2
advanced-math

An investment grows according to A(t)=1000(1.07)tA(t) = 1000(1.07)^t. What is the annual growth rate?

A

1.07%

B

7%

C

107%

D

0.07%

Correct Answer: B

Choice B is the correct answer. The rate is found from the factor b=1+rb = 1+r.

  1. Identify Factor: b=1.07b = 1.07.
  2. Solve for r: 1+r=1.07r=0.071 + r = 1.07 \implies r = 0.07.
  3. Convert: 0.07=7%0.07 = 7\%.

💡 Strategic Tip: Subtract 1 from the base to get the rate as a decimal.

Choice A is incorrect because it confuses the decimal with the percentage. Choice C is incorrect because 107% would mean b=2.07b=2.07. Choice D is incorrect because 0.07% is 0.00070.0007.