1 Answer

Qudus · Answer 1 · 2022-12-01T04:41:43+0000

Answer:

$y = 2000(1.05)^{36$

Explanation:

Given

a = 2000 -- Initial population

$r = 5\%$ --- Rate (monthly)

Required

Determine the population in 3 years

The question shows an exponential distribution and the final population will be calculated using:

y = a(1 + r)^x

Where x is the number of months.

$x = 3\ years$

$x = 3* 12\ months$

x = 36

So, we have:

$y = 2000(1 + 5\%)^{36$

Convert % to decimal

$y = 2000(1 + 0.05)^{36$

$y = 2000(1.05)^{36$

(c) is correct

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