A house increased in value by 36 percent since it was purchased. If thw current value is 306000 what was the value when it was purchased

Answer:

A. (1, 2) and (4, 3)

B. Slope (m) = ⅓

C. y - 2 = ⅓(x - 1)

D.[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

E. [tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]

Step-by-step explanation:

A. Two points on the line from the graph are: (1, 2) and (4, 3)

B. The slope can be calculated using two points, (1, 2) and (4, 3):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 1} = \frac{1}{3} [/tex]

Slope (m) = ⅓

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (1, 2), and m = ⅓ into the point-slope equation, y - b = m(x - a).

Thus:

y - 2 = ⅓(x - 1)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y - 2 = ⅓(x - 1)

3(y - 2) = x - 1

3y - 6 = x - 1

3y = x - 1 + 6

3y = x + 5

[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

E. Convert the equation in (D) to standard form:

[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

[tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]

Answer:

26 cm

Step-by-step explanation:

Diagonal of the box using Pythagorean Theorem can be calculated using the formula:

a² + b² + c² = d²

Where,

d = diagonal of the box = ??

a = length = 24 cm

b = width = 8 cm

c = height = 6 cm

Plug in the value into the formula

24² + 8² + 6² = d²

576 + 64 + 36 = d²

676 = d²

√676 = d

d = 26 cm

Answer:

Yes

Step-by-step explanation:

Answer:

Yes he is

Step-by-step explanation:

Answer:

what sequence bruv

Step-by-step explanation:

theres nofin there

Answer:

ertg4b4tgedx3sfqawe ctxdsfawectdfsqeretcxf

Step-by-step explanation:

rt4wqcxdewqcrxfxdfewccrxweccsfcdsxdcrcwe

Answer:

angle 7= 66

Step-by-step explanation:

Angle 1 is equal to the 114 degrees. And angle 1 + angle 7 = 180. So it would be 114 + angle 7 = 180. So you do 180-114 = 66. So angle 7= 66.

The other way is that 114 + angle 6 = 180, so you do 180-114= 66.

And agle 6 is equal to angle 7, so that's another way you can know that angle 7= 66

Answer:

the slope is undefined

Step-by-step explanation:

slope = y2 - y1

___________

x2 - x1

slope = (-10-0) / {-4 - (-4 ) }

slope = -10 / (-4 + 4)

slope = -10 / 0

slope = undefined

note - Any number divided by zero is undefined

Given:

Total number of spins = 100

Probability that he would spin a prime number to be 0.35.

To find:

The theoretical probability of spinning a prime number.

Solution:

Total numbers from 1 to 100 = 100

Total prime numbers from 1 to 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

So, the prime numbers from 1 to 100 = 25

Now, the probability of spinning a prime number is

[tex]\text{probability}=\dfrac{\text{Total prime numbers from 1 to 100}}{\text{Total numbers from 1 to 100}}[/tex]

[tex]\text{probability}=\dfrac{25}{100}[/tex]

[tex]\text{probability}=0.25[/tex]

Therefore, the theoretical probability of spinning a prime number is 0.25.

Answer:

Step-by-step explanation:

G is the incenter of ΔABC,

Incenter of a triangle is defined by the point where angle bisectors of the interior angles intersect.

10). m∠ABG = m∠CBG = 25°

11). m∠BCG = m∠ACG = 18°

  Therefore, m∠BCA = m∠BCG + m∠ACG = 2×18° = 36°

12). m∠ABC + m∠BAC + m∠ACB = 180°

  2(25)° + m∠BAC + 36° = 180°

    m∠BAC = 180° - 86° = 94°

13). m∠BAG = [tex]\frac{1}{2}[/tex](m∠BAC) = 47°

14). Since, incenter is equidistant from all sides of the triangle,

     Therefore, DG = GF = FE = 4 units

15). In right triangle BEG,

     tan(25)° = [tex]\frac{\text{GE}}{\text{BE}}[/tex]

     BE = [tex]\frac{\text{GE}}{\text{tan}25}[/tex]

           = [tex]\frac{4}{\text{tan}25}[/tex]

     BE = 8.6

16). In right triangle BEG,

     cos(25)° = [tex]\frac{\text{4}}{\text{BG}}[/tex]

     BG = [tex]\frac{4}{\text{cos}25}[/tex] = 4.4

17). In right triangle GEC,

    sin(18)° = [tex]\frac{\text{GE}}{\text{GC}}[/tex]

    GC =  [tex]\frac{\text{4}}{\text{sin}(18)}[/tex] = 12.9

Answer:$5.80

Step-by-step explanation:

if you multiply 1.29 by 4.5 then you get 5.80500 which assuming you're talking about money rounds to $5.80

Answer:

50.24 [tex]m^{2}[/tex]

Step-by-step explanation:

The formula to find the area of a circle is [tex]\pi r^{2}[/tex]. The radius of this circle is 4 because the radius is half the diameter. Since [tex]\pi[/tex] is an irrational number (whose digits goes on forever without repeating), people use use the first three numbers which are 3.14. Substitute 4 for r and 3.14 for [tex]\pi[/tex] into the formula, and you’ll get 50.24, and the answers also have the [tex]m^{2}[/tex] part too because your finding the area of a shape.

Hope this helps! :)

Answer:

Yes

Step-by-step explanation:

84/4=21/1 vs 28/1

Answer:

Slower

Step-by-step explanation:

If you divide 84/4, you get 21. This is the amount that she types per minute. 21 words per minute is less than 28.

