In 10 years, a bank account with a 5.25% annual interest rate earned $18,375 as simple interest. What was the principal amount?

Respuesta :

Answer:

The principal amont was $35,000

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

[tex]E = 18375, t = 10, I = 0.0525[/tex]

We want to find P. So

[tex]E = P*I*t[/tex]

[tex]18375 = P*0.0525*10[/tex]

[tex]0.525P = 18375[/tex]

[tex]P = \frac{18375}{0.525}[/tex]

[tex]P = 35000[/tex]

The principal amont was $35,000