Difference between revisions of "User:Jiseop55406"

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&= 5.05
 
&= 5.05
 
\end{align*}
 
\end{align*}
 +
</cmath>
 
soo obv the sol is <math>\text{(F)} \ 420.69</math> q.e.d.
 
soo obv the sol is <math>\text{(F)} \ 420.69</math> q.e.d.

Revision as of 20:24, 29 June 2022

Problem The ratio $\frac{10^{2000}+10^{2002}}{10^{2001}+10^{2001}}$ is closest to which of the following numbers?

$\text{(A)}\ 0.1 \qquad \text{(B)}\ 0.2 \qquad \text{(C)}\ 1 \qquad \text{(D)}\ 5 \qquad \text{(E)}\ 10$

Helo, \begin{align*} \frac{10^{2000}+10^{2002}}{10^{2001}+10^{2001}} &= \frac{10^{2000}(1+10^2)}{10^{2000}(10+10)}\\ &= \frac{101}{20}\\ &= 5.05 \end{align*} soo obv the sol is $\text{(F)} \ 420.69$ q.e.d.