Respuesta :

Answer:

[tex]r=3.8\%[/tex]

Step-by-step explanation:

we know that

The simple interest formula is equal to

[tex]I=P(rt)[/tex]

where

I is the interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

[tex]t=(91/365)\ years\\ P=\$2,400\\ I=\$22.74\\r=?[/tex]

substitute in the formula above

[tex]22.74=2,400(91/365)r[/tex]

[tex]22.74*365=2,400(91)r[/tex]

[tex]r=22.74*365/[2,400(91)][/tex]

[tex]r=0.038[/tex]

[tex]r=3.8\%[/tex]