Respuesta :

Based on the period of compounding, the amount it comes to after 3 quarters is $5,327.75 and the interest earned is $52.75.

Find periodic rate

The 4% is an annual figure. Find the quarterly figure:

= 4%/4

= 1% per quarter

Amount after 3 quarters

= Amount x ( 1 + rate) ^ number of periods

= 5,725 x ( 1 + 1%)³

= $5,327.75

Interest earned

= Amount after 3 quarters - Invested amount

= 5,327.75 - 5,275

= $52.75

In conclusion, an interest of $52.75 was earned.

Find out more on compounding at https://brainly.com/question/25300240.

Answer: 4% divided by 4= 1% per quarter

after 3 quarters

Amount x ( 1 + rate(1%)) ^ number of periods (3)= 5,725 x ( 1 + 1%)³

= $5,327.75

Amount after 3 quarters - Invested amount

= 5,327.75 - 5,275

= $52.75 -interest earned