9 precalc questions

please show work and write by hand. Questions are attached

Answers without supporting work may receive no credit. Complete your work on another piece
of paper. Include your name..
1. (6 points) Find an exponential equation to represent the graph below:
(0, -3)
(4-را-)
=
2. (8 points) Algebraically, find an exponential equation that passes through the two points
f(-2) = 25 and f(3) = 375
3. (5 points) Algebraically, Solve for t: 5(0.87)’ = 2.75
4. (5 points) Algebraically, Solve for x: 15e -0.03x = 85
5. (5 points) Algebraically, Solve for x: 10927(1 – 5x) = {
6. (5 points) I invest $5000 in an account earning 13% compounded monthly. How long will it
take for the value to reach $12000? Show analysis. Support your work graphically.
7. (5 points) For the function you created in Question 1. If you wrote an annual growth model
y = ab% + c , rewrite it into a continuous growth model y aekx + c (or the reverse
Continuous -> Annual)
8. (2 points) Rewrite log 14 using the change of base formula.
9. (9 points) Explain how we know that the function is either a growth or decay equation. How
do we know the initial value is the same as the y-intercept? Just telling me the graph shows it
isn’t what I’m looking for. I’d like you to talk about properties of exponents.
x
-X
f(x) = 42)