Need answer on attached question 2, a) b) c) and question number 3.

Suppose that P is invested in a savings account in which interest, k, is compounded continuously at 3.8% per year. The balance PU) after time t, in years, is P(z') 2 Paid . a) What is the exponential growth function in terms of P and z'? P(t) = b) If $7,000 is invested, what is the balance after 8 years? Round to the nearest dollar and show all your work. c) How long will it take for an investment of $7,000 to triple? Round to the nearest tenth of a year. Show your work algebraically. Carbon dating. The amount of carbon14 percent in animal bones after 1' years is given by P0) = Pug0.00012: . A bone has lost 20% of its carbon14. To the nearest year, what is the age of the bone? (hint: 20% loss means 80% remains)