Clint’s salary increased from $20,000 to $32,000 over a three year period. Helen’s salary increased from 27,000 to $43,200 over the same period. Whose salary increased more in absolute terms? In relative terms? Explain.

Answer:

12 miles

Step-by-step explanation:

Since, Sumalee ran 34 miles more than Heather.

therefore

Distance run by Sumalee = Distance run by Heather + 34 miles

S = H + 34

But, S = 46 miles (given)

So, 46 = H + 34

H = 46 - 34

H = 12 miles

Distance run by Heather = 12 miles

Answer:

The answer is NO SOLUTION -> there are no values of y that make the equation true.

Step-by-step explanation:

Hope this helps :)

Check the picture below.

Answer:

2 60in 56 going in the 60 two weeks 46ms

Answer:

The difference is that when evaluating you would have to use multiplication but with, evaluating it needs both multiplication and division. It depends on the equation though.

Step-by-step explanation:

Answer:

j = 47

k = 7

Step-by-step explanation:

Hi there!

r = 9i-7

To find j, replace i with 6:

j = 9(6)-7

j = 54-7

j = 47

r = 9i-7

To find k, replace r with 56:

56 = 9k-7

63 = 9k

7 = k

I hope this helps!

Answer:

square root of 116.33=10.7856385995

10.79

Hope This Helps!!!

Answer:

the exact answer is 2 1522/1529. sadly this cannot be simplified

Answer:

  2 1522/1529 ≈ 2.995422

Step-by-step explanation:

Division of mixed numbers with different denominators is often best done by converting each to an improper fraction. Then, the division can be accomplished by multiplying the dividend by the reciprocal of the divisor.

  20 9/11 = (20∙11 +9)/11 = 229/11

  6 19/20 = (6∙20 +19)/20 = 139/20

The division problem then becomes ...

  20 9/11 ÷ 6 19/20 = (229/11) × (20/139) = (229∙20)/(11∙139)

  = 4580/1529 = 2 1522/1529

__

Your calculator may be able to help you with this. Many modern calculators work nicely with fractions and mixed numbers.

Answer:

1

Step-by-step explanation:

To find the slope take two points on the line

(-1,0) and (0,1)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 1-0)/(0- -1)

    = (1-0)/(0+1)

    = 1/1

  = 1

Answer:

No it isn't a true statement

Step-by-step explanation:

I chose the Value 3 for it to be a true statement both sides would equal eachother

5×3+2×3²=7×3

5×3+2×9=21

15+18=21

33=21

i got two different values so this answer would be false

Answer:

  (6, 2), (0, -2), (-3, -4)

Step-by-step explanation:

The intercepts are clearly (0, -2) and (3, 0). This eliminates the bottom two choices.

Both of these are listed in the upper left choice, but the third point there, (-6, -5), is not on the graph. This leaves only the upper right choice. Checking the remaining two points in that choice, (6, 2) and (-3, -4), confirms they are both on the graph.

Answer:

2 - 2 cos²x = sin x

2 = sin x + 2 cos² x

0 = -2 + sin x + 2(1 - sin² x)

0 = -2 sin² x + sin x + 2 - 2

0 = 2 sin² x - sin x 0 = sin x (2 sin x - 1)

sin x = 0 v sin x = 0.5

x10° + k.360° x1 = 0°, 360°

x2 = (180° - 0°) + k.360°

x2 = 180°

x3 = 30° + k.360°

x3 = 30°

x4 = (180° -30°) + k.360° x4 = 150°

HP: {x | 0°, 30°, 150°, 180°, 360°)

Answer:

it is 8% trust

Step-by-step explanation:

Answer:

Convenience sampling method.

Step-by-step explanation:

The researcher chooses a sample that is readily available in some non-random way. Example—A researcher polls people as they walk by on the street.

Answer:

Step-by-step explanation:

None of the above

Answer:

Approach 1: Mathematical Approach

Domain is the possible inputs or x values of a function

Here we can use any x values greater than or less than 7. We can also use 7 since their is a a function defined for x greater than or equal to 7.

