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

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Question 451795: Annual profit in thousands of dollars is given by the function, P(x) = 5000 - (1000/(x-1)), where x is the number of items sold in thousands, x > 1.
describe the meaning of the number 5000 in the formula
describe the meaning of the number 1 in the formula
find the profit for 5 different values of x
graph the profit function over its given domain; use the 5 values calculated in part 3 to construct the graph and connect these points with a smooth curve in Excel or another graphing utility. Insert the graph in a Word file and attach the graph in a Word file to the class DB thread.
will this profit function have a maximum, if so, what is it?
what steps should the company take to prepare for your answer to part 5?
Click here to see answer by stanbon(75887)

Question 451895: you are offered two different sales jobs. Job A offers an annual salary of $30,000 plus a year end bonus of 1% of your total sales.Job B offers an annual salar salary of $24000 plus a year-end bonus of 2% of your total. how much you have to sell to earn the same amount at each job ?
Click here to see answer by josmiceli(19441)

Question 451955: Alonzo bought a sofa on sale for $123.20 . This price was 20% of the original price.
What was the original price?
Click here to see answer by pedjajov(51)

Question 452429: The Heaths are paying off two car loans. One loan charges 5% interest per year. The other loan charges 8% interest per year. They owe $2400 more on the 5% interest loan than they do on the other. Last year they paid a total of $710.20 interest. How much do they owe on each loan?
Click here to see answer by mananth(16946)

Question 452619: A restaurant charges $7 for a regular meal and $5 for a child's meal. Both prices include tax. a family of 9 people spent $53 at the restaurant. How many regular meals and how many children's meals did they pay?
Click here to see answer by Love math(28)

Question 452745: what will a deposit of 4500 if left in the bank for 5 years at 8% compounded quarterly?
Click here to see answer by rfer(16322)

Question 452745: what will a deposit of 4500 if left in the bank for 5 years at 8% compounded quarterly?
Click here to see answer by stanbon(75887)

Question 452800: the photo company in charge of prom photos was charging $5 for every couples picture, and $10 for every group picture. if the photo company earned a total of $1500 by selling 25 pictures, how many group pictures did they sell?
i know the answer is 167 because my teacher told me..but she said to figure out how she did it..im cmpletely lost. i tryed multiplying 250 by 167 but that didnt work..i tryed dividing 250 by 1500..that didnt work...
Click here to see answer by checkley79(3341)

Question 452782: a girl blends coffee for a coffee shop she needs to prepare 200 pounds of blended coffee beans, selling for $4.49 per pound. she plans to do this by blending together a high quality bean, costing $5.50 per pound and a cheaper bean at $3.25 per pound. to the nearest pound find how much high quality coffee bean and how much cheaper coffee bean she should blend
Click here to see answer by ankor@dixie-net.com(22740)

Question 453216: $1000 is invested at 5% compounded monthly. to how much money will that grow in 10 years?how much will it be if interest is compounded continously?
Click here to see answer by rfer(16322)

Question 453362: If c dollars are deposited in an account paying R% annual interest, the amount after x years is A=C(1+r)^x. Approximate the amount of the account after x years when C=$100, r=16% and x=21 yrs
I thank-you
Click here to see answer by rfer(16322)

Question 453339: if you invest money into an account that receives a steady annual interest rate of 3.5%, how many years will it take to double your investment?

Click here to see answer by robertb(5830)

Question 454223: An installer can carpet a room in 3 hrs, an assistant needs 4.5 hours. If the assistant helps for one hour and then is called away, how long will it take the installer to finish

Click here to see answer by stanbon(75887)

Question 454395: you earn $85 on an investment that pays 7% for 18 months. How much did you invest ?
Click here to see answer by stanbon(75887)

Question 454686: an investment of 800 earns 190 each year. at the same rate, how much additional money must be invested to earn a total of 475?
Click here to see answer by stanbon(75887)

Question 454825: This problem is impossible! My pivot elements are not working out correctly. I have it all messed up and now I'm lost. Can anyone help me? Thank you in advance!
An investor has at most $30,000 to invest in government bonds, mutual funds, and money market funds. The average yields for government bonds, mutual funds, and money market funds are 4%, 9%, and 11%, respectively. The investors policy require that the total amount invested in mutual and money market funds not exceed the amount invested in government bonds. How much should be invested in each type of investment in order to maximize the return? What is the maximum return in the first year?

Click here to see answer by richwmiller(17219)

Question 452474: $5000 is invested at 4.3% annual interest. How much will the investment amount to in 12?
Click here to see answer by Cabdiqafaar(9)

Question 455445: Find the equation of the circle that passes through A(-3,1) and is concentric the circle x^2+y^2-3x+4y-10=0
Click here to see answer by richwmiller(17219)

Question 455654: I need help solving this word problem. I have spent the last half an hour trying out different things and cannot get the math right. Please help.
Four hundred people attended a recent concert. Admission was $10 for each adult and $5 for each child. Ticket receipts totaled $3250. How many children and how many adults attended the concert?
All I have is:
People = 400
Adult = $10
Child = $5
Total = $3250.
Click here to see answer by rfer(16322)

Question 455806: If your credit card balance is $1150. Your periodic interest rate is 2.15% and APR is 18.75%, how many months will it take to pay off the stereo system? What is the total paid in interest?
Click here to see answer by rfer(16322)

Question 455964: If $2000 is invested at a rate of &%compounded continuously, find the balance in the account after 5 years. Use the formula A=P(e)^rt
Click here to see answer by solver91311(24713)

