If a principle of $4000 is invested at an interest rate of 6%, how many years will it be until the investment has grown to $5000 if the interest is compounded continuously? Use the formula A = Pet. Round to the nearest 0.01 years.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
Problem 2E
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Question 1:
If a principle of $4000 is invested at an interest rate of 6%, how many years will it be until the investment has grown to
$5000 if the interest is compounded continuously? Use the formula A = Pet. Round to the nearest 0.01 years.
t=
Question 2:
At what rate should $10000 be invested so that after 11 years, the investment will have grown to $68000?
Round your answer to the nearest 0.01 percent. For example, 5-% interest should be expressed as 5.25. Do not
include the percent symbol in your answer.
Transcribed Image Text:Question 1: If a principle of $4000 is invested at an interest rate of 6%, how many years will it be until the investment has grown to $5000 if the interest is compounded continuously? Use the formula A = Pet. Round to the nearest 0.01 years. t= Question 2: At what rate should $10000 be invested so that after 11 years, the investment will have grown to $68000? Round your answer to the nearest 0.01 percent. For example, 5-% interest should be expressed as 5.25. Do not include the percent symbol in your answer.
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