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The function f(x)=2,500(1.012)^x represents the amount, in dollars, in a savings account after x years. Which statement is true? A. The account earns 0.12% interest per year. B. The account earns 0.012% interest per year. C. The initial amount in the account was $2.500. D. The amount in the account increases by $2,500 each year,

Respuesta :

Answer:

C. The initial amount in the account was $2,500.

Explanation:

The function that represents the amount, in dollars, in a savings account after x years is given as:

[tex]f\mleft(x\mright)=2,500\mleft(1.012\mright)^x[/tex]

When x=0 (Initially)

[tex]\begin{gathered} f\mleft(0\mright)=2,500\mleft(1.012\mright)^0 \\ =2,500\times1 \\ =\$2,500 \end{gathered}[/tex]

Therefore, the initial amount in the account was $2,500.

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