1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lesya692 [45]
2 years ago
12

The Investment Research Institute reported in its Mutual Fund Fact Book that the number of mutual funds increased from 5,700 in

1999 to 8,064 in 2009. What is the geometric mean annual percent increase in the number of funds
Mathematics
1 answer:
anyanavicka [17]2 years ago
6 0

The geometric mean is 6833.049

The value of fund in 1999 is 5,700

value of fund in 2009 is 8,064

We need to find the geometric mean annual percent increase in the number of funds.

The geometric mean is the average of a set of products,  it is defined as the compounding effect of the numbers in the series in which the numbers are multiplied by taking nth root of the multiplication.

The calculation of which is commonly used to determine the performance results of an investment or portfolio.

We know, The Geometric mean is = \sqrt[n]{x_1*x_2*...*x_n}

substituting values:

\\ GM = (5790*8064)^{0.5} = 6833.049

<h3>Formula used:</h3>

Geometric mean is = \sqrt[n]{x_1*x_2*...*x_n}

To know more about Geometric mean visit:

brainly.com/question/47038

#SPJ4

You might be interested in
Can help me find area and perimeter step by step
Vera_Pavlovna [14]

Answer:

  • area: 16.28 ft²
  • perimeter: 17.05 ft

Step-by-step explanation:

The figure is shown as being composed of a semicircle and a triangle. You know the formula for the area of a circle is ...

  A = πr²

The radius of the semicircle is half its diameter, so is (4 ft)/2 = 2 ft. Then the area of a circle with radius 2 feet is ...

  A = π(2 ft)² = 4π ft²

Our semicircle has half that area, so ...

  area of semicircle = (4π ft²)/2 = 2π ft² ≈ 6.283 ft²

__

The area of the triangle is given by the formula ...

  A = (1/2)bh

Here, the base is shown as 4 ft, and the height is shown as 5 ft. Then the triangle area is ...

  triangle area = (1/2)(4 ft)(5 ft) = 10 ft²

So, the total area of the composite figure is ...

  figure area = area of semicircle + triangle area

  = 6.283 ft² + 10 ft² ≈ 16.283 ft² . . . . area of the figure

__

The perimeter of the curved portion of the semicircle is half the circumference of a circle of radius 2 ft. It will be ...

  curved perimeter = (1/2)(2πr) = πr = π(2 ft) = 2π ft ≈ 6.283 ft

The length of each side of the triangle can be found from the Pythagorean theorem. Each side of the triangle is the hypotenuse of a right triangle with legs 2 ft and 5 ft. Then it will be ...

   triangle side length = √(2² +5²) ft = √29 ft ≈ 5.385 ft

The total perimeter is ...

   perimeter = 2 × triangle side length + semicircle length

  = 2×(5.385 ft) + 6.283 ft = 17.054 ft

The perimeter of the figure is about 17.05 feet.

4 0
3 years ago
What is the justification for each step in solving the inequality?
Nuetrik [128]

75x+35≥7(11x+9)+4     Given

75x+35≥77x+63+4      Distributive Property

75x+35≥77x+67         Combine like terms

−2x+35≥67                 Subtraction Property of Order

−2x≥32                       Subtraction Property of Order

x≤−16                          Division Property of Order

Please give brainliest!

4 0
3 years ago
Read 2 more answers
The slope of a line is 0 and it contains the point (3,1)
Sedaia [141]

Answer:

<h2>y = 1</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

<em>m</em><em> - slope</em>

<em>(x₁, y₁)</em><em> - point on a line</em>

We have <em>m = 0, (3, 1) → x₁ = 3, y₁ = 1</em>.

Substitute:

y-1=0(x-3)

y-1=0      <em>add 1 to both sides</em>

y=1

Other method.

If the slope is equal 0, then it's a horizontal line.

The equation of a horizontal line: <em>y = a</em>.

We have the point on a line (3, 1) → x = 3, y = 1.

Therefore the equation is <em>y = 1</em>.

3 0
3 years ago
Use the Distributive Property to simplify the following expression <br> -2 (x + 3)
Dmitry_Shevchenko [17]

Answer:

-2x-6

Step-by-step explanation:

-2(×+3)

-2x-2.3

-2x-6

4 0
3 years ago
Write the equation of the line that passes through the given points.<br> (-1,5.5) and (0, - 4.5)
AfilCa [17]
The equation is Y= -10x - 4.5
4 0
3 years ago
Other questions:
  • It's a math problem subtracting unlikely fractions 14 / 2 - 9 / 8
    15·2 answers
  • Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?
    5·2 answers
  • Proof. Give: &lt;1 and &lt;2 are complementary, angle 1 is congruent to angle 3 and angle 2 is congruent to angle 4. Prove: angl
    6·1 answer
  • Cameron rent is 2,308 per month and wants to pay rent in $100 dollar bills and $1 dollar bills. How many $100 dollar bills will
    15·2 answers
  • ponca city reports a temperature of 3° below zero marshall city reports a temperature of 5° below zero which city has the lower
    8·1 answer
  • 2x + 11 + 6x<br> Combing like terms
    14·2 answers
  • Crew b earns $315 after 3 hours, $525 after 5 hours, and $735 after 7 hours of work. Explain whether or not Crew b's data show a
    12·2 answers
  • What is the probability of getting 3 queens in a 5-card hand using a standard deck of cards?
    12·1 answer
  • Please help with math
    6·1 answer
  • 2.3.PS-17
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!