At a garage sale, Susan found a vase for $5. She was able to negotiate the price of the vase to $4.
2 answers:
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The volume of the region R bounded by the x-axis is:
The volume of a solid is the degree of space occupied by a solid object. If the axis of revolution is the planar region's border and the cross-sections are parallel to the line of revolution, we may use the polar coordinate approach to calculate the volume of the solid.
In the graph, the given straight line passes through two points (0,0) and (2,8).
Therefore, the equation of the straight line becomes:
where:
- (x₁, y₁) and (x₂, y₂) are two points on the straight line
Thus, from the graph let assign (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 8), we have:
y = 4x
Now, our region bounded by the three lines are:
- y = 0
- x = 2
- y = 4x
Similarly, the change in polar coordinates is:
- x = rcosθ,
- y = rsinθ
where;
- x² + y² = r² and dA = rdrdθ
Now
- rsinθ = 0 i.e. r = 0 or θ = 0
- rcosθ = 2 i.e. r = 2/cosθ
- rsinθ = 4(rcosθ) ⇒ tan θ = 4; θ = tan⁻¹ (4)
- ⇒ r = 0 to r = 2/cosθ
- θ = 0 to θ = tan⁻¹ (4)
Then:
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The final cost of skateboard will be $83.10
Step-by-step explanation:
Given,
Cost of skateboard = $98
Coupon = 20% off
Amount of discount = 20% of cost of skateboard
Cost of skateboard after discount = Cost of skateboard - Amount of discount
Cost of skateboard after discount = 98 - 19.6 = $78.4
Sales tax = 6%
Sales tax amount = 6% of discounted price
Final cost of skateboard = Discounted price + Sales tax
Final cost of skateboard = 78.40+4.70 = $83.10
The final cost of skateboard will be $83.10
Keywords: sales tax, addition
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