Answer:
The principal is $8500.
Step-by-step explanation:
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the interest, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time, in years.
In this problem, we have that:
[tex]E = 828.75, I = 0.065, t = 1.5[/tex]
[tex]E = P*I*t[/tex]
[tex]828.75 = 1.5*0.065P[/tex]
[tex]P = 8500[/tex]
The principal is $8500.