P = 215(1.005)t/3 The equation above can be used to model the population, in thousands, of a certain city t years after 2000. according to the model, the population is predicted to increase by 0.5% every n months. what is the value of n ?

(A) 3 (B) 4 (C) 12 (D) 36

B

I’m not 100 percent sure but i did the math and this was the closest

(D) 36

Step-by-step explanation:

0.5%  = 0.5/100  =  0.005

It is given that the population (215) is predicted to increase by 0.5%. To know the value after increment, 215 has to be multiplied by (1 + 0.005) or 1.005.

In the equation P  =  215(1.005)t/3, the value of t/3 has to be equal to 1 for 0.5% increase.

t/3  =  1

t  =  3 years

Convert years to months.

n  =  3 ⋅ 12 months

n  =  36 months

The correct option is D.

Thanks!

Mark me brainliest!

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