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44 votes
A population of 120 beetles increases at an annual rate of 30%. How many beetles will there be in 16 years? Write an expression to represent the equivalent monthly population increase rate.

User Msmialko
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1 Answer

12 votes
12 votes

Answer:

Expression:
120(1.3)^(16)

Beetles after 16 years: 7984 beetles

Explanation:

Since the population increases 30% annually every year on the population size of that year, then we need to use a compound interest formula which would be the following

A = P (1 + r/n) (nt)

A = the future amount

P = the initial amount

r = the annual increase rate (decimal)

n = the number of times that interest/increase is compounded per unit t

t = the number of years

Using the values in the question the expression for this scenario would be the following

120(1 + (0.30 / 1))^(1*16)


120(1.3)^(16)

7984.99

User Denton
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