question 42827This question is from textbook Algebra Structure and Method Book 1
: Jessica has 16 dimes and quarters. Whitney has twice as many dimes and 1/3 as many quarters as Jessica has. If they both have the same amount of money, what coins do each have?This question is from textbook Algebra Structure and Method Book 1

Click here to see answer by aaaaaaaa(138)

Question 42986: Helen paid 25 cents for a bag of jelly beans. After giving her brother half the beans, she ate 13. Her sister then ate one more than half the remaining beans, after which there were 3 left. How many jelly beans were in the bag before it was opened?
At this point, I don't have to worry about the 25 cents for the price of the bag of jellybeans. RIGHT?
Click here to see answer by aaaaaaaa(138)

Question 43001: Carla invested $28,000, part at 14% and part at 9%. If the total interest at the end of the year is $3,370, how much did she invest at 14%?
Click here to see answer by checkley71(8405)

Question 42992: A home purchased for $300,000 depreciated 8% over a 1-year period. What was the value of the home after at the end of the year?

Click here to see answer by checkley71(8405)

Question 42985: Karen spent all but $8.00 of her savings in three stores. In each store she spent $2.00 less than half of what she had when she went in. How much money did Karen have at the start.
I just don't know where to start
Click here to see answer by Nate(3495)

Question 43212This question is from textbook

: There are 850 Douglas fir and ponderosa pine trees in a section of forest bought by Sawz Logging Co. The company paid an average of $300 for each Douglas fir and $225 for each ponderosa pine. If the company paid $217,500 for the trees, how many of each kind did the company buy?This question is from textbook

Click here to see answer by Nate(3495)

Question 43404: The price of an item is given by p=2x^2-100
Find the polynomial that represents the revenue generated from the sale of x items.
Click here to see answer by fractalier(1804)

Question 43400: The cost in dollars of manufacturing (w) wing nuts is given by the expression 0.07w + 13.3.
Find the cost when 375 wing nuts are made. What is the average cost to manufacture one wing nut?
Click here to see answer by fractalier(1804)

Question 43428: Peter has an annual salary of $29,523.60 for his second year on the job. If this is 6.2% more than his first year salary, how much did he earn his first year?
Click here to see answer by jmg(22)

Question 43442: A school has $600 to purchase light bulbs. Light bulbs cost $1.00 and $2.00. The school purchased twice as many $1.00 light bulbs as it did $2.00 light bulbs. How many light bulbs were purchased altogether?
I know the answer is 450 (300 $1.00 bulbs and 150 $2.00 bulbs) but I can't figure the equation. I think this may involve two equations?
Click here to see answer by psbhowmick(456)

Question 43429: At the beginning of the day, the cash register contains $150. At the end of the day, it contains $1114.80. If the sales tax rate is 7.2%, how much of the total is sales tax?
Click here to see answer by checkley71(8405)

Question 43603: Ok, I've got a real big problem here and i'm thoroughly overwhelmed and confused. Can someone please help. Here's the problem:
The formula for calculating the amount of money returned for an initial deposit money into a back account or CD (Certificate of Deposit) is given by
A = P(1 + r/n)^m.
A is the amount of return
P is the principal amount initially deposited
R is the annual interest rate (expressed as a decimal)
N is the compound period
T is the number of years
Suppose you deposit $10,000 for 2 years at a rate of 10%. Calculate the return (A) if the bank compounds annual (n=1).
Answer -
Show work in space. Use ^ to indicate the power.

Calculate the return (A) if the bank compounds quarterly (n = 4), and carry all calculations to 7 significant figures.
Answer -
Show work in this space -

Calculate the return (A) if the bank compounds monthly (n=12), and carry all calculations to 7 significant figures.
Answer -
Show work in space -
Calculate the return (A) if the bank compounds daily (n=365), and carry all calculations to 7 significant figures.
Answer -
Show work in space -
What observation can you make about the increase in your return as your compounding increases more frequently?
Answer -
If a bank compounds continuously, then the formula takes a simpler, that is A = Pe^n. Where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding.
Answer -
Show work in space -
Now suppose, instead of knowing t, we know that the bank returned to us $15,000 with the bank compounding continuously. Using natural logarithms, find how long we left the money in the bank (find f).
Answer -
Show work in space -
A commonly asked question is, "How long will it take to double my money?" At 10% interest rate and continuous compounding, what is the answer?
Answer -
Show work in space -
Click here to see answer by stanbon(26249)

