Please I could really use some help on this (100 points) Aunt Ga Ga gave you $5,500 to save for college. You deposit the money in a savings account that earns 4% annual interest, compounded quarterly. (Show your work for each question)

a. Write an exponential function to model this situation. Define your variables.

b. What will the value of the account be after 2 years?

c. how long would it take the account to be worth $10,000?

(a)

(b)$5955.71

(c)15.02 years

Step-by-step explanation:

For an initial principal P deposited in an account at an annual interest r compounded for a number of period k, the amount in the account after n years is given by the model:

(a)Aunt Ga Ga gave you $5,500 to save for college.

P=$5,500

Annual Interest, r=4%=0.04

Since interest is compounded quarterly, Number of Periods, k=4

Therefore, an exponential function modeling this situation is:

(b)After 2 years, i.e. when n=2

(c)When A(n)=$10000, we have:

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

f is the midpoint of