MATHS

2008-07-29 9:59 pm
1. Suppose a loan shark offers a loan of $9000 and require the debtor to reture $13000 in a week,find the simple interest rate per annum.
Solution:Interest=_________=________
Time=7days =________year
Let R% be the simple interest rate :





2.Tom borrowed $100000 from a bank at12% p.a.,interest being compounded monthly.He repaid a fixed amount of money at the end of each month .If he wanted to repay for not more than $200000 , how much should he pay each month?How much would he pay in total?

回答 (1)

2008-07-30 3:17 am
✔ 最佳答案
1. Interest = 13 000 - 9000 = $4000

Time = 7 days = 7 / 365 year

Let R% be the simple interest rate.

i.e. 9000 X R% X 7 / 365 = 4000

R = 2317 (cor. to the nearest integer)

Therefore, the simple interest rate per annum is 2317%.



2. Let n months be the time for repayment

100 000 X (1 + 12% / 12)n <= 200 000

1.01n <= 2

nlog1.01 <= log2

n <= 69.66

n = 69

So, he should pay each month

= 200 000 / 69

= $2898.55 (cor. to 2 d.p.)

He should pay in total

= 2898.55 X 69

= $200 000

參考: Myself~~~


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