Found problems: 8
2000 AMC 8, 22
A cube has edge length $2$. Suppose that we glue a cube of edge length $1$ on top of the big cube so that one of its faces rests entirely on the top face of the larger cube. The percent increase in the surface area (sides, top, and bottom) from the original cube to the new solid formed is closest to
[asy]
draw((0,0)--(2,0)--(3,1)--(3,3)--(2,2)--(0,2)--cycle);
draw((2,0)--(2,2));
draw((0,2)--(1,3));
draw((1,7/3)--(1,10/3)--(2,10/3)--(2,7/3)--cycle);
draw((2,7/3)--(5/2,17/6)--(5/2,23/6)--(3/2,23/6)--(1,10/3));
draw((2,10/3)--(5/2,23/6));
draw((3,3)--(5/2,3));
[/asy]
$\text{(A)}\ 10 \qquad \text{(B)}\ 15 \qquad \text{(C)}\ 17 \qquad \text{(D)}\ 21 \qquad \text{(E)}\ 25$
1993 AMC 12/AHSME, 5
Last year a bicycle cost $\$160$ and a cycling helmet cost $ \$ 40$. This year the cost of the bicycle increased by $5\%$, and the cost of the helmet increased by $10\%$. The percent increase in the combined cost of the bicycle and the helmet is
$ \textbf{(A)}\ 6\% \qquad\textbf{(B)}\ 7\% \qquad\textbf{(C)}\ 7.5\% \qquad\textbf{(D)}\ 8\% \qquad\textbf{(E)}\ 15\% $
2005 Purple Comet Problems, 11
The work team was working at a rate fast enough to process $1250$ items in ten hours. But after working for six hours, the team was given an additional $150$ items to process. By what percent does the team need to increase its rate so that it can still complete its work within the ten hours?
2005 Purple Comet Problems, 13
The work team was working at a rate fast enough to process $1250$ items in ten hours. But after working for six hours, the team was given an additional $165$ items to process. By what percent does the team need to increase its rate so that it can still complete its work within the ten hours?
2011 AMC 10, 19
In $1991$ the population of a town was a perfect square. Ten years later, after an increase of $150$ people, the population was $9$ more than a perfect square. Now, in $2011$, with an increase of another $150$ people, the population is once again a perfect square. Which of the following is closest to the percent growth of the town's population during this twenty-year period?
$ \textbf{(A)}\ 42 \qquad\textbf{(B)}\ 47 \qquad\textbf{(C)}\ 52\qquad\textbf{(D)}\ 57\qquad\textbf{(E)}\ 62 $
2001 AMC 8, 17
For the game show Who Wants To Be A Millionaire?, the dollar values of each question are shown in the following table (where K = 1000).
\[ \begin{tabular}{rccccccccccccccc}\text{Question}& 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15\\ \text{Value}& 100 & 200 & 300 & 500 & 1\text{K}& 2\text{K}& 4\text{K}& 8\text{K}& 16\text{K}& 32\text{K}& 64\text{K}& 125\text{K}& 250\text{K}& 500\text{K}& 1000\text{K}\end{tabular} \]
Between which two questions is the percent increase of the value the smallest?
$ \text{(A)}\ \text{From 1 to 2}\qquad\text{(B)}\ \text{From 2 to 3}\qquad\text{(C)}\ \text{From 3 to 4}\qquad\text{(D)}\ \text{From 11 to 12}\qquad\text{(E)}\ \text{From 14 to 15} $
2010 Purple Comet Problems, 4
Sally's salary in 2006 was $\$37,500$. For 2007 she got a salary increase of $x$ percent. For 2008 she got another salary increase of $x$ percent. For 2009 she got a salary decrease of $2x$ percent. Her 2009 salary is $\$34,825$. Suppose instead, Sally had gotten a $2x$ percent salary decrease for 2007, an $x$ percent salary increase for 2008, and an $x$ percent salary increase for 2009. What would her 2009 salary be then?
1959 AMC 12/AHSME, 1
Each edge of a cube is increased by $50 \%$. The percent of increase of the surface area of the cube is:
$ \textbf{(A)}\ 50 \qquad\textbf{(B)}\ 125\qquad\textbf{(C)}\ 150\qquad\textbf{(D)}\ 300\qquad\textbf{(E)}\ 750 $