A circle is 360° all the way around; therefore, if you divide an arc's<span> degree </span>measure<span> by 360°, you </span>find<span> the fraction of the circle's circumference that the </span>arc<span> makes up. Then, if you multiply the length all the way around the circle (the circle's circumference) by that fraction, you </span>get<span> the length along the </span>arc<span>.</span>
We start by calculating the assessed value, that is 41% of the price.
The price is $92,000.
Then, the assessed value is:
The property tax rate is $39.50 per $1000 of assessed value, so we can express this rate as:
We then can multiply this rate by the assessed value to calculate the total property tax:
NOTE: we could have also multiplied 39.50 by 37.72. The value 37.72 is the thousands of dollars of assessed value. We would have obtained the same result: 39.50*37.72=1489.94.
Answer: the property tax is $1,489.94.
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
If I pick 10, then 2(10)+13=33
If I pick 15, then 2(15)+13=43
If I pick 12, then 2(12)+13=37
There is no local extremas but here is the objective function graphed
