Answer: The discount is $180, and the price with the discount is $1,020.
Step-by-step explanation: Multiply 1,200 times .15 to get the discount, or how much you get off. Then subtract the answer, which is $180, from the original price, to get $1,020. This is the price with the discount.
Answer:
y=20
Step-by-step explanation:
Answer:
( 2, 1 )
Step-by-step explanation:
x remains the same and y coordinate changes signs
Answer:
60
Step-by-step explanation:
First, find the area of the square as it the missing piece wasn't missing.
8 x 9 = 72
Then, find the area of the missing section.
3 x 4 = 12
Finally, subtract 12
from 72
and you get 60
Answer:
The tip of the man shadow moves at the rate of 
Step-by-step explanation:
Let's draw a figure that describes the given situation.
Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.
Here it forms two similar triangles.
Let's find the distance "y" using proportion.
From the figure, we can form a proportion.

Cross multiplying, we get
15(y -x) = 6y
15y - 15x = 6y
15y - 6y = 15x
9y = 15x
y = 
We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).
----(1)
We are given
. Plug in the equation (1), we get

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.