1. How much money must be deposited at the end of each week into an annuity at...

Question:

1. How much money must be deposited at the end of each week into an at 2.6% interest compounded weekly in order to have $36,000 after 21 years?
2. Find the monthly payment on a $33,100 20-year mortgage at 6% interest compounded monthly.
3. Suppose that 100 people were just elected to a certain state legislature and that after each term, 8% of those still remaining from this original group will either retire or not be reelected. Let yn be the number of legislators from the original group of 100 who are still serving after n terms. Find a difference equation for yn.
Use difference equations to answer the question.
Annuity
An annuity is a series of equal payment made at equal intervals during a period of time. In other words annuity is a contract between insurer and insurance company in which insurer make a lump-sum payment or a series of payment and, in return,...