Question

I need help with questions 3 and 4

Answer 1

Explanation:

3)

`7billion = 5 {e}^(15r) \\ 1.4billion = {e}^(15r) \\ ln(1.4 \: billion) = 15r \\ 21.0597 = 15r \\ r = 1.404`

`4) \\ t = 0 \: y= 200 \\200 = a {e}^(0) \\ a = 200 \\ 800 = 200 {e}^(8k) \\ 4 = {e}^(8k) \\ ln(4) = 8k \\ k = 0.1733`