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iragen [17]
3 years ago
15

A population of 80,000 toads is expected to shrink at a rate of 9.2% per year. What will be the toad population be in 20 years?

Mathematics
2 answers:
jekas [21]3 years ago
7 0
P=80,000×(1−0.092)^(20)
p=11,609.3
eduard3 years ago
5 0

Answer:

Using the formula:

P = P_0(1+r)^t                          .....[1]

where,

P is the population after t years

P_0 is the initial population

r is the rate (in decimal)

As per the statement:

A population of 80,000 toads is expected to shrink at a rate of 9.2% per year.

⇒Initial population(P_0) = 80,000 toad

and

r = -9.2% = -0.092

We have to find the toad population be in 20 years.

t = 20 years

Substitute the given values in [1], we have;

P = 8000 \cdot (1-0.092)^{20}

⇒P = 8000 \cdot (0.908)^{20} = 80000 \cdot 0.145116559

Simplify:

P = 11609.3247 \approx 11609

Therefore, about 11609 will be the toad population be in 20 years.

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