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pantera1 [17]
3 years ago
7

Myles had 185 songs in his music library. He then purchased an additional 30 songs. To the nearest percent, what was the percent

increase in the number of songs in Myles’s music library?
Mathematics
2 answers:
Firdavs [7]3 years ago
5 0
Hey!

Myles had 185 songs. He purchased 30 extra songs.

30 ÷ 185 = 0.162 = 16.2%

Answer ⇒ 16.2%

Hope this helps! :)
nydimaria [60]3 years ago
3 0

Answer:

16.21 %

Step-by-step explanation:

Given : Myles had 185 songs in his music library.

           He then purchased an additional 30 songs

To Find: To the nearest percent, what was the percent increase in the number of songs in Myles’s music library?

Solution:

So, Increased percentage = \frac{\text{Increase in number}}{\text{total number of songs}} \times 100

Increased percentage = \frac{30}{185} \times 100

                                     = 16.21

Hence the percent increase in the number of songs in Myles’s music library is 16.21 %

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8x-16=8x+k

If you want infinitely many solutions the equations on both sides of the equal sign need to be the same. So, k would need to be -16.
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Naily [24]

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Option D. G(x)=x^{3}-1

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so

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Applying the rule of the translation to F(x)

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3 years ago
What is 160% of 5 rounded to the nearest hundredth
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3 years ago
1. Make sure your answers and work is SHOWN please and steps are in order.
JulijaS [17]

Been a while since I've done synthetic division.

1a. Let's assume that's supposed to be an equals sign

p(x) = 2x⁴ - 3x³ - 6x² + 5x + 6

possible rational roots have factors of 6 in the numerator and of 2 in the denominator.  We'll only worry about negative numerators.

Factors of six: 1,2,3,6, and we don't forget -1,-2,-3,-6

Factors of 2: 1,2

Possible rational roots:

(dividing by 1:) 1,-1,2,-2,3,-3,6,-6

(dividing by 2:) 1/2, -1/2  (2/2=1 is a duplicate, don't have to repeat it), 3/2, -3/2

Possible rational roots: 1,-1,2,-2,3,-3,6,-6, 1/2, -1/2, 3/2, -3/2

Synthetic division, trying x=1,

   1 | 2  -3  -6  5  6

             2  -1  -7  -2

       2    -1  -7  -2  4

Got a remainder of 4, so 1 isn't a root;

Trying x=-1  

-1 | 2  -3  -6  5  6

         -2   5  1  -6

     2  -5  -1  6  0

Zero remainder, found a root, x=-1.  This division says

(2x⁴ - 3x³ - 6x² + 5x + 6) / (x + 1) = 2x³ - 5x² - x + 6

Same set of rational roots on the cubic, we continue with x=2

2 | 2 -5 -1 6

         4 -2 -6

    2  -1 -3 0

Another zero remainder, x=2 is a root.  We're left with 2x² - x - 3 = 0, which factors as

(2x - 3)(x + 1) = 0

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2x⁴ - 3x³ - 6x² + 5x + 6 = (x + 1)²(x-2)(2x - 3)

Fourth degree with a positive leading coefficient so goes to +infinity at both ends.  Double zero at x=-1, so it's tangent there, just touching the x axis, then down through x=3/2 and up through x=2.  

I'll leave the actually sketching and the other two polynomials to you -- that took some time.

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What will be the firm's quick ratio after Nelson has raised the maximum amount of short-term funds? Do not round intermediate ca
Marysya12 [62]

Based on the short-term debt that Nelson raises, the firm's quick ratio will be 1.204.

<h3>What is the firm's quick ratio?</h3><h3 />

First, find the maximum amount of short-term funds that Nelson can raise?

Assuming this amount is x, we can find it with the current ratio formula:

Current ratio = Current assets / Current liabilities

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The quick ratio would therefore be:

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= 1.204

Find out more on quick ratio at brainly.com/question/13917900.

#SPJ1

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