1. The interest gained by compound interest must increase if the number of periods of time increases.
2. Rates is charged annually in Hong Kong.
3. A person who has a higher annual income must pay more tax than a person
who has a lower annual income.
4. Suppose X = X + Y. If X and Y are increased by 10% , then Z is also increased by 10%.
Salaries tax rates for the financial year 2012 - 2013.
Net chargeable income ($) : Rate
On the first 40 000 : 2%
On the next 40 000 : 7%
On the next 40 000 : 12%
Remainder : 17%
5. Nelson has to pay salaries tax of $8400 in year 2012 - 2013. Find his monthly salary in the year 2012 - 2013. Given that the basic allowance is $120 000.
6. The number of bacteria in an experiment increases by 20% each hour. Find the percentage of the number of bacteria after 10 hours . Given the answer correct to the nearest integer.
7. The price of a flat is increased by 15% in 2 years. Find the percentage change of the price.
A. 0%
B. - 2.25%
C. 2.25%
D. 30%
8. May borrowed $ 50 000 from a bank at an interest rate of 15% p.a. The interest was compounded monthly. Starting from the first month, she repaid $3000 to the bank at the end of each month. Can she repay the loan after 2 years? Briefly explain your idea.
9. Write down 3 sets of values of a and b such that P(1 + a%)(1 - b%) = P.
For example : a = 25, b = 20
更新1:
10. Let $P be the amount of investment for Paul. The returns for the 2 schemes can be calculated as follows : Schemes A : Return = $P × (1 + 3%) ≈ $1.1593P Scheme B : Return = $P × (1 + 16%) = $1.16P
更新2:
Since the return rate of Scheme B is larger , Paul should choose this scheme. Assume that the rate of Scheme A remains unchanged. Can you help the bank to find the return rate for Scheme B such that the returns for both schemes after 8 years will be the same?
