Answer
After 2 years: 2217.72
After 5 years: 2589.52
Work Step by Step
2000, compounded quarterly, 5.2%
2 years:
$A = P*(1+(r/n))^{nt}$
$A = 2000*(1+(.052/4))^{4*2}$
$A = 2000*(1+.013))^{4*2}$
$A = 2000*(1.013))^8$
$A = 2000*1.013^8$
$A = 2000*1.108857$
$A = 2217.714$
5 years:
$A = P*(1+(r/n))^{nt}$
$A = 2000*(1+(.052/4))^{5*4}$
$A = 2000*(1+.013))^{5*4}$
$A = 2000*(1.013))^{20}$
$A = 2000*1.013^{20}$
$A = 2000*1.2947589$
$A = 2589.52$
