QUESTION 3: The expression below can be used to calculate the balance in a savings account for which an initial deposit of P dollars has been compounded each year for t years at interest rate r. A = P(1+r) Miguel opened a savings account with a deposit of $1000. The interest is compounded each year at a rate of 2%. 1. What will be the balance in Miguel's account at the end of 1 year? 2. What will be the balance in Miguel's account at the end of 4 years? Tim opened a savings account with a deposit of $800. The interest is compounded each year at a rate of 2.5%. 3. Will Miguel or Tim have earned more interest at the end of 4 years?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Question 3:**

The expression below can be used to calculate the balance in a savings account for which an initial deposit of P dollars has been compounded each year for t years at interest rate r.

\[ A = P(1 + r)^t \]

Miguel opened a savings account with a deposit of $1000. The interest is compounded each year at a rate of 2%.

1. What will be the balance in Miguel’s account at the end of 1 year?
2. What will be the balance in Miguel’s account at the end of 4 years?

Tim opened a savings account with a deposit of $800. The interest is compounded each year at a rate of 2.5%.

3. Will Miguel or Tim have earned more interest at the end of 4 years?

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Transcribed Image Text:Sure! Here's the transcription for the educational website: --- **Question 3:** The expression below can be used to calculate the balance in a savings account for which an initial deposit of P dollars has been compounded each year for t years at interest rate r. \[ A = P(1 + r)^t \] Miguel opened a savings account with a deposit of $1000. The interest is compounded each year at a rate of 2%. 1. What will be the balance in Miguel’s account at the end of 1 year? 2. What will be the balance in Miguel’s account at the end of 4 years? Tim opened a savings account with a deposit of $800. The interest is compounded each year at a rate of 2.5%. 3. Will Miguel or Tim have earned more interest at the end of 4 years? ---
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