A population of bears increased by 50% in 4 years. If the situation is modeled by an annual growth rate compounded continuously, which formula could be used to find the annual rate according to the exponential growth function?

Therefore the annual rate to the exponential growth function is 10.66%

Step-by-step explanation:

Given that, a population of bears increased by 50% in 4 year.

The growth rate is compound continuously.

So we use the compound formula:

Let the initial population of bear was x.

Since 50% of growth of bear is increased in 4 year.

Therefore the number of  bears increased  = 0.5 x in 4 year.

Therefore the total number of bear after 4 years is =(x+0.5x) = 1.5 x

Here A = 1.5x,

P=x,

n=4

Therefore,

    [ cancel x from both sides]

Therefore the annual rate to the exponential growth function is 10.66%.

10000

step-by-step explanation: divide by 2,

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632