The function for finding the population growth in mayertowne is given by f(t) = 120(1.15)^t. what is the rate of increase?

The formula for population growth is written as , where t is the growth factor.

And the formula for growth factor is b = 1+r , where r is the rate of increase

So for our question

b = 1.15

that implies

1+r = 1.15

subtract 1 from both sides

So , r= 0.15

So to change in percent , multiply by 100

we get

r= 15%

rate of increase = 15%

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.