4000×(1.01) ^72

asked by guest
on Nov 23, 2024 at 7:11 am



You asked:

Evaluate the expression: \(4000 \cdot {1.01}^{72}\)

MathBot Answer:

\[4000 \cdot {1.01}^{72} = \frac{2047099312100130925604518493851954900042329904085862073550146477291000381767810339475519724259070769264740956610748734245588350799326378665567201}{250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} \approx 8188.3972484005237024180739754078196\]

\[\begin{aligned}4000 \cdot {1.01}^{72}& = 4000 \cdot \left(1 + \frac{1}{100}\right)^{72}\\& = 4000 \cdot \left(\frac{101}{100}\right)^{72}\\& = 4000 \cdot \frac{2047099312100130925604518493851954900042329904085862073550146477291000381767810339475519724259070769264740956610748734245588350799326378665567201}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\\& = \frac{2047099312100130925604518493851954900042329904085862073550146477291000381767810339475519724259070769264740956610748734245588350799326378665567201}{250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\end{aligned}\]

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