Answer:
[tex]\$973.80[/tex]
Step-by-step explanation:
The complete question is
How much money will Alondra make if she invests $900 in an account that pays 8.2% interest compounded annually for one year?
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=1\ year\\ P=\$900\\ r=8.2\%=8.2/100=0.082\\n=1[/tex]
substitute in the formula above
[tex]A=900(1+\frac{0.082}{1})^{1*1}[/tex]
[tex]A=900(1.082)^{1}[/tex]
[tex]A=\$973.80[/tex]
