Answer:
21
69
Step-by-step explanation:
You can graph the points and see if they fall in a straight line. After doing this, you'd be able to see that all the lines fall in the same line. This means that the points in the table are linear.<span />
Let the value of the car be represented by V and the amount of years by y.
This gives us the following formula:
V = 25,635 - 3000y
(This is because we start with a value of $25,635 and the value decreases by $3,000 every year 'y')
Now, we want to know when the car is worth $3,135, so we know V = 3,135
Now we can make up our equation:
25,365 - 3,000y = 3,135
Collecting terms gives us:
-3,000y = -22,500
Finally we divide by -3,000 to find 'y'
y = -22,500 / -3,000 = 7.5
Hence, the car will be worth $3,135 after 7.5 years.
Answer:
0.001 and 1/1000
Step-by-step explanation:
Part A.
We are given the total volume of the amount of sand she will want to fill
we are also given the shape and dimensions of the cylinders
Total volume of the sand = 1,000
Cylinder= radius 4 in, and height 8 in
the volume of a cylinder is V=πr^2h
We will solve for the volume of the cylinders
V=πr^2hV=π(4)^2*(10)
V = π (16) * (10)
V = π 160
The volume of the cylinders she wants to fill is 502.65 in^3
How many cylinders will she need
Well,
1000/502.65 <span>≈ 1.98
She will need two cylinder cans to fill with the 1,000 in^3 of sand
Part B.
To see if this is true, we find the half of the original cylinder's radius and height then solve for the volume and compare
</span>V=πr^2h
<span>The height and radius of the original cylinders were 4 r and 8h
we will find half of that which will be : 2 r and 4 h
Now solve for the volume </span>V=πr^2h
V=π(2)^2* (4)
V=π (4)*(4)
V = π 16
V ≈<span> 50.26 inches ^3
The volume of the original cylinders was </span>502.65 in^3 and the volume of the new cylinders is 50.26 in^3... Clearly the volume of the new cylinders is NOT half of the original. Sally is not correct!
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Hope this helps :)
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