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Answer:

$21,240

Step-by-step explanation:

8 percent *9000 =

(8:100)*9000 =

(8*9000):100 =

72000:100 = $720 per years of interest

720* 17

= 12,240

12,240+9,000

= 21,240

Answer:

3rd option

Step-by-step explanation:

A direct variation is expressed in this form:

y = kx

1. y - 4x = 8

y = 4x + 8 is not a direct variation

2. y + 2 = 7x

y = 7x - 2 is not a direct variation

3. y - 3x = 0

y = 3x is a direct variation

4. y = 5x - 2

y = 5x - 2 is not direct variation

Step-by-step explanation:

4a)

the principle of similar triangles : they have the same angles.

and we do not forget : the sum of all angles in a triangle is always 180 degrees.

a = 180 - 65 - 45 = 70 degrees

b = 65 degrees

c = 70 degrees

b)

same principles.

x = 58 degrees

y = 52 degrees

z = 180 - 58 - 52 = 70 degrees

c)

same principles.

plus the fact that complementary angles around a point on one side of a line are also together 180 degrees.

x = 85 degrees

y = 180 - 40 - 85 = 55 degrees

z = 180 - 85 = 95 degrees

d)

again same principles.

y = 2x (as these 2 angles correspond to each other among the 2 similar triangles).

the angle POQ is again complementary with 87 degrees,

POQ = 180 - 87 = 93 degrees

x + y + 93 = x + 2x + 93 = 180

3x = 87

x = 29 degrees

y = 2x = 2×29 = 58 degrees

The question is asking us to make the denominator a rational function by finding a way to remove the square root without changing the value of the overall function.

We can do this by multiplying the denominator and numerator by the √(4x + 7), since multiplying a root term by that root term = the number being rooted  (√x × √x = x).

   - 5x⁴         ×      √(4x + 7)    =    (-5x⁴)(√(4x + 7))  

√(4x + 7)              √(4x + 7)                 4x + 7

Answer:

70 i think i dont know for sure

Step-by-step explanation:

40 x 70

__________

100

= 28

⇒ 3x² - 5x = 0

⇒ (3x - 5) · x = 0

3x - 5 = 0

x = 0

x = 0, 5/3

Using the distributive property with FOIL:

(3n + 2) ( n + 3)

3n² + 9n + 2n + 6

3n² + 11n + 6

Answer: 67.8°

Step-by-step explanation:

A quadrilateral's interior angles always add up to 360°.

An equality statement can be set up to satisfy this rule:

103.8+77+111.4+p=360

Collect known values

292.2+p=360

Isolate and solve for p

292.2 (-292.2) +p=360 (-292.2)

p=67.8

Answer:

68.6

Step-by-step explanation:

hello sir / mam!

as the opposite sides of quadrilateral should be 180°

111.4+p=180°

p=180-111.4

p=68.6°

therefore the value of p = 68.6°

hope it helps!

Answer:

-20xi -4x

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:    17

Step-by-step explanation:  

Answer:

x=[tex]\sqrt{220}[/tex]

Step-by-step explanation:

Since this is a right angle triangle, and we have two lengths already found, we can use pythagoras to find x.

We know that  

a²+b²=c²

Where a, and b are the smaller lengths (the adjacent and opposite), and C is always the longest one (the hypotenuse).

In this case,

x=a

b=6

c=16

So to plug these into the equation, we get:

x²+6²=16²

To isolate x,

we get:

x²=16²-6²

x=[tex]\sqrt{16^2-6^2}[/tex]

[tex]x=\sqrt[]{220}[/tex]

_________

[tex] \: [/tex]

x² = 16² - 6²

x² = 256 - 36

x² = 220

x = √220

x ≈ 14.9cm

Answer:

Straight line is 180 degrees

Subtract what you know 180-55-90 = 35

(6r-7)=35

35-7=28

28/6=4.66666

r=4.6666

Answer:

7

Step-by-step explanation:

90(right angle) + 55(Acute angle) = 145.

We know the whole angle equals 180 because it is 2 right angles. 90 + 90.

So, we will do 180 - 145 = 35.

Now we know our mystery angle equals 35.

To figure out r, we will do 35 + 7 = 42.

Then, 42 is divided by 6 and gets 7.

Therefore, 7 would be your answer.

-kiniwih426

Answer:

line L1 and line L2 passes L2.

The x-coordinate of the point where L2 meets the x-axis is (1, 4).

The equation of the straight line has its slope and given point.

The equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)

m is the slope of the unknown line (x₀, y₀) is the given point.

First is to get the slope of the known line:

The standard equation of the line

y = mx+c, it can be seen that m = 2

Then we will calculate the slope of the required line.

Since L1 is perpendicular to L2, the product of their slope will be -1 so,

mm₁ = -1 where m₁ is the slope of the required line L2.

Given m =2

m₁ = -1/m

m₁ = -1/2

Now we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;

y-y₀ = m(x-x₀)

Given (x₀, y₀) = (2, 1) and m₁ = -1/2

y-2 = -1/2(x-1)

open the parenthesis;

y-2 = -x/2+1/2

multiply through by 2:

2y-4 = -x+1

2y+x = 1+4

2y+x = 5

Hence, the equation of the line L2 is 2y+x = 5

Therefore, the x-coordinate of the point where L2 meets the x-axis is (1, 4).

