Answer:
Step-by-step explanation:
C. -11<x<-4
|-2x-15|<7 split into possible cases
- 2x - 15 < 7, - 2 x - 15 > 0
-(- 2x - 15 ) <7, -2x - 15 < 0 solve the inequalities
x>-11, x < -15/2
x< -4, x> -15/2 Find the intersections
[ -11, -15/2 ]
-15/2, -4] Find the union
[-11, -4 ] Simplify
-11<x<-4
950 * .05 = $47.5
550 * .04 = $22
$47.5 + $22 = $69.50 interest earned
answer: amount in 4% account = $550
First you have to make both fractions have the same denominator, so you can multiply each fraction by the others denominator.
5/8
To
(5*6)/(8*6)
And
1/6
To
(1*8)/(6*8)
Now it's 6 30/48 - 2 8/48
= 4 22/48
Now reduce to
= 4 11/24
So, 4 11/24 is the answer
Answer
Definition of right angles
For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.
