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

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Question 81319: In planning for a new item, a manufacturer assumes that the numer of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.
Click here to see answer by jim_thompson5910(28598)

Question 81523: Find the total savings if 300 is compounded continuously for: 3 years at 6%
Click here to see answer by mathdoc316(9)

Question 81618: In 1944 a stamp for first-class postage cost 3 cents. By the end of 2001, the cost of first-class postage will increase 35 cents. Assuming that the average annual rate of inflation was 5% for the period, is 35 cents a reasonable price in 2001? If not, what should the price be?
Could anyone please explain this to me? Thanks.
Click here to see answer by stanbon(57415)

Question 81460: How much must you deposit in an account that pays 6% annual interest compounded yearly to have a balance of $ 1000 after 10 years
Click here to see answer by bucky(2189)

Question 81633: help please
Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the cost of a pack of gum.
Click here to see answer by weepingwillowcats(10)

Question 81743: Bob invested $21,000, part at 20% and part at 17%. If the total interest at the end of the year is $3,780, how much did he invest at 20%?
Click here to see answer by bucky(2189)

Question 81741: Bob invested $21,000, part at 20% and part at 17%. If the total interest at the end of the year is $3,780, how much did he invest at 20%?

Click here to see answer by bucky(2189)

Question 81736: Bob invested $21,000, part at 20% and part at 17%. If the total interest at the end of the year is $3,780, how much did he invest at 20%?

Click here to see answer by bucky(2189)

Question 81716: Bob invested $21,000, part at 20% and part at 17%. If the total interest at the end of the year is $3,780, how much did he invest at 20%?
Click here to see answer by bucky(2189)

Question 81915: Jamil always throws loose change into a pencil holder on his desk and takes it out every two weeks. This time it is all nickels and dimes. There are 9 times as many dimes as nickels, and the value of the dimes is $5.10 more than the value of the nickels. How many nickels and dimes does Jamil have?
Click here to see answer by stanbon(57415)

Question 82013: Mike, a salvation army bell ringer, has 5 fewer quarters than nickels in his cup. If Mike has $5.95 in quarters and nickels, how many nickels does he have?
I need help extracting the algebraic equation from this story problem.
Click here to see answer by ptaylor(2048)

Question 82191: If the regular price is $83 and the sale price is $78.85 what is the discount rate

Click here to see answer by stanbon(57415)

Question 82191: If the regular price is $83 and the sale price is $78.85 what is the discount rate

Click here to see answer by scott8148(6628)

Question 82477: A pair of jeans is on sale for $39.20, which is 30% off the original price. Find the original price of the jeans.
Click here to see answer by checkley75(3666)

Question 82580: Lane invested $22,000 part at 8% and part at 7%. If the actual interest at the end of the year is $1710. How much did she invest at 8%?
(a)$18,000
(b)$16,000
(c)$5,000
(d)$17,000
Click here to see answer by ptaylor(2048)

Question 82622: If a piece of real estate purchased for $50,000 in 1998 appreciates at the rate of 5% per year, then its value (t) years after the purchase will be f(t)=50,000(1.05^t). According to this model, by how much will the value of this piece of property increase between the years 2007 and 2008?
Click here to see answer by Fermat(127)

Question 82665: A person invested $6,700 for one year, part at 8%, part at 10% and the remainder at 12%. The total annual income from these investments was $716. The amount of money invested at 12% was $300 more than the amount invested at 8% and 10% combined. Find the amount invested at each rate.
Click here to see answer by stanbon(57415)

Question 82777: Adult tickets for a play cost $17 and child tickets cost $2. If there were 32 people at the performance and the theater collected $364 from ticket sales, how many adults and how many children attended the play?
Click here to see answer by checkley75(3666)

Question 83218: Business and Finance: 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 checkley75(3666)

Question 83315: The formula for calculating the amount of money returned for an initial deposit money into a bank account or CD (Certificate of Deposit) is given by

A is the amount of returned.
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.
Carry all calculations to 6 decimals on all assignments then round the answer to the nearest cent.
Suppose you deposit $10,000 for 2 years at a rate of 10%.
Calculate the return (A) if the bank compounds monthly (n = 12). Round your answer to the hundredth's place.

Click here to see answer by jim_thompson5910(28598)

Question 83314: The formula for calculating the amount of money returned for an initial deposit money into a bank account or CD (Certificate of Deposit) is given by

A is the amount of returned.
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.
Carry all calculations to 6 decimals on all assignments then round the answer to the nearest cent.
Suppose you deposit $10,000 for 2 years at a rate of 10%.

Calculate the return (A) if the bank compounds quarterly (n = 4). Round your answer to the hundredth's place.
Click here to see answer by jim_thompson5910(28598)

Question 83311: The formula for calculating the amount of money returned for an initial deposit money into a bank account or CD (Certificate of Deposit) is given by

A is the amount of returned.
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.
Carry all calculations to 6 decimals on all assignments then round the answer to the nearest cent.
Suppose you deposit $10,000 for 2 years at a rate of 10%.
a) Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place.

