다음을 풀어보세요: 20,000(0.07/12)/[1-(1+frac{0.07{12})^-36]}

$$\frac { 20,000 ( \frac { 0.07 } { 12 } ) } { [ 1 - ( 1 + \frac { 0.07 } { 12 } ) ^ { - 36 } ] }$$

계산

$$\frac{43694998406037084299810227910543317447982632863504270673778384615687496228938935854511965268724225622205845960050}{70756325629564217406368679086270223318708281687179462918100439563035681962333735895816845160493362476050108229}\approx 617.541937307$$

해답 단계

분자와 분모 모두에 100을(를) 곱하여 \frac{0.07}{12}을(를) 확장합니다.

$$\frac{20000\times \frac{7}{1200}}{1-\left(1+\frac{0.07}{12}\right)^{-36}}$$

20000과(와) \frac{7}{1200}을(를) 곱하여 \frac{350}{3}(을)를 구합니다.

$$\frac{\frac{350}{3}}{1-\left(1+\frac{0.07}{12}\right)^{-36}}$$

분자와 분모 모두에 100을(를) 곱하여 \frac{0.07}{12}을(를) 확장합니다.

$$\frac{\frac{350}{3}}{1-\left(1+\frac{7}{1200}\right)^{-36}}$$

1과(와) \frac{7}{1200}을(를) 더하여 \frac{1207}{1200}을(를) 구합니다.

$$\frac{\frac{350}{3}}{1-\left(\frac{1207}{1200}\right)^{-36}}$$

\frac{1207}{1200}의 -36제곱을 계산하여 \frac{708801874985091845381344307009569161216000000000000000000000000000000000000000000000000000000000000000000000000}{873899968120741685996204558210866348959652657270085413475567692313749924578778717090239305374484512444116919201}을(를) 구합니다.

$$\frac{\frac{350}{3}}{1-\frac{708801874985091845381344307009569161216000000000000000000000000000000000000000000000000000000000000000000000000}{873899968120741685996204558210866348959652657270085413475567692313749924578778717090239305374484512444116919201}}$$

1에서 \frac{708801874985091845381344307009569161216000000000000000000000000000000000000000000000000000000000000000000000000}{873899968120741685996204558210866348959652657270085413475567692313749924578778717090239305374484512444116919201}을(를) 빼고 \frac{165098093135649840614860251201297187743652657270085413475567692313749924578778717090239305374484512444116919201}{873899968120741685996204558210866348959652657270085413475567692313749924578778717090239305374484512444116919201}을(를) 구합니다.

$$\frac{\frac{350}{3}}{\frac{165098093135649840614860251201297187743652657270085413475567692313749924578778717090239305374484512444116919201}{873899968120741685996204558210866348959652657270085413475567692313749924578778717090239305374484512444116919201}}$$

\frac{350}{3}에 \frac{165098093135649840614860251201297187743652657270085413475567692313749924578778717090239305374484512444116919201}{873899968120741685996204558210866348959652657270085413475567692313749924578778717090239305374484512444116919201}의 역수를 곱하여 \frac{350}{3}을(를) \frac{165098093135649840614860251201297187743652657270085413475567692313749924578778717090239305374484512444116919201}{873899968120741685996204558210866348959652657270085413475567692313749924578778717090239305374484512444116919201}(으)로 나눕니다.

$$\frac{350}{3}\times \frac{873899968120741685996204558210866348959652657270085413475567692313749924578778717090239305374484512444116919201}{165098093135649840614860251201297187743652657270085413475567692313749924578778717090239305374484512444116919201}$$

\frac{350}{3}과(와) \frac{873899968120741685996204558210866348959652657270085413475567692313749924578778717090239305374484512444116919201}{165098093135649840614860251201297187743652657270085413475567692313749924578778717090239305374484512444116919201}을(를) 곱하여 \frac{43694998406037084299810227910543317447982632863504270673778384615687496228938935854511965268724225622205845960050}{70756325629564217406368679086270223318708281687179462918100439563035681962333735895816845160493362476050108229}(을)를 구합니다.

$$\frac{43694998406037084299810227910543317447982632863504270673778384615687496228938935854511965268724225622205845960050}{70756325629564217406368679086270223318708281687179462918100439563035681962333735895816845160493362476050108229}$$