So the domain is (-♾, ♾).

The range is possible y values. Since we can use negative x values, if we plug in x values for the function -5/7x+1, we are going to get positive numbers, as we plug in higher negative numbers, our range is bigger.

This means the range is bounded to -4 so our range is

(-4,♾)

Approach 2: Graphical Approach

Above is the graph

It can take any x values so the domain is (-♾, ♾).

The range is (-4,♾).

Step-by-step explanation:

Firstly, notice that this shape is composed of ³/₄ of a circle and ¹/₂ of a square;

The lower left part is the ¹/₂ square, with only 2 sides (a left and lower side) of length 3 units;

The perimeter of this part of the shape is simply the sum of the two sides:

3 + 3 = 6

The remaining part is the ³/₄ circle, which has a radius of 3 units;

The circumference of a circle is found by the formula:

πd

d = diameter = 2 × radius

We only have ³/₄ of the circle, however, so we only have ³/₄ the circumference:

³/₄ × π(2(3)) = ³/₄ × 6π

= ⁹/₂π (or, equally, 4.5π)

So the total perimeter is the sum of the perimeter of the ¹/₂ square and the ³/₄ circle:

4.5π + 6

Answer:

red paint(4) plus the blue paint (3)= 7

fraction; 4/7

Answer:

Well you can start by dividing 20 by 2 because that would give you the half that you finished in class 24 divided by 2 =12 if you finish four more you wound have 12-4=8 you have 8 problems left and now you have to find the fraction so start with 8/24 and then simplify your answers would be 1/3

Answer:

Answer: Angle 2

Step-by-step explanation:

[tex]{ \tt{ \red{ \sin( A) = \frac{opposite}{hypotenuse} }}} \\ \\ { \tt{ \sin(2) = \frac{0.5}{1.3} }} \\ \\ { \tt{ \sin(A) = \sin(2) = 0.3846 }}[/tex]

Answer:

If all you care about is whether you roll 2 or not, you get a Binomial distribution with an individual success probability 1/6. The probability of rolling 2 at least two times, is the same as the probability of not rolling 2 at zero or one time.

the answer is, 1 - bin(k=0, n=4, r=1/6) - bin(k=1, n=4, r=1/6). This evaluates to about 13%, just like your result (you just computed all three outcomes satisfying the proposition rather than the two that didn’t).

Step-by-step explanation:

The  probabilities of getting :

O Threes is 0.48

1 Three is  0.095

2 Threes is 0.019

3 Threes is 5/1296

4 Threes is 1/1296

the total out come = 6* 6* 6* 6 =1296

Find the probabilities of getting

O Threes =(5/6)^4 = 0.48

1 Three = 1/6*(5/6)^3 = 0.095

2 Threes = 1/6* 1/6* 5/6 *5/6 =0.019

3 Threes = 1/6* 1/6* 1/6 *5/6 = 5/1296

4 Threes =(1/6 )^4 =1/1296

To learn more probability about refer,

https://brainly.com/question/24756209

#SPJ2

Answer:

  B. Configuration B has a higher probability of an aisle seat.

Step-by-step explanation:

Each configuration has the same number of seats in every row. That means we can determine the probability Dan will be assigned an aisle seat by considering only one row.

In configuration A, each row has 6 seats, of which 2 are aisle seats. The probability of being assigned an aisle seat is ...

  p(aisle) = 2/6 = 1/3 . . . . configuration A

In configuration B, each row has 9 seats, of which 4 are aisle seats. The probability of being assigned an aisle seat is ...

  p(aisle) = 4/9

Since 4/9 > 1/3, Dan should hope his flight uses configuration B.

Answer:

95

Step-by-step explanation:

Do 14 + 19 + 25 + 10 + 7 + 10 + 5 + 5

Step-by-step explanation:

add everything together one by one to make it easy for yourself

Answer is 2 cups.

Please check attached image.

~ Benjemin360

Answer:

Player B

Step-by-step explanation:

Player B is more consistent because their sample standard deviation of [tex]\sigma=1.2[/tex] is less than that of Player A's sample standard deviation of [tex]\sigma=2.3[/tex], so it creates less variance from Player B's mean number of strokes and has more consistency.

