i need step by step solution
Question:
i need step by step solution
This is AI generated Response.
Asked by: ROHIT
Created at: 2026-01-15 04:04:40
Asked by: ROHIT
Created at: 2026-01-15 04:04:40
Final Answer:
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Let's break down the problem step by step.
---
## **Step 1: Understand the Question**
You want to have enough money saved to withdraw **$80,000 per year** in retirement, and you expect to earn **4% interest** on your retirement funds without touching the principal. The question is: **How much do you need in your retirement account to achieve this?**
---
## **Step 2: Set Up the Math**
If you want to withdraw $80,000 per year and only use the interest (not the principal), the amount you need in your account (let's call it \( X \)) must satisfy:
\[
.04X = 80,000
\]
Where:
- \( .04 \) is the 4% interest rate
- \( X \) is the amount you need saved
---
## **Step 3: Solve for \( X \)**
\[
X = \frac{80,000}{.04}
\]
\[
X = 2,000,000
\]
---
## **Step 4: Check the Answer Choices**
Let's look at the options given in the image:
- $1,750,000
- $2,000,000
- $1,000,000
- $800,000
---
## **Step 5: Select the Correct Answer**
The correct answer is **$2,000,000**.
---
### **Summary Table**
| Step | Calculation | Result |
|-----------------|------------------------------------|---------------|
| Withdraw per yr | $80,000 | |
| Interest rate | 4% | |
| Formula | $80,000 ÷ .04 | $2,000,000 |
---
**Final Answer:**
**$2,000,000** is the amount you need in your retirement account to withdraw $80,000 per year at 4% interest without touching the principal.
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