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A bank charges a fee of 0.5% per month for having a checking account. Stephani’s account has $325 in it. Which function models the balance of Stephani’s account, B(t), in dollars, as a function of time, t, in months?

a: B(t) = 325(0.0995)t

b: B(t) = 325(0.005)t

c: B(t) = 0.05(325)t

d: B(t) = 325 + 12(0.005)t

Answer :

MrRoyalgo

Answer:

[tex]f(t) = 325(0.995)^t[/tex]

Step-by-step explanation:

Given

[tex]r= 0.5\%[/tex] ---- Charges

[tex]a= \$325[/tex] --- Amount

Required

Represent the balance as a function

This is calculated using exponential function.

[tex]f(t) = ab^t[/tex]

Where

[tex]b = 1 - r[/tex]

So, we have:

[tex]b = 1 - 0.5\%[/tex]

[tex]b = 1 - 0.005[/tex]

[tex]b = 0.995[/tex]

So:

[tex]f(t) = ab^t[/tex]

[tex]f(t) = 325 * 0.995^t[/tex]

[tex]f(t) = 325(0.995)^t[/tex]

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