Answer with explanation:
Principal = $ 1000
Time = 2 years
Rate of Interest = 7 %
Since of rate of interest is compounded monthly,
then, [tex]R=\frac{7}{12}\\\\T=2 \times 12 =24[/tex]
Amount after 2 years
[tex]=P\times [1 +\frac{R}{100}]^T\\\\=1000 \times [1+\frac{7}{1200}]^{24}\\\\=1000 \times [\frac{1207}{1200}]^{24}\\\\=1000 \times (1.00583)^{24}\\\\=1000\times 1.14972\\\\=1149.72[/tex]
Amount after 2 years, when rate of interest, is compounded monthly=$ 1149.72