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12 June, 14:11

7.

Keith Wendell plans to borrow $5,810.

He has decided on a term of 95 days at 8% interest.

He has a choice of two lenders.

One calculates interest using a 360-day year and the other uses a 365-day year.

Find the amount of interest Wendell will save by using the lender with the 365-day year.

$1.54

$1.67

$1.63

$1.68

8.

Jake Winters plans to invest $7,400.

Find the interest rate required for the fund to grow to $7,844 in 8 months.

9%

5.7 %

8.5%

6%

+1
Answers (1)
  1. 12 June, 17:13
    0
    Given:

    Principal : $5,810

    term: 95 days

    rate: 8%

    365/360 days

    Interest = Principal * rate * term

    Interest = 5,810 * 0.08 * 95/360

    Interest = 122.66

    Interest = 5,810 * 0.08 * 95/365

    Interest = 120.98

    122.66 - 120.98 = 1.68

    Wendell will save $1.68 in interest if he chose the lender that uses 365-day year.

    Given:

    Principal - $7,400

    Future Value - 7,844

    term - 8 months

    interest rate - x

    Interest = 7844 - 7400 = 444

    Interest = Principal * rate * term

    444 = 7,400 * rate * 8/12

    444 = 4,933.33 * rate

    444 / 4,933.33 = rate

    0.09 = rate

    The interest rate required for the fund to grow to $7,844 in 8 months is 9%
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