Ian has a bank account that earns interest. The value, V, in dollars, of Ian's account after T years can be modeled by the exponential function V(t)=5000(1.025)t.

Ian claims that the value of his bank account grows by an equal factor each year. To prove his claim, which equation must he show to be true?

a) V(t+1)−V(t)=1.025
b) V(t)−V(t+1)=1.025
c) V(t+1)V(t)=1.025
d) V(t)V(t+1)=1.025

did you ever find the answer?

Step-by-step explanation:

quit

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: