4000×(1.01) ^72

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



You asked:

Evaluate the expression: 4000⋅1.01724000 \cdot {1.01}^{72}

MathBot Answer:

4000⋅1.0172=2047099312100130925604518493851954900042329904085862073550146477291000381767810339475519724259070769264740956610748734245588350799326378665567201250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000≈8188.39724840052370241807397540781964000 \cdot {1.01}^{72} = \frac{2047099312100130925604518493851954900042329904085862073550146477291000381767810339475519724259070769264740956610748734245588350799326378665567201}{250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} \approx 8188.3972484005237024180739754078196

4000⋅1.0172=4000(101100)72=4000⋅20470993121001309256045184938519549000423299040858620735501464772910003817678103394755197242590707692647409566107487342455883507993263786655672011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000=2047099312100130925604518493851954900042329904085862073550146477291000381767810339475519724259070769264740956610748734245588350799326378665567201250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\begin{aligned}4000 \cdot {1.01}^{72}&=4000 {\left( \frac{101}{100} \right)}^{72}\\&=4000 \cdot \frac{2047099312100130925604518493851954900042329904085862073550146477291000381767810339475519724259070769264740956610748734245588350799326378665567201}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\\&=\frac{2047099312100130925604518493851954900042329904085862073550146477291000381767810339475519724259070769264740956610748734245588350799326378665567201}{250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\end{aligned}

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