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lozanna [386]
3 years ago
5

A person plans to invest three times as much in an account at 3.1% interest as in an account at 13% annual interest. How much sh

ould the person invest in each account to earn $750 in one year
Mathematics
1 answer:
vlabodo [156]3 years ago
8 0
Is this even possible?
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The functions f(x) and g(x) are shown below:
Flura [38]

Answer:

(A) is your answer. The graph of g(x) will eventually exceed the graph of f(x)

Step-by-step explanation:

6 0
3 years ago
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The graph of the function f(x) = (x +2)(x + 6) is shown
dalvyx [7]

The true about the domain and the range of the function is:

The domain is all real numbers, and the range is all real  numbers

greater than or equal to -4 ⇒ 1st answer

Step-by-step explanation:

f(x) = (x + 2)(x + 6) is a quadratic function with 2 factors (x + 2) and (x + 6)

By multiplying its two factors we will find the form of the quadratic function

∵ (x)(x) = x²

∵ (x)(6) = 6x

∵ (2)(x) = 2x

∵ (2)(6) = 12

∴ f(x) = x² + 6x + 2x + 12

- By adding like terms

∴ f(x) = x² + 8x + 12

The quadratic function represented graphically by a parabola

Look to the attached figure

The x-coordinate of the vertex point of the parabola h = \frac{-b}{a}

where b is the coefficient of x and a is the coefficient of x²

∵ f(x) = x² + 8x + 12

∴ a = 1 and b = 8

∴ h = \frac{-8}{2*1}=-4

The y-coordinate of the vertex point is k = f(h)

∵ h = -4

∴ k = f(-4)

∴ k = (-4)² + 8(-4) = 12 = 16 - 32 + 12

∴ k = -4

∴ The vertex point of the parabola is (-4 , -4)

∵ The parabola is opened upward

∴ Its vertex is minimum point

∴ The minimum value of f(x) is y = -4

∵ The domain of the function is the values of x

∵ The range of the function is the values of y corresponding to the

   values of x

∵ x can be any real numbers

∴ x ∈ R, where R is the set of real numbers

∴ The domain of f(x) is all real numbers

∵ The minimum value of f(x) is y = -4

∴ y can be any real number greater than or equal to -4

∴ y ≥ -4

∴ The range is all real number greater than or equal to -4

The true about the domain and the range of the function is:

The domain is all real numbers, and the range is all real  numbers

greater than or equal to -4

Learn more:

You can learn more about quadratic function in brainly.com/question/1332667

#LearnwithBrainly

7 0
2 years ago
Write an equation for each sentence then solve. The sum of two consecutive even numbers is thirty-four. What are the numbers? I
taurus [48]
<h3 /><h3>▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3><h3>Required Solution :</h3>

Let the first even number be 'x' & the second even number be (x + 2)

<u>According to the Question</u>,

⇒x + (x + 2) = 34

⇒x + x + 2 = 34

⇒2x + 2 = 34

⇒2x = 34 - 2

⇒2x = 32

⇒x = 32/2

⇒x = 16

⇒First even number = x = 16

⇒Second even number = (x + 2) = 16 + 2 = 18

<u>∴</u><u> </u><u>The t</u><u>wo consecutive even n</u><u>u</u><u>m</u><u>b</u><u>e</u><u>r</u><u>s</u><u> are 16 & 18</u> ...!

<h3>Verefication : </h3>

As, In our Question it was given that "The sum of two consecutive even numbers is thirty-four". So, as we got our two consecutive even numbers as 16 & 18 ... By this, we can say that these both even numbers should be equals to 34, i.e., 16 + 18 = 34. Hence, The equation which we formed is correct ...!

<h3>▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3>
6 0
3 years ago
PLEASE HELPPPPP<br> M=2<br> N=16<br> P=1/3
andre [41]

Answer:

4

Step-by-step explanation:

Based on the information you have given me, p = 1/3.

All we need to do is substitute that value into the expression:

12p = 12(1/3) = 4

4 0
3 years ago
Read 2 more answers
How to find the volume of a triangle pyramid
steposvetlana [31]

Answer:

To find the volume of a triangle pyramid, you would use the formula  V = 1/3AH, where A = area of the triangle base, and H = height of the pyramid or the distance from the pyramid's base to the apex.

Hope this helps!!

8 0
3 years ago
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