Solve S=(300)[(1.004)^24-1/0.004]

$$S = ( 300 ) [ \frac { ( 1.004 ) ^ { 24 } - 1 } { 0.004 } ]$$

Solve for S

$$S=7541.1225252840246438619252852763738713318468701576347846047567542484992$$

Steps for Solving Linear Equation

Calculate 1.004 to the power of 24 and get 1.100548300337120328584825670470351651617757958268768463794730090056646656.

$$S=300\times \frac{1.100548300337120328584825670470351651617757958268768463794730090056646656-1}{0.004}$$

Subtract 1 from 1.100548300337120328584825670470351651617757958268768463794730090056646656 to get 0.100548300337120328584825670470351651617757958268768463794730090056646656.

$$S=300\times \frac{0.100548300337120328584825670470351651617757958268768463794730090056646656}{0.004}$$

Expand \frac{0.100548300337120328584825670470351651617757958268768463794730090056646656}{0.004} by multiplying both numerator and the denominator by 1000000000000000000000000000000000000000000000000000000000000000000000000.

$$S=300\times \frac{100548300337120328584825670470351651617757958268768463794730090056646656}{4000000000000000000000000000000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{100548300337120328584825670470351651617757958268768463794730090056646656}{4000000000000000000000000000000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 281474976710656.

$$S=300\times \frac{357219321987828410360157500030992322655826705601954756001}{14210854715202003717422485351562500000000000000000000000}$$

Express 300\times \frac{357219321987828410360157500030992322655826705601954756001}{14210854715202003717422485351562500000000000000000000000} as a single fraction.

$$S=\frac{300\times 357219321987828410360157500030992322655826705601954756001}{14210854715202003717422485351562500000000000000000000000}$$

Multiply 300 and 357219321987828410360157500030992322655826705601954756001 to get 107165796596348523108047250009297696796748011680586426800300.

$$S=\frac{107165796596348523108047250009297696796748011680586426800300}{14210854715202003717422485351562500000000000000000000000}$$

Reduce the fraction \frac{107165796596348523108047250009297696796748011680586426800300}{14210854715202003717422485351562500000000000000000000000} to lowest terms by extracting and canceling out 100.

$$S=\frac{1071657965963485231080472500092976967967480116805864268003}{142108547152020037174224853515625000000000000000000000}$$

Assign S

$$S≔7541.1225252840246438619252852763738713318468701576347846047567542484992$$