28.900*(1+0.019)^42

asked by guest
on Oct 21, 2024 at 2:46 am



You asked:

Evaluate the expression: \(28.900 \cdot {\left( 1 + 0.019 \right)}^{42}\)

MathBot Answer:

\[28.900 \cdot {\left( 1 + 0.019 \right)}^{42} = \frac{637108751963130981938907257137957607139293876895975237192551325849304444139031997031657080397980285386429114811515303729676351129}{10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} \approx 63.71087519631309819389072571379576\]

\[\begin{aligned}28.900 \cdot {\left( 1 + 0.019 \right)}^{42}& = \left(28 + \frac{9}{10}\right) \cdot \left(1 + \frac{19}{1000}\right)^{42}\\& = \frac{289}{10} \cdot \left(1 + \frac{19}{1000}\right)^{42}\\& = \frac{289}{10} \cdot \left(\frac{1019}{1000}\right)^{42}\\& = \frac{289}{10} \cdot \frac{2204528553505643536120786356878746045464684695141782827655886940655032678681771616026495087882284724520515968205935307023101561}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\\& = \frac{637108751963130981938907257137957607139293876895975237192551325849304444139031997031657080397980285386429114811515303729676351129}{10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\end{aligned}\]

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