Solve 1200(1.0025)(1.0025^12-1)/0.0025

$$\frac{ 1200(1.0025)( { 1.0025 }^{ 12 } -1) }{ 0.0025 }$$

Evaluate

$$14636.15846677972242831246732367522716522216796875$$

Solution Steps

Multiply 1200 and 1.0025 to get 1203.

$$\frac{1203\left(1.0025^{12}-1\right)}{0.0025}$$

Calculate 1.0025 to the power of 12 and get 1.030415956913507320092087421703398227691650390625.

$$\frac{1203\left(1.030415956913507320092087421703398227691650390625-1\right)}{0.0025}$$

Subtract 1 from 1.030415956913507320092087421703398227691650390625 to get 0.030415956913507320092087421703398227691650390625.

$$\frac{1203\times 0.030415956913507320092087421703398227691650390625}{0.0025}$$

Multiply 1203 and 0.030415956913507320092087421703398227691650390625 to get 36.590396166949306070781168309188067913055419921875.

$$\frac{36.590396166949306070781168309188067913055419921875}{0.0025}$$

Expand \frac{36.590396166949306070781168309188067913055419921875}{0.0025} by multiplying both numerator and the denominator by 1000000000000000000000000000000000000000000000000.

$$\frac{36590396166949306070781168309188067913055419921875}{2500000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{36590396166949306070781168309188067913055419921875}{2500000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 59604644775390625.

$$\frac{613884980018480568999606949455603}{41943040000000000000000000000}$$

Factor

$$\frac{7 \cdot 13 \cdot 73 \cdot 89 \cdot 127 \cdot 401 \cdot 421 \cdot 24677 \cdot 68743 \cdot 352449337 \cdot 3 ^ {4}}{2 ^ {44} \cdot 5 ^ {22}} = 14636\frac{6.6465784805658235 \times 10^{27}}{4.194304 \times 10^{28}} = 14636.158466779721$$