Question 43647: Three software applications are priced as shown. Spreadsheet and data base programs sold in equal numbers, but 15 more word processing applications were sold than the other two combined. If the three applications generated sales of $72000 how many spreadsheets were sold?
Software Price
Spreadsheet $150
Database $195
Word Proc. $210
Hi there. Now I have went through this over and over. I think the catch is that there are 15 more WP than the other two COMBINED.. but cannot wrap my head around this. I have been putting the numbers in a chart showing
amount x value = total value and have erased so much I have created a hole in my paper now! Any help would be appreciated.
Click here to see answer by Paul(988)

Question 43684This question is from textbook Beginning Algebra with Applications
: A professional athlete deposited an amount of money into a high-yield mutual fund that earns 13% annual simple interest. A second deposit, $2500 more than the first, was placed in a certificate of deposit earning 7% annual simple interest. In one year, the total interest earned on both investments was $475. How much money was invested in the mutual fund?This question is from textbook Beginning Algebra with Applications

Click here to see answer by checkley71(8405)

Question 43685This question is from textbook Beginning Algebra with Applications
: A team of cancer research specialists received a grant of $300,000 to be used for cancer research. They deposited some of the money in a 10% simple interest account and the remainder in an 8.5% annual simple interest account. How much was deposited in each account if the annual interest is $28,500?This question is from textbook Beginning Algebra with Applications

Click here to see answer by checkley71(8405)

Question 43686This question is from textbook Beginning Algebra with Applications
: To provide for retirement income, Teresa Puelo purchases a $5000 bond that earns 7.5% annual simple interest. How much money does Teresa have invested in bonds that earn 8% annual simple interest if the total annual interest earned from the two investments is $615?This question is from textbook Beginning Algebra with Applications

Click here to see answer by stanbon(26249)

Question 43682This question is from textbook Beginning Algebra with Applications
: A dentist invested a portion of $15,000 in a 7% annual simple interest account and the remainder in a 6.5% annual simple interest government bond. The two investments earn $1020 in interest annually. How much was invested in each account?This question is from textbook Beginning Algebra with Applications

Click here to see answer by checkley71(8405)

Question 43976: Anoa bought two plots of land for a total of $1200. When she sold the first plot, she made a profit of 15%. When she sold the second she lost 10%. Her totla profit was $5500. How much did she pay for each piece of land.
Click here to see answer by checkley71(8405)

Question 44108: Can someone explain this to me?
The cost in dollars of manufacturing (w) wing nuts is given by the expression 0.07w + 13.3. Find the cost when 375 wing nuts are made. What is the average cost to manufacture one wing nut?
Click here to see answer by fractalier(1804)

Question 44145This question is from textbook Begining Algebra

: Business and finance. A coffee merchant has coffe beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 pounds of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture.This question is from textbook Begining Algebra

Click here to see answer by psbhowmick(456)

Question 44145This question is from textbook Begining Algebra

Click here to see answer by adamchapman(301)

Question 44350: Solve the problem.
Ron and Kathy are ticket-sellers at their class play. Ron is selling student tickets for $1.00 each, and Kathy selling adult tickets for $6.50 each. If their total income for 34 tickets was $144.00, how many tickets did Ron sell?
Click here to see answer by checkley71(8405)

Question 44396: I need your help to solve this problem
A hotel administrator has 200 rooms available for rent each night. Experience shows that if he charges $45 per night, he will have full occupancy, but that for each $5 that he increases the price, 4 rooms become vacant. All other factors being equal, what will his maximum revenue be?
A. $16,820
B. $13,520
C. $8820
D. $12,000
E. $11,520
F. $18,000
G. none of these

Click here to see answer by stanbon(26249)

Question 44486This question is from textbook 0-07-301602-0

: When x number of units are sold, the price of each unit(in dollars) is given by p = -x/2 + 75. Find the unit price when the following quantities are sold:
2, 7, 9, 11.
This question is from textbook 0-07-301602-0

Click here to see answer by checkley71(8405)

Question 44689: Kevin earned $165 interest for 1 year on an investment of
$1500. At the same rate, what amount of interest would be earned by an investment of $2500?

