1 Using a calculator approximate e13 to 4 decimal places 2 U

1. Using a calculator, approximate e^-1.3 to 4 decimal places.

2. Using a calculator, approximate the value of 2.4^2.2 to 4 decimal places.

3.Suppose that $799.1 is invested at 8.9% compounded continuously. How much is in the account after 14.7 years? Round your answer to the nearest cent.

Solution

(1)e^(-1.3) = 0.2725

(2) 2.4^(2.2) = 6.8622

(3)For compounded contineously

A=Pe^^(rt)

Here, P=$799.1

r=8.9 %

time=t=14.7

Therefore, Amount=A=799.1*e^(8.9*14.7/100) =$2956.57