Question 456053: Mr. Jarvis invested a total of $10,437 in two savings accounts. One account earns 8% simple intrest per year and the other earns 9% simple intrest per year. Last year,the two investments earned a total of $849.52 in intrest. Which of the following systems of equations could be used to determine the amount Mr. Jarvis initially invested in each account? Let X represent the amount invested at 8% and ley Y represent the amount invested at 9%.
A) x+y=849.52
8x+9y=10,437
B) x+y=849.52
0.08x+0.09y=10,437
C) x+y=10,437
0.08x+0.09y=849.52
D) x+y=10,437
8x+9y=849.52

Click here to see answer by benni1013(206)

Question 455900: Greg is a star player on the basketball team.In one game,his field-goal total was 20 points,made up of 2-piont and 3-point baskets. If Greg made a total of 9 baskets, how many of each type did he make?
Click here to see answer by benni1013(206)

Question 455441: Find the equation of the circle with C(-4,2) an is the tangent to the linne 3x+4y-16=0
Click here to see answer by robertb(5830)

Question 456306: I need help with this, please help.
The Fax Corporation bought a fax machine for $700. The fax machine depreciates at a rate of $25 a month
Find a function F that can be used to determine the value of the fax machine t months after a purchase.
F(t) =
Click here to see answer by Alan3354(69443)

Question 456349: How much would $200 invested 7% interest compounded annually be worth after 5 years? roundyour answer to the neartest cent.

Click here to see answer by rfer(16322)

Question 456738: Equal amounts are invested at 5%, 7%, and 6% annual interest. If the three investments yield a total of $810 annual interest, find the total investment
Click here to see answer by richwmiller(17219)

Question 456844: Lane invested $16,000, part at 6% and part at 8%. If the total interest at the end of the year was $1,080, how much did she invest at 6%?
Click here to see answer by benni1013(206)

Question 456870: The jaspers collect nickles, dimes and quarters in a jar. When they count the change, there are twice as many nickles as there are quarters. If there is $15.30 in dimes, and $74.80 in all, how many quarters are there?
Click here to see answer by mananth(16946)

Question 456727: Sarah has $2000 more invested at 8.5% than she does at 9.75%. Both investments are simple interest rates. If the annual return from each investment is the same, how much is invested at each rate?
(I know how to calculate if given the return. However, without return I'm confused. I attempted plugging the number 2 - as both returns are the same - in on the other side of the equation but that didn't work).
Thanks.
Click here to see answer by ankor@dixie-net.com(22740)

Question 456850: Adult tickets for the game cost $4.00 each and student tickets cost $2.00 each. A total of 920 tickets worth $2,446.00 were sold. How many student tickets were sold?
Click here to see answer by mananth(16946)

Question 456950: You deposit $500 in account paying 4.5% interest compounded annually. Find the dollar value of the account rounded to the nearest penny after 10 years.
Click here to see answer by rfer(16322)

Question 456995: a student invests two sums of money, $500 and $800, at different interest rates, receiving a total of $55 in interest after one year. the $500 investment receives an interest rate 2% lower than the interest rate for the $800 investment. find the interest rate for each investment.
Click here to see answer by mananth(16946)

Question 456862: You are a star basketball player and receive the following two offers. Which one should you choose and why? There are 82 regular season games in the NBA.)(Hint: Think about the function that each situation represents.)
Option 1: A one billion dollar signing bonus and 1 million dollars per game.
Option 2: A one penny signing bonus with salary to double each game. In other words the salary for the first game is 2 pennies, the salary for the second games is 4 pennies, and so on.
Click here to see answer by htmentor(1343)

Question 457076: If you invest $5,550.00 in an account for 5 years that earns an annual rate of 6.50% compounded quarterly, what is the future value?
Click here to see answer by rfer(16322)

Question 457171: Find the simple interest on a $700 loan for 45 days at a 15% rate of interest please.
Click here to see answer by rfer(16322)

Question 457204: Money in a saving account increases at a rate of 4% per year. If the account has $22,000 in it now, how much should it have at the end of 2 years?
Click here to see answer by rfer(16322)

Question 457486: A girl bought a car for $3,300. She made a first payment for $1,200 and borrowed the remaining money from a bank at a rate of 10% per annum. At the end of one year, she paid a certain sum to the bank after which she still owned $900. Calculate the sum she repaid.
*Please answer as soon as possible.
Click here to see answer by josmiceli(19441)

Question 457483: Purchase regular .37 stamps and also pick up some .40 stamps the number of .40 stamps was 8 fewer than the regular stamps 19.90 was spent. How many of each each stamp did he buy?
Click here to see answer by josmiceli(19441)

Question 457515: The Everton College store paid $1700 for an order of 48 calculators. The store paid $8 for each scientific calculator. the others, all graphing calculators, cost the store $55 each. How many of each type of calculator was ordered?
x +y = 48
8 + 55 =1700 - now I get confused, can someone direct me?
Click here to see answer by rfer(16322)

Question 457520: I'm lost here, please, can someone help me. Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. It makes a profit of $20 on a unit of lumber and $40 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $14560?
Click here to see answer by richwmiller(17219)

Question 457695: A long distance phone call between two cities costs $9.45 for 7 minutes. What is the rate in cents per minute?
Click here to see answer by Alan3354(69443)

Question 457699: A long-distance telephone company offered a flat rate of 5 cents per minute, with a 90-cent minimum charge per completed call. Find the cost in cents per minute, for a 17-minute call.
Click here to see answer by rfer(16322)

Question 457766: A salesman earns $250 per week PLUS a 10% commission on all sales over $5000. In one week, his sales totaled $14,000. What were his earnings that week?
Click here to see answer by rfer(16322)

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