Let's break down the solution into the required parts:
### Part (a) - Calculate the interest on the unpaid balance from February
Deon's unpaid balance from February, which is the beginning balance on March 1, is \[tex]$592.75. The monthly interest rate charged by the credit card company is 1.25%.
To find the interest on the unpaid balance from February, we use the formula for calculating simple interest:
\[ \text{Interest} = \text{Principal} \times \text{Rate} \]
Substituting the given values:
\[ \text{Interest} = 592.75 \times 0.0125 \]
The calculated interest is \$[/tex]7.41.
### Part (b) - Calculate Deon's unpaid balance on April 1 statement
To calculate the unpaid balance on April 1, we need to consider the following:
- The unpaid balance from February
- The interest on the unpaid balance from February, which we calculated in part (a)
- Payments made during March
- Purchases made during March
We use the following formula to get the unpaid balance on April 1:
[tex]\[ \text{Unpaid Balance on April 1} = (\text{Unpaid Balance from February} + \text{Interest from February}) - \text{Payments Made} + \text{Purchases Made} \][/tex]
Substituting the provided values:
[tex]\[ \text{Unpaid Balance on April 1} = (592.75 + 7.41) - 22.10 + 159.79 \][/tex]
First, we add the unpaid balance from February and the interest from February:
[tex]\[ 592.75 + 7.41 = 600.16 \][/tex]
Then subtract the payments made during March:
[tex]\[ 600.16 - 22.10 = 578.06 \][/tex]
Finally, add the purchases made during March:
[tex]\[ 578.06 + 159.79 = 737.85 \][/tex]
Thus, Deon's unpaid balance on April 1 statement is \$737.85.
### Final Answers
(a) The interest on the unpaid balance from February is:
[tex]\[ \boxed{7.41} \][/tex]
(b) Deon's unpaid balance on April 1 statement is:
[tex]\[ \boxed{737.85} \][/tex]
