if the simple interest of $38,000 in three years is $5700 what is the rate?

I = Prt

5,700 = 38,000 * 3r

0.15 = 3r

0.05 = r

rate = 5%

Thank you Ms. Sue for your help. Can you please explain to me from here 0.15 came from? really appreciate it.

5700 / 38,000 = 0.15

You're welcome.

To find the rate, we can use the formula for simple interest:

Simple Interest = (Principal * Rate * Time) / 100

In this case, the principal amount is $38,000 and the simple interest is $5,700. The time is given as three years. We want to find the rate.

We can rearrange the formula to solve for the rate:

Rate = (Simple Interest * 100) / (Principal * Time)

Substituting the given values, we have:

Rate = (5700 * 100) / (38000 * 3)

Rate = 1900 / 114000

Rate = 0.0167 (rounded to four decimal places)

To convert this to a percentage, multiply by 100:

Rate = 0.0167 * 100

Rate = 1.67%

Therefore, the rate is 1.67%.