Answer:
![P=\$65,062.35](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1jjyrk9ruoz9xji1f3hvy8fco05xb4zxl5.png)
Explanation:
we know that
The simple interest formula is equal to
![I=P(rt)](https://img.qammunity.org/2020/formulas/mathematics/college/mobnh6zyv5me8p7h5kezfv406oss475cu5.png)
where
I is the interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
![t=(83/365)\ years\\ P=?\\ I=\$680.57\\r=0.046](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gcojx6ulemeys97s3bl5c2n8t45ag13sza.png)
substitute in the formula above
![680.57=P(83/365)(0.046)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qif303loxqcf1sussht28klykztghtbm49.png)
![680.57*365=P(83)(0.046)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8eue9l128t2pvgua0ingxtq8ffawd3akwa.png)
![P=680.57*365/[(83)(0.046)]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8rxou6sy7itzx6eengwoanm4982qr0tzmr.png)
![P=\$65,062.35](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1jjyrk9ruoz9xji1f3hvy8fco05xb4zxl5.png)