Respuesta :

The annual interest rate is 8%.

Step-by-step explanation:

Step 1 :

Given that,

The Principal amount invested, P = $2400

The Simple interest earned = $ 144

The period of duration, n = 9 months = 9/12 year

step 2 :

To find the annual interest rate,  

Simple interest = Pnr / 100

                    144 = (2400[tex]\times[/tex](9/12)[tex]\times[/tex]r) / 100

                         r = 14400 / (200[tex]\times[/tex]9)

                         r = 14400 / 1800

                         r = 8

∴ The annual interest rate is 8%