Click here to see answer by jim_thompson5910(28598)

Question 83379: Bob earned $6000 mowing lawns over the summer. He invested part of the $6000 at 3% simple interest and the rest of the $6000 at 4%. He earned a total of $220 in interest. How much did he invest at each rate?
Click here to see answer by josmiceli(9697)

Question 83394: I need help with this equation and problem I am in serious need of a tutor I have just decided to get back into college and earn my degree and I had Algebra thrown at me and I have not been in school for 11 years, I need help with solving this problem, I need a step by step explanation that tells me how to find volume and how to graph, I have only had basic math so this I need help with.

1) An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
Answer

b) Graph this function and show the graph over the valid range of the variable x..
Show Graph here

c) Using the graph, what is the value of x that will produce the maximum volume?
Answer

Click here to see answer by Mona27(45)

Question 83458: One type of uranium has radioactive decay rate of 0.5%. If 20 pounds of this uranium is available today, find how much will still remain after 30days.

-0.005t
Use y=20(2.7) and let t be 30 days.

Quantity left after 30 days =" "pounds.( round to the nearest tenth)
Click here to see answer by stanbon(57415)

Question 83565: The question is: Almonds worth $8.75/lb mixed with peanuts worth 4.75/lb take how many pounds of each to make an 80lb mixture worth $6.50/lb?
I have tried solving by addition with 8.75a + 4.75p = 80(6.50) or $520 by mutiplying a+b=80 by -4.75 to eliminate the peanuts.The result I get is 4.75a=$520-$380 or $140. $140/4.75 is 29.47 for almonds which is wrong. I have the correct answer and my calculation doesn't match the answer and I don't know what I'm doing wrong. I need to know the right way to get to 45lbs of almonds and 35 lbs of peanuts.
This is not from a textbook but a final review.
Thank you very much
Click here to see answer by Edwin McCravy(8920)

Question 83621: joe has a collection of nickels and dimes worth $7.05. if the number of dimes were doubled and the number of nickels were incresed by 5, the value of the coins would be $11.80 how many dimes does he have ?
Click here to see answer by ankor@dixie-net.com(15664)

Question 83748: Use the formula A = P (1 + r/n)^nt to find the total $ accumulated at the end of the indicated time period for the following investments:
$1,150 for 11 years at 10% compounded quarterly.
Click here to see answer by jim_thompson5910(28598)

Question 82927: I just want to know if someone could check this and see if it is right and help me on the rest. Not from a textbook. Thank you

3) The formula for calculating the amount of money returned for an initial deposit money into a bank account or CD (Certificate of Deposit) is given by

A is the amount of returned.
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.
Carry all calculations to 6 decimals on all assignments then round the answer to the nearest cent.
Suppose you deposit $10,000 for 2 years at a rate of 10%.
a) Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place.
Answer: $2,200 is the return
Show work in this space. Use ^ to indicate the power. A= 10,000(1 + .10/1)^1 * 2

b) Calculate the return (A) if the bank compounds quarterly (n = 4). Round your answer to the hundredth's place.
Answer: $8,200
Show work in this space A = 10,000.00(1 +.10/4)^4*2

c) Calculate the return (A) if the bank compounds monthly (n = 12). Round your answer to the hundredth's place.
Answer: $2,419.20
Show work in this space
10,000.00(1+.10/12)^12*2

d) Calculate the return (A) if the bank compounds daily (n = 365). Round your answer to the hundredth's place.
Answer:
Show work in this space

e) What observation can you make about the size of the increase in your return as your compounding increases more frequently?
Answer:

f) If a bank compounds continuously, then the formula takes a simpler, that is

where e is a constant and equals approximately 2.7183.
Calculate A with continuous compounding. Round your answer to the hundredth's place.
Answer:
Show work in this space

g) 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 t). Round your answer to the hundredth's place.
Answer:
Show work in this space

h) 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? Round your answer to the hundredth's place.
Answer:
Show work in this space

Click here to see answer by jim_thompson5910(28598)

Question 83652: eric invested $5000 dollars in the stock market. the value of his stock increased by 13%. what is the amount earned from this investment? and what is the new value of the stock?
Click here to see answer by checkley75(3666)

Question 84045: Can anyone help me with this problem? I'm in an class and running on a dealine. I'm not very capable when it comes to this stuff so any help I can get will be appreciated. Thanks.
The formula for calculating the amount of money returned for deposit money into a bank account or CD (Certificate of Deposit) is given by the following:

A is the amount of returned
P is the principal amount deposited
r is the annual interest rate (expressed as a decimal)
n is the compound period
t is the number of years
Carry all calculations to 6 decimals on all assignments then round the answer to the
nearest cent.
Suppose you deposit $20,000 for 3 years at a rate of 8%.
a) Calculate the return (A) if the bank compounds annually (n = 1).
Answer:
Show work in this space. Use ^ to indicate the power.

