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find the unit rate round to the nearest hundredth if necessary

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Mat126 W2 Survey Of Mathematical Methods D2

Mat126 W2 Survey Of Mathematical Methods D2

This Discussion will help us learn to develop our own mathematical
models, write down the equations and then solve the equations for
unknown values using algebraic methods. Refer back to Week One Discussion and use the names and ages of
yourself and the other two people you selected. Make sure one is older
than you and one is younger than you. In years, how old was the older person when you were born? Write an equation that models how old in years each of you will
be, when your ages add up to 150 years old. For example, if x = your
age and the eldest person was a year older than you, you would write
their age as x + 1. Then the equation would be: x + (x+1) = 150. Explain the reasoning which helped you develop your equation. Solve for your future ages. Are your answers reasonable, do they add up to 150? In years, how old were you when the youngest person was born? At some point during the lives of you and the youngest person, your age will be three times his/her age at that moment. Write an equation which models how old in years each of you will be when you are three times as old as the younger person. Explain the reasoning which helped you develop your equation. Solve the equation for your ages when you are three times as old as the youngest person. Are your answers reasonable? Respond to at least two of your classmates’ postings. Check
their equations and investigate for mathematical errors. Help with a
constructive critique.
Your initial post should be at least 150 words in length.

Mathermatics

Mathermatics

Find the simple interest on a $400 investment made for 5
years at an interest rate of 7%/year. What is the accumulated amount?
A) The simple interest is
$140, the accumulated amount is $540.
B) The simple interest is $115, the accumulated amount is
$515.
C) The simple interest is $120, the accumulated amount is
$520.
D) The simple interest is $125, the accumulated amount is
$555.
2. If the accumulated amount is $3,720 at the end of 3 years
and the simple rate of interest is 8%/year, what is the principal?
A) The principal is $3,500.
B) The principal is $3,360.
C) The principal is $3,000.
D) The principal is $3,200.
3. Find the accumulated amount A if the principal P = $2,000
is invested at the interest rate of r = 6% per year for t = 6 years, compounded
annually.
A) The accumulated amount is $3,508.28.
B) The accumulated amount is $3,194.16.
C) The accumulated amount is
$2,837.04.
D) The accumulated amount is $2,708.89.
4. Find the accumulated amount A if the principal P =
$11,000 is invested at the interest rate of r = 5% per year for t = 5.5 years,
compounded quarterly.
A) The accumulated amount is $14,585.32.
B) The accumulated amount is $13,785.93.
C) The accumulated amount is $14,100.05.
D) The accumulated amount is
$14,457.17.
5. Determine the simple
interest rate at which $1,500 will grow to $1,550 in the 8 months. Round your
answers to the nearest tenth of percent.
A) The interest rate is 5%/year.
B) The interest rate is 4.33%/year.
C) The interest rate is 4.76%/year.
D) The interest rate is 66.67%/year.
E) The interest rate is 3.06%/year.
6. Find the present value of $40,000 due in 4 years at the
given rate of interest 8%/year compounded monthly.
A) The present value is $28,948.67.
B) The present value is $29,433.94.
C) The present value is $29,076.82.
D) The present value is $29,748.06.
7. In order to help finance the purchase of a new house, the
Abdullahs have decided to apply for a short-term loan (a bridge loan) in the
amount of $140,000 for a term of 1 mo. If the bank charges simple interest at
the rate of 12%/year, how much will the Abdullahs owe the bank at the end of
the term?
A) $141,400
B) $140,012
C) $146,800
D) $144,900
8. The Kwans are planning to buy a house 6 years from now.
Housing experts in their area have estimated that the cost of a home will
increase at a rate of 6%/year during that period. If this economic prediction
holds true, how much can the Kwans expect to pay for a house that currently
costs $160,000?
A) $218,199
B) $221,562
C) $230,490
D) $226,963
9. The manager of a money market fund has invested $4.2
million in certificates of deposit that pay interest at the rate of 5.4%/year
compounded quarterly over a period of 5 years. How much will the investment be
worth at the end of 5 years?
A) 5,491,921.88
B) 3,211,990.34
C) 1,291,921.88
D) 12,024,347.20
10. Find the effective rate corresponding to nominal rate 6%
/ year compounded monthly. Round the answers to the nearest hundredth of
percent.
A) 6.538%
B) 5.858%
C) 6.598%
D) 6.168%
11. Find the interest rate needed for an investment of
$4,000 to grow to an amount of $5,000 in 4 yr if interest is compounded
continuously. Please round the answer to the nearest hundredth of percent.
A) 5.58 %/yr
B) 5.70 %/yr
C) 6.63 %/yr
D) 5.01 %/yr
E) 5.92 %/yr
12. Anthony invested a sum of money 6 yr ago in a savings
account that has since paid interest at the rate of 7%/year compounded
quarterly. His investment is now worth $19,713.77. How much did he originally
invest? Please round the answer to the nearest cent.
A) $13,000.01
B) $12,500.01
C) $14,000.01
D) $11,500.01
E) $11,000.01
13. Georgia purchased a house in 1998 for $220,000. In 2003
she sold the house and made a net profit of $50,000. Find the effective annual
rate of return on her investment over the 5-yr period. Please round the answer
to the nearest tenth of percent.
A) 3.7%/yr
B) 3.1%/yr
C) 4.4%/yr
D) 4.2%/yr
E) 5.6%/yr
14. Find the amount
of an ordinary annuity of 10 yearly payments of $1,800 that earn interest at
10% per year, compounded annually.
A) $4,668.74
B) $28,687.36
C) $87,798.04
D) $3,600.00
15. Robin, who is self-employed, contributes $4,000/year
into a Keogh account. How much will he have in the account after 15 years if
the account earns interest at the rate of 6.5%/year compounded yearly?
A) $96,728.68
B) $10,287.36
C) $158,267.14
D) $3,771.28
16. If a merchant deposits $1,500 annually at the end of
each tax year in an IRA account paying interest at the rate of 10%/year
compounded annually, how much will she have in her account at the end of 25
years? Round your answer to two decimal places.
A) $16,252.06
B) $147,520.59
C) $5,250.00
D) $34,663.65
17. Find the present value of an ordinary annuity of $600
payments each made quarterly over 5 years and earning interest at 4% per year
compounded quarterly.
A) $8,154.20
B) $2,671.09
C) $10,827.33
D) $56,916.87
18. Juan invested $24,000 in a mutual fund 5 years ago.
Today his investment is worth $34,616. Find the effective annual rate of return
on his investment over the 5-year period.
A) 10.3%/year
B) 8%/year
C) 83%/year
D) 8.3%/year
19. Find the amount of an ordinary annuity for 5 years of
quarterly payments of $2,200 that earn interest at 4% per year compounded
quarterly.
A) $11,222.21
B) $65,511.77
C) $48,441.81
D) $2,684.42
20. Find the present value of the ordinary annuity. Please
round the answer to the nearest cent.$2,000 per semiannual period for 7 yr at
12%/year compounded semiannually
A) P = $18,589.97
B) P = $17,913.54
C) P = $20,003.52
D) P = $13,147.80
E) P = $9,629.07

