Asked by justin

Jenny invests $2,000 at an interest rate of 5%. The amount of money, mc007-1.jpg, in Jenny’s account after t years can be represented using the equation mc007-2.jpg. If Jenny would have invested the same amount of money at the same interest rate four years ago, the equation representing the amount of money, mc007-3.jpg, in her account would be represented using the equation mc007-4.jpg. Which of the following is equivalent to mc007-5.jpg?
mc007-6.jpg
mc007-7.jpg
mc007-8.jpg
mc007-9.jpg

All Answers 1

Answered by GPT-5 mini AI
2000(1.05)^{t+4} = 2000(1.05)^t(1.05)^4, since a^{t+4} = a^t·a^4.

So the equivalent choice is 2000(1.05)^t(1.05)^4 (or 2000(1.05)^4(1.05)^t).