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3 years ago

I need help with this, I've been struggling with this for the past few minutes.

Mathematics

1 answer:

Vitek1552 [10]3 years ago

4 0

a. We know the rates of change for both companies, as well as the starting values in 2013. So, to predict the values in 2022 we have to simulate the passing of 9 years. Company A loses 0.22 billions per years, so they will lose $0.22\cdot 9 = 1.98$ billions in 9 years. So, we have

$A_{2022} = 4.9 - 1.98 = 2.92$

Similarly, company B will have

$B_{2022} = 1.64 + 0.19\cdot 9 = 3.35$

billion dollars in 2022.

b. This question is similar to the previous one, except this time we have to find the number of years necessary to reach a particular goal. We have

$4.9 - 0.22x = 4.24$

Solving for x, we have

$x = \dfrac{4.9-4.24}{0.22} = \dfrac{0.66}{0.22} = 3$

c. We know the behaviour of the two values, so the number of years will again be the unkown, and we set the two values to be the same:

$4.9 - 0.22x = 1.64+0.19x$

Solving for x, we have

$4.9-1.64 = (0.22+0.19)x \iff 3.26 = 0.41x \iff x = \dfrac{3.26}{0.41} \approx 7.9$

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During the first half of a trivia game you scored 16 points, and during the second half you scored negative 8 points. How many p

pav-90 [236]

$You \: scored:16 - 8 = 8 \: points$

3 0

3 years ago

Read 2 more answers

Graph y = x2 + 2. Identify the vertex of the graph. Tell whether it is a minimum or maximum. (0, 2); maximum (0, 2); minimum (2,

miskamm [114]

Answer:

$(0,2)$ ; minimum

Step-by-step explanation:

Given:

The function is, $y=x^{2}+2$

The given function represent a parabola and can be expressed in vertex form as:

$y=(x-0)^{2}+2$

The vertex form of a parabola is $y=(x-h)^{2}+k$ , where, $(h,k)$ is the vertex.

So, the vertex is $(0,2)$ .

In order to graph the given parabola, we find some points on it.

Let $x=-2,y=(-2)^{2}+2=4+2=6$

$x=-1,y=(-1)^{2}+2=1+2=3$

$x=0,y=(0)^{2}+2=0+2=2$

$x=2,y=(2)^{2}+2=4+2=6$

$x=1,y=(1)^{2}+2=1+2=3$

So, the points are $(-2,6),(-1,3),(0,2),(1,3),(2,6)$ .

Mark these points on the graph and join them using a smooth curve.

The graph is shown below.

From the graph, we conclude that at the vertex $(0,2)$ , it is minimum.

8 0

3 years ago

PLZZZZ HELPP WILL GIVE BRAINLIEST

liberstina [14]

Answer:

Step-by-step explanation:

Since both triangles are right angle triangles that means one angle is 90°. other two sides are given congruent .

that means lengths of hypotenuse and the leg of the one right angle triangle is equal to the corresponding other hypotenuse and leg of other triangle.

This fulfills the condition of HL congruency.

7 0

3 years ago

Original price of a CD: $20.00 <br> Discount 42% <br> Tax 6%

vodomira [7]

First, we can subtract the discount from the original price. Divide the discount (42%) over 100.

42/100 = 0.42

Next, we need to multiply. It's basically asking what 42% of 20 is.

0.42 × $20 = $8.40

Now, we know that we will have $8.40 on the CD because of the discount. We can subtract the saved amount from the original amount to get the price.

$20 - $8.40 = $11.60

You will pay $11.60 for the CD without taxes.

----------

Now to add the taxes.... To do this, do the same first step we did when finding the discount price.

6/100 = 0.06

Multiply. Like I said, you can think of it as, '6% of 11.60'.

0.06 × 11.60 = $0.70

Last step is to ADD. Since taxes add more money onto the current price, we will have to add.

$11.60 + $0.70 = $12.30

---------

The total price of the CD will be: $12.30.

3 0

3 years ago

(1,-7); slope=-1 whats the answer please

Anettt [7]

Slope = -1

and it goes through (1, -7)

7 0

3 years ago

I need help with this, I've been struggling with this for the past few minutes.​

I need help with this, I've been struggling with this for the past few minutes.