4 Partial Differential equations Problems - Due April 3 at 12:00 pm EST

4 Partial Differential equations Problems - Due April 3 at 12:00 pm EST

Hi there, I need someone skilled in partial differential equations who can do the following 4 questions with steps and the CORRECT answers. I need this done by this Thurs April 3 at 12:00 pm EST (Eastern-Standard Time).Only bid if you can promise 100% correct answers and can deliver by the due date. Thank you.5.4.1.PNG 5.5.1 c.PNG (Only c)5.6.4.PNG 5.5.15.PNG

math need it done less than 24 hours

math need it done less than 24 hours

must show all work please and has to be correct. 1. Marcia Stubern is planning for her golden years. She will retire in 20 years at which time she plans to withdraw $60,000 annually. She is expected to live for 20 years following her retirement. Her financial advisor thinks she can earn 9% annually. How much does she need to invest each year to prepare for her financial needs after her retirement?2. Samauel Johnson invested in gold 1 ounce "double eagle" U.S. coins ten years ago, paying $185 at that time. He could sell these coins for $734 today. What rate of return did he earn on this investment?3. The Swell Computer Company has developed a new line of desktop computers. It is estimated that the cash return generated by the new product line will be $800,000 / year for the first 5 years and then $500,000 / year for 3 year after that. The cash returns occur at the end of each year. Using a discount rate of 9%, what is the present value of these returns?4.Ten years ago Harold black bought 100 shares of common stock of Country Homes for $37.50 per share. He just sold them (ten years later) for a total of $9,715.02 Assume there were not any dividend payments during this 10 years. What was Harold's rate of return.5. Mr. Sullivan is borrowing $2 million to expand his business. The loan will be for 10 years at 12% and will be repaid in equal quarterly installments. What will the amount of the quarterly payments be?I must show my work on each problem, Thank you for you help!!!

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