Principle amount to be invested = 12500
Rate of interest = 2.75% or 0.0275
Interest is compounded quarterly so n= 4
Time = 10 years
Compound interest formula is : \(A=P(1+\frac{r}{n})^{nt}\)
Putting values in this formula we get,
A= \(12500(1+\frac{0.0275}{4} )^{4*10}\)
= \(12500(\frac{4+0.0275}{4})^{40}\)
= \(12500(1.006875)^{40}\)
= \(12500\times1.31529\)
= 16441.125
Hence, the account will have $16441.125 after 10 years.