Solve A=3000(0.01(1.01)^24/101^24-1)

$$A = 3000 ( \frac { 0.01 ( 1.01 ) ^ { 24 } } { 101 ^ { 24 } - 1 } )$$

Solve for A

$$A=\frac{1269734648531914468903714880493455422104626762401}{42324488284397148963457162683115180736820892080000000000000000000000000000000000000000000000000}\approx 3 \cdot 10^{-47}$$

Steps for Solving Linear Equation

Calculate 1.01 to the power of 24 and get 1.269734648531914468903714880493455422104626762401.

$$A=3000\times \frac{0.01\times 1.269734648531914468903714880493455422104626762401}{101^{24}-1}$$

Multiply 0.01 and 1.269734648531914468903714880493455422104626762401 to get 0.01269734648531914468903714880493455422104626762401.

$$A=3000\times \frac{0.01269734648531914468903714880493455422104626762401}{101^{24}-1}$$

Calculate 101 to the power of 24 and get 1269734648531914468903714880493455422104626762401.

$$A=3000\times \frac{0.01269734648531914468903714880493455422104626762401}{1269734648531914468903714880493455422104626762401-1}$$

Subtract 1 from 1269734648531914468903714880493455422104626762401 to get 1269734648531914468903714880493455422104626762400.

$$A=3000\times \frac{0.01269734648531914468903714880493455422104626762401}{1269734648531914468903714880493455422104626762400}$$

Expand \frac{0.01269734648531914468903714880493455422104626762401}{1269734648531914468903714880493455422104626762400} by multiplying both numerator and the denominator by 100000000000000000000000000000000000000000000000000.

$$A=3000\times \frac{1269734648531914468903714880493455422104626762401}{126973464853191446890371488049345542210462676240000000000000000000000000000000000000000000000000000}$$

Express 3000\times \frac{1269734648531914468903714880493455422104626762401}{126973464853191446890371488049345542210462676240000000000000000000000000000000000000000000000000000} as a single fraction.

$$A=\frac{3000\times 1269734648531914468903714880493455422104626762401}{126973464853191446890371488049345542210462676240000000000000000000000000000000000000000000000000000}$$

Multiply 3000 and 1269734648531914468903714880493455422104626762401 to get 3809203945595743406711144641480366266313880287203000.

$$A=\frac{3809203945595743406711144641480366266313880287203000}{126973464853191446890371488049345542210462676240000000000000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{3809203945595743406711144641480366266313880287203000}{126973464853191446890371488049345542210462676240000000000000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 3000.

$$A=\frac{1269734648531914468903714880493455422104626762401}{42324488284397148963457162683115180736820892080000000000000000000000000000000000000000000000000}$$

Assign A

$$A≔\frac{1269734648531914468903714880493455422104626762401}{42324488284397148963457162683115180736820892080000000000000000000000000000000000000000000000000}$$