The simple interest accrued when $24,000 is multiplied by 72 at an APR of 6.5% is $68,131.2.
we can approach this in two ways:
1. Simple Multiplication:
Multiply the principal amount by 72:
![\[ 24,000 * 72 = 1,728,000 \]](https://img.qammunity.org/2024/formulas/mathematics/college/s09xbh4cosd0jy9m9fvdkkvxoy5xubo8jq.png)
2. Including Interest (if referring to financial context):
If the intention is to calculate the future value of an investment or loan, use the formula for compound interest:
![\[ \text{Future Value} = \text{Principal} * (1 + \text{Rate})^{\text{Time}} \]](https://img.qammunity.org/2024/formulas/mathematics/college/k06wpv2q1j2rlwnzwcbxlchatjmkm560qg.png)
Given:
Principal (P) = $24,000
Rate (R) = 6.5% or 0.065 (as a decimal)
Time (T) = 72 (assuming time-related)
![\[ \text{Future Value} = 24,000 * (1 + 0.065)^(72) \]](https://img.qammunity.org/2024/formulas/mathematics/college/5in14lne6hv5p13e253lrqncsz1njczf92.png)
![\[ \text{Future Value} \approx 24,000 * (2.8388) \]](https://img.qammunity.org/2024/formulas/mathematics/college/yskx5wmf6ns9n52ierdtdt69qy3k0wjx8w.png)
![\[ \text{Future Value} \approx 68,131.2 \]](https://img.qammunity.org/2024/formulas/mathematics/college/3mkgq5kzpgtwr44j7dwr30ndfebhbbgk64.png)
Therefore, when considering a multiplication of $24,000 by 72 without a clear context, the simple product is $1,728,000. However, if it's related to an investment with an APR of 6.5% compounded annually over 72 periods, the future value would be approximately $68,131.2. Please specify if this calculation relates to a different context for a more accurate answer.
Question:
To calculate the total amount when an initial principal amount of $24,000 is multiplied by 72, considering an Annual Percentage Rate (APR) of 6.5%.