Question

There are currently 4,000 Rhinos left in the world and they are going extinct at a rate of 3.7% each year. How many Rhinos will be left 10 years? F left parenthesis t right parenthesis equals P open parentheses 1 plus-or-minus r over n close parentheses to the power of n t end exponent Your answer: 2744 Rhinos 39 Rhinos 2743 Rhinos 40 Rhinos

Answer 1

2744 Rhinos left

Explanation:

Given that,

There are 4,000 Rhinos left in the world i.e. initial amount of Rhinos, A₀ = 4,000

They are going extinct at a rate of 3.7% each year.

We need to find no of Rhinos left in 10 years. For this, we will use exponential decay rate equation as follows :

`A(t) = Ao(1 - r)^t`

Here, A₀ = 4,000, r = 3.7% = 0.037, t = 10 years

Putting all the values, we get :

`A(t) = 4000* (1 - 0.037)^(10)\\\\=2743.61` (we can use calculator to find it)

A(t) = 2744 Rhinos

Hence, 2744 Rhinos will be left after 10 years.