Korey is planning to open a comic book store. In his first year of operation, Korey expects to average $1,000 of profit each month. He then expects profits to increase by 6% each year for the next 4 years. How much does Korey expect to make in profits in his fifth year of operation?a. $15,149.72
b. $16,058.71
c. $31,120.46
d. $32,987.69

Answer:

g(x)=-x2

      = -(f(x))

so, g(x) = -f(x), so g(x) is reflection of f(x) over x-axis

Answer:

$0.59

Step-by-step explanation:

We first find the unit rate of the large water bottles after the promotion. To do this we divide 6.3 by 3 to get 2.1. Then we want to subtract 2.69 by 2.1 to get our final answer, $0.59.

Final answer:

In order to find Kendrick's biking time to school, set up and solve the equation based on the rate-time-distance relationship, using the given conditions of 5.4 miles distance, x miles per hour speed, and a time of x+15 minutes.

Explanation:

The subject of this question is rate, time, and distance. To find out how long it takes for Kendrick to bike to his school, we should start with the rate-time-distance relationship formula. If we let 'x' be the speed at which Kendrick rides his bike, then the time taken is simply 5.4 divided by x (since distance = rate x time, and we rearrange to get time = distance/rate).

However, the question states that the time is 'x+15' minutes. Therefore, we can set up the equation '5.4/x = x + 15.' Solving this equation will give us 'x' which is both the speed in miles per hour and the time in minutes that it takes Kendrick to bike to school.

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Answer:

65°

Step-by-step explanation:

We can apply a theorem known as angle sum property of a triangle,in which all the angles of it sums to 180°,then only it can be a triangle!

In ∆ ABC, by angle sum property,

• <A+<B+<C = 180°

Given that, <A = 2x+4°,

• <B = 2x-9°
• <C = x°

Putting in the values,

• 2x+4+2x-9+x = 180°(Collect terms and solve them)

Solving in the equation,

• 4x-5 +x = 180°(Again collect terms)
• 5x = 185°(Transpose 5 onto RHS)
• x = 185/5 = 37°

We have to find the value of <B:

• 2x-9°

Putting the value of <B:

• 2*37-9
• 74-9 = 65°

Hence the value of <B = 65°

First we have to see which is the right angle.  This triangle has its legs oriented parallel to the axes. (-3,-1) and (1,-1) form the horizontal leg, (1,-1) and (1,2) the vertical leg.  

So the right angle vertex is (1,-1) and the hypotenuse endpoints are (-3,-1) and (1,2)

The length is given by

This is a 3/4/5 right triangle.

Answer: 5

The Box with a smaller base has a height that is 4 times taller than the Box having a larger base.

What is the volume of a cuboid?

We know the volume of a cuboid is the product of its length, breadth, and height or v = l×b×h.

Given, we have two boxes let us denote them by B₁ and B₂ and their respective heights are h₁ and h₂.

To obtain how many times one box is relative to the other we have to equate their respective volumes.

Given, one box has a base that is 10cm by 10 cm and another box has a base that is 5cm by 5cm.

∴ 5×5×h₁ = 10×10×h₂.

25h₁ = 100h₂.

h₁ = 4h₂.

So, h₁ is 4 times taller than h₂.

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Answer:

x=4

Step-by-step explanation:

5^2X=10^2X
25X=10X

2X=100/25