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tatuchka [14]
3 years ago
14

candy wants to have 600 copies of his resume printed. His local print shop charges $22.40 for the first 400 copies and $10 for e

ach additional 100. If taxes are 6%, how much will she pay for her copies?
Mathematics
1 answer:
goblinko [34]3 years ago
4 0

Answer:

$44.94

Step-by-step explanation:

400+100+100 = 600

22.40 + 10 +10 = 42.40

(22.40 for the first 400 and 10 for each additional 100)

If tax is 6%, you can multiply the whole thing (42.40) by 1.06 to get the total amount of 44.94.


Why 1.06? If you think about it, tax is 6%. 6% is the same as 0.06. You pay 100% for the products, so with tax, it's the equivalent of 106%, or 1.06.

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Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a f
Dima020 [189]

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁)  = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the  maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

3 0
3 years ago
Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
inessss [21]

Answer:

(a). <em>y = 3x - 11 ;</em> (b). <em>y = </em>-\frac{1}{3}<em> x - 1 </em>

Step-by-step explanation:

Parallel lines have the same slopes

Slopes of perpendicular lines are opposite reciprocals.

(3, - 2)

The slope of given line is 3

<em>(a)</em>. Equation of ║ line is

y + 2 = 3(x - 3)

<em>y = 3x - 11</em>

<em>(b).</em> Slope of perpendicular line is -\frac{1}{3}

y + 2 = -\frac{1}{3} (x - 3)

<em>y = </em>-\frac{1}{3}<em> x - 1</em>

5 0
3 years ago
Read 2 more answers
Only 30 minutes please help​
andrezito [222]

Answer:

B, and i don't for the second one

Step-by-step explanation:

4 0
3 years ago
Simplify the product using a table.
bearhunter [10]
The answer is b

i think , im not sure
6 0
3 years ago
A rectangular enclosure is to be created using 82m rope.
atroni [7]
Let
x-----> the length of rectangle
y-----> the width of rectangle

we know that 
perimeter of rectangle=2*[x+y]
perimeter of rectangle=82 m
82=2*[x+y]---> divide by 2 both sides---> 41=x+y--> y=41-x---> equation 1

Area of rectangle=x*y
substitute equation 1 in the area formula
Area=x*[41-x]----> 41x-x²

using a graph tool
see the attached figure

the vertex is the point (20.5,420.25)
that means
 for x=20.5 m ( length of rectangle)
the area is 420.25 m²

y=420.25/20.5----> 20.5 m

the dimensions are
20.5 m x 20.5 m------> is a square

the answer part 1) 
<span>the dimensions of the rectangular with Maximum area is a square with length side 20.5 meters
</span>
Part 2)<span>b) Suppose 41 barriers each 2m long, are used instead. Can the same area be enclosed?
</span>divide the length side of the square by 2
so
20.5/2=10.25--------> 10 barriers
the dimensions are 10 barriers x 10 barriers
10 barriers=10*2---> 20 m

the area enclosed with barriers is =20*20----> 400 m²

400 m² < 420.25 m²
so

the answer Part 2) is 
<span>the area enclosed by the barriers is less than the area enclosed by the rope
</span>
Part 3)<span>How much more area can be enclosed if the rope is used instead of the barriers
</span>
area using the rope=420.25 m²
area using the barriers=400 m²

420.25-400=20.25 m²

the answer part 3) is
20.25 m²

6 0
3 years ago
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