To find the percent change, use the following formula:

$\displaystyle \bigg(\frac{new-original}{original}\bigg)\times 100$

Our new number of applicants is 190,201, while the original number of applicants is 150,249.

$\displaystyle \bigg(\frac{190201-150249}{150249}\bigg)\times100=26.6\%$

To find the percent increase, use the following formula:

$\displaystyle (\frac{\text{New value-Old value}}{\text{Old value}})\times 100$

In the case of Widget Company,

$\displaystyle (\frac{200382-180129}{180129})\times 100 = 11.2%$

Therefore, the percent increase is $\displaystyle 11.2 \%$

The correct answer is a percent change (increase) of $\displaystyle 10\%$.

This can be calculated using the following equation: 

$\displaystyle \frac{\text{new}-\text{original}}{\text{original}}\cdot100 = \frac{11-10}{10}\cdot100 = \frac{1}{10} \cdot 100 = 10$

Therefore, the answer is a percent increase of $\displaystyle 10\%$.

To find percent change, use the following formula:

$\displaystyle \frac{\text{New Value - Old Value}}{\text{Old Value}}\times 100$

Our new value is the profit in June, $210,219. Our old value is the profit in May, $189,281.

$\displaystyle \frac{210219-189281}{189281}\times100=11.06\%$

The formula to find percentage change is

$\displaystyle \bigg(\frac{new-original}{original}\bigg)\times100$.

So for our athlete, our new weight is 170 pounds, and the original weight is 195 pounds.

$\displaystyle \bigg(\frac{170-195}{195}\bigg)\times100=\bigg(\frac{-25}{195}\bigg)\times100=-12.8\%$

Because the question already tells us that we need to find the percent lost, or percent decrease, we can drop the negative sign in the answer.

1. Subtract the lower price from the higher price.

$\displaystyle 40-36=4$

2. Divide the difference or amount of change by the initial price:

$\displaystyle \frac{4}{40}=\frac{1}{10}$

or 10% price decrease 

We first find 18% of 76:

$\displaystyle 76\times .18=13.68$

Since 76 is being decreased by this amount, we subtract 13.68:

$\displaystyle 76-13.68=62.32$

The questions throws a lot of numbers at us, but the only ones we are concerned with are those having to do with height. We use the following formula: 

$\displaystyle \text{Percent Change}=\frac{\text{Amount Change}}{\text{Original Amount}}\times 100$

We want to know the percent change. We know the amount change, 6 inches, and the original amount, 52 inches. Plugging these into the formula, we get: 

$\displaystyle \text{Percent Change}=\frac{6}{52}\times 100=11.538462$

Rounding this number to the nearest tenth gives us 11.5%.

Percent change is found by the following formula:

$\displaystyle \text{Percent Change}=\frac{\text{Amount Change}}{\text{Original Amount}}\times 100$

Amount change is the difference between the old amount and the new amount.

Here, the original amount is 30, and the new amount is 27. The difference between them is:

$\displaystyle 30-27=3$

We plug in 3 for amount change and 30 for original amount and simplify:

$\displaystyle \text{Percent Change}=\frac{3}{30}\times 100$

$\displaystyle \text{Percent Change}=\frac{3}{30}\times100=.1\times 100=10$

Our final answer is 10%.

This is a multi-step problem.  The perimeter of a semicircle is the sum of the circumference and diameter.  First, since we are given the area, we will need to find the radius.

For the area of a semicircle:

$\displaystyle A= \frac{1}{2}\pi r^2$

Since the area is $\displaystyle 2\pi$, substitute this into A to find radius r.

$\displaystyle 2\pi= \frac{1}{2}\pi r^2$

$\displaystyle 4= r^2$

$\displaystyle 2=r$

Since the radius is 2, the diameter is 4.  

$\displaystyle D=4$

The circumference for a semicircle is:

$\displaystyle C=\frac{1}{2} \pi D$

$\displaystyle C= \frac{1}{2}\pi \left ( 4\right ) = 2\pi$

The perimeter is the sum of the circumference and diameter:

$\displaystyle 2\pi +4$