Suppose that P dollars in principal is invested in an account earning 3.9% interest compounded continuously. At the end of 4 yr, the amount in the account has earned $1603.85 in interest. Part 1 of 2 (a) Find the original principal. Round to the nearest dollar. (Hint: Use the model A =Pe" and substitute P+ 1603.85 for A.) The original principal was approximately $ 9500 Part: 1/ 2 Part 2 of 2 (b) Using the original principal from part (a) and the model A =Pe", determine the time required for the investment to reach $11,000. Round to 1 decimal place.
Suppose that P dollars in principal is invested in an account earning 3.9% interest compounded continuously. At the end of 4 yr, the amount in the account has earned $1603.85 in interest. Part 1 of 2 (a) Find the original principal. Round to the nearest dollar. (Hint: Use the model A =Pe" and substitute P+ 1603.85 for A.) The original principal was approximately $ 9500 Part: 1/ 2 Part 2 of 2 (b) Using the original principal from part (a) and the model A =Pe", determine the time required for the investment to reach $11,000. Round to 1 decimal place.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![Suppose that P dollars in principal is invested in an account earning 3.9% interest compounded continuously. At the end of 4 yr,
the amount in the account has earned $1603.85 in interest.
Part 1 of 2
(a) Find the original principal. Round to the nearest dollar. (Hint: Use the model A =Pe" and substitute P+ 1603.85 for A.)
The original principal was approximately $ 9500
Part: 1/ 2
Part 2 of 2
(b) Using the original principal from part (a) and the model A = Pe", determine the time required for the investment to
reach $11,000. Round to 1 decimal place.
Using the original principal from part (a) and the model A =Pe'", it will take the investment
approximately
yr to reach $11,000.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83bb4a24-edde-4e51-9334-ba20151422dc%2F6d7a74ef-2954-4a7d-a9ef-c284596a8221%2Fx6skq56_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that P dollars in principal is invested in an account earning 3.9% interest compounded continuously. At the end of 4 yr,
the amount in the account has earned $1603.85 in interest.
Part 1 of 2
(a) Find the original principal. Round to the nearest dollar. (Hint: Use the model A =Pe" and substitute P+ 1603.85 for A.)
The original principal was approximately $ 9500
Part: 1/ 2
Part 2 of 2
(b) Using the original principal from part (a) and the model A = Pe", determine the time required for the investment to
reach $11,000. Round to 1 decimal place.
Using the original principal from part (a) and the model A =Pe'", it will take the investment
approximately
yr to reach $11,000.
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