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postnew [5]
3 years ago
9

Jeff puts no more than 10% of every paycheck into savings. This month he earned $540. Which of the following statement is true?

Mathematics
2 answers:
AnnyKZ [126]3 years ago
8 0

The answer is b , Jeff had at least $54 after he put money away in savings .

ankoles [38]3 years ago
7 0

Answer:

Statement B is true

Step-by-step explanation:

This is because 10% of $540 is $54 (540÷0.1=54 with 0.1 being the multiplier of 10%).

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Solve: − &lt;− + 7( − 2) <br> (show your work)
Rashid [163]

Answer:

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3 0
2 years ago
What is the slope of the graph shown below?
Alecsey [184]

The slope is 4/3x.

Since the y-intercept is (0,-3), you go up and see that the next point is (1,1).

8 0
3 years ago
sally is on a scavenger hunt. a clue tells her to walk 100 steps due south from the starting point and then walk west when she g
Sophie [7]

Answer:

She should take 112 steps west  

Step-by-step explanation:

* Lets explain the relation between the four directions

- North and South on the same line by in opposite directions

- East and West on the same line by in opposite directions

- East and West are perpendicular to the North and South

* Now lets study the situation i the problem

- Sally 100 steps due to South from the starting point

- Then she walk West when she gets the next clue

- The distance between her starting point and ending point is 150 steps

∵ The South is perpendicular to the West

- Lets consider her trip is a right angle triangle ABC, where AB

 her steps South and BC her steps West and AC the distance

 between her starting point and ending point

∵ AB = 100

∵ AC = 150

∵ m∠B = 90°

- By using Pythagoras theorem

∵ BC = √(AC² - AB²)

∴ BC = √(150² - 100²) = 50√5 = 111.8 steps

* She should take 112 steps west  

8 0
3 years ago
Find the solution of the given initial value problem. ty' + 6y = t2 − t + 1, y(1) = 1 6 , t &gt; 0
gtnhenbr [62]

Answer:

Step-by-step explanation:

Given is a differential equation as

ty' + 6y = t^2 - t + 1, y(1) = 1 6 , t > 0

Divide this by t to get in linear form

y'+6y/t = t-1+1/t

This is of the form

y' +p(t) y = Q(t)

where p(t) = 1/te^(\int 1/tdt) = t

So solution would be

yt = \int t^2-t+1 dt\\= t^3/3-t^2/2+t+C

siubstitute y(1) = 16

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4 0
3 years ago
Find the equation of the plane z = mx + ny + b which contains the points (0,0,6), (1,0,-3) and (0,2,5).
leonid [27]
The three points give you three equations, which you can solve by your favorite method.
.. 0m +0n +b = 6
.. 1m +0n +b = -3
.. 0m +2n +b = 5

(m, n, b) = (-9, -1/2, 6)
so the equation of the plane can be written as
.. z = -9x -1/2y +6

_____
In standard form, this would be
.. 18x +y +2z = 12

8 0
3 years ago
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