Suppose that P dollars in principal is inves account earning 2.1% interest compounded continuously. At the end of 2 yr, the amount in the account has earned $193.03 in interest. a. Find the original principal. Round to the nearest dollar. (Hint: Use the model A = Pe" and substitute P+ 193.03 for A.) b. Using the original principal from part (a) and the model A = Pe", determine the time required for the investment to reach $6000. Round to the nearest tenth of a year.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.2: Applications Of Exponential Functions
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Suppose that P dollars in principal is inves
account earning 2.1% interest compounded
continuously. At the end of 2 yr, the amount in the
account has earned $193.03 in interest.
a. Find the original principal. Round to the nearest
dollar. (Hint: Use the model A = Pe" and substitute
P+ 193.03 for A.)
b. Using the original principal from part (a) and the model
A = Pe", determine the time required for the investment
to reach $6000. Round to the nearest tenth of a year.
Transcribed Image Text:Suppose that P dollars in principal is inves account earning 2.1% interest compounded continuously. At the end of 2 yr, the amount in the account has earned $193.03 in interest. a. Find the original principal. Round to the nearest dollar. (Hint: Use the model A = Pe" and substitute P+ 193.03 for A.) b. Using the original principal from part (a) and the model A = Pe", determine the time required for the investment to reach $6000. Round to the nearest tenth of a year.
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