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Answer:

it would be 15 or 14 that only came up when I did it

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The salary differences are found to be statistically significant.

Statistical significance refers to the claim that a result from data generated by testing or experimentation is not likely to occur randomly or by chance but is instead likely to be attributable to a specific cause.

It is given that

Average 6 foot plus male’s salary = $55,000

Average male’s salary under 6 foot tall = $47,000

p-value = 0.45

As the p-value 0.45 is greater than p-value 0.05,

So statement men over 6 feet tall earn more than men under 6 feet is acceptable, we can say that salary differences are statistically significant.

Therefore, The salary differences are found to be statistically significant.

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Answer:

1.3235

Step-by-step explanation:

If you take 2.2 and subtract .8765 from it you get 1.3235. If you take that and subtract it from 2.2 you get .8765.

(a) The amount that is deducted from each of Page's paychecks semimonthly is $717.

(b) The amount deducted per week is option A, $29.23.

(a) Given that:

The amount earned by Page semimonthly = $1320

Total cost for the insurance plan = $2868

The school pays 75 per cent of the cost.

The percentage of the insurance cost that Page has to pay = 100% - 75% = 25%.

The amount deducted from the paycheck of Page is:

A = 25% × $2868

  = $717

(b) Given that:

The annual cost of medical insurance = $3500

The percentage of this insurance he has to pay = 100% - 60% = 40%.

Annual deduction from his paycheck = 40% × 3500

                                                              = $1400

The annual cost of travel insurance = $1200

The percentage of this insurance he has to pay = 100% - 90% = 10%.

Annual deduction from his paycheck = 10% × 1200

                                                              = $120

Total amount deducted per year = $1400 + $120

                                                       = $1520

Number of weeks in a year = 52 weeks

The amount deducted per week = [tex]\frac{1520}{52}[/tex]

                                                       = [tex]$29.23[/tex]

Hence, the correct option is A. $29.23.

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Answer:

Step-by-step explanation:

The explanatory variable (or the independent variable) always belongs on the x-axis (represented as the first column of the table).

The response variable (or the dependent variable) always belongs on the y-axis (represented as the second column of the table).

According to the explanation above the correct choice is A

Answer:

C: In the trigonometric regression model, the explanatory variable is time and the response variable is the height.

Step-by-step explanation:

A quadratic regression model is a parabola. If time is x and height is y, it doesn't make sense if the height is 3,600 feet after a minute. (Not to scale) A trigonometric regression model is a sine wave like a sound wave. This makes sense because the Ferris wheel can only go so high. So after a minute, the height might be 8 feet. (Not to scale)

An explanatory variable is what what you manipulate or observe changes in.

A response variable is what changes with the explanatory variable.

For example, age would be an explanatory variable while height would be the response variable. Or, a caffeine dose would be explanatory, while say reaction time would be the response.

Answer:

$9

Step-by-step explanation:

A video store is selling previously owned DVDs for 40% off the regular price of $15. What is the sale price of the DVDs?

40% = 0.4

15 * 0.4 = $6 (Discount)

15 - 6 = $9 (Sale Price)

Therefore the Answer is: $9

Answer:

4x+31

Step-by-step explanation:

2(x + 4) – 3(x – 6) + 5(x + 1)

Distribute

2x+8 -3x+18 +5x +5

Combine like terms

2x-3x+5x  +8+18+5

4x+31

Step-by-step explanation:

x1+x2 = (-1-√2)/3 + (-1+√2)/3

= -2/3

(x1) (x2) = (-1-√2)/3 × (-1+√2)/3

= -1/9

the equation :

x² -(-2/3)x + (-1/9) = 0

x² + ⅔ x - 1/9 = 0

Answer:

8.25+50

Step-by-step explanation:

Answer:

−x^6−2x^5+x^2+2x

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

(original value - new value / original value) x 100

So

4 - 3 = 1

1/4 = 0.25

0.25 x 100 = 25

So there was a 25% decrease in the number of apples bought.

Hope it helps :)

Answer:

ME TOO

Step-by-step explanation:

Function transformation involves changing the position of a function.

The relationship between f(x) and g(x) is (d) The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).

The functions are given as:

[tex]\mathbf{f(x) = x}[/tex]

[tex]\mathbf{g(x) = -5f(x) + 2}[/tex]

Substitute x for f(x) in g(x)

[tex]\mathbf{g(x) = -5x + 2}[/tex]

The +2 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) is gotten by translating f(x) up by 2 units.

The -5 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) has a steeper slope.

Hence, the correct option is (d)

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Answer:

i think it is 110

Step-by-step explanation:

sorrt if i am wrong

X - 2 = 10

To solve for x add 2 to both sides of the equal sign:

X = 12

Answer:

x = 12

Step-by-step explanation:

Add 2 to both sides of the equation

x−2=10

−2+2=10+2

Simplify

Solution:

x = 12

Answer:

the place value changes by dividing by 10 or multiplying by 10. take one and go right on the number line you get 10. go left from 1 and you get 0.1