Jamar Hays

2022-09-14

How many years would it take for the debt of a compound interest loan to grow by 32% if the annual compound interest rate is 4.8%

Duncan Kaufman

Beginner2022-09-15Added 17 answers

Let initial amount is P

Amount,

$$A=P(1+\frac{4.8}{100}{)}^{t}\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{132}{100}=(\frac{104.8}{100}{)}^{t}\phantom{\rule{0ex}{0ex}}\Rightarrow 1.32=(1.048{)}^{t}\phantom{\rule{0ex}{0ex}}\mathrm{ln}1.32=t\mathrm{ln}(1.048)\phantom{\rule{0ex}{0ex}}t=5.92$$

Amount,

$$A=P(1+\frac{4.8}{100}{)}^{t}\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{132}{100}=(\frac{104.8}{100}{)}^{t}\phantom{\rule{0ex}{0ex}}\Rightarrow 1.32=(1.048{)}^{t}\phantom{\rule{0ex}{0ex}}\mathrm{ln}1.32=t\mathrm{ln}(1.048)\phantom{\rule{0ex}{0ex}}t=5.92$$

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