I just need help solving step by step

1. The Bakers invested $2000 in an account paying 8% compounded quarterly.How much is in the account after 24 months?

3. Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will he receive?

A. $240

B. $480

C. $720

D. $960

E. $1,200

4. Leslie deposit $3000 into a CD and is earning 5% interest , compounded quarterly.What will be the value of the CD after 10 years?

5. If f(x) = 2^x and g(x) = x - 2, then (g^of)(0) =

A) 0

B) 1

C) 2

D) -1

E) -2

6. Change the logarithmic Log L = R into an expression involving an exponent.

A) 10^L = R

B) e^L = R

C) 10^R = L

D) e^R = L

E) none of these

7. Solve for x: log_ax + log_a22 = log_a6 + log_a (x + 1)

A) x = 2/3

B) x = 3/11

C) x = 3/8

D) no solution

E) x = 5/7

8. Solve:You have invested $82,000, form an inheritance, at 4 and 1/2 % interest, compounded quarterly.Find the amount of money in the account after 2 years.What is it after 5 years?

9. Find inverse f(x)= 24x+5/ (x-120)and x 4

10. If f(x) and g(x) are two functions defined by

f(x) = (x + 1)

g(x) = | x - 1 |,

then what is the value of f(g(9))?

A) 810

B) | 10 - 1 |

C) 310

D) -3

E) 3

11. Jan plans to invest $7500, part at 4% simple interest and the rest at 5% simple interest. What is the most that he can invest at 4% and still be guaranteed at least $325 per year?

$ ________________

12. Factor completely:8x⁴y⁴ - 18x²y⁶

1.x²y⁴ (8x² - 18y²)

2.2x²y⁴ (2x - 3y)(2x + 3y)

3.2x²y⁴ (4x2 - 9y²)

4.2x²y⁴ (2x - 3y)²

13. Use the properties of logarithms to simplify log₄ (4x²) for x > 0

A) 1 + 2 log₄x

B) 2(log₄ 4)(log₄ x)

C) 2 (log₄ 4x)

D) log₄ x²

E) none of these

14. Solve the equation (4m - 2)² - 2(4m - 2) = 15

A) {1/4)

B) {7/4, -1/4}

C) { -4/7, 4}

D) {4/7, -4}

E) no solution

15. The sales price of a car is $12,590, which is 20% off the original price. What is the original price?

A. $14,310.40

B. $14,990.90

C. $15,290.70

D. $15,737.50

E. $16,935.80

16. Express as a single logarithm and, if possible, simplify: log_a 75 + log_a 2

A. log_a 100

B. log_a 150

C. log_a 10

D. log_a 35

E. log_a 1

17. Find the correct answer for the log 10

A. 1

B. 2

C. 10

D. -1

E. -2

18. Find an equation of the inverse relation for: y = 4x - 5

A. x = 4y + 5

B. x = 2y - 5

C. x = 2y + 5

D. x = 4y - 5

E. x = y - 5