Question 1042662
Please help me to solve this question.

Question 1
Suppose a certain population grows according to the formula N = NoE^kt, where N is number of people  (in millions) at time t (in years), No is the number of people (in millions) when an observation was first made, and k is a constant. Suppose the population increases from 2 million to 32 million in 80 years.

1.1 Use the given formula to determine the constant k (leave your answer in ln, if necessary).

1.2 Calculate the time in which the population will double.


Question 2
Suppose that an amount of $5000 is invested for 3 years, and the interest is  compounded monthly at an annual rate of 10%. Write down a formula, simplified as far as possible, to represent the amount that the investment will be worth after 3 years.

Do not calculate the answer.


Thank for your help...
<pre>{{{highlight_green(k = (ln (16))/80)}}}
Population doubles in {{{highlight_green(matrix(1,2, 20, years))}}}