If you would like to know what is the area of the paper in square centimeters, you can calculate this using the following steps:
1 inch equals to 2.54 centimeters.
11 inches = 11 * 2.54 = <span>27.94 centimeters long
8.5 inches = 8.5 * 2.54 = </span><span>21.59 centimeters wide
11 inches long * 8.5 inches wide = 27.94 centimeters long * 21.59 centimeters wide = </span>27.94 * 21.59 = 603.22 square centimeters
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The correct result would be </span>603.22 square centimeters.<span>
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Answer:
a)
b) 394 thousand = 394,000 people will be following the website in 2016
Step-by-step explanation:
Exponential equation for an amount:
The exponential equation for an amount after t years has the following format:
In which y(0) is the initial value and r is the growth rate, as a decimal.
A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.
This means that:
a. Write an exponential growth function that represents the number of followers t years after 2010
In thousands:
b. How many people will be following the website in 2016?
2016 is 6 years after 2010, so this is y(6).
Rounding to the nearest thousand:
394 thousand = 394,000 people will be following the website in 2016
The zero is closed to the origin
If f(x) has an inverse on [a, b], then integrating by parts (take u = f(x) and dv = dx), we can show
Let . Compute the inverse:
and we immediately notice that .
So, we can write the given integral as
Splitting up terms and replacing in the first integral, we get