17,000 * (1 + 0.0525/2)^(2*1)

asked by guest
on Feb 01, 2025 at 2:30 pm



You asked:

Evaluate the expression: 17,000(1+0.05252)2⋅117,000 {\left( 1 + \frac{0.0525}{2} \right)}^{2 \cdot 1}

MathBot Answer:

17,000(1+0.05252)2⋅1=11458697640=17904.214062517,000 {\left( 1 + \frac{0.0525}{2} \right)}^{2 \cdot 1} = \frac{11458697}{640} = 17904.2140625

17,000(1+0.05252)2⋅1=17000⋅(1+52510000⋅12)2⋅1=17000⋅(1+52520000)2⋅1=17000⋅(1+21800)2⋅1=17000⋅(821800)2⋅1=17000⋅(821800)2=17000⋅674041640000=11458697640\begin{aligned}17,000 {\left( 1 + \frac{0.0525}{2} \right)}^{2 \cdot 1}& = 17000 \cdot \left(1 + \frac{525}{10000} \cdot \frac{1}{2}\right)^{2 \cdot 1}\\& = 17000 \cdot \left(1 + \frac{525}{20000}\right)^{2 \cdot 1}\\& = 17000 \cdot \left(1 + \frac{21}{800}\right)^{2 \cdot 1}\\& = 17000 \cdot \left(\frac{821}{800}\right)^{2 \cdot 1}\\& = 17000 \cdot \left(\frac{821}{800}\right)^{2}\\& = 17000 \cdot \frac{674041}{640000}\\& = \frac{11458697}{640}\end{aligned}

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