Question

Fill in the blanks:
(i) $A=P{\left(1+\frac{........}{100}\right)}^n.$
(ii) (Amount) - (Principal) = .........
(iii) If the value of a machine is Rs P and it depreciates at R% per annum, then its value after 2 years is .........
(iv) If the population P of a town increases at R% per annum, then its population after 5 years is .........

Answer 1

$$\begin{gathered} \left(\mathrm{i}\right)\mathit{}A=P{\left(1+\frac{R}{100}\right)}^n \\ \left(\mathrm{ii}\right)\mathrm{Compound}\mathrm{interest} \\ \left(\mathrm{iii}\right)A=P{\left(1-\frac{R}{100}\right)}^2,\mathrm{where}A\mathrm{is}\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{the}\mathrm{machine}\mathrm{after}2\mathrm{years} \\ \left(\mathrm{iv}\right)\mathit{}A=\mathit{}P{\left(1+\frac{R}{100}\right)}^5,\mathrm{where}A\mathrm{is}\mathrm{the}\mathrm{population}\mathrm{of}\mathrm{the}\mathrm{town}\mathrm{after}5\mathrm{years} \end{gathered}$$