The correct answer is: [C]: " $4290.00 " .
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Explanation:
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Given: principal, "P": equals: $14,300 ;
rate, "r" : equals: 7.5 % = 7.5 / 100 = 0.075 ;
time, "t" (in years): equals: 4 ;
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What is the interest, "i" ?
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Note: The formula: i = P * r * t .
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So, we plug in our given values for "P", "r", and "t", and solve for "i" (interest).
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i = ($14,300) *(0.075) * (4) ;
i = $1,490 ; which is answer choice: [C]: " $4290.00 " .
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to find the point, find the location
realize that the shortest line that crosses through the origin and y=9x+8 is perpendicular to y=9x+8
perpendicular lines have slopes that multiply to get -1
y=9x+8 has a slope of 9
9*m=-1, m=-1/9
the slope of the mystery line is -1/9
since it passes through the origin, the y intercept is 0
y=(-1/9)x is the equation of the line from the point to the origin
find the intersection of this line and the original line
set them equal to each other
(-1/9)x=9x+8
multily both sides by 9
-x=81x+72
minus 81 both sides
-82x=72
divide both sides by -82
x=-36/41
find y
y=(-1/9)x
y=(-1/9)(-36/41)
y=4/41
the point is
Answer:
The area of the shaded region is 42.50 cm².
Step-by-step explanation:
Consider the figure below.
The radius of the circle is, <em>r</em> = 5 cm.
The sides of the rectangle are:
<em>l</em> = 11 cm
<em>b</em> = 11 cm.
Compute the area of the shaded region as follows:
Area of the shaded region = Area of rectangle - Area of circle
Thus, the area of the shaded region is 42.50 cm².