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ValentinkaMS [17]
2 years ago
7

HELP ME IM SO CONFUSED

Mathematics
2 answers:
givi [52]2 years ago
6 0

Answer:

  • 1) 4812 students
  • 2) 763 pounds
  • 3) $30906.76

Step-by-step explanation:

1)

  • Initial number = 2988
  • Rate of increase = 10%

<u>Number of students after 6 years:</u>

  • a_6 = 2988(1+0.1)^{6-1} = 4812

2)

  • Initial number = 1200
  • Rate of decrease = 14%

<u>Amount of gold after 4 years:</u>

  • a_4=1200(1-0.14)^3 = 763

3)

  • Initial number = 28000
  • Rate of increase = 2.5%

a)

<u>Salary after n years:</u>

  • a_n=28000(1+0.025)^{n-1} = 28000*1.025^{n-1}

b)

<u>Salary in the 5th year:</u>

  • a_5=28000*1.025^4 = 30906.76
Paha777 [63]2 years ago
3 0

Refer to the attachment

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Using the given information, give the vertex form equation of each parabola.
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Answer:

The equation of parabola is given by : (x-4) = \frac{-1}{3}(y+3)^{2}

Step-by-step explanation:

Given that vertex and focus of parabola are

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Focus:(\frac{47}{12},-3)

The general equation of parabola is given by.

(x-h)^{2} = 4p(y-k), When x-componet of focus and Vertex is same  

(x-h) = 4p(y-k)^{2}, When y-componet of focus and Vertex is same

where Vertex: (h,k)

and p is distance between vertex and focus

The distance between two points is given by :

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p=\sqrt{(4-\frac{47}{12})^{2}+((-3)-(-3))^{2}}

p=\sqrt{(\frac{1}{12})^{2}}

p=\frac{1}{12} and p=\frac{-1}{12}

Since, Focus is left side of the vertex,

p=\frac{-1}{12} is required value

Replacing value in general equation of parabola,

Vertex: (h,k)=(4,-3)

p=\frac{-1}{12}

(x-h) = 4p(y-k)^{2}

(x-4) = 4(\frac{-1}{12})(y+3)^{2}

(x-4) = \frac{-1}{3}(y+3)^{2}

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3 years ago
What is the volume of a figure that is 9 inches wide, 3 inches tall and 3 inches long?
motikmotik

Answer:

1/2

Step-by-step explanation:

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3 years ago
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Mandarinka [93]

Answer:

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Step-by-step explanation:

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