We are given the functions:
<span>S (p) = 40 + 0.008 p^3 --->
1</span>
<span>D (p) = 200 – 0.16 p^2 --->
2</span>
T o find for the price in which the price of supply equals
demand, all we have to do is to equate the two equations, equation 1 and 2, and
calculate for the value of p, therefore:
S (p) = D (p)
40 + 0.008 p^3 = 200 – 0.16 p^2
0.008 p^3 + 0.16 p^2 = 160
p^3 + 20 p^2 = 20,000
p^3 + 20 p^2 – 20,000 = 0
Calculating for the roots using the calculator gives us:
p = 21.86, -20.93±21.84i
Since price cannot be imaginary therefore:
p = 21.86
Answer
C. 14
Explanation
The area of triangle = 1/2(base)(height)
The height:
the height is the distance from point (2,-3) perpendicular to the base intersecting it at point (2,1)
the height is then the distance between the 2 points = 4
The base:
the base is the distance between points (7,1)and (0,1) = 7
The area:
the area = 1/2 x 4 x 7 = 28/2 = 14 units²
Based on the amount saved per week and the down payment of the property, the number of months it will take to save the amount is 46 months.
<h3>How long will it take for the family to save the amount?</h3>
First, find out the amount saved per month:
= (30% x 2,051) x 2 payments a month
= $1,230.60
The downpayment is:
= 281,700 x 20%
= $56,340
The closing cost is:
= 1.15 x 56,230
= $843.45
The number of months till the amount is saved is:
= (56,340 + 843.45) / 1,230.60
= 46 months
Find out more on mortgage downpayments at brainly.com/question/9893085.
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40÷5= 8 You have to see how many time 5 can go into 40
1. see how many times 5 goes into 4 none so the first number is 0
2. then you see how many time 5 can go into 0 o times
3. so you have to see how many time you can count 5 into 40
(count by 5's) 5,10,15,20,25,30,35,40 that should be 8 times total!