Answer:68.055

Step-by-step explanation:Google said so ;))

Answer:

b

Step-by-step explanation:

Answer:

Since the calculated value of t= 2.8782 does not fall in the critical region so we accept H0 and may conclude that  the drug is not effective in increasing sleep.

Step-by-step explanation:

d              d²

1.0,          1

0.8,         0.64

1.1,           1.21

0.1,          0.01

- 0.1,       0.01

4.4,        19.36

1.5,          2.25

1.6,          2.56

4.6,         21.16

3.4          11.56

∑18.4      ∑59.76

1: We state our null hypothesis  as

H0 : μd= 0     against the claim Ha: μd ≠ 0  

2: The significance level is set at ∝  = 0.01

3: The test statistic under H0 is

        t= d`/ sd /√n

4:The critical region is t ≥ t ( 0.005) 9 = 3.250

5:Computation:

d`= ∑d/n= 18.4/10= 1.84

Sd² = ∑(di- d`)²/n-1 = 1/n-1 [∑di²- (∑di)² /n]

       = 1/9 [59.76 - (18.4)²/10]

        =(59.76 - 33.856)/9

          = 25.904/9

          = 2.8782

6: Conclusion:

Since the calculated value of t= 2.8782 does not fall in the critical region so we accept H0 and may conclude that  the drug is not effective in increasing sleep.

This is because we have taken H0 as the mean of the difference is zero.

This can only be zero when the drug is not effective.

Answer:

Ben and Jill travel exactly the same distance to the school

Answer:

1/4x+3

Step-by-step explanation:

1/4(8+x+4)

1/4 *8 + 1/4*x+1/4*4

2+1/4x+ 1

1/4x+3

Hope this helps you!

Happy holidays!

Have a merry christmas and new year!

Answer:

2+1/4x+1

3+1/4x

Step-by-step explanation:

There you go final answe is

3+1/4x

Answer:

3.

Step-by-step explanation:

3 divided by 1 equals 3.

Please mark me brainliest I need it!!!

Answer:

0.45134

Step-by-step explanation:

Given that :

p = 0.6

n = 400

Probability that sample. Proportion falls between 0.59 and 0.62

Using Normal approximation :

Mean (m) = n * p = 400 * 0.6 = 240

Standard deviation (s) = sqrt(pq/n)

q = 1 - p = 1 - 0.6 = 0.4

s = sqrt((0.6 * 0.4) / 400) = 0.0244948

P(0.59 < p < 0.62) :

(x - m) / s

P((0.59 - 0.6) / 0.0244948) < p < P((0.62 - 0.6) / 0.0244948)

P(Z < −0.408249) < p < P(Z < 0.8164998)

Using the Z probability calculator :

0.79289 - 0.34155 = 0.45134

9/18

Divide by 9

9/9=1

18/9=2

Answer : 1/2

Answer:

Opposite

Step-by-step explanation:

The given figure has the same orientation.

Figures are shown, Do these figures have the same or the opposite orientation is to be determined.

the action or process of orienting or the circumstances of existing oriented. placement or position in relation to the points of the compass or other precise directions. the adjustment or alignment of oneself.

As per definition, let's assume the point at mid of H and mid of o when joined that point a line will form on both the hello, across that line thing between two images is same that why these two images have the same orientation. Each point on both the images has a fixed distance and angle to the imaginary line formed(we assumed).

Thus, the given figure has the same orientation.

Get more information about orientation here:
https://brainly.com/question/12049504
#SPJ5

Answer:

Remove the variable from the Model

Step-by-step explanation:

Normally, when considering which variable to keep and which one to drop when considering testing of the contribution of an individual regressor variable to the model, generally speaking we use one explanatory variable for between 10-15 observations.

Now, before we run our regression, we would need to run correlation analysis between all explanatory variables to detect if there's any multicollinearity, and also between the dependent variable and the regressors in order to determine the most important predictors to be included in the regression.

So after the analysis, for the null hypothesis not to be rejected, we will remove the variable from the Model.

Answer:

3

Step-by-step explanation:

Using any two pairs from the table if values, say, (5, 16) and (7, 22), the slope of the line is the change in y over change in x.

Thus:

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (5, 16) = (x_1, y_1) [/tex]

[tex] (7, 22) = (x_2, y_2) [/tex]

Plug in the values

[tex] slope (m) = \frac{22 - 16}{7 - 5} = \frac{6}{2} = 3 [/tex].

Slope of the line is 3.

Answer:

The equation for the line is y = 2/5x + 24/5

Step-by-step explanation:

If you need the exact points, go to m4thway and plug that equation in.

Answer:

80ft

Step-by-step explanation:

check gogle and write the awenser down

Answer:

15.5

Step-by-step explanation:

I can help with this. He doesn't tell how many dollars she earned from her dad but tells you what is left. So we add 13.73 + 1.77

We add because She used to spend it and because she only gave us what was left. We want to push it to what it was before so we do the opposite.

13.73 + 1.77 = 15.5

I am not really sure of what the words are on the last part but i think u can figure it out. My answer is 15.5 but if you aren't asking for this just ignore it.

Answer:

b

c

40

Step-by-step explanation:

I have already had this question before.

Answer:

2

Step-by-step explanation:

[tex] \frac{x}{8} = \frac{3}{12} \\ \\ x = \frac{8 \times 3}{12} \\ \\ x = \frac{24}{12}\\ \\ x = 2[/tex]

Answer:

Nvm misread question

Step-by-step explanation:

one second please