Answer:
[tex]\$1,875.74[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=0.5\ years\\ P=\$1,800\\ r=0.0825\\n=52[/tex]
substitute in the formula above [tex]A=\$1,800(1+\frac{0.0825}{52})^{52*0.5}=\$1,875.74[/tex]
