The simple interest formula is :
[tex]A=P(1+rt)[/tex]where A is the future amount
P is the principal amount
r is the rate of interest
and
t is the time in years
From the problem, we have :
P = $21,370
r = 10% or 0.10
t = 171 days or 171/365 year
Using the formula above :
[tex]\begin{gathered} A=21370(1+0.10\times\frac{171}{365}) \\ A=22371.17 \end{gathered}[/tex]The answer is $22,371.17
