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Anestetic [448]
1 year ago
10

Christina will be retiring next month from her job after 35 years as a school bus driver. Over the last 35 years, Christina’s an

nual salary averaged $22,040. She expects to receive some money each month from Social Security and plans to take the rest of the money she needs to pay the monthly bills from savings. Each month her bills total to about $1,375. Assuming her annual Social Security benefit will be 42% of her salary average, how much will she need to take from savings each month to help pay the bills?
Mathematics
2 answers:
HACTEHA [7]1 year ago
8 0
Given: Annual salary average: $22,040 Annual Social security benefit: 42% of salary average Monthly bill: $1,375 $22,040 x 42% = $9,256.80 per annum $9,256.80 / 12 mos = $771.40 per month $1,375 – 771.40 = $603.60 Since, Christina only receives $771.40 per month from her Social Security benefit, she has to take $603.60 from her savings each month to help pay her monthly bill of $1,375. <span>
</span>
Maurinko [17]1 year ago
3 0

Answer:

At least $603.60

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−7x−50≤−1 AND−6x+70&gt;−2
fgiga [73]

Answer:

-7\geq x and [-7,12) in interval notation.

Step-by-step explanation:

We have been given a compound inequality -7x-50\leq -1\text{ and }-6x+70>-2. We are supposed to find the solution of our given inequality.

First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.

-7x-50\leq -1

-7x-50+50\leq -1+50

-7x\leq 49

Dividing by negative number, flip the inequality sign:

\frac{-7x}{-7}\geq \frac{49}{-7}

x\geq -7

-6x+70>-2

-6x+70-70>-2-70

-6x>-72

Dividing by negative number, flip the inequality sign:

\frac{-6x}{-6}

x

Upon merging both intervals, we will get:

-7\geq x

Therefore, the solution for our given inequality would be -7\geq x and [-7,12) in interval notation.

7 0
2 years ago
What is the solution to this eqution? 3x +17 + 5x = 7x +10
ddd [48]

Answer:

-7

Step-by-step explanation:

3x +17 + 5x = 7x +10

3x +17 + 5x - 7x = +10-17

x=-7

4 0
1 year ago
What is the angle θ that the field e⃗ makes with the surface of the slab, which is perpendicular to the x direction? express you
Virty [35]
The angle θ that the field e⃗ makes with the surface of the slab, which is perpendicular to the x direction is <span>θ = -1.57 <span>rad


Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
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6 0
1 year ago
Read 2 more answers
Which is greater 3.6 m or 36 cm?
WARRIOR [948]

Answer:

36

Step-by-step explanation:

36 is greater than 3.6

7 0
2 years ago
Read 2 more answers
Benito and Tyler are painting opposite sides of the same fence. Tyler has already painted 19 ½ feet of his side of the fence whe
rewona [7]

Answer:

Part A: The time it will take for both of them to painted equal number of feet is 4.875 minutes

The number of feet Benito will have painted when the two sides have equal length is 73.125 feet

Part B: It is not true that Tyler will finish painting his side of the fence before Benito finishes painting his

Part C: Time to rest is 1.864 minutes

Step-by-step explanation:

The given information are;

The length of fence Tyler already painted when Benito started = 19 ¹/₂ feet

Benito paints 15 feet/minute

Tyler paints 11 feet/minute

Length of fence = 150 feet

Part A:

The time it will take for both of them to painted equal number of feet is given as follows;

11×t + 19.5 = 15×t

4×t = 19.5

t = 19.5/4= 4.875 minutes

The time it will take for both of them to painted equal number of feet = 4.875 minutes

The length Benito will have painted when the two sides have equal length = 15 × 4.875 = 73.125 feet

Part B: The time it will take Tyler to finish painting his side of the fence is given as follows;

11 × t + 19.5 = 150

t = (150 - 19.5)/11 ≈ 11.864 minutes

While the time it will take Benito to finish painting his side of the fence is given as follows;

15 × t  = 150

t = 150/15 ≈ 10 minutes

Therefore it is not true that Tyler will finish painting his side of the fence before Benito finishes painting his

Part C: Given that Benito finishes before Tyler, the length of time Benito gets to rest is given as follows;

Time to rest = Time Tyler takes to finish - Time Benito takes to finish

Time to rest = 11.864 - 10 = 1.864 minutes.

5 0
2 years ago
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