1 An initial investment of 9000 grows at an annual interest

1). An initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. How long will it take to double the investment

3). Find all the rational zeroes of the function.

x³ - 12x² + 41x - 42

1) Investment = $9000 rate = 5%

Continous compunding formula :A = Pe^(r*t) where r --rate ; t= time P = intial investemnet

So, A = 2P

2P = P e^(0.05t)

2 = e^(0.05t)

Taking natural log of both sides: ln2 = 0.05t

t = ln2/0.05 = 13.86 years

3. P = 2632 /( 1 +0.083e^(0.05oot)

Population in 2001 : t = 1

P = 2632/( 1+ 0.083^(0.05))

=2632/1.8829 = $ 1397.84