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Terence's spending account balance is represented by the formula A ( t ) = 100 ( 0.9 ) t , where t is time elapsed in weeks. What will his account balance be after 2 weeks? A. 41 B. 45 C. 81 D. 90

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Answer:

C. $81

Step-by-step explanation:

To find out how much money would be in Terence's account balance after 2 weeks, we can use the formula provided to us.

[tex]A(t)=100(0.9)^t[/tex]

Next, we plug in [tex]2[/tex] in the formula:

1) [tex]A(t)=100(0.9)^2[/tex]     First, solve the squared portion.

2) [tex]A(t)=100(0.81)[/tex]    Next, multiply the last 2 numbers.

[tex]A(t)=81[/tex]

Terence's account balance after 2 weeks will be C. $81

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