Answer:
Part 1) The area is 
Part 2) The circumference is 
Step-by-step explanation:
step 1
Find the area
we know that
The area of a circle (circular tablecloth) is equal to

we have
------> the radius is half the diameter

substitute


step 2
Find the circumference
we know that
The circumference of a circle (circular tablecloth) is equal to

we have

substitute


Step-by-step explanation:
<h3> a) [ -6 +22 – 6 + 8 ] ÷ ( -9 )</h3>
[ -6 +22 – 6 + 8 ] = 18
18 ÷ (-9) = -2
<h3> b) 400 ÷ { 40 – (-2) -3 – ( -1)} </h3>
{40 – (-2) -3 – ( -1)} = { 40 + 2 -3 + 1} = 40
400 ÷ 40 = 10
<h3>c) 40 x -23 + 40 x -17 </h3>
(40 x 23) + (40 x -17)
920 + (-680)
= 240
<h3>d) 1673 x 99 – (-1673) </h3>
(1673 x 99) + 1673
1673 x 100
= 167300
<h3>e) 490 x 98 = 48020</h3>
Hope this helps ^-^
Answer:
a) $50,880
b) $48
c) 1060
Step-by-step explanation:
a)
-320x^2 + 1920x + 48000 = 0
This is a parabola that opens downward. It has a maximum value. The maximum value occurs at x = -b/(2a)
x = -b/(2a) = (-1920)/(2(-320)) = 1920/640 = 3
The maximum revenue, y, is the value of the function evaluated at x = 3.
f(x) = -320x^2 + 1920x + 48000
f(-3) = -320(3)^2 + 1920(3) + 48000
f(-3) = 50,880
The maximum revenue is $50,880
b)
Since maximum revenue occurs at x = 3, and since x represents the number of $4 discounts, the discount is 3 * $4 = $12. The price is $60 - $12 = $48
c)
$50,880/$48 = 1060
Answer:
D = 20H
Step-by-step explanation:
The amount Troy (D, in dollars) charges to mow a lawn is proportional to the time (H, in hours) it takes him to mow the lawn.
Hence, we can write D = kH ......... (1), where k is a constant.
Now, given that Troy charges $30 to mow a lawn that took him 1.5 hours to mow.
So, from equation (1) we get
30 = 1.5k
⇒ k = 20.
Therefore, equation (1) becomes D = 20H (Answer)
Answer:
B
Step-by-step explanation:
please mark as brainlist answer