At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the population was 1.74 million people. Assume that population grows according to an uninhibited exponential growth model.

What would be the population of the city 5 years after the start of the population study?

A. 2.1518
B. 1.7683
C. 1.8027
D. 1.8843
F. None of the Above

C. 1.8027

Step-by-step explanation:

The exponential population growth model is given by:

In which P(t) is the population after t years, is the initial population and r is the growth rate.

At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the population was 1.74 million people.

This means that

Applying this to the equation, we find r. So

Applying ln to both sides

So

What would be the population of the city 5 years after the start of the population study?

This is P(5).

So the correct answer is:

C. 1.8027

step-by-step explanation:

how many centimeters did the level of the salsa go down by?

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: