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Andre45 [30]
3 years ago
10

Find last year’s salary if after. 2% pay rate, this year’s salary is $35,700

Mathematics
1 answer:
sasho [114]3 years ago
8 0
2% of 35700 = 714
So you take 35700 and subtract the raise, 714 which is 34986

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Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not draw
Aleonysh [2.5K]

Answer:

x=25

Step-by-step explanation:

we know that

In this problem

The value of x represent the radius of the circle

so

Applying the Pythagoras theorem in the right triangle of the figure, you can find the radius of the circle O

see the attached figure to better understand the problem

x^{2} =20^{2}+15^{2}

x^{2} =400+225

x^{2} =625

square root both sides

x=25

8 0
3 years ago
The volume of a cylinder is 4 pi x3 cubic units and its height is x units.
Rzqust [24]

Answer:

2x

Step-by-step explanation:

The volume of a cylinder, V is given by the formula,

V=\pi r^{2}h

Where, r is the radius and h is the height of the cylinder.

Here, V=4\pi x^{3}, h=x. Plug in these values and solve for radius, r.

This gives,

V=\pi r^{2}h\\4\pi x^{3}=\pi r^{2}x\\r^{2}=\frac{4\pi x^{3}}{\pi x}\\r^{2}=4x^{2}\\

Taking square root both sides, we get

\sqrt{r^{2}}=\sqrt{4x^{2}}\\r=2x

Therefore, the radius of the cylinder can be expressed as 2x.

6 0
3 years ago
Please help me round 34,699 to the nearest ten thousand
Serhud [2]
Okay so rounding to the ten thousand will mean you are looking at the 3 and looking behind it, the 4 is behind the 3 in 34,699 and 0-4 we round down so the nearest 10,000 is 30,000. ANSWER: 30,000
4 0
3 years ago
Consider the first four terms of an arithmetic sequence below.
VMariaS [17]
7, 13, 19 and 25 have a common difference:  6.  
6 added to 7 gives us 13; 6 added to 13 gives us 19, and so on.

Explicit formula:  a(n) = 7 + 6(n-1), where 7 is the first term and n is the counter (1, 2, 3, ...).

The first term is 7 (given).  This corresponds to n=1.

The second term is a(2) = 7 + 6(2-1), or 7 + 6, or 13.  This corresponds to n = 2.

and so on.


6 0
3 years ago
There is a clown's face on the top of a spinner. The tip of his hat rotates to (−2, 5) during one spin. What is the cosine value
uranmaximum [27]
Remark
The point value is (-2,5) So we know the two sides. We need the hypotenuse. We should notice that the x value is minus (-2) and value is y value is plus (5). That means we are in quad 2. Be careful how you read that. (-2,5) is a point. It is not a tangent.

Step One 
Find the hypotenuse.

a = - 2
b = 5
c =  ??

c^2 = a^2 + b^2
c^2 = (-2)^2 + 5^2
c^2 = 4 + 25
c^2 = 29               Take the square root of both sides.
sqrt(c^2) = sqrt(29)
c = sqrt(29)

Step Two
Find the Cosine of the angle.
Cosine(theta) = adjacent / hypotenuse
Cosine(theta) = -2 / sqrt(29)  <<<<<<< Answer

Again, watch out for what you are given.
6 0
3 years ago
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