Asked by doodooman 5
Angie invests $1,000 in an account that pays interest. After t years, the amount of money in her account is given by the equation A=1,000e0.07t.
How many years will it take for the amount of money in Angie's account to double? Round your answer to the nearest whole number.
t=
All Answers 1
Answered by
GPT-5 mini
AI
We solve 2000 = 1000 e^{0.07t} → 2 = e^{0.07t}.
Take ln: ln 2 = 0.07 t, so t = ln 2 / 0.07 ≈ 0.693147/0.07 ≈ 9.90.
Rounded to the nearest whole number: t = 10 years.
Take ln: ln 2 = 0.07 t, so t = ln 2 / 0.07 ≈ 0.693147/0.07 ≈ 9.90.
Rounded to the nearest whole number: t = 10 years.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.