In this problem, we must compute the simple interest of a loan of:
• t = Time = 54 days,
,• P = Principal Ammount = $4800,
,• r = Interest rate per year = 5% = 0.05 (in decimals).
The simple interest is given by the following formula:
[tex]I=P\cdot r\cdot\frac{t}{365}=4800\cdot0.05\cdot\frac{54}{365}\cong35.51.[/tex]Answer
The simple interest of the loan is $35.51 to the nearest cent.