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JulijaS [17]
3 years ago
8

A sales representative from a local radio station is trying to convince the owner of a small fitness club to advertise on her st

ation. The representative says that if the owner begins advertising on the station today, the club's total number of members will grow exponentially each month. She uses the given expression to model the number of club members, in hundreds, after advertising for t months.
1.8(1.02)^12t

What does the value 1.8 represent?

A.
the monthly percent increase in the total number of members at the club
B.
the number of new members that join the club per month
C.
the initial number of club members, in hundreds
D.
the growth factor that reveals the rate at which the total number of members at the club increases
Mathematics
1 answer:
Otrada [13]3 years ago
8 0

Answer:

  C.  the initial number of club members, in hundreds

Step-by-step explanation:

The general form of such an expression is ...

  (initial value)×(growth factor per period)^(number of periods)

The use of 12 in the exponent suggests that the growth factor of 1.02 is an annual factor. If that is the case, for t months, the membership should be modeled as ...

  1.8(1.02^(t/12))

_____

As written, the expression is not an exponential expression. With appropriate parentheses, it might be a good model if t is the number of <em>years</em> (not <em>months</em>), and if the expected growth rate is 2% per month.

  1.8(1.02^(12t))

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B is correct answer
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Find two numbers whose sum is 64 and whose difference is 42
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These numbers are  "a"  and "b".  
Sum is 64,  so  a+b=64
Difference  is 42  so  a-b=42
So you've got:
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When a+b=64 and a=53  you've got:
53+b=64
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So these numbers is 53 and 11. 

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3 years ago
Explain or show how you could find 5÷13
OverLord2011 [107]

Answer:

bus stop division really hard to show on here.

13/5

13 does not go into 5 so put a decimal point after the 5

13/5.000 carry the 5 over to the zero

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3 years ago
Which is a solution for 4x+8 = 3x + 14?<br> O A. 2<br> OB.<br> c. 14/3<br> OD. 6<br> O E. 7
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Step-by-step explanation:

4 0
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Read 2 more answers
Plz help is the statements true or false
Masteriza [31]
<h3>Answers:</h3>
  • (a) True
  • (b) True
  • (c) False
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========================================================

Explanations:

------------------------------

Part (a)

Applying a rotation will not change the length of XY. This means segment X'Y is the same length as segment XY.

Put another way:  (distance from X to Y) = (distance from X' to Y)

So if we have Y as the center of the circle, and XY as the radius, then X and X' are both on the same circle.

------------------------------

Part (b)

As explained in part (a), the segments XY and X'Y are both radii of the same circle, so they are equal to one another.

------------------------------

Part (c)

Draw a right triangle with side lengths XY, X'Y and hypotenuse XX'

Note how a 45-45-90 triangle forms. We can use the pythagorean theorem to show that XX' is larger than XY. Therefore, XX' and XY aren't equal.

------------------------------

Part (d)

This angle forms because we rotated point X 90 degrees with the center point as Y. It might help to think of point Y at the origin. So that's why this statement is true.

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Part (e)

This is false because segment X'Y or YX' is a radius and not a diameter. We would need to multiply by 2 to get a diameter.

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