I need solutions in full detail step by step , please do not leave out any step that helps towards solving this is to ensure my comprehension of the problem and solution. Accurate answers please

Section 4.1

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Question 2

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50/1 pt 52 99 0 Details

A population numbers 19,000 organisms initially and grows

by 19.3% each year.

Suppose P represents population, and t the number of years

of growth. An exponential model for the population can be

written in the form P = a·bt where

P =

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Question 3

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B0/1 pt 52 99 0 Details

A population numbers 19,000 organisms initially and

decreases by 5% each year.

Suppose P represents population, and t the number of years

of growth. An exponential model for the population can be

written in the form P = a·bt where

P =

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Question 6

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50/1 pt 52 99 0 Details

An exponential function f(0) = a. bill passes through the

points (0, 7) and (2, 175). What are the values of a and b?

a =

and b =

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Question 5

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50/1 pt 52 99 0 Details

A vehicle purchased for $32,500 depreciates at a constant

rate of 5%. Determine the approximate value of the vehicle

14 years after purchase. Round to the nearest whole dollar.

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Question 4

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B0/1 pt 52 99 0 Details

The fox population in a certain region has an annual growth

rate of 7 percent per year. It is estimated that the

population in the year 2000 was 12500.

(a) Find a function that models the population t years after

2000 (t = 0 for 2000).

Your answer is P(t)

=

(b) Use the function from part (a) to estimate the fox

population in the year 2008.

Your answer is (the answer should be an integer)

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