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

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Question 57979: 96. Venture Capital. Henry invested $12,000 in a new restaurant. When the restraint was sold two years later, he received $27,000. Find the average annual return by solving the equation 12,000(1 + r)^2 = 27,000.
Click here to see answer by hayek(51)

Question 57997: A furniture store is offering a 35% discount on the price of a discontinued sofa. If the discounted price of the sofa is $637, find the regular price. Show equations and all work. Please help me thank you!
Click here to see answer by rcmcc(152)

Question 58109: To meet the governments specifications, an alloy must be 65% aluminum. How many pounds each of a 70% aluminum alloy and a 54% aluminum alloy will be needed to produce 640 pounds of the 65% aluminum alloy?
Any help with this one is appreciated!

Click here to see answer by hayek(51)

Question 58155: Marsha has money in two savings accounts. One rate is 8% and the other is 10%. If she has $200 more in the 10% account, how much is invested at 8% if the total interest is $101?
Need a little help with this problem, Thank you!

Click here to see answer by checkley71(8403)

Question 58194: Amount of investment. The amount of an investment of p dollars for 1 years interest rate r is given by a=p + prt
can anyone please help?? Thank you
Click here to see answer by rcmcc(152)

Question 58106: Judy invests a certain amount of money at 7% annual interest and three times that amount at 8%. If her annual income is $232.50, how much does she have invested at each rate?
Thank you for your time!

Click here to see answer by checkley71(8403)

Question 58275: Seventy children and 160 adults attended a movie theatre. The total reciepts were $620. One adult ticket and two children tickets cost 7$ Find the price of each type of ticket.
Thanks for your help!
Click here to see answer by faceoff57(82)

Question 58319: Michael's Coffee Shop sells a special blend called Mike's Favorite. For the blend, Michael mixes Hazelnut Coffee, which sells for $7.50 per pound, with Cinnamon Coffee, which sells for $6.75 per pound. How much of each flavor must he use to create 10 pounds of Mike's Favorite blend if he sells it for $7.00?
Click here to see answer by Nate(3500)

Question 58269: (94) Demand for pools. Tropical Pool sells an aboveground model for p dollars each. The monthly revenue from the sale of this model is given by
R = -0.08p^2 + 300p. Revenue is the product of the price p and the demand (quantity sold).
a) Factor out the price on the right-hand side of the formula.
b) What is an expression for the monthly demand?
c) What is the monthly demand for this pool when the price is $3000?
d) Use the graph to estimate the price at which the revenue is maximized. Approximately how many pools will be sold at this price?
e) What is the approximate maximum revenue?

Click here to see answer by stanbon(57290)

Question 58582: Gary and Adam equally own 2 properties. 1 is valued at $340000 and the other at $420000. Gary is taking the propery valued at $340000. Adam is taking the property valued at $420000. How much money would Adam owe Gary? Is it $40000 or $80000 and how do you arrive at the correct amount?
Click here to see answer by checkley71(8403)

Question 58656: Henry investe $12,000 is a new restuarant. When the restaurant was sold two years later, he receive $27,000. Find his average annual return by solving 12,000(1+r) = $27,000
Click here to see answer by funmath(2925)

Question 59082: Assuming a continous inflation rate of 3.680% how much did a $200 item today cost 11 years ago?
If inflation continues but at a continuous rate of 2.910% how much will a $200 item cost 5 years from now?
Click here to see answer by rcmcc(152)

Question 59124: Bob paid 3 less than Tim for his lunch at a local pizza parlor. Together they spent $7.80. How much did Bob spend for his lunch?
a. $2.40
b. $4.50
c. $4.80
d. $5.40
e. $8.40

Click here to see answer by funmath(2925)

Question 59081: A) Determine the seventh term of the following geometric sequence?
5 10 20
Write the answer as a single integer value, not an expression.
B) Determine the effective rate for each of the following nominal rates. Express the final answer as percent rounded to 2 decimal places:
1. nominal rate is 3.16% compounded annually

2. nominal rate is 2.99% compounded annually

3. nominal rate is 6.04% compounded quarterly
Click here to see answer by stanbon(57290)

Question 59220: The electricity costs of a business decreased from $12,000 one year to $10,920 the next. What is the rate of decrease?
Click here to see answer by funmath(2925)

Question 59218: Ms. Jordan has been given a loan of $2500 for 1 year. If the interest charged is $275, what is the interest rate on the loan?
Click here to see answer by funmath(2925)

Question 59265: Bruce Blossom invested a sum of money at 10% annual simple interest and invested twice that amount at 12% annual simple interest. If his total yearly income from both investments was $2890,how much was invested at each rate?
Click here to see answer by josmiceli(9669)

Question 59261: Karen Waugtat investedsome money at 9% annual simple interest and $250 more than that amount at 10% annual interest.If her total yearly interest is $101,how much was invested in each rate.
Click here to see answer by checkley71(8403)

Question 59411: A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and 21 more quarters than dimes. How many of coins of each did she return?

Click here to see answer by funmath(2925)

Question 59428: Ms. Jordan has been given a loan of $2500 for 1 year. If the interest charged is $275, what is the interest rate on the loan?
Click here to see answer by uma(370)

Question 59428: Ms. Jordan has been given a loan of $2500 for 1 year. If the interest charged is $275, what is the interest rate on the loan?
Click here to see answer by funmath(2925)

Question 59541: A cell phone company charges $34.99 a month for phone service. They also charge $0.48 per minute for long distance calls. If Vanesa's bill at the end of the month is $64.75, how many minutes of long distance calls did she make?
Click here to see answer by josmiceli(9669)

Question 59543: Please tell me if I am doing this problem correct This is what I have If the inventor charges 4 dollars per unit the profit for producing and selling x units is given by the function. What is the profit for selling 2000 units and 5000 units and what is the break even point for sales. I used p(x)=2.25x-7000 and 2.25 (50000-7000 and then I divided 7000 by 2.25 to get the break even sales Am I correct? . please show me if this is wrong. Thank you
Click here to see answer by stanbon(57290)

Question 59590: Could someone help me solve this problem?
Lane invested $14,000, part at 15% and part at 2%. If the total interest at the end of the year is $1,060, how much did she invest at 15%?

