18. A car depreciated (decreased in value) by 25% during the first year. If the car was purchased for $28,000, what is the car w
2 answers:
You might be interested in
We are given Volume of the larger cylinder is = 1600 cubic centimeters.
Height of the larger cylinder = 16 cm.
We know formula of volume of a cylinder V=, where r is the radius of cylinder, h is the height of the cylinder.
Plugging value of V and h of larger cylinder, we get
Dividing both sides by 16, we get
Taking square root on both sides, we get
r=10.
Therefore, radius of the larger cylinder is 10 cm.
We are given cylinders are similar .
<u>Note: The radii and heights of similiar cylinders are in same ratio.</u>
Therefore, we can setup a proportion:
Let us take radius of small cylinder is x.
Multiplying both sides by 10, we get
x=2.50.
Therefore, radius of the small cylinder = 2.5 cm.
Now, plugging radius =2.5 and height = 4 in the formula of volume the cylinder, we get
Therefore, correct option is 25 pi cm^3.
Answer:
The equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:
- y = 3x-13
Step-by-step explanation:
Given the equation
y + 5 = 3(x - 1)
Writing in the slope-intercept form
y=mx+b
where m is the slope and b is the y-intercept
y = 3(x-1) -5
y = 3x-3-5
y = 3x - 8
Thus, the slope = m = 3
We know that the parallel lines have equal slopes.
So, the slope of a parallel line is also 3
Using the point-slope form of the line equation
substituting the values m = 3 and the point (3, -4)
y-(-4)=3(x-3)
y+4 = 3x-9
y = 3x-9-4
y = 3x-13
Thus, the equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:
- y = 3x-13