In 2000, the population of a state was 6.8 million people and was growing at a rate of about 0.32% per year. at this growth rate, the function f (x) = 6.8(1.0032)x gives the population, in millions x years after 2000. using this model, find the year when the population reaches 7 million people. round your answer to the nearest whole number. the population will reach approximately 7 million people during the year.

9 years. Rounded.

Step-by-step explanation:

Givens

f(x) = 7 (the amount you would like to see reached which is 7 million).

6.8 = Current population.

1.0032 = the base increase.

x = the number of years

Equation

f(x) = Current* Base^x

Solution

7 = 6.8 * (1.0032)^x                 Divide both sides by 6.8

7/6.8 = 6.8* (1.0032)^x/6.8     Do the division

1.0294 = (1.0032)^x                 Take the log of both sides. (You could use ln)

log(1.0294) = x * log(1.0032)    Calculate.

0.0126 = x * .001387                Divide by 0.001387

0.0126/0.001387 = x                Divide

9.08 years. = x                          Answer

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is