Question Number 107187 by Dwaipayan Shikari last updated on 09/Aug/20 $$\mathrm{Prove}\:\mathrm{that} \\ $$$$\sqrt{\mathrm{8}}=\mathrm{1}+\frac{\mathrm{3}}{\mathrm{4}}+\frac{\mathrm{3}.\mathrm{5}}{\mathrm{4}.\mathrm{8}}+\frac{\mathrm{3}.\mathrm{5}.\mathrm{7}}{\mathrm{4}.\mathrm{8}.\mathrm{12}}+…… \\ $$ Commented by john santu last updated on 09/Aug/20 $$\sqrt{\mathrm{8}}\:=\:\sqrt{\mathrm{9}−\mathrm{1}}\:=\:\left(\mathrm{9}−\mathrm{1}\right)^{\frac{\mathrm{1}}{\mathrm{2}}} \\…
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Question Number 107178 by 175mohamed last updated on 09/Aug/20 Commented by mr W last updated on 09/Aug/20 $$=\frac{\sqrt{\mathrm{3}}−\mathrm{1}}{\mathrm{2}}+\frac{\sqrt{\mathrm{5}}−\sqrt{\mathrm{3}}}{\mathrm{2}}+…+\frac{\sqrt{\mathrm{169}}−\sqrt{\mathrm{167}}}{\mathrm{2}} \\ $$$$=\frac{\sqrt{\mathrm{169}}−\mathrm{1}}{\mathrm{2}} \\ $$$$=\mathrm{6} \\ $$ Answered…
Question Number 41642 by Tawa1 last updated on 10/Aug/18 $$\mathrm{n}\left(\mathrm{n}\:−\:\mathrm{1}\right)\left(\mathrm{n}\:−\:\mathrm{2}\right)\left(\mathrm{n}\:−\:\mathrm{3}\right)\:….\:\left(\mathrm{n}\:−\:\mathrm{r}\:+\:\mathrm{1}\right)\:=\:?? \\ $$ Answered by alex041103 last updated on 10/Aug/18 $$=\frac{{n}!}{\left({n}−{r}\right)!} \\ $$ Commented by Tawa1…
Question Number 172692 by mnjuly1970 last updated on 30/Jun/22 Answered by som(math1967) last updated on 30/Jun/22 Commented by som(math1967) last updated on 30/Jun/22 $${let}\:\angle{ABC}=\theta\:\:{side}\:{of}\:{square}={a} \\…
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Question Number 107101 by Dwaipayan Shikari last updated on 08/Aug/20 $$\mathrm{Fun}\:\mathrm{time} \\ $$$$ \\ $$$$\mathrm{1}+\mathrm{2x}+\mathrm{3x}^{\mathrm{2}} +\mathrm{4x}^{\mathrm{3}} +….=\frac{\mathrm{1}}{\left(\mathrm{1}−\mathrm{x}\right)^{\mathrm{2}} } \\ $$$$\mathrm{1}+\mathrm{4}+\mathrm{12}+\mathrm{32}+…=\frac{\mathrm{1}}{\left(\mathrm{1}−\mathrm{2}\right)^{\mathrm{2}} } \\ $$$$\mathrm{4}+\mathrm{12}+\mathrm{32}+….=\mathrm{0}\:\:\left(\mathrm{No}\:\mathrm{1}\:\mathrm{fun}\right) \\ $$$$…
Question Number 107092 by 175mohamed last updated on 08/Aug/20 Commented by Dwaipayan Shikari last updated on 08/Aug/20 $$\mathrm{S}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$ Commented by hgrocks last updated…
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Question Number 41508 by psyche-ace last updated on 08/Aug/18 $${A}\:\boldsymbol{\mathrm{facial}}\:\boldsymbol{\mathrm{surgery}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{estimated}}\:\boldsymbol{\mathrm{to}}\:\boldsymbol{\mathrm{cost}}\:\boldsymbol{\mathrm{N}}\mathrm{25}\boldsymbol{\mathrm{millon}}\:\boldsymbol{\mathrm{in}}\:\mathrm{10}\:\boldsymbol{\mathrm{years}}\:\boldsymbol{\mathrm{time}}.\: \\ $$$$\mathrm{A}\:\mathrm{50}\:\boldsymbol{\mathrm{years}}\:\boldsymbol{\mathrm{old}}\:\boldsymbol{\mathrm{woman}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{expecting}}\:\boldsymbol{\mathrm{to}}\:\boldsymbol{\mathrm{go}}\:\boldsymbol{\mathrm{on}}\:\boldsymbol{\mathrm{retirement}}\:\boldsymbol{\mathrm{at}}\:\mathrm{55}\boldsymbol{\mathrm{years}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{planning}}\:\boldsymbol{\mathrm{to}}\:\boldsymbol{\mathrm{generate}}\:\boldsymbol{\mathrm{funds}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{surgery}}\:\boldsymbol{\mathrm{at}}\:\boldsymbol{\mathrm{her}}\:\boldsymbol{\mathrm{retirement}}. \\ $$$$\boldsymbol{\mathrm{ow}}\:\boldsymbol{\mathrm{much}}\:\boldsymbol{\mathrm{should}}\:\boldsymbol{\mathrm{she}}\:\boldsymbol{\mathrm{set}}\:\boldsymbol{\mathrm{aside}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{surgery}}\:\boldsymbol{\mathrm{if}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{interest}}\:\boldsymbol{\mathrm{rate}}\:\boldsymbol{\mathrm{is}}\:\mathrm{14}.\mathrm{75\%}\:\boldsymbol{\mathrm{at}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{time}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{retirement}}?\: \\ $$$$\boldsymbol{\mathrm{what}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{present}}\:\boldsymbol{\mathrm{value}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{cost}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{surgery}}?\left(\boldsymbol{\mathrm{as}}\:\boldsymbol{\mathrm{at}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{time}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{woman}}\:\boldsymbol{\mathrm{is}}\:\mathrm{50}\boldsymbol{\mathrm{years}}\:\boldsymbol{\mathrm{given}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{interest}}\:\boldsymbol{\mathrm{rate}}\:\boldsymbol{\mathrm{at}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{time}}\:\boldsymbol{\mathrm{is}}\:\mathrm{11}.\mathrm{5\%}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com