For the given data set; 2, 5, 7, 9, 11, 15 , 17 find the range.

Both sides are equal

[tex]\\ \rm\longmapsto 4z-6=z+11[/tex]

[tex]\\ \rm\longmapsto 4z-z=17[/tex]

[tex]\\ \rm\longmapsto 3z=17[/tex]

[tex]\\ \rm\longmapsto z=17/3[/tex]

The Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\left(1+\dfrac{R}{n\times100}\right)^{nt}[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly.

Put this values in the above formula as,

[tex]A=8470\left(1+\dfrac{7.5}{12\times100}\right)^{12\times4}\\A=11422.6348[/tex]

For the four years, the monthly payment is,

[tex]m=\dfrac{11422.6348}{12\times4}\\m=237.97[/tex]

The monthly payment of unsubsidized loan is $237.97.

The monthly payment of subsidized loan is $202.80.

The difference between the unsubsidized and subsidized loan monthly payment is,

[tex]d=237.97-202.80\\d=35.17\\d\approx 35.05[/tex]

Thus, the Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

Learn more about the compound interest here;

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if we take 837 as the 100%, what is 97 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 837&100\\ 97&x \end{array}\implies \cfrac{837}{97}=\cfrac{100}{x}\implies 837x=9700 \\\\\\ x=\cfrac{9700}{837}\implies x\approx 11.59[/tex]

Answer:

0.16 pounds. I am pretty sure you just add up all the numbers. I hope this helps!

Step-by-step explanation:

Answer:

b= 58°

Step-by-step explanation:

32° +b +90°= 180° (adj. ∠s on a str. line)

b +122°= 180°

b= 180° -122°

b= 58°

What is adj. ∠s on a str. line?

Where did the 90° come from?

The number of senior, adults and children tickets sold are 22, 76 and 66 respectively.

The museum sells three types of tickets, including those for seniors, adults and children.

On Tuesday morning the  museum sold 164 tickets. Therefore,

Let

x = number of senior ticket sold.

The number of adult tickets sold was three times as many as senior tickets sold.

The number of child tickets sold was 10 more than the number of adult tickets sold. Therefore,

Total ticket sold = 3x + 10 + 3x + x

164 = 7x + 10

154 = 7x

x = 154 / 7

x = 22

Therefore,

number of senior ticket sold = 22

number of adult tickets sold = 3 (22) = 66

number of child tickets sold = 10 + 3(22) = 76

learn more on equations here: https://brainly.com/question/1242189

Answer:

Thoma is 11

Step-by-step explanation:

We can call Aldo 'a' and Thoma 't'.

"Aldo's age is three times Thoma's age" can be written algebraically as a = 3t

"The sum of their ages is 44" can be written as a + t = 44

Because we know that a = 3t, we can substitute this into the equation a + t = 44 to get 3t + t = 44. This can be simplified to 4t = 44. If we divide both sides by four we get t = 11. This means that Thoma is 11.

Hope this helps!

Answer:

( If this is correct please mark me brainly ty (^^)

Answer:

Step-by-step explanation:

Answer:

A [tex]1.3 - 5.6 = - 4.3[/tex]

Step-by-step explanation:

[tex]1.3 - 5.6 = - 4.3[/tex]

Hope this helps! Pwease mark me brainliest! Have a great day!

−xXheyoXx

Answer:

just answering so you can give the other person brainliest :D

Step-by-step explanation:

Answer:

it would just be 10a^5 since we dont know what a is

Step-by-step explanation:

Answer:

10a^5

To solve this problem, we first have to look at what we know and what we don't know.

We know we have to multiply 10 by a and then raise the result to the 5th power.

We don't know the value of a.

That means we just have to solve what we can.

10 x a = 10a

10a to the 5th power is 10a^5

Answer:

x=7

y=-54

z=82

Step-by-step explanation:

Hello! Let me see if I can help you!

I can't see the picture very clearly, but since it is a parallelogram, there are two sides that are parallel. That means that the opposite angles are equal to each other.

102=(-2y-6)

Solve for y:

6+102=-2y

y is equal to -54

For x and z its different because there needs to be a second equation:

(10x+8)=(z-4) is not satisfactory because it has two variables in it. Thus, we need another equation.

(z-4)+102=180 (This we know because a straight line is 180 degrees, and the two angles added together are a straight line.)

Solve for z, 180-102=z-4, z is equal to 82.

Finally, using (10x+8)=(z-4) use the already solved value for z, and then solve for x. X is equal to 7 when you solve that way.

Again I can't see the entire thing, but this is how I would try. Hope it works!

Answer:

50.24cm

Step-by-step explanation:

Yes, you got it right. The formula for circumference is pi times diameter, so 3.14x16=50.24. Hope this helps <3!

Answer:

-3.21 - x = 0

-x - 3.21 = 0

x = 3.21

Answer:

The answer that best fits the graph is C

Hope this helps! Have a great day/night!

Step-by-step explanation:

is the same as

[tex]x^5 + 3^5\\x^5 + 243[/tex]

Does that make sense

please mark brainest

Given expression :

[tex]{\qquad \sf \dashrightarrow{ (x+3)^{5} } }[/tex]

We need to simplify it.

