Question

What should replace a, b, and x in B(t) = abx for the amount of money in the account, B(t), after t months with an initial deposit of $100.

Answer 1

Answer:

$B(t) =100 * (1 + r)^t$

Step-by-step explanation:

Given

$B(t) = ab^x$

$x = t$ ---- months

$a = 100$ --- Initial deposit

Required

Replace a, b and x

Substitute: $a = 100$ in $B(t) = ab^x$

$B(t) = 100 * b^x$

Substitute:$x = t$

$B(t) = 100 * b^t$

From the question, the rate, r is not given.

And

$b = 1 + r$

So, the expression becomes:

$B(t) =100 * (1 + r)^t$