The money will she have after four years is $276.26, the correct option is D.
Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Given
Sophia puts $250 in the bank with a 2.5% annual interest rate compounded monthly.
The compound interest is given by;
[tex]\rm Amount = Principal ( 1+\dfrac{Rate }{12})^{12\times Time}[/tex]
Substitute all the values in the formula
[tex]\rm Amount = Principal ( 1+\dfrac{Rate }{12})^{12\times Time}\\\\Amount =250(1+\dfrac{0.025}{12})^{12\times 4}\\\\Amount =250(1.002)^{48}\\\\Amount = 250 \times 1.10\\\\Amount=276.26[/tex]
Hence, the money will she have after four years is $276.26.
To know more about compound interest click the link is given below.
https://brainly.com/question/1758222
