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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.

Respuesta :

Answer:

The required expression would be [tex]4(4)^{t-1}[/tex]

Step-by-step explanation:

Since, the amount formula is,

[tex]A=P(1+r)^t[/tex]

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,

[tex]256=4(1+r)^3[/tex]

[tex]64=(1+r)^3[/tex]

 [tex]4=1+r[/tex]

[tex]r = 4-1=3[/tex]

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

[tex]A=4(4)^{t-1}[/tex]

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