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At the end of 2021 there were 27000 rhinos living in the wild. The number of rhinos is expected to decrease exponentially by 3% each year. Work out the number of rhinos expected to be living in the wild 4 years later, at the end of 2025. Give your answer correct to the nearest whole number

Respuesta :

Answer:

There will be 23903 rhinos at the end of 2025.

Step-by-step explanation:

Since the number decreases exponentially, then this question refers to Geometric Sequence with this formula:

[tex]\boxed{U_n=U_1\cdot r^{(n-1)}}[/tex]

Uₙ = n-th term

U₁ = 1st term

r = ratio

n = total number of terms

Given:

n = 5 (U₁ is end of 2021, therefore end of 2025 will be U₅)

U₁ = 27000

r = 100% - 3% = 0.97

(the number decreases by 3% each year)

[tex]U_n=U_1\cdot r^{(n-1)}[/tex]

[tex]U_5=U_1\cdot r^{(5-1)}[/tex]

[tex]U_5=27000\cdot (0.97)^4[/tex]

[tex]U_5=23903\ rhinos[/tex]