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noname [10]
3 years ago
5

If a woman making $31,000 a year receives a cost-of-living increase of 2.4%, what will her new salary be?

Mathematics
1 answer:
kompoz [17]3 years ago
8 0
Her new salary would be $31,744.
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1. sin(x+20) = cos(2x+10)<br> 2. sin (2x+14) = cos(x-5)
lakkis [162]

Answer:

x=20°

2.

x=27°

Step-by-step explanation:

sin(x+20)=cos (2x+10)

=sin (90-(2x+10))

so x+20=90-(2x+10)

x+20+2x+10=90

3x=90-30

3x=60

x=60/3=20

2.

2x+14+x-5=90

3x+9=90

3x=90-9=81

x=81/3=27

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3 years ago
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Which number line can be used to find the distance between (-1, 2) and (-5, 2)
wariber [46]

Answer:

y = 2; distance is 4 units

Step-by-step explanation:

Line y = 2

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Which is 4 units

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3 years ago
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For the sequence below, explain the pattern in words.<br> 14. 11. 8. 5....
AVprozaik [17]

Answer:

you subtract the number by 3

Step-by-step explanation:

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6 0
2 years ago
7- a. What is the radius of the circle with center (3,10) that passes through (12,12)?
loris [4]

Answer: a. Radius of circle = \sqrt{85}

b. The equation of this circle : (x-3)^2+(y-10)^2=85

Step-by-step explanation:

Given : Center of the circle = (3,10)

Circle is passing through (12,12).

a. To find the radius we apply distance formula (∵ Radius is the distance from center to any point ion the circle.)

Radius of circle = \sqrt{(12-3)^2+(12-10)^2}

Radius of circle = \sqrt{(9)^2+(2)^2}=\sqrt{81+4}=\sqrt{85}

i.e. Radius of circle = \sqrt{85}

b. Equation of a circle = (x-h)^2+(y-k)^2=r^2 , where (h,k)=Center and r=radius of the circle.

Put the values of (h,k)= (3,10) and r= \sqrt{85} , we get

(x-3)^2+(y-10)^2=(\sqrt{85})^2

(x-3)^2+(y-10)^2=85

∴  The equation of this circle :(x-3)^2+(y-10)^2=85

6 0
3 years ago
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