Mark invests $150 at the beginning of each quarter in stock ABC. According
to the table below, how many shares of ABC will Mark own at the end of the
year?
ABC
01
02
03
04
Stock Price
$15
$16
$13
$18
O A. 44 shares
O B. 36 shares
O C. 40 shares
O D. 38 shares

Answer:

Whereby circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P

Step-by-step explanation:

The given center of the circle [tex]\bigodot[/tex]O = (-2, 7)

The radius of [tex]\bigodot[/tex]O, r₁ = 5

The given center of the circle [tex]\bigodot[/tex]P = (12, -1)

The radius of [tex]\bigodot[/tex]P, r₂ = 12

The similarity transformation to prove that [tex]\bigodot[/tex]O and [tex]\bigodot[/tex]P are similar are;

a) Move circle [tex]\bigodot[/tex]O 14 units to the right and 8 units down to the point (12, -1)

b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4

Therefore, the radius of circle [tex]\bigodot[/tex]O is increased by 2.4

We then obtain [tex]\bigodot[/tex]O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle [tex]\bigodot[/tex]P

∴ Circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P.

Answer:

40 percent

Step-by-step explanation:

Start by taking the difference of the two values:

35-25 = 10.

the $10 is how much the value increased by.

To get the percent that the $25 increased by, take 10/25 to get .4

This .4 can then be turned into a percentage when you multiply it by 100. = 40 percent.

You can check your answer by finding 40 percent of 25, which is 10.

Answer:

the correct answer is 24.9

Step-by-step explanation:

Answer: 24.9

Step-by-step explanation:

Answer:

y=7x

Step-by-step explanation:

Take two points from the line and plug them into y2-y1/x2-x1. In this case, I chose (6,42) and (7,49). This will make the equation 49-42/7-6. This is equal to 7/1 or 7. Therefore, the equation is equal to y=7x.

If this helps please mark as brainliest

Step-by-step explanation:

6x7=42

7x7=49

8x7=56

9x7=63

Answer:

C. y=-3x+5

Step-by-step explanation:

Looking at the line, you see that it goes down 3 places for every unit step to the right, so the slope is -3 and we expect a -3x in the answer.

Looking at the intersection with the y-axis, it is at (0,5), so we expect -3x + 5.

We have to be at the left of this line, i.e. y < -3x + 5.

That's answer B.

Rewrite 0.5% as a decimal by moving the decimal point 2 places to the left:

0.5% = 0.005

Multiply quantity by the decimal:

20,000 x 0.005 = 100 would be broken

20,000-100 = 19,900 would not be broken

Answer:

cubic

Step-by-step explanation:

y = x³  is a cubic shape  try graphing it

Answer:

D. 215.5

Step-by-step explanation:

The formula for this equation is V= 3.14 x [tex]6^{2}[/tex] x 5.72 ÷ 3

Plug all of that into your calculator and you should get 215.5296.

From here just round to the nearest tenth and you'll be left with answer D. 215.5

Answer:

68.64pi or 215.64

Step-by-step explanation:

So lets go over the formula for volume of a cone.(note if needed for future problems, this can also be used for pyramid.)

The formula is:

r^2*h*pi*1/3

Or:

[tex]\frac{r^2*h*\pi }{3}[/tex]

We know that the radius is 6.

We also know that 5.72 is height.

Lets plug these in:

[tex]\frac{6^2*5.72*pi}{3}[/tex]

Now square the 6.

[tex]\frac{36*5.72*pi}{3}[/tex]

Now multiply the 36 by 5.72.

[tex]\frac{205.92*pi}{3}[/tex]

Combine the 205.92 and pi.

[tex]\frac{205.92\pi }{3}[/tex]

Finally, divide by the 3.

[tex]68.64pi[/tex]

This is your answer!

Hope this helps! :D

Answer:

given

y=-8x+3

Interchanging the role of x and y

x=-8y+3

x-3=-8y

y=(3-x)/8

Inverse is y=(3-x)/8 or y=-(x-3)/8

Answer:

6: x = 3 and y = 5

7: x = 8 and y = 7

Step-by-step explanation:

In parallelograms opposite sides are congruent

For #6

x + 5 = 2x + 2

step 1 subtract x from each side

2x - x = x

x - x cancels out

now we have 5 = x + 2

step 2 subtract 2 from each side

5 - 2 = 3

2 - 2 cancels out

we're left with x = 3

y + 10 = 2y + 5

step 1 subtract 5 from each side

10 - 5 = 5

5 - 5 cancels out

now we have y + 5 = 2y

step 2 subtract y from each side

y - y cancels out

2y - y = y

we're left with y = 5

For #7

3x - 2 = 2x + 6

step 1 add 2 to each side

-2 + 2 cancels out

6 + 2 = 8

now we have 3x = 2x + 8

step 2 subtract 2x from each side

3x - 2x = x

2x - 2x cancels out

we're left with x = 8

6y - 8 = 4y + 6

step 1 add 8 to each side

-8 + 8 cancels out

6 + 8 = 14

now we have 6y = 4y + 14

step 2 subtract 4y from each side

6y - 4y = 2y

4y - 4y cancels out

now we have 14 = 2y

step 3 divide each side by 2

2y / 2 = y

14 / 2 = 7

we're left with y = 7

Answer:

