Answer:
a. $20.45
b. $24.55
c. $4.55
Step-by-step explanation:
In this question, we are asked to calculate the cost price and profit or loss selling a pair of shoes.
we proceed as follows
Firstly, we want to find the cost price given the selling price and the mark up percentage.
mathematically;
profit =( selling price - cost price)/cost price * 100%
here our profit is 120% with the cost price being $45. we plug these values
120 = 45-cp/cp * 100%
120cp = 100(45-cp)
120cp = 4500 -100cp
220cp = 4500
cp = 4500/220 = $20.45
His profit is selling price - cost price = 45 - 20.45 = $24.55
His profit selling same shoe for $25 is 25-20.45 = $4.55
Answer:
34.54 in (Answer C)
Step-by-step explanation:
The formula for the circumference of a circle whose radius is known is
C = 2πr.
Here, r = 5.5 and π ≈ 3.14, and so the circumference of the circle is
C = 2(3.14)(5.5 in) = 34.54 in (Answer C)
Answer: Choice D) 0
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Explanation:
The interval [-2,2] is the same as writing -2 <= x <= 2 where "<=" without quotes means "less than or equal to"
Focus on the lower bound of the interval (x = -2). If x = -2, then y = 4 giving us the point (-2,4) on this parabola. You can draw a vertical line through x = -2 on the x axis and you'll see this vertical line crossing the parabola at (-2,4)
Similarly, the point (2,4) also lies on the parabola. This time we use the x value x = 2 as this is the upper part of the interval.
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So we'll use the two points (-2,4) and (2,4) to find the slope of the line through these points
m = (y2 - y1)/(x2 - x1)
m = (4 - 4)/(2 - (-2))
m = (4 - 4)/(2 + 2)
m = (0)/(4)
m = 0
The slope of this line is 0. Therefore the average rate of change on the interval [-2,2] is 0.
This is why the answer is choice D.
Side Note: the line that goes through the points (-2,4) and (2,4) is a completely flat horizontal line. All horizontal lines have slope 0.
This is an arithmetic sequence, meaning, to get the next term, you simply add some value to the current one, namely the "common difference" "d".
now, we know the 17th term is 34, let's go to the 15term then
34 + d
34 + d + d
34 + d + d + d
34 + d + d + d + d
34 + d + d + d + d + d
34 + d + d + d + d + d + d
34 + d + d + d + d + d + d + d
34 + d + d + d + d + d + d + d + d
now, notice, we got to the 15th term, which is 34 + d + d + d + d + d + d + d + d, or namely 34 + 8d, it just so happen we know is 74, therefore,
ok, now that we know what the common difference is, let's find the first term in the sequence using the 7th term of 34,
and now let's use those 2 found folks, to get the 21st term,
Kilogram is a measure of mass.
pint is measured in cups.
inch is the imperial system.
centimeter is the metric system.
so it would be centimeter