Answer:
Year 2,590
Step-by-step explanation:
In this question, we are asked to calculate the year at which the population of a country will be a certain amount given the exponential equation through which the equation proceeds.
Let’s rewrite the exponential function;
A = 429e^0.024t
Now here, our A is 559,000,000
t is unknown
Let’s substitute this value of A in the exponential equation;
559,000,000 = 429 * e^0.024t
559,000,000/429 = e^0.024t
1,303,030.303030303 = e^0.024t
Let’s take the logarithm of both sides to base e, we have;
ln(1,303,030.303030303) = ln(e^0.024t)
14.08 = 0.024t
t = 14.08/0.024
t = 587 years
Now, we add this to year 2003 and this gives year 2590
