Answer:
The amount of simple interest earned on July 1 is $823.2.
Explanation:
Here, the principal amount = $800
The rate of interest = 5.8%
Now, the interval of the deposition = from 1 January to 1 July
So, the duration of the deposited amount = 6 months
Now, 12 Months = 1 Year
So, 6 months = 6 /12 = 0.5 year
Now,
![\textrm{SIMPLE INTEREST} = (P * R * T)/(100)](https://img.qammunity.org/2021/formulas/mathematics/high-school/8sstcmpub900klkf7bpw3zetmxmqih8zlm.png)
![\implies SI = (800 * 5.8 * 0.5)/(100) = 23.2](https://img.qammunity.org/2021/formulas/mathematics/high-school/gbq6ifyzbzkaoqpha6xy1wfwsf8sp25hl4.png)
So the interest earned on $800 is $23.2.
Now, Amount = INTEREST + PRINCIPAL
⇒ A = $800 + $23.2 = $823.2
Hence, the amount of simple interest earned on July 1 is $823.2.