The answer is C
Hope this helped:)
Answer: Second Option

Step-by-step explanation:
The function
is an exponential function.
Functions of this type have a range that goes from (0, ∞)
When multiplying the function by a negative coefficient
, now all the values of g(x) will be negative and the range of
will be: (-∞, 0)
Then we must search among the options a function with range (-∞, 0)
Since the exponential functions of the form
, where
always have range (0, ∞) Then the correct option will be the one with a negative coefficient.
The correct option is the second option
Compounded anually means
if you put x in at y percent then
you calculate like this
if you put in x at y percent then the money you earn is
x +(x times y)=z=first year
second year=z+(z times y)=s
third year=s+(s times y)=t
percent means parts out of 100 so 5%=5/100=0.05
'of' can be translated as multiply
so
3000 +(3000 times 0.05)=3150=fisrt year
3150+(3150 times 0.05)=3307.5=second year
3307.5 +(3307.5 times 0.05)=3472.88=tird year
he will have 3472.88 at end of 3 years