K How long will it take money to triple if it is invested at 8% compounded semiannually? 7.4% compounded continuously? It will take about years at 8% compounded semiannually. (Round to two decimal places as needed.)

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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**Transcription for Educational Website**

Title: Calculating Investment Growth Over Time

---

**Investment Growth Calculation:**
To determine the time required for an investment to triple, given two different compounding interest scenarios, consider the following:

1. **Interest Rate and Compounding Frequencies:**
   - 8.1% compounded semiannually
   - 7.4% compounded continuously

**Question:**
How long will it take money to triple under each compounding condition?

**Answer and Calculation Space:**
- "It will take about ____ years at 8.1% compounded semiannually." 
  - *(Round to two decimal places as needed)*

**Note:** 
Use appropriate financial formulas to calculate the time for each scenario. For semiannual compounding, utilize the compound interest formula. For continuous compounding, use the formula for continuous growth. 

**Instructions:**
- Enter your answer in the provided space.
- Make sure to perform calculations accurately and check the rounding instructions.
Transcribed Image Text:**Transcription for Educational Website** Title: Calculating Investment Growth Over Time --- **Investment Growth Calculation:** To determine the time required for an investment to triple, given two different compounding interest scenarios, consider the following: 1. **Interest Rate and Compounding Frequencies:** - 8.1% compounded semiannually - 7.4% compounded continuously **Question:** How long will it take money to triple under each compounding condition? **Answer and Calculation Space:** - "It will take about ____ years at 8.1% compounded semiannually." - *(Round to two decimal places as needed)* **Note:** Use appropriate financial formulas to calculate the time for each scenario. For semiannual compounding, utilize the compound interest formula. For continuous compounding, use the formula for continuous growth. **Instructions:** - Enter your answer in the provided space. - Make sure to perform calculations accurately and check the rounding instructions.
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