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makkiz [27]
3 years ago
11

Solve the following inequality algebraically. ∣x−5∣≤11

Mathematics
1 answer:
Serga [27]3 years ago
7 0

Answer:

-6 ≤ x ≤ 16

Step-by-step explanation:

First, apply absolute value rule:

x - 5 ≤ 11 and x - 5 ≥ -11

Then, we add 5 on both sides with both inequalities:

x ≤ 16 and x ≥ -6

Finally, combine the inequalities:

-6 ≤ x ≤ 16

And we're done ^^

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Laura and Martin obtain a 30-year, $180,000 conventional mortgage at 10.0% on a house selling for $210,000. Their monthly mortga
Westkost [7]

Answer:

total payment = $563,760

Interest = $383,760

Principal part = $66

Step-by-step explanation:

(a) total payment:

n = 30 years = 360 months

monthly payment = $1,566

Total payment = $1,566 * 360 months = $563,760

(b) interest:

Total payment = $563,760

Principal = $180,000

Total payment = Principal + Interest

Interest = Total payment - Principal

Interest = $563,760 - $180,000 = $383,760

(c) part of first payment applied to the principal:

First payment = $1,566

Principal = $180,000

Interest rate = 10% yearly = 10% / 12 = 0.8333% = 0.008333 monthly

Monthly interest = Principal * Interest rate = $180,000 * 0.008333 = $1,500

Principal part = $1,566 - $1,500 = $66

Hope this helps!

4 0
3 years ago
Bryant collects a set of 20 data representing the lengths of worms he found in the garden. The variance of the set of measuremen
Varvara68 [4.7K]

Answer:

6 millimeters

Explanation:

The standard deviation is the square root of the variance.

Since the variance is 36, the standard deviation would be

√36 = 6

4 0
3 years ago
Read 2 more answers
How to solve the function 4y+x=12
Sidana [21]
First you rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

Second you solve it by using the formula of a straight line drawn on Cartesian coordinate system in which “y” is the vet risk axis and “x” the horizontal axis.
7 0
3 years ago
I have way more questions than this answer them if you want pleaseee!!
aliina [53]

The right answer is Option C.

Step-by-step explanation:

Given inequality is

6(2x-1)  > 24

Solving the inequality

6*2x-1*6>24\\12x-6>24

Adding 6 on both sides

12x-6+6>24+6\\12x>30

Dividing both sides by 12

\frac{12x}{12}>\frac{30}{12}\\x>\frac{5}{2}

Therefore,

x>\frac{5}{2}

The right answer is Option C.

Keywords: inequality, division

Learn more about division at:

  • brainly.com/question/106975
  • brainly.com/question/107042

#LearnwithBrainly

5 0
3 years ago
Please help!!! Will give brainliest!!!<br><br> What is 50x+2000y=3?<br> solve for x.
san4es73 [151]

Answer:

x=350−40y

Explanation:

-----

5 0
3 years ago
Read 2 more answers
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