A broker promises to grow your money exponentially at 12% per year. Your starting investment is $500. A. Write an exponential growth equation to calculate how much your investment will grow after t years.

B. What is the y- intercept and growth factor of the scenario?

C. How much money will you have in the bank after 7 years?

D. How much money will you have in the bank after 14 years?

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

b

step-by-step explanation:

if i knew id you bro,, my bad

answer is  

a.

5.56

hope you get this right.