Solve 1260/(1+0.62)[1-(1+0.02)^-30]/0.02

$$\frac { \frac { 1260 } { ( 1 + 0.62 ) [ 1 - ( 1 + 0.02 ) ^ { - 30 } ] } } { 0.02 }$$

Evaluate

$$\frac{9372010744815039112423083533941523194369454387994450000}{107948479921604074944450719444210596426643112834143}\approx 86819.293348284$$

Solution Steps

Express \frac{\frac{1260}{\left(1+0.62\right)\left(1-\left(1+0.02\right)^{-30}\right)}}{0.02} as a single fraction.

$$\frac{1260}{\left(1+0.62\right)\left(1-\left(1+0.02\right)^{-30}\right)\times 0.02}$$

Add 1 and 0.62 to get 1.62.

$$\frac{1260}{1.62\left(1-\left(1+0.02\right)^{-30}\right)\times 0.02}$$

Add 1 and 0.02 to get 1.02.

$$\frac{1260}{1.62\left(1-1.02^{-30}\right)\times 0.02}$$

Calculate 1.02 to the power of -30 and get \frac{931322574615478515625000000000000000000000000000000}{1686961934066707040236155036109474174986501789839001}.

$$\frac{1260}{1.62\left(1-\frac{931322574615478515625000000000000000000000000000000}{1686961934066707040236155036109474174986501789839001}\right)\times 0.02}$$

Subtract \frac{931322574615478515625000000000000000000000000000000}{1686961934066707040236155036109474174986501789839001} from 1 to get \frac{755639359451228524611155036109474174986501789839001}{1686961934066707040236155036109474174986501789839001}.

$$\frac{1260}{1.62\times \frac{755639359451228524611155036109474174986501789839001}{1686961934066707040236155036109474174986501789839001}\times 0.02}$$

Multiply 1.62 and \frac{755639359451228524611155036109474174986501789839001}{1686961934066707040236155036109474174986501789839001} to get \frac{755639359451228524611155036109474174986501789839001}{1041334527201671012491453725993502577152161598666050}.

$$\frac{1260}{\frac{755639359451228524611155036109474174986501789839001}{1041334527201671012491453725993502577152161598666050}\times 0.02}$$

Multiply \frac{755639359451228524611155036109474174986501789839001}{1041334527201671012491453725993502577152161598666050} and 0.02 to get \frac{755639359451228524611155036109474174986501789839001}{52066726360083550624572686299675128857608079933302500}.

$$\frac{1260}{\frac{755639359451228524611155036109474174986501789839001}{52066726360083550624572686299675128857608079933302500}}$$