We can write the expression as,

[tex]{\qquad \sf \dashrightarrow{ (x+3)^{} }{ (x+3)^{} }{ (x+3)^{} }{ (x+3)^{} }{ (x+3)^{} }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ (x+3)^{2} }{ (x+3)^{2} }{ (x+3)^{} }}[/tex]

We know that,

[tex]{\qquad \sf \dashrightarrow{ (a+b)^{2} } = {a}^{2} + 2ab + {b}^{2} }[/tex]

Now, using the formula in the expression:

[tex]{\qquad \sf \dashrightarrow{ (x {}^{2} + 2x.3 +3^{2}) }{ (x {}^{2} + 2x.3 +3^{2}) }{ (x+3)^{} }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ (x {}^{2} + 6x +9) }{ (x {}^{2} + 6x +9) }{ (x+3)^{} }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ ( {x}^{4} + 6 {x}^{3} + 9 {x }^{2} + 6x {}^{3} + 36 {x}^{2} + 54x + 9 {x}^{2} + 54x + 81 ) }{ (x+3)^{} }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ ( {x}^{4} + 12{x}^{3} + 54 {x }^{2} + 108x + 81 ) }{ (x+3)^{} }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: {x}^{5} + 12 {x}^{4} + 54 {x}^{3} + 108 {x}^{2} + 81x + 3 {x}^{4} + 36x {}^{3} + 162 {x}^{2} + 324x + 243 }}[/tex]

Adding the like terms we get :

[tex]{\qquad \sf \dashrightarrow{ \: {x}^{5} + 15 {x}^{4} + 90 {x}^{3} + 270 {x}^{2} + 405x + 243 }}[/tex]

Answer:

Step-by-step explanation:

f(2) = 6        (what multiplies 2 to equal 6?)*2 = 6

It seems like x gets multiplied by three. Let's check the next one:

f(-1) = -3

Ah ha! We were right. Let's check one more time:

2 * 3 = 6

-1 * 3 = -3

f(x) just means what is f when x is any number. This function that we covered above is: f(x) = 3x

Answer:

43 points

Step-by-step explanation:

(50 + 60 + x) / 3 = 51

(110 + x) / 3 = 51

110 + x = 153

x = 43

Using the z-distribution, as we have the standard deviation for the population, it is found that it does not appear that there is a difference.

At the null hypothesis, it is tested that there is no difference, that is, the mean of the distribution of the differences is of 0, hence:

[tex]H_0: \mu = 0[/tex]

At the alternative hypothesis, it is tested if there is a difference, hence:

[tex]H_1: \mu \neq 0[/tex]

It is given by:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

In which:

In this problem, the parameters are as follows: [tex]\mu = 1.11, s = 4.28[/tex].

Hence:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

[tex]z = \frac{1.11 - 0}{4.28}[/tex]

[tex]z = 0.26[/tex]

Considering a two-tailed test, as we are testing if the mean is different of a value, with a standard significance level of 0.05, the critical value is of [tex]|z^{\ast}| = 1.96[/tex].

Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, that is, it does not appear that there is a difference.

To learn more about the z-distribution, you can check https://brainly.com/question/26454209

Answer:

No answer but give me answer

Answer:

1331

Step-by-step explanation:

bc 9315/7 is a decimal so u round up

The area of the considered equilateral triangle is given by: Option D: [tex]24.2 \: \rm cm^2[/tex]

For a regular polygon (a polygon with all sides of same measure), the line segment drawn from the center of the polygon to the mid point of a side of the polygon is called apothem.

Referring to the attached figure below, for the considered case,  we're given that:

Since all sides of an equilateral triangle are same, let they be of 'x'  cm length for this case, then:

[tex]Perimeter = x + x + x = 22.45\\\\x = \dfrac{22.45}{3} \approx 7.48 \: \rm cm[/tex]

Since the equilateral triangle has all same sides, all three triangles AOC, AOB, and BOC are congruent and have same area.

The area of ABC = Area of AOC + Area of AOB + Area of BOC = 3 × Area of AOC

The area of AOC = half of base times height. The height is length of the apothem since because of symmetry in right and left of the apothem, it is standing with equal angle on both sides of AC, thus, half of straight line angle, therefore of 180/2 = 90 degrees, thus, perpendicular.

Area AOC =  [tex]\dfrac{1}{2} \times |AC| \times |OD| \approx \dfrac{1}{2}{ \times 7.48 \times 2.16 \approx 8.078\rm \: cm^2[/tex]

Thus, area of ABC = 3 × Area of AOC = [tex]3 \times 8.078 \approx 24.2 \rm \: cm^2[/tex]

Thus, the area of the considered equilateral triangle is given by: Option D: [tex]24.2 \: \rm cm^2[/tex]

Learn more about apothem here:

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Answer:

r=0.05m+24.95

Step-by-step explanation:

5 cents represents the money per mile. The number of miles driven changes, therefore changing the amount of the equation as a whole. The 24.95 is not changing, so it is just added on in the expression.

Answer:

x=10

Step-by-step explanation:

Given x-15=-5

add both sides by 15

x-15+15=-5+15

x=10

Step-by-step explanation:

how many -4 are there

Answer:

Rewrite the addition of groups as a mu of groups. (-4) + (-4) + (-4) + (-4) + (-4) =​

Step-by-step explanation:

Rewrite the addition of groups as a mu of groups. (-4) + (-4) + (-4) + (-4) + (-4) =​Rewrite the addition of groups as a mu of groups. (-4) + (-4) + (-4) + (-4) + (-4) =​

Answer:

10

Step-by-step explanation:

50*0.2 = 10

Step-by-step explanation:

20%×50

use p% =P

10

200× 50

100

1×5= 50

Answer= 10