-1/12, 1/2, -1/16, 1/16, -1/20, 1/20, -1/2, 1/2, -1/10, 1/10

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

10 Fractions

-5/6 = -400/480

5/8 = 300/480

201/480

202/480

203/480

204/480

205/480

206/480

207/480

208/480

209/480

210/480

10 Decimals

5/6 = -0.8333333333

5/8= 0.625

0.226

0.227

0.228

0.229

0.23

0.231

0.232

0.233

0.234

0.235

Answer:

According to the histogram, the data points from 15-29 would be 12.

Step-by-step explanation:

No explanation needed.

Answer:

12

Step-by-step explanation:

Add the number of data points that are greater or equal to 15 (4+2+6) = 12.

Answer:

A sample of 1015 should be taken.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.12.

This means that [tex]\pi = 0.12[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex]. I used 95% because the confidence level was not given.

How large a sample should be taken to estimate the actual proportion of smokers with a margin of error of 0.02?

This is n for which M = 0.02. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 1.96\sqrt{\frac{0.12*0.88}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96\sqrt{0.12*0.88}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.12*0.88}}{0.02}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.12*0.88}}{0.02})^2[/tex]

[tex]n = 1014.2[/tex]

Rounding up:

A sample of 1015 should be taken.

The graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = ± 2 is plotted and attached.

Local Maxima →

If f'(x) changes sign from positive to negative as x increases via point c, then f(c) represents the maximum value of the function in that range.

Local Minima →

If f'(x) changes sign from negative to positive as x increases via point c, then f(c) gives the minimum value of the function within that range.

Given is to sketch a graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = + 2.​

Refer to the graph of the function attached.

It shows a parabola indicating a quadratic function that has a maximum value of (0, 2) and x - intercepts at x = ± 2.​

Therefore, the graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = ± 2 is plotted and attached.

To solve more questions on graph plotting, visit the link -

brainly.com/question/30098550

#SPJ1

Answer:

t = (log200)/4 hours

Step-by-step explanation:

10,000 = 50(10)^(4t)

Divide both sides by 50

200 = 10^(4t)

Take the log of both sides

log200 = 4t

Divide both sides by 4

(log200)/4 = t

t = (log200)/4    (exact answer)

t ≈ 0.575257498915995 (numeric approximation)

Answer:

Yeah if you want too

Step-by-step explanation:

It depends if its school or personal

I'm using it on my own laptop

Step-by-step explanation:

Step-by-step explanation:

Right 5 and 4 =9 that is the answer

Answer:

=8⁴√³

8⁴=2¹²

12÷3=4

2⁴=16

16=16²√

=64²√³

64=4³

6÷3=2

4²=16

=16³√

16=4²

6÷2=3

4³=64

so the answer is 16^3/2

Answer:

4.5 or 9/2 using bodmas ruke

Answer:

15

Step-by-step explanation:

4 ×15= 60

60×2= 120

166-46=120

Answer:

30.285 m²

Step-by-step explanation:

C = 2πr

2 · π · 2

≈ 12.57

12.57 ÷ 2 = 6.285

10 - 2 = 8

8 · 4 ÷ 2

32 ÷ 2

16

2 · 4 = 8

6.285 + 8 + 16

30.285

Answer:

at 5 weeks

Step-by-step explanation:

y = 3x + 40   (David)

y = 6x + 25  (Perla)

since both equal 'y' we can set the expressions equal and solve for 'x'

3x + 40 = 6x + 25

subtract 3x from each side to get:

40 = 3x + 25

subtract 25 from each side to get:

15 = 3x

15/3 = x

5 = x

Answer:

X=70

Step-by-step explanation:

70 + 75 + 35 =180

x + x+5 + x-35

Answer:

Sine functions show repeated and periodic behavior. They are used to model wave-like behavior. They can be used to make predictions based on the model.

Step-by-step explanation:

I calculated it logically

Answer:

0.6364 is a decimal and 63.64/100 or 63.64% is the percentage for 7/11.

Answer:

(d)

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 96t[/tex]

Required

The intercepts

The x intercepts are where the graph crosses x axis.

From the attached plot, they are:

[tex]x = (0,0)[/tex] and [tex]x = (6,0)[/tex]

These represent the start and end of the ball that is launched.

Hence, (d) is true

Answer:

288.2 ÷ 11 gallons

[tex]288.2 \div 11 = 26.2[/tex]gallons

[tex]\huge\mathbb{\underbrace{\overbrace{ \: \: PROBLEM: \: \: }}}[/tex]

[tex]\huge╭☞[/tex]288.2 ÷ 11 gallons?

[tex]\huge╭☞[/tex]288.2 \div 11?

[tex]\huge\mathbb{A}\bold{nswer:}[/tex]