Solve A=30000.011.01^24/1.01^24-1

$$A = 3000 \frac{ 0.01 { 1.01 }^{ 24 } }{ { 1.01 }^{ 24 } -1 }$$

Solve for A

$$A = \frac{12697346485319144689037148804934554221046267624010}{89911549510638156301238293497818474034875587467} = 141\frac{1.9818004319164138 \times 10^{46}}{8.991154951063816 \times 10^{46}} \approx 141.22041667$$

Steps for Solving Linear Equation

Calculate 1.01 to the power of 24 and get 1.269734648531914468903714880493455422104626762401.

$$A=3000\times \frac{0.01\times 1.269734648531914468903714880493455422104626762401}{1.01^{24}-1}$$

Multiply 0.01 and 1.269734648531914468903714880493455422104626762401 to get 0.01269734648531914468903714880493455422104626762401.

$$A=3000\times \frac{0.01269734648531914468903714880493455422104626762401}{1.01^{24}-1}$$

Calculate 1.01 to the power of 24 and get 1.269734648531914468903714880493455422104626762401.

$$A=3000\times \frac{0.01269734648531914468903714880493455422104626762401}{1.269734648531914468903714880493455422104626762401-1}$$

Subtract 1 from 1.269734648531914468903714880493455422104626762401 to get 0.269734648531914468903714880493455422104626762401.

$$A=3000\times \frac{0.01269734648531914468903714880493455422104626762401}{0.269734648531914468903714880493455422104626762401}$$

Expand \frac{0.01269734648531914468903714880493455422104626762401}{0.269734648531914468903714880493455422104626762401} by multiplying both numerator and the denominator by 100000000000000000000000000000000000000000000000000.

$$A=3000\times \frac{1269734648531914468903714880493455422104626762401}{26973464853191446890371488049345542210462676240100}$$

Express 3000\times \frac{1269734648531914468903714880493455422104626762401}{26973464853191446890371488049345542210462676240100} as a single fraction.

$$A=\frac{3000\times 1269734648531914468903714880493455422104626762401}{26973464853191446890371488049345542210462676240100}$$

Multiply 3000 and 1269734648531914468903714880493455422104626762401 to get 3809203945595743406711144641480366266313880287203000.

$$A=\frac{3809203945595743406711144641480366266313880287203000}{26973464853191446890371488049345542210462676240100}$$

Reduce the fraction \frac{3809203945595743406711144641480366266313880287203000}{26973464853191446890371488049345542210462676240100} to lowest terms by extracting and canceling out 300.

$$A=\frac{12697346485319144689037148804934554221046267624010}{89911549510638156301238293497818474034875587467}$$

Assign A

$$A≔\frac{12697346485319144689037148804934554221046267624010}{89911549510638156301238293497818474034875587467}$$