Step-by-step explanation:
here is the answer. Feel free to ask for more.
We know that
the formula of the <span>the sum of the arithmetic sequence is
Sum=n*(a1+an)/2
n=36
a1=3
a36=?
find a36
an=a1+(n-1)*d
for n=2 a2=9
9=3+(2-1)*d----> 9=3+d----> d=6
so
for n=36
a36=a1+(36-1)*6----> a36=3+35*6----> a36=213
</span>Sum=n*(a1+an)/2-----> 36*[3+213]/2----> 3888
the answer is
3888
Answer:
Step-by-step explanation:
We have volume of cone as
and for a cone always r/h = constant
Given that r' = rate of change of radius = -7 inches/sec
(Negative sign because decresing)
V' =- 948 in^3/sec
Radius = 99 inches and volume = 525 inches
Height at this instant =
Let us differentiate the volume equation with respect to t using product rule
Rate of change of height = 0.08514 in/sec
A. The cost per 20 boards is 3800. so each board costs 3800/20 or $190. So the cost equation is C(x) = 200 + 190x
B. Divide the cost function by x. C(x)/x = 200/x + 190
C. The graph will be a curve that starts at (1,390) and curves down and to the right. Your last point will be at (30, 200/30+190) Your asymptote will be the horizontal line at 190 because as x tends to infinity, the term 200/x goes to zero. (There is also a vertical asymptote at x = 0 because you can't divide by zero, but your graph won't include x=0)
D. The average cost tends to 190 which was your horizontal asymptote.
Answer:
1) The total price, after tipping the driver 15% is 21.6
2) s = 0.75r
Step-by-step explanation:
Price of order = $24
She uses a coupon for 25% off.
Discount =
So, Cost after discount = 24-6=18
She wants to know the total price, after tipping the driver 15%.
So, Tip to driver = 15% of 24 = 3.6
So, Cost including tip = 18+3.6=21.6
Thus the total price, after tipping the driver 15% is 21.6
Now we are supposed to find equation to show the relationship between the sale price, s. and the regular price.
Let the regular price be r
Discount = 25%
So, Discounted price =
We are given that s denotes the sale price
So, s = 0.75r