b) Calculate the return (A) if the bank compounds quarterly (n = 4). Round your answer to the hundredth's place.
Answer:
Show work in this space .

c) Calculate the return (A) if the bank compounds monthly (n = 12). Round your answer to the hundredth's place.
Answer:
Show work in this space.

d) Calculate the return (A) if the bank compounds daily (n = 365). Round your answer to the hundredth's place.
Answer:
Show work in this space.

e) What observation can you make about the size of increase in your return as your compounding increases more frequently?
Answer:

f) If a bank compounds continuous, then the formula becomes simpler, that is where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding. Round your answer to the hundredth's place.
Answer:

g) Now suppose, instead of knowing t, we know that the bank returned to us $25,000 with the bank compounding continuously. Using logarithms, find how long we left the money in the bank (find t). Round your answer to the hundredth's place.
Answer:
Show work here:

h) A commonly asked question is, “How long will it take to double my money?” At 8% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place.
Answer:

Click here to see answer by jim_thompson5910(28598)

Question 84074: I have a question can someoen correct this for me please:
Problem #1
To produce x units of a religious medal costs C(x) = 12x +39 . The revenue is R(x) = 25x . Both C(x) and R(x) are in dollars.
a) find the break even quantity.
for this i got: that the break even quantity is : 3
b) Find the profit from 250 units?
for this i got: the profit of 250 unit s sold is $ -3014
c) Find the number of units that must be produced for a profit of $130?
For this i got : -19.6666666667 units.
Problem #2
On a summer day, the surface water of a lake is at a temperature of 30 C . What is this temperature in Fahrenheit?
For this i got : 32.06
Click here to see answer by Earlsdon(6288)

Question 84145: Jon invested $21,000, part at 18% and part at 8%. If the total interest at the end of the year is $1,980, how much did he invest at 18%.
Click here to see answer by checkley75(3666)

Question 84279: A small company produces both doll houses and sets of doll furniture. The doll houses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity is 100 items per week. Existing orders require that at least 20 doll houses and 10 sets of furniture be produced per week. Write a system of inequalities representing this situation, where x is the number of doll houses and y is the number of furniture sets. Then graph the system of inequalities.
Click here to see answer by ankor@dixie-net.com(15664)

Question 84770: a girl scout troop sold cookies. if the girls scouts sold 5 more boxes the second week then they did the first week, and if they doubled the sales of the second week the third week to sell a total of 431 boxes of cookies how many did they sell each week
Click here to see answer by dolly(163)

Question 84784: Susan is selling tickets to a concert. Seating capacity is 1,500 seats. The rate is $6.00. Susan knows that she can sell 1200 at this price. Every time that she increases the price by $0.75 then her sales decreases by half. write the equation. What is the maximum amount that she can make.
Click here to see answer by Edwin McCravy(8920)

Question 84878: Pete's commisssion varies directly with the numbers of appliances he sells. Last month his commission was $800 and he sold 20 appliances, what would his commision be if he sells 25 appliances?
Click here to see answer by checkley75(3666)

Question 84977: Find the effective rate of 8.5% compounded semiannually

A. 9.25%
B 8.68%
C. 6.35%
D. 4.25%
Click here to see answer by josmiceli(9697)

Question 84980: Find the amount of an annuity with $2500 deposited quarterly at 8% for four years

A. $46,598.21
B $3,300.00
C. $13,200.00
D $43,200.00
Click here to see answer by stanbon(57415)

Question 84979: Find the present value of an annuity with annual payments of $1400 per year for seven years. The interest is 9% compounded annually

A. $6834.24
B $6012.26
C $2559.25
D $7046.13
Click here to see answer by stanbon(57415)

Question 85057: A survey of 150 students showed that 90 were taking psychology, 75 were taking economics, and 22 were taking neither. The number taking both was

A. 165
B. 143
C. 128
D. 37
Click here to see answer by checkley75(3666)

Question 85253: Hello,
I'm having trouble with this word problem:

Wendell invested a portion of $10,000 at 11% annual interest and the balance at 8% annual interest. He earned $530 more interest for the year from the account earning 11% annual interest than from the account earning 8% annual interest. How much did he invest at 8%?

Thank you!!!
Click here to see answer by ptaylor(2048)

Question 85264: Kindly Solve this Problem Please.

Sorry There was no ISBN in this Book....

1. A person invested $ 15,000. The greater part is invested at 8% and smaller part at 6%. The annual income in the greater part is $ 200 more than the annual income of the smaller part. What is hte smaller part of the investment?
Click here to see answer by checkley75(3666)

Question 85250: Helllo,
I need help with this word problem:
Mrs. Lambert invested a portion of $15,000 at 10% annual interest and the balance at 6% annual interest. If her investments earned $1260 for the year, how much did she invest in each account?
Thank you!!
Click here to see answer by checkley75(3666)

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