Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 20 years?
Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 20 years?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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NEAREST TENTH AND ACCURATE pls alot have been wrong
![**Investment Problem Scenario**
Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily. Assuming no deposits or withdrawals are made, how much money, *to the nearest cent*, would be in the account after 20 years?
**Explanation of Compound Interest Calculation:**
In this scenario, compound interest is calculated using the formula:
\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \]
Where:
- \( A \) is the amount of money accumulated after n years, including interest.
- \( P \) is the principal amount ($53,000).
- \( r \) is the annual interest rate (decimal) (0.027).
- \( n \) is the number of times that interest is compounded per year (365 for daily compounding).
- \( t \) is the time the money is invested for in years (20).
Using this formula, you can calculate the final amount after 20 years with daily compounding.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2dd81d9-0823-42a6-bd49-c62408f470c9%2Fac700703-3b25-4114-ba33-6825acff23f8%2F2095hnt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Investment Problem Scenario**
Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily. Assuming no deposits or withdrawals are made, how much money, *to the nearest cent*, would be in the account after 20 years?
**Explanation of Compound Interest Calculation:**
In this scenario, compound interest is calculated using the formula:
\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \]
Where:
- \( A \) is the amount of money accumulated after n years, including interest.
- \( P \) is the principal amount ($53,000).
- \( r \) is the annual interest rate (decimal) (0.027).
- \( n \) is the number of times that interest is compounded per year (365 for daily compounding).
- \( t \) is the time the money is invested for in years (20).
Using this formula, you can calculate the final amount after 20 years with daily compounding.
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