(A) $8,000 (B) $7,000 (C) $6,000 (D) $5,000
Thank you so much,
Lyn
Click here to see answer by funmath(2925)

Question 59639: Find assets and liability, when liability is 2/5 of assets and owner's equity is $95,000. Formula: Assets = Liability + Owner's Equity
Click here to see answer by funmath(2925)

Question 59758: PLEASE HELP ME WITH THIS. THE QUESTION IS "A PERSON HAS 20 COINS IN NICKELS AND DIMES WITH A COMBINED VALUE OF $1.60. DETERMINE THE NUMBER OF COINS AND WHAT TYPE." WHAT FORMULA DO I USE TO SOLVE?
Click here to see answer by checkley71(8403)

Question 59909: Clara earned $360 in simple interest on a 12-month bank certificate of deposit. If the interest rate had been 3% higher, she would have earned the same amount of money by depositing $1,000 less. How much money did Clara deposit, and what was her interest rate?
Click here to see answer by stanbon(57290)

Question 59945: A rental car costs $25 plus afixed charge per mile driven. The total chrge for 210 miles of use was $89. Write an equation for the cost,C(in dollars), in terms of the mile driven x.
Click here to see answer by tutorcecilia(2152)

Question 59944: A rental car costs $25 plus afixed charge per mile driven. The total chrge for 210 miles of use was $89. Write an equation for the cost,C(in dollars), in terms of the mile driven x.
Click here to see answer by uma(370)

Question 60022: The Creatice Arts Fund must raise $2500 next year by investing $30,000 in federal notes peying 9% and in municipal bonds paying 8%. The treasurer wants to inveset as much as possible in the bonds, even though they pay less, because the bonds are for projects in the local area. How much should the treasurer invest in bonds?
Click here to see answer by uma(370)

Question 60023: Jesse invested $2000 more in stocks than in bonds. The bonds paid 7.2% interest and the stocks paid 6%. The income from each investment was the same. How much interest did he recieve in all?
Click here to see answer by uma(370)

Question 60304: To Whomever can assist, thank you!
If a box of candy costs a retailer $2.50, and he wants to make a profit of 50% based on the selling price, what price should he charge for the candy?
Click here to see answer by checkley71(8403)

Question 60372: Hello,
Do I need to rearange this type problem to solve?
Please advise....
Thanks.
Q 19: A company uses the cost function C (w) = 0.04 w^2 – 6.0 w + 275 to model the unit cost in dollars for producing ‘w’ widgets. Find:
a. How many widgets the company needs to make to achieve minimum unit cost?
b. What is the minimum unit cost?
Click here to see answer by josmiceli(9669)

Question 60638: can you please help me whith this problem
64. Minimizing cost. A company uses the formula C(x) = 0.02x^2 – 3.4x + 150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars id the unit cost at its minimum? What is the unit cost at level of production?

Click here to see answer by uma(370)

Question 60655: I am having trouble setting these kinds of problems up please show me.
Sally bought three suckers and a bubble gum for $1.75 Jack bought two suckersand four bubble gums for $2.00 what is the cost of each sucker and bubble gum? THANK YOU IF YOU CAN EXLPAIN THIS WHERE ICAN UNDERSTAND IT.
Click here to see answer by uma(370)

Question 60585: The total profit (in dollars) for sales of x typewriters is given by P(x)=(-0.2^2 + 300x - 200. What is the profit if 500 are sold, and for what value of x will the profit by maximum?
Click here to see answer by checkley71(8403)

Question 60948: I seem to have trouble when I am setting up for two unknowns. Can anyone help?
Six cans of soda and two candy bars cost $5.12. At the same prices, 8 cans of soda and 5 candy bars cost $9.86. Find the price per can of soda and price per candy bar.
Thanks for your efforts.
Click here to see answer by checkley71(8403)

Question 61101: Anna has 12 bills some $5.00 and 10.00 the total value is $100.00 how many of each bill does Anna have?
Click here to see answer by tutorcecilia(2152)

Question 61267: Boomtown's population of 350,000 increases by 15,000 per year, and Ghostville's population of 200,000 decreases by 10,000 per year. In how many years will Boomtown's population be five times that of Ghostville?
Click here to see answer by joyofmath(189)

Question 61324: I want help solving this problem $5000.00 WAS PUT IN A SAVING ACCOUNT FOR 4 YEARS THE AMOUNT OF INTEREST EARNED WAS $400.00 WHAT IS THE INTEREST RATE?
Click here to see answer by joyofmath(189)

Question 61329: A cash register had 5 times as many quarters as nickels, two fewer dimes than nickels, and 30 pennies. All together, the cash register contains $8.50 in change. How many nickles are in the cash register?
Click here to see answer by ptaylor(2048)

Question 61529: The amount of money that a salesperson makes varies directly as the total amount of sales made. If the salesperson $7,500 for selling a house for $120,000, how much will he or she make if he or she sells a house for $150,000?
Use direct variation to solve problem
Click here to see answer by tutorcecilia(2152)

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