Thank You!!!
Click here to see answer by tutorcecilia(2042)

Question 45143This question is from textbook Finite math
: An item costs $900, has a scrap value of $50, and a useful life of five years. The linear equation relating to book value and number of years is.
My answer is BV=-50x+900. Is this right. thanks for checking. This question is from textbook Finite math

Click here to see answer by adamchapman(301)

Question 45142This question is from textbook Finite math
: A revenue function is R(x)=28x and cost funtion is C(x)=-15x+344. The brake-even point is. Had a hard time wih this one but my answer is (8,224). Is this right. Thanks as always for cheking.This question is from textbook Finite math

Click here to see answer by stanbon(26249)

Question 45333This question is from textbook principles of accounting
: At the beginning of the year, Wilde Company assets were $220,000 and its owner's equity was $120,000. During the year, assets increased $60,000, and liabilities decreased $18,000. What is the owner's equity at the end of the year?This question is from textbook principles of accounting

Click here to see answer by mathgenius(8)

Question 45425This question is from textbook Finite math
: A company borrows $75,000 which is to be repaid with equal payments semiannual for 10 years. The interest rate is 10%. Find the semiannual payments.
After looking at the PVIFA Table I came up with $3,750.00. This question is giving me trouble also. Thanks so much for any help.This question is from textbook Finite math

Click here to see answer by stanbon(26249)

Question 45423This question is from textbook Finite math
: A sinking fund is established to obtain $75,000 in five years. The interest rate is 10% and payments are made quarterly. Find the periodic payments.
I have an answer after looking at the PVIFA table but I'm having trouble with this question. My answer is #3,750.00 but I'm not sure. Thanks for any help given.This question is from textbook Finite math

Click here to see answer by stanbon(26249)

Question 45497: I need your help with this problem
A study done for management shows that the revenue, R, in dollars, as a function of number, x, of units produced can be modeled by
R(x) = 10x - 0.001x^2
while the cost, C, in dollars, can be modeled by
C(x) = 5000 + 2x.
What will the maximum profit be, in dollars?
Click here to see answer by Fermat(127)

Question 45585: 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%.

Please show all work and the solutions for both. Thank you so much.

Click here to see answer by Nate(3495)

Question 45570: Venture Capital. Henry invested $12,000 in a new restaurant. When the restaurant was sold 2 years later, he received $27,000. Find his average annual return by solving the equation 12000(1 + r)² = 27000. Please show all work and solution. Thank you.
Click here to see answer by stanbon(26249)

Question 45636: Mardi received an inheritance of $700.00. She invested part at 9% and deposited the remainder in tax-free bonds at 10%. Her total annyal income from the investments was $6400. Find the amount invested at 9%?
Click here to see answer by checkley71(8405)

Question 45722: Frozen (quarter-pound) hamburger patties cost 5.80 for 12. How many can be purchased for $7.00? This is what I did:
5.80 divided by 12 = 48.3 meaning the patties are 48.3 cents each. Then, multipy 7.00 by 48.3 cents, which equals 33.81 (rounded 34) patties? Thank you for your time. I admire you for having a brain that can handle math.
Click here to see answer by Fermat(127)

Question 45867This question is from textbook Finite math
: $1800 is invested at 10% compounded quarterly for four years. Find the amount at the end of four years. My answer is $2520.00 is this right, thansk for checking.This question is from textbook Finite math

Click here to see answer by AnlytcPhil(958)

Question 45865This question is from textbook Finite math
: Find the interest rate for a simple interest load with P=$1420, I=$306.72, t=3 years. My answer is 7.2% is this right, thanks for checking.This question is from textbook Finite math

Click here to see answer by AnlytcPhil(958)

Question 45864This question is from textbook Finite math
: Find the amount borrowed for a load with I=$171.24,r=10.3%, t=1.25 years. My answer is $1330.00 could this be right. ThanksThis question is from textbook Finite math

Click here to see answer by AnlytcPhil(958)

Question 45862This question is from textbook Finite math
: A loan of $4600 was amde at 7% simple interest. The interest paid was $483. What was the length of the loan? My answer is 1.5 years. thanks for looking it over with me.This question is from textbook Finite math

Click here to see answer by tutorcecilia(2042)

Question 45863This question is from textbook Finite math
: A loan of $3500 was made for two years. The simple interest paid was $595. What was the interest rate? My answer is 8.50% is thiss right. thanksThis question is from textbook Finite math

Click here to see answer by tutorcecilia(2042)

Question 45861This question is from textbook Finite math
: The simple interest on $1500 for two years at 7.5% is what? My answer is $225.oo. Thanks for checking my answer..This question is from textbook Finite math

Click here to see answer by tutorcecilia(2042)

Question 46059This question is from textbook Finite math
: One printing shop charges $5 plus $0.20 per page and a second shop charges $7 plus $0.15 per pge. If ___ pages are printed, the cost is less for the first printing shop. Well I gave this one my best shop and my answer is 2100, is this right. thanks for checking.This question is from textbook Finite math

Click here to see answer by Nate(3495)

Question 46056This question is from textbook Finite math
: Find the amount of an annuity with $2500 deposityed quarterly at 8% for four years. My answer is $3,300.00 thanks for checking.This question is from textbook Finite math

Click here to see answer by Nate(3495)

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