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

Respuesta :

Answer:

the correct answer is a one

The equation i.e. true is Option b) V(t)−V(t+1)=1.025.

Calculation of an equation

Since The value, V, in dollars, of Ian's account after T years could be modeled via the exponential function V(t)=5000(1.025)t. So for claiming that the value of the bank account should be grown at the equal factor at each year so fir this, the option b is considered.

Therefore, The equation i.e. true is Option b) V(t)−V(t+1)=1.025.

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