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zhenek [66]
4 years ago
5

Your utility expense grew from $233 to $267. In the same period, your staffing expense grew from $1,266 to $1,411. Which expense

had the higher percentage growth rate?
a) Utilities
b) Staffing
c) Growth rate was the same
d) Can't tell from the data
Mathematics
1 answer:
jeyben [28]4 years ago
8 0

Increase in utilities = 267 - 233 = 34

For $233, increase = $34

For $100, increase = \frac{34}{233} (100)

= 14.59%

Increase in staffing expense = 1411 - 1266 = 145

For $1266, increase = $145

For $100, increase = \frac{145}{1266} (100)

=11.45%

Hence, utilities had the higher percentage growth rate.

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Pls help
KATRIN_1 [288]

Answer:

169.04 in² (nearest hundredth)

Step-by-step explanation:

Surface area of a cone = \pir² + \pirl

(where r = radius of the base and l = slant height)

Given slant height l = 10 and surface area = 188.5

Surface area  = \pir² + \pirl

188.5 = \pir² + 10\pir

\pir² + 10\pir - 188.5 = 0

r = \frac{-10\pi +\sqrt{(10\pi )^2-(4\times\pi \times-188.5)} }{2\pi } = 4.219621117...

Volume of a cone = (1/3)\pir²h

(where r = radius of the base and h = height)

We need to find an expression for h in terms of l using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height

r² + h² = l²

h² = l² - r²

h = √(l² - r²)

Therefore, substituting found expression for h:

volume of a cone = (1/3)\pir²√(l² - r²)

Given slant height l = 10 and r = 4.219621117...

volume = 169.0431969... = 169.04 in² (nearest hundredth)

5 0
3 years ago
Read 2 more answers
What is 20% of 95? (show all work)
elena-s [515]
<span>we know that if 95 is out of 100%, we can write it down as 95 = 100%. w</span><span>e also know that x is 20% of the output value, so we can write it down as x = 20%. </span>
now we have the equations:
95=100%
x=20%
next we will put the equations together
95/x = 100%/20%
95/x=100/20
<span>(95/x)*x=(100/20)*x      
</span>we multiply both sides of the equation by x
<span>95=5*x      
</span>now we divide both sides of the equation by 5 to get x
<span>95/5=x </span>
<span>19=x </span>
x=19
we now know that <span>20% of 95 = 19
let me know if you have any other questions
:)</span>
6 0
3 years ago
Brianna planted daffodils and tulips in her garden she planted 4 daffodils for every 3 tulips if Brianna planted 28 flowers in a
Jobisdone [24]
12 tulips
16 daffodils
7 0
3 years ago
Read 2 more answers
How many solutions does the system have? 2x+3y=-6 3x-4y=-12. A) exactly one solution b) no solution c) infinity many solutions
katovenus [111]

Answer:

a.

Step-by-step explanation:

by elimanation,cimparison or substitution you wull get the value of x=-60/17 and y=6/17

8 0
3 years ago
Solve The Equation 15 = 9 - 3a
MAVERICK [17]
2=A hope this helps
5 0
3 years ago
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