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kassie borrowed $1000 from the bank at a 12% interest rate. How much money will Kassie have to pay the bank over a six month period of time?

2006-10-02 11:48:51 · 4 answers · asked by Anonymous in Science & Mathematics Mathematics

4 answers

Assuming simple interest:
The formula is A = P(1+rt),
where P is the prinicple, r is the interest rate and t is the time (i years)
P = 1000, r = .12 and t = 1/2
A = 1000(1+(.12)(1/2))
A = 1000(1+.06)
A = 1000(1.06)
A = 1060

2006-10-02 11:52:56 · answer #1 · answered by MsMath 7 · 0 0

This depends how the interest is calculated.
If the 12% is the annual interest rate, and the interest is applied monthly then 1% will be charged each month.

If the interest is compounded then in the second month 1% will be applied to $1000 + $10 from the first months interest.

So after the second month the amount owed will be 1.01*(1010) = 1.01*(1000*1.01) = 1000* 1.01^2

Hence after six moths the total amount repayable is 1000*1.01^6 = $1061.52

Note this compounding of interest has added an extra $1.52 in comparision to if 1% of $1000 = $10 was added each month.
If that was the case $1060 would be repayable.

2006-10-02 18:55:14 · answer #2 · answered by bofalot 1 · 0 0

The interest is given by I = Prt, where P is the principal,
r is the yearly interest rate and t is the time in years.
So the interest is 1000*.12*1/2 = 60.
The total amount to repay is therefore $1060.

2006-10-02 20:50:22 · answer #3 · answered by steiner1745 7 · 0 0

12% of 1000 is 120. if interest is 120 a year, then half that would be 60

2006-10-02 18:53:10 · answer #4 · answered by overcaffeinated_ball_of_fire 2 · 0 0

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