10

Set 12: Exponential Functions (Intermediate)

Explanation

Answer: A

A savings account grows according to A(t)=5000(1.04)tA(t) = 5000(1.04)^t. What is the balance after 0 years?

A.

$5000

✓ Correct
B.

$5200

C.

$1.04

D.

$0

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Substitute t=0t = 0. 1. Substitute: A(0)=5000(1.04)0=5000(1)=5000A(0) = 5000(1.04)^0 = 5000(1) = 5000. 2. Initial Deposit: The balance at t=0t=0 is the initial amount deposited. Strategic Tip: For y=abxy = ab^x, when x=0x=0, the result is always aa (the initial value). Choice B is incorrect because this is the balance after 1 year, not 0 years. Choice C is incorrect because 1.04 is the growth factor, not a dollar amount. Choice D is incorrect because there is an initial deposit.

Key Steps:

The correct answer is $5000

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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