a)
300,000=15,000∗1.07n300,000=15,000*1.07^n300,000=15,000∗1.07n
20=1.07n20=1.07^n20=1.07n
1.0745=211.07^{45}=211.0745=21
1.0744=19.631.07^{44}=19.631.0744=19.63
After 45 years
b)
5,000∗1.053=5,788.1255,000*1.05^3=5,788.1255,000∗1.053=5,788.125
(5,788.125−3,000)∗1.052=3,073.91(5,788.125-3,000)*1.05^2=3,073.91(5,788.125−3,000)∗1.052=3,073.91
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