Question

Adrian has 256 money by the end of month 4, at month 1 he had saved 4 dollars, use an exponent in an expression to represent how much money he will have at the end of the month.

Answer 1

The required expression would be
`4(4)^(t-1)`

Explanation:

Since, the amount formula is,

`A=P(1+r)^t`

Where,

P = invested amount,

t = number of periods,

r = rate per period,

Given,

The invested amount at month 1, P = 4,

Number of periods from month 1 to month 4, t = 3

Amount at the end of fourth month, A = 256.

By substituting the values,

`256=4(1+r)^3`

`64=(1+r)^3`

`4=1+r`

`r = 4-1=3`

Hence, the amount of money at the end of t months.

`A=4(4)^(t-1)`