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Category: Arithmetic

A-man-borrowed-x-at-5-per-annum-simple-interest-He-paid-198000-after-2years-Calculate-a-the-value-of-x-b-simple-interest-

Question Number 44222 by Necxx last updated on 23/Sep/18 $${A}\:{man}\:{borrowed}\:{x}\:{at}\:\mathrm{5\%}\:{per}\:{annum} \\ $$$${simple}\:{interest}.{He}\:{paid}\:\mathrm{198000}\: \\ $$$${after}\:\mathrm{2}{years}.{Calculate}\:_{} \\ $$$$\left.{a}\right){the}\:{value}\:{of}\:{x} \\ $$$$\left.{b}\right){simple}\:{interest} \\ $$ Answered by olj55336@awsoo.com last updated…

If-20-mod-9-is-equivalent-to-y-mod-6-Find-y-

Question Number 175103 by Tawa11 last updated on 19/Aug/22 $$\mathrm{If}\:\:\mathrm{20}\:\left(\mathrm{mod}\:\mathrm{9}\right)\:\:\mathrm{is}\:\mathrm{equivalent}\:\mathrm{to}\:\:\:\mathrm{y}\:\left(\mathrm{mod}\:\mathrm{6}\right).\:\:\mathrm{Find}\:\:\mathrm{y} \\ $$ Answered by Rasheed.Sindhi last updated on 19/Aug/22 $$\mathrm{20}\left(\mathrm{mod}\:\mathrm{9}\right)=\mathrm{11} \\ $$$$\mathrm{y}\equiv\mathrm{11}\left(\mathrm{mod}\:\mathrm{6}\right) \\ $$$$\mathrm{y}\equiv\mathrm{11}−\mathrm{6}=\mathrm{5}\left(\mathrm{mod}\:\mathrm{6}\right) \\…

Question-175004

Question Number 175004 by saboorhalimi last updated on 15/Aug/22 Commented by kaivan.ahmadi last updated on 15/Aug/22 $${s}_{\mathrm{9}} =\mathrm{6}{s}_{\mathrm{6}} \Rightarrow\frac{\mathrm{9}}{\mathrm{2}}\left(\mathrm{2}{a}+\mathrm{8}{d}\right)=\mathrm{6}×\mathrm{3}\left(\mathrm{2}{a}+\mathrm{5}{d}\right) \\ $$$$\Rightarrow\mathrm{9}{a}+\mathrm{36}{d}=\mathrm{36}{a}+\mathrm{90}{d} \\ $$$$\Rightarrow−\mathrm{27}{a}=\mathrm{54}{d}\Rightarrow\mathrm{d}=\frac{−\mathrm{1}}{\mathrm{2}}\mathrm{a} \\ $$$$\mathrm{so}…

sum-of-the-all-proper-factors-of-360-

Question Number 174939 by BaliramKumar last updated on 14/Aug/22 $$\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{all}\:\mathrm{proper}\:\mathrm{factors}\:\mathrm{of}\:\mathrm{360}\:? \\ $$ Answered by JDamian last updated on 14/Aug/22 $$\mathrm{360}=\mathrm{2}^{\mathrm{3}} ×\mathrm{3}^{\mathrm{2}} ×\mathrm{5} \\ $$$$\frac{\mathrm{2}^{\mathrm{3}+\mathrm{1}} −\mathrm{1}}{\mathrm{2}−\mathrm{1}}×\frac{\mathrm{3}^{\mathrm{2}+\mathrm{1}}…

The-value-of-3-20-14-2-3-20-14-2-is-

Question Number 43793 by gunawan last updated on 15/Sep/18 $$\mathrm{The}\:\mathrm{value}\:\mathrm{of}\:\:^{\mathrm{3}} \sqrt{\mathrm{20}+\mathrm{14}\sqrt{\mathrm{2}}}+^{\mathrm{3}} \sqrt{\mathrm{20}−\mathrm{14}\sqrt{\mathrm{2}}}\:\mathrm{is}\ldots \\ $$ Answered by Joel578 last updated on 15/Sep/18 $$\mathrm{Let}\:{a}\:=\:\mathrm{20}\:+\:\mathrm{14}\sqrt{\mathrm{2}} \\ $$$$\:\:\:\:\:\:\:\:\:\:{b}\:=\:\mathrm{20}\:−\:\mathrm{14}\sqrt{\mathrm{2}} \\…

Question-109305

Question Number 109305 by peter frank last updated on 22/Aug/20 Answered by Aziztisffola last updated on 22/Aug/20 $$\:\mathrm{let}\:\mathrm{A}\left(\mathrm{4};\mathrm{0}\right)\:\mathrm{and}\:\mathrm{P}\left({x};{y}\right)\in\mathscr{C}\left(\mathrm{o};\mathrm{2}\right) \\ $$$$\Rightarrow{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{4}\:\Rightarrow\:{y}=\underset{−} {+}\sqrt{\mathrm{4}−{x}^{\mathrm{2}} } \\…

Question-109302

Question Number 109302 by peter frank last updated on 22/Aug/20 Answered by Dwaipayan Shikari last updated on 22/Aug/20 $${x}=\left(\mathrm{10}−{y}\right) \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} ={y}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{20}{y}+\mathrm{100}=\mathrm{2}\left({y}−\mathrm{5}\right)^{\mathrm{2}}…