Solve A=4,000(1+0.054/4)^4(10)

$$A = 4,000 ( 1 + \frac { 0.054 } { 4 } ) ^ { 4 ( 10 ) }$$

Solve for A

$$A=6839.27572258286326257841759039603144196192106328173325411380371264752180068540693031096290193920711852022150244544334644255004294391619623638689517974853515625$$

Steps for Solving Linear Equation

Expand \frac{0.054}{4} by multiplying both numerator and the denominator by 1000.

$$A=4000\left(1+\frac{54}{4000}\right)^{4\times 10}$$

Reduce the fraction \frac{54}{4000} to lowest terms by extracting and canceling out 2.

$$A=4000\left(1+\frac{27}{2000}\right)^{4\times 10}$$

Add 1 and \frac{27}{2000} to get \frac{2027}{2000}.

$$A=4000\times \left(\frac{2027}{2000}\right)^{4\times 10}$$

Multiply 4 and 10 to get 40.

$$A=4000\times \left(\frac{2027}{2000}\right)^{40}$$

Calculate \frac{2027}{2000} to the power of 40 and get \frac{1879965795636490647220106507915653038810507074824229808679324442111007213401014601608789553542281571469743825131466444620259224146401}{1099511627776000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$A=4000\times \frac{1879965795636490647220106507915653038810507074824229808679324442111007213401014601608789553542281571469743825131466444620259224146401}{1099511627776000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Multiply 4000 and \frac{1879965795636490647220106507915653038810507074824229808679324442111007213401014601608789553542281571469743825131466444620259224146401}{1099511627776000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} to get \frac{1879965795636490647220106507915653038810507074824229808679324442111007213401014601608789553542281571469743825131466444620259224146401}{274877906944000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$A=\frac{1879965795636490647220106507915653038810507074824229808679324442111007213401014601608789553542281571469743825131466444620259224146401}{274877906944000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Assign A

$$A≔6839.27572258286326257841759039603144196192106328173325411380371264752180068540693031096290193920711852022150244544334644255004294391619623638689517974853515625$$