Percentages (help)

1. John has $100000. He is going to deposit his money into a bank.Bank A
offers simple interest at 5%p.a. Bank B offers compound interest at 4.5%
p.a. compounded yearly.
(a) What will be the interest if he deposits the money
(i) in Bank A for 5 years
(ii) in Bank B for 5 years
(b)Which bank should he choose if he decides to deposit the money for 5
years?

2. A sum of $1000000 is deposited in a bank for 3 years with interest rate 6%
p.a.Find the difference between the interest that compounded yearly and
that compounded monthly.

3. Stephy bounght a car with $180000 four years ago. The value of the car
depreciated by 15% in the first year.From the second year onwards, it
depreciated at 10%per year.
(a)What was the value of the car two years ago?
(b)What is the current value of the car?
(c)If she sells the car at its current value with a discount of 30%,corrected
to the nearest doller,how much does she get?
(d)Stephy has to pay 5% of the selling price of the car to the agent as
commission,how much dose the agent get?

4.For any deposits,bank A offers a simple interest rate of a% p.a. and bank B offers a compound interest rate of 12% p.a.,compounded half-yearly.For the same principal,Nancy finds that she can earn more interest from bank A than from bank B in 2 years .Find a possible value of a.