Question 8 of 9, Step 1 of 1 4/9 Correct In Carol invested $30,800 at 19% to be compounded monthly. What will be the value of Carol's investment in 2 years? Round your answer to the nearest cent. Nom Assume 365 days in a year and 30 days in a month.

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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### Lesson 4.8: Simple and Compound Interest

#### Online Practice Activity

**Question 8 of 9, Step 1 of 1**

**Problem Statement:**
Carol invested $30,800 at 19% to be compounded monthly. What will be the value of Carol's investment in 2 years? Round your answer to the nearest cent. Note: Assume 365 days in a year and 30 days in a month.

**Enter your answer in the provided field.**

**Answer:**
[How to enter your answer (opens in new window)](URL to guide)

**Interface Overview:**
- **Progress Tracker:** Displays the number of questions answered correctly (4/9 in this case) and incorrectly (3 in this case).
- **Answer Input Box:** Empty field where users can input their calculated answer.
- **Action Buttons:**
  - **Tutor:** Provides additional help or resources.
  - **Skip:** Skips the current question.
  - **Try Similar:** Presents a similar question for practice.
  - **Submit Answer:** Submits the provided answer for evaluation.

**Note:** The correct approach involves understanding the formula for compound interest:
\[ A = P \left( 1 + \frac{r}{n} \right)^{nt} \]
Where:
- \( A \) is the amount of money accumulated after n years, including interest.
- \( P \) is the principal amount (the initial amount of money).
- \( r \) is the annual interest rate (decimal).
- \( n \) is the number of times that interest is compounded per year.
- \( t \) is the time the money is invested for, in years.
Transcribed Image Text:### Lesson 4.8: Simple and Compound Interest #### Online Practice Activity **Question 8 of 9, Step 1 of 1** **Problem Statement:** Carol invested $30,800 at 19% to be compounded monthly. What will be the value of Carol's investment in 2 years? Round your answer to the nearest cent. Note: Assume 365 days in a year and 30 days in a month. **Enter your answer in the provided field.** **Answer:** [How to enter your answer (opens in new window)](URL to guide) **Interface Overview:** - **Progress Tracker:** Displays the number of questions answered correctly (4/9 in this case) and incorrectly (3 in this case). - **Answer Input Box:** Empty field where users can input their calculated answer. - **Action Buttons:** - **Tutor:** Provides additional help or resources. - **Skip:** Skips the current question. - **Try Similar:** Presents a similar question for practice. - **Submit Answer:** Submits the provided answer for evaluation. **Note:** The correct approach involves understanding the formula for compound interest: \[ A = P \left( 1 + \frac{r}{n} \right)^{nt} \] Where: - \( A \) is the amount of money accumulated after n years, including interest. - \( P \) is the principal amount (the initial amount of money). - \( r \) is the annual interest rate (decimal). - \( n \) is the number of times that interest is compounded per year. - \( t \) is the time the money is invested for, in years.
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