Answer:
about 20
Step-by-step explanation:
The numbers round to 600/30 = 20, which is a reasonable estimate.
You can refine this by doing the next step of long division:
29×20 = 580
Subtracting this from 591.3 give 11.3, so the fraction is ...
11.3/29 ≈ 10/30 = 1/3
A better estimate is 20 1/3.
_____
A calculator tells you the quotient is about 20.3897.
See attached for a sketch of some of the cross sections.
Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).
If the thickness of each cross section is ∆x, then the volume of each cross section is
∆V = (√(x + 1))² ∆x = (x + 1) ∆x
As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,
Answer:
y = 2/7 x - 51/7
Step-by-step explanation:
Equation of the line
(y-y1)/(y2-y1) = (x-x1)/(x2-x1)
(y-(-7)/(-9-(-7) = (x-1)/(-6-1)
(y+7)/-2 = (x-1)/-7
(-y-7)/2 = (-x+1)/7
-y-7 = -2/7 x + 2/7
-y = -2/7x +2/7 + 7
y = 2/7 x - 2/7 - 7
y = 2/7 x + (-2-49)/7
y = 2/7 x - 51/7
Answer:
1) Consider that he makes $1189 every two weeks engaged with work
2) An estimate of the opportunity cost of going on the fishing trip is $1450 in two weeks
3). If he decides to buy the truck, he has to work for about 7 weeks before going on the fishing trip
Step-by-step explanation:
From the given data
Total revenue from lawn mowing per year = 35 × 4× 5×20 = $1400
Similarly total operating costs = $2110
Total profit per annum = $11890
However total revenue per every 2 weeks = $1189
To buy the truck, sell his and go on the fishing trip it will cost = 5200-1500+250 =$3950 hence he has to work for about 6.64 or approximately 7 weeks before going on the fishing trip
2) Opportunity cost will factor in the cost of having someone work for him while away
The cost is = $250 + $120/day
Hence in two weeks it will cost him $1450
3) He has to work for about 7 weeks to be able to afford the truck
5=red
1/3 of all=red
1/3 of all=5
3/3 of all=all=1/3 times 3/1=5 times 3/1=15
15 total
