EXERCISE 6 Solve the following problems. 1. Suppose that the temperature of a cup of green tea obey Newton's Law of Cooling. The tea has a temperature of 75°C when freshly poured and after one minute, it has cooled to 73.7°C. If the room temperature is 37.7°C, determine the time when the tea reaches a temperature of 50°C

The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.