Difference between revisions of "User:Jiseop55406"

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\end{align*}
 
\end{align*}
 
</cmath>
 
</cmath>
soo basicly the ansiwer is obviously <math>\text{(F)} \ 420.69</math>. q.e.d.<math>\blacksquare</math>
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soo basicly the ansiwer is obviously <math>\text{(F)} \ 420.69</math>. q.e.d.<math>\blacksquare</math> <math>\square</math>

Revision as of 20:55, 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 basicly the ansiwer is obviously $\text{(F)} \ 420.69$. q.e.d.$\blacksquare$ $\square$