S3 Maths

2012-10-10 4:00 am
Please to slove the following questions;

1. Sunny Borrowed $90 000 in a bank at an interest rate of 3.6% p.a.. If
the interest is compounded monthly, find the amount and compound
interest after 10 months.

2. Mr. Lee deposited some money for 3 years and earned interest of
$3152.5 . The interest rate was 5% p.a. compounded yearly. Find
the principal.

3. Suppose that the interest is compounded quarterly. Find the difference
between the simple and compound interest on $40,000 deposited for
1.5 years at an interest rate of 5% p.a.

4.Suppose that interest is compounded half-yearly. If the difference
between the simple interest and the compound interest for 1 year at an
interest rateof 5% is $25, find the principal.

回答 (2)

2012-10-10 4:10 am
✔ 最佳答案
1 Amount = 90000 * (1 + 3.6%/12)^10 = 92736.7431

Compound interest = 92736.7431 - 90000 = 2736.7431

2 Let the principal is P

P * (1 + 5%)^3 - P = 3152.5

P(1.05^3 - 1) = 3152.5

P = 20000

3 Simple interest = 40000 * 5% * 1.5 = 3000

Compound interest = 40000 * (1 + 5%/4)^6 - 40000 = 3095.32722

Difference = 95.32722

4 Let the principal is P

[P * (1 + 5%/2)^2 - P] - [P * 5%] = 25

0.000625P = 25

P = 40000
2012-10-10 4:31 am
P = 40000XDDDD


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