Adeer population grows at a rate of four percent per year. how many years will it take for the population to double?

It is going to take 17.65 years for the population to double.

Step-by-step explanation:

The population of the deer is after t years is given by the following equation

In which is the initial population and r is the decimal growth rate.

A deer population grows at a rate of four percent per year. This means that

How many years will it take for the population to double?

This is t when

Here, we apply the log 10 to both sides of the equation.

It is important to note the following property of logarithms.

It is going to take 17.65 years for the population to double.

it will take approximately 18 years

Step-by-step explanation:

A deer population grows at a rate of four percent per year. The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

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

Where

A represents the population after t years.

n represents the period of growth

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

A = 2P

P = P

r = 4% = 4/100 = 0.04

n = 1

Therefore

2P = P(1 + r/n)^ nt

2P/P = (1 + 0.04/1)^1 × t

2 = (1.04)^t

Taking log of both sides to base 10

Log 2 = log1.04^t = tlog1.04

0.3010 = t × 0.017

t = 0.3010/0.017 = 17.7 years

the answer is d. (1.2, -4.7) on edgn

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