Answer:

Step-by-step explanation:

We need unit price per mile

Spare way

But we can solve it through ratios if time is same

Answer:

$44.10

Step-by-step explanation:

Given:

To find the cost per mile, divide the total given cost by the given number of miles:

⇒ Cost per mile = $57.60 ÷ 64 = $0.90

To find the cost of a 49 mile tax ride, multiply the cost per mile by 49:

⇒ Cost of 49 mile tax ride = $0.90 × 49 = $44.10

We can use ratios of cost to miles to find the solution.

Let x = cost of a 49 mile taxi ride

[tex]\begin{aligned}\sf \$57.60:64 & = \sf x:49\\\sf \dfrac{57.6}{64} & =\sf \dfrac{x}{49}\\\sf 57.6(49) & = \sf 64x\\\sf 2822.4 & = \sf 64x\\ \sf x&= \sf \dfrac{2822.4}{64}\\ \sf x & = \sf \$44.10\end{aligned}[/tex]

1. It takes 5 months to pay off the higher-interest card first.

2. The amount of the last payment on the higher-interest card is $232.89.  It is the balance plus interest in the fifth month.

3. After paying down the debt on the lower-interest card in the 5th month, the balance of the lower-interest card is $338.77.  

The principal has been reduced.  The interest is worked on the reduced principal.

4. If the lower-interest card is paid off first, while the interest on the higher-interest card is paid, the tables would look like the following:

Month                          1            2             3              4               5        6        7

Principal                1,311.48   1,311.48  1,297.73 1,028.80 732.71   406.71 47.79

Interest accrued    132.46    132.46      131.07    103.91   74.00     41.08  4.83

Payment                132.46    146.21    400.00   400.00 400.00  400.00  52.62

Ending balance   1,311.48  1,297.73 1,028.80    732.71  406.71     47.79    0

Month                        1              2               3               4              5             6  

Principal                475.00   238.34         0            0         0          0    

Interest accrued     30.88      15.49         0            

Payment               267.54    253.79         0              

Ending balance   238.34        0                0   0  

5. The savings by paying off the higher-interest card first is $91.86.  This is the difference in interest by choosing to pay off the higher-interest card first before the lower-interest card.

Higher-Interest Card:

Month                                     1          2                 3           4               5        6  

Principal                        1,311.48    1074.82    814.26    527.38     211.53      

Interest accrued            132.46      108.56     82.24      53.27       21.36      

Payment (on due date) 369.12      369.12    369.12     369.12   232.89      

Ending balance          1,074.82      814.26   527.38      211.53       0      

Lower-Interest Card:

Month                        1              2               3               4              5             6  

Principal                475.00   475.00     475.00     475.00   475.00     338.77    

Interest accrued     30.88     30.88       30.88       30.88     30.88       22.02    

Payment                  30.88    30.88        30.88       30.88     167.11     360.79  

Ending balance    475.00  475.00     475.00     475.00   338.77         0  

Total interest incurred under each method:

Higher-interests:

1st method: 132.46    132.46      131.07    103.91   74.00     41.08  4.83 = $619.81

2nd method:  132.46      108.56     82.24      53.27       21.36    = $397.89

Lower-interests:

1st method:  30.88      15.49         0       $46.37

2nd method: 30.88     30.88       30.88       30.88     30.88       22.02 $176.43

$619.81 + $46.37 = $666.18

$397.89 + $176.43 = $574.32

Difference = $91.86

Card Name    (APR %)    Existing Balance     Credit Limit

MarK2             (6.5%)             $475.00             $3,000.00

Bee4               (10.1%)             $1,311.48            $2,500.00

You have $400.00 each month to payoff these 2 credit cards. You decide to pay only the interest on the lowest interest card and the remaining amount to the other card.

Learn more about interests on credit cards at https://brainly.com/question/4403314

Answer:

Your answer is C. 8.

Step-by-step explanation:

Amplitude: 2

Period: 8

Vertical Shift: 3