Basic Mathematics for College Students

(Nandana) #1

  1. LOAN APPLICATIONS Complete the following
    loan application.

  2. LOW-INTEREST LOANS An underdeveloped
    country receives a low-interest loan from a bank
    to finance the construction of a water treatment
    plant. What must the country pay back at the end
    of years if the loan is for $18 million at 2.3%
    simple interest?

  3. REDEVELOPMENT A city is awarded a low-
    interest loan to help renovate the downtown business
    district. The $40-million loan, at 1.75% simple
    interest, must be repaid in years. How much
    interest will the city have to pay?


A calculator will be helpful in solving the following problems.



  1. COMPOUNDING ANNUALLY If $600 is invested
    in an account that earns 8%, compounded annually,
    what will the account balance be after 3 years?

  2. COMPOUNDING SEMIANNUALLY If $600 is
    invested in an account that earns annual interest of
    8%, compounded semiannually, what will the account
    balance be at the end of 3 years?

  3. COLLEGE FUNDS A ninth-grade student opens a
    savings account that locks her money in for 4 years at
    an annual rate of 6%, compounded daily. If the initial
    deposit is $1,000, how much money will be in the
    account when she begins college in 4 years?

  4. CERTIFICATE OF DEPOSITS A 3-year certificate
    of deposit pays an annual rate of 5%, compounded
    daily. The maximum allowable deposit is $90,000.
    What is the most interest a depositor can earn from
    the CD?

  5. TAX REFUNDS A couple deposits an income tax
    refund check of $545 in an account paying an annual
    rate of 4.6%, compounded daily. What will the size of
    the account be at the end of 1 year?


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Loan Application Worksheet


  1. Amount of loan (principal) _____

  2. Length of loan (time) __

  3. Annual percentage rate ____

  4. Interest charged __

  5. Total amount to be repaid __

  6. Check method of repayment:
    1 lump sum monthly payments


Borrower agrees to pay ______ equal
payments of __________ to repay loan.

$810.00

9 mos.

12%

9

(simple interest)


  1. INHERITANCES After receiving an inheritance of
    $11,000, a man deposits the money in an account
    paying an annual rate of 7.2%, compounded daily.
    How much money will be in the account at the end of
    1 year?

  2. LOTTERIES Suppose you won $500,000 in the
    lottery and deposited the money in a savings account
    that paid an annual rate of 6% interest, compounded
    daily. How much interest would you earn each year?

  3. CASH GIFTS After
    receiving a $250,000
    cash gift, a university
    decides to deposit the
    money in an account
    paying an annual rate
    of 5.88%, compounded
    quarterly. How much
    money will the account contain in 5 years?

  4. WITHDRAWING ONLY INTEREST A financial
    advisor invested $90,000 in a long-term account at
    5.1% interest, compounded daily. How much money
    will she be able to withdraw in 20 years if the
    principal is to remain in the account?

  5. LIVING ON THE INTEREST A couple sold their
    home and invested the profit of $490,000 in an
    account at 6.3% interest, compounded daily. How
    much money will they be able to withdraw in 2 years
    if they don’t want to touch the principal?


WRITING


  1. What is the difference between simple and compound
    interest?

  2. Explain this statement:Interest is the amount of
    money paid for the use of money.

  3. On some accounts, banks charge a penalty if the
    depositor withdraws the money before the end of the
    term. Why would a bank do this?

  4. Explain why it is better for a depositor to open a
    savings account that pays 5% interest, compounded
    daily, than one that pays 5% interest, compounded
    monthly.


REVIEW


  1. Evaluate: 72. Evaluate:

  2. Add: 74. Subtract:


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4


b

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B

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6.5 Interest 569


  1. Multiply: 76. Divide:

  2. Evaluate: 62 78. Evaluate:(0.2)^2 (0.3)^2


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