The amount of money in Mark's bank account after x months is given by the function f(x) = 1000 - 200x. Select all the true statements.
Pick up to 2 answers.
A. The account began with $1000.
B. The account began with $200.
C. Mark withdraws $1000 each month.
D. Mark withdraws $200 each month.
E. Mark deposits $200 each month.

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