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Mandarinka [93]
3 years ago
15

In a recent year a baseball team paid six times as much to their ace pitcher as they paid to their shortstop. If they paid $56 m

illion for the two salaries, what did they pay each player
What was the pitcher's salary? S
(millions of dollars)
What was the shortstop's salary?
(millions of dollars)
​
Mathematics
1 answer:
Kobotan [32]3 years ago
7 0

Answer:

  • pitcher: $48 million
  • shortstop: $8 million

Step-by-step explanation:

The ratio of salaries can be written as ...

   short : pitcher = 1 : 6

Then the fraction of the total that the shortstop received is ...

  short : total = 1 : (1+6) = 1 : 7

The shortstop's salary was (1/7)×($56 million) = $8 million.

The pitcher's salary was 6 times that, so 6×($8 million) = $48 million.

The pitcher's salary was $48 million; the shortstop's, $8 million.

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You have to multiply and divide the 20% time the 30
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consider the function and then use calculus to answer the questions that follow 1 1/x 5/x^2 1/x^3 (a) Find the interval(s) where
boyakko [2]

Answer:

a)X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)

b)Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0  )

Step-by-step explanation:

From the question we are told that

The Function

f(x)=1+\frac{1}{x}  +\frac{5}{x^2} +\frac{1}{x^3}

Generally the differentiation of function f(x) is mathematically solved as

f(x)=1+\frac{1}{x}  +\frac{5}{x^2} +\frac{1}{x^3}

f(x)=\frac{x^3+x^2+5x+1}{x^2}

Therefore

f'(x)=\frac{x^2+10x+3}{x^4}

Generally critical point is given as

f'(x)=0

\frac{x^2+10x+3}{x^4}=0

x=-5 \pm\sqrt{22}

Generally the maximum and minimum x value for critical point is mathematically solved as

f'(-5 \pm\sqrt{22})

Where

Maximum value of x

f'(-5 +\sqrt{22})

Minimum value of x

f'(-5 +\sqrt{22})

Therefore interval of increase is mathematically given by

f'(-5 -\sqrt{22}),f'(-5 +\sqrt{22})

f(x)

Therefore interval of decrease is mathematically given by

(-\infty,-5 -\sqrt{22}),f'(-5 +\sqrt{22},0),(0,\infty)

Generally the second differentiation of function f(x) is mathematically solved as

f''(x)=\frac{2(x^2+15x+6)}{x^5}

Generally the point of inflection is mathematically solved as

f''(x)=0

x^2+15x+6=0

Therefore inflection points is given as

x=\frac{1}{2} (-15 \pm \sqrt{201}

f''(x)>0,\frac{1}{2}(-15-\sqrt{201})

a)Generally the concave upward interval X is mathematically given as

X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)

f''(x)

b)Generally the concave downward interval Y is mathematically given as

Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0  )

5 0
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Taya2010 [7]

Answer:

30.6 cm²

Step-by-step explanation:

The area of the parallelogram is simply the sum of the areas of the component three shapes - the square and the two triangles.

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Area of two triangles = 2 ×(1/2) × 2.3 cm × 4.5 cm = 10.35 cm²

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KatRina [158]
X - tens digit
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x=2y\\
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3y=12\\
y=4\\\\
x=2\cdot4\\
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10\cdot8+4=\boxed{84}

4 0
4 years ago
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