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3 years ago

PLEASE HELP PERSONAL FINANCE / LAUNCH QUESTION

Mathematics

1 answer:

Kobotan [32]3 years ago

3 0

Answer:

option d: 25% unfavorable

Step-by-step explanation:

The budget is $40, and it was spent $50, so as the amount spent was higher than the budget, we have a unfavorable percent of variance.

The amount spent more than the budget was:

50 - 40 = 10

Now to calculate the percent of variance, we divide the value spent more than the budget (10) by the value of the budget (40)

Percent of variance = 10 / 40 = 0.25 = 25%

So the answer is 25% unfavorable, option d

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$547

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2 years ago

3x To the power of -2 X 4x To the power of -3

damaskus [11]

Answer:

Answer = $12 x^{-5}$

Step-by-step explanation:

Step 1:-

simplifying $3 x^{-2} × 4 x^{-3}$

$3 × 4(x^{-2} )(x^{-3} )$

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3 years ago

Determine the x and y intercepts<br>2x-3y=48

qaws [65]

Answer:

x-intercept is 24 , y-intercept is -16

Step-by-step explanation:

* Lets explain how to solve the problem

- The x-intercept is the x-coordinate of the point of intersection

between the graph of the equation and the x-axis ⇒ (x , 0)

- To find the x-intercept substitute the value of y in the equation by 0

- The y-intercept is the y-coordinate of the point of intersection

between the graph of the equation and the y-axis ⇒ (0 , y)

- To find the y-intercept substitute the value of x in the equation by 0

* Lets solve the problem

∵ 2x - 3y = 48

- To find the x-intercept substitute y by 0

∴ 2x - 3(0) = 48

∴ 2x = 48

- Divide both sides by 2

∴ x = 24

∴ The graph intersects the x-axis at point (24 , 0)

* The x-intercept is 24

∵ 2x - 3y = 48

- To find the y-intercept substitute x by 0

∴ 2(0) - 3y = 48

∴ -3y = 48

- Divide both sides by -3

∴ y = -16

∴ The graph intersects the y-axis at point (0 , -16)

* The y-intercept is -16

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4 years ago

Solve the equation -1/3m -7=5

Naddik [55]

-1/3 m - 7 = 5

add 7 to each side

-1/3 m = 12

multiply by -3 to each side

m = -36

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3 years ago

Dana has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the ra

Sedaia [141]

Answer:

2hrs 40 minutes

Step-by-step explanation:

The formula for distance is expressed as:

$d=st, s=speed, t=time$

#The time taken to run:

$d=st\\\\t=d/s\\\\t_r=d/8$

#The time taken to walk:

$d=st\\\\t=d/s\\\\t_w=d/2$

#Since the distances are the same:

$d_r=8t_r,d_w=2t_w\\\\8t_r=2t_w\\\\t_r+t_w=4->t_w=4-t_r\\\\\therefore8t_r=2(4-t_r)\\\\8t_r=8-2t_r\\\\t_r=1\frac{1}{3} \hrs\\\\t_w=4-1\frac{1}{3}=2\frac{2}{3}\ hrs$

Hence, Dana spends 2hrs 40 minutes walking back

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3 years ago