3500 over 1.075^6

asked by guest
on Feb 01, 2025 at 2:43 am



You asked:

Evaluate the expression: 35001.0756\frac{3500}{{1.075}^{6}}

MathBot Answer:

35001.0756=143360000000006321363049≈2267.86531462828500486588648074340335\frac{3500}{{1.075}^{6}} = \frac{14336000000000}{6321363049} \approx 2267.86531462828500486588648074340335

35001.0756=3500⋅1(1+751000)6=3500⋅1(1+340)6=3500⋅1(4340)6=3500⋅163213630494096000000=143360000000006321363049\begin{aligned}\frac{3500}{{1.075}^{6}}& = 3500 \cdot \frac{1}{\left(1 + \frac{75}{1000}\right)^{6}}\\& = 3500 \cdot \frac{1}{\left(1 + \frac{3}{40}\right)^{6}}\\& = 3500 \cdot \frac{1}{\left(\frac{43}{40}\right)^{6}}\\& = 3500 \cdot \frac{1}{\frac{6321363049}{4096000000}}\\& = \frac{14336000000000}{6321363049}\end{aligned}

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