The initial amount of bacteria in a culture is 12,000. The culture grows at a rate of 45% each day. Write an exponential function to model the population of y bacteria after x days. How many bacteria are there after 6 days?

FV= 111,529.37 = 111,529

Step-by-step explanation:

Giving the following information:

Initial amount (PV)= 12,000

Growth rate (g)= 45% = 0.45

First, we will establish the future value formula:

FV= PV*(1+g)^n

FV= future value

n= number of days

FV= 12,000*(1.45^n)

For 6 days:

FV= 12,000*(1.45^6)

FV= 111,529.37

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.