1. The value in dollars of car in t years from now is r(t) = 12,500(0.85)t (a) What is the annual rate of depreciation, the rate at which the car loses value? (b) In how many years will the value of the car be approximately half, what it is now? 2. If grocery price increase 1% per month for a whole year, how much would groceries that cost $100 at the beginning of the year cost at the end of the year?1. Suppose you invest $1 at 6% annual interest. Calculate the amount that you would have after one year of the interest is compounded. a) quarterly: b) monthly: c) continuously: 2. Suppose that $1000 is invested at 7% interest compounded continuously. How much money would be in the bank after 5 years? 3. A population of ladybugs rapidly multiplies so that the population t days from now is given by A (t) = 3000each a) How many ladybugs are present now? b) How many will there be after a week