53,78,989.42×(1+0.055)^25

asked by guest
on Sep 22, 2024 at 10:08 pm



MathBot Answer:

The sum of \(53\) and \(78,989.42 \cdot {\left( 1 + 0.055 \right)}^{25}\) is:

\[\begin{aligned}&=\left(53\right) + \left(78,989.42 \cdot {\left( 1 + 0.055 \right)}^{25}\right) \\\\ &= 53 + \left(42 \cdot \frac{1}{100} + 78989\right) \left(55 \cdot \frac{1}{1000} + 1\right)^{25} \\\\ &= \frac{50544827669938962602791751884814565847619450864074541791905802221}{167772160000000000000000000000000000000000000000000000000000} \\\\\end{aligned}\]


The difference of \(53\) and \(78,989.42 \cdot {\left( 1 + 0.055 \right)}^{25}\) is:

\[\begin{aligned}&=\left(53\right) - \left(78,989.42 \cdot {\left( 1 + 0.055 \right)}^{25}\right) \\\\ &= - \left(42 \cdot \frac{1}{100} + 78989\right) \left(55 \cdot \frac{1}{1000} + 1\right)^{25} + 53 \\\\ &= - \frac{50527043820978962602791751884814565847619450864074541791905802221}{167772160000000000000000000000000000000000000000000000000000} \\\\\end{aligned}\]


The product of \(53\) and \(78,989.42 \cdot {\left( 1 + 0.055 \right)}^{25}\) is:

\[\begin{aligned}&=\left(53\right) \cdot \left(78,989.42 \cdot {\left( 1 + 0.055 \right)}^{25}\right) \\\\ &= 53 \cdot \left(42 \cdot \frac{1}{100} + 78989\right) \left(55 \cdot \frac{1}{1000} + 1\right)^{25} \\\\ &= \frac{2678404594509325017947962849895171989923830895795950714971007517713}{167772160000000000000000000000000000000000000000000000000000} \\\\\end{aligned}\]


The quotient of \(53\) and \(78,989.42 \cdot {\left( 1 + 0.055 \right)}^{25}\) is:

\[\begin{aligned}&= \frac{\left(53\right)}{\left(78,989.42 \cdot {\left( 1 + 0.055 \right)}^{25}\right)} \\\\ &= \frac{53}{\left(42 \cdot \frac{1}{100} + 78989\right) \left(55 \cdot \frac{1}{1000} + 1\right)^{25}} \\\\ &= \frac{8891924480000000000000000000000000000000000000000000000000000}{50535935745458962602791751884814565847619450864074541791905802221} \\\\\end{aligned}\]