Ef=19, as given in the question.
Answer:
The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.
A. f(x) = 5 + x; $111.05
B. f(x) = 0.05x; $5.50
C. f(x) = x � 5; $108.95
D. f(x) =1.05x; $115.50
total cost = (price) + (5% of price)
f(x) = x + 0.05x
f(x) = 1.05x
So the function is f(x) = 1.05x
Plug in x = 110 to get
f(x) = 1.05x
f(110) = 1.05*110
f(110) = 115.50
The item costs $115.50 (after tax is added on)
Step-by-step explanation:
1: the total cost of a CD player would be 104.76
2: Total Cost = (price) + (5% of price)
f(x) = x + 0.05x
f(x) = 1.05x
So the function is f(x) = 1.05x
Plug in x = 110 into the function
f(110) = 1.05*110
f(110) = 115.50
The item costs $115.50
3: Answer:
f(x) = .05x; $5.50
Step-by-step explanation:
f(x) = .05x
f(110) = .05(110) = $5.50
For this case we have:
: Let the variable representing the first odd number
: Let the variable representing the consecutive odd number at x.
According to the statement we have:
We found the solution by factoring:
We look for two numbers that, when multiplied, result in -63 and when added, result in 2. These numbers are +9 and -7.
Thus, we have:
Therefore the solutions are:
We choose the positive value, so we have:
Answer:
The largest number is 9
The area of the shaded region is 8.1838. The area of the shaded region is calculated by subtracting the area of the triangle from the area of the sector of the circle.
<h3>How to calculate the area of the sector?</h3>
The area of the sector of a circle with a radius 'r' and an angle of sector 'θ' is
A = (θ/360) πr² sq. units
<h3>How to calculate the area of a triangle with an angle?</h3>
The area of the triangle with measures of two sides and an angle between them is
A = 1/2 × a × b × sinC sq. units
Where a and b are the lengths of sides and ∠C is the angle between those sides.
<h3>Calculation:</h3>
It is given that,
The area of the sector shown in the diagram is 78.6794 cm² and the area of the triangle is 70.4956 cm².
Then to calculate the area of the shaded region, subtract the area of the sector and the area of the triangle. I.e.,
Area of the shaded region = Area of the sector - Area of the triangle
⇒ 78.6794 - 70.4956
⇒ 8.1838 cm²
Therefore, the required area of the shaded region is 8.1838 sq. cm.
Learn more about the area of a sector here:
brainly.com/question/22972014
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