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

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

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`