Part (1)
Equal-payment-series compound-amount factor
(F/A,i,n)=(1+i)n−1i
(F/A,2.5%,10)=(1+0.025)10−10.025
(F/A,2.5%,10)=11.2034
Part (2)
Amount of investment after 10 years
F=A(F/A,i,n)
F=250,000(F/A,2.5%,10)
F=P2,800,845.44
Part (3)
Number of years for the investment to grow to P10,000,000.00
F=A[(1+i)n−1]i
10,000,000=250,000[(1+0.025)t−1]0.025
1.025t=2
tlog1.025=log2
t=28.07 years