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siniylev [52]
2 years ago
12

What is the solution to |x – 5| + 2 < 20?

Mathematics
1 answer:
stepladder [879]2 years ago
3 0

Answer:

Step-by-step explanation:

hello :

|x – 5| + 2 < 20  means :  |x – 5| + 2-2 < 20-2

|x – 5|  < 18

-18< x - 5 < 18

-18+5< x - 5+5 < 18+5

-13< x< 23   ( solutions)

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Mark has $100,000 to invest. His financial consultant advises him to diversify his investment in three types of bonds: short-ter
galina1969 [7]

Answer:

Short-Term investment: 5000$

Intermediate-Term investment: 65000$

Long-Term investment: 30000$

Step-by-step explanation:

To construct our first equation lets define sort-term bond investment as x, long-term investment as y.

So the equation is:

x*0,04+(100000-x-y)*0,05+y*0,06=5250

From the equation it is found that:

y=25000+x

Instead of y, if we put 25000+x the equation will be as following:

x*0,04+75000*0,05+(25000+x)*0,06=5250

From the equation it is found that:

x=5000

Short-Term investment is 5000$

x+25000=y

Long-Term investment is 30000$

Rest of the money is Intermediate-Term investment 65000$

5 0
3 years ago
You lean a 30 foot ladder against your house and it reaches exactly to the top. The ladder makes a 24 degree angle with the grou
Furkat [3]
Sin 24 = h/30 

<span>h = 30 sin 24 = 12.2 ft </span>
5 0
3 years ago
3144 divided by 9 and how you got it :) for brainliest
asambeis [7]
3144/9= 349.33

I used a calculator, but you can also solve this by long division (if a calculator isn’t available)

hope this helps!! :)
3 0
3 years ago
Read 2 more answers
Describe the general properties of rotations. Include a discussion of the properties of rigid transformations ,and line segments
OverLord2011 [107]

Answer:

A rotation is a rigid transformation, sometimes called an isometric transformation, that moves every point of the pre-image through an angle of rotation about the center of rotation to create an image. Rotations preserve size, rotations of 360 map a figure to itself, and lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal length.

Step-by-step explanation:

Here man this is right

3 0
3 years ago
Read 2 more answers
the sum of two numbers is 70. the larger number is five less than twice the smaller number . what are the two numbers
earnstyle [38]
X+y=70
x=2y-5
x=larger number
y=smaller number
now plug in the value of x to only have one variable in the equation...
Way to solve for y:
(2y-5)+y=70
3y-5=70
add 5 on both sides...
3y=75
divide by 3 on both sides
y=25
1st way to solve for x:
now plug in y in the original equation...
x+25=70
subtract 25 on both sides...
x=45
2nd way to solve for x:
plug in y for the second equation...
x=25(2)-5
x=50-5
x=45
answer: the two numbers are 45 and 25.

3 0
3 years ago
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