Determine the simple interest earned on $$ \$ 10,000 $$ after 20 years if the APR is $$ 14 \% $$.

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To calculate the **simple interest** earned on an investment, you can use the following formula:

$$
\text{Simple Interest (I)} = P \times r \times t
$$

Where:
- $$ P $$ = Principal amount (initial investment)
- $$ r $$ = Annual Percentage Rate (APR) in decimal form
- $$ t $$ = Time the money is invested for, in years

**Given:**
- $$ P = \$10,000 $$
- $$ \text{APR} = 14\% = 0.14 $$ (in decimal)
- $$ t = 20 $$ years

**Plugging the values into the formula:**

$$
I = \$10,000 \times 0.14 \times 20
$$

$$
I = \$10,000 \times 2.8
$$

$$
I = \$28,000
$$

**So, the simple interest earned after 20 years is \$28,000.**

**Total Amount After 20 Years:**

If you also want to know the **total amount** accumulated after 20 years (principal + interest), you can add the simple interest to the principal:

$$
\text{Total Amount} = P + I = \$10,000 + \$28,000 = \$38,000
$$

**Summary:**
- **Simple Interest Earned:** \$28,000
- **Total Amount After 20 Years:** \$38,000
The simple interest earned on \$10,000 after 20 years at an APR of 14% is \$28,000.

Determine the simple interest earned on \( \$ 10,000 \) after 20 years if the APR is \( 14 \% \).

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