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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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Juliette [100K]

If i understood the question right, you're trying to find the value when h = -2. If that's true so here is how it's done:

4(3h + 7)\\4(3(-2) + 7)\\4(-6+7)\\4(1)\\=4

3 0
3 years ago
Expand the following:<br> a) x(x + 2)<br> b) x(2x - 5)<br> c) 2x(3x + 4)<br> d) 6x(x - 2)
TEA [102]

Answer:

<h2>a. \:  {x}^{2}  + 2</h2>

<h2> </h2><h2>b. \: 2 {x}^{2}  - 5x</h2><h2> </h2><h2>c. \: 6 {x}^{2}  + 8x</h2><h3> </h3><h3>d. \: 6 {x}^{2}  - 12x</h3>

solution,

a. \: x(x + 2) \\  \:  \:  = x \times x + 2 \times x \\  \:  \:  =  {x}^{2}  + 2x

b . \: x(2x - 5) \\  \:  = x \times 2x - x \times 5 \\  \:  \:  = 2 {x}^{2}  - 5x

c. \: 2x(3x + 4) \\  \:  = 2x \times 3x + 2x \times 4 \\  \:  \:  = 6 {x}^{2}  + 8x

d. \: 6x(x - 2) \\  \:  \:  = 6x \times x  - 6x \times 2 \\  \:  \:  = 6 {x}^{2}  - 12x

<h2> </h2><h2 />

Hope this helps...

Good luck on your assignment..

4 0
3 years ago
HELP ME IM STUCK ANSWER IT QUICK
fiasKO [112]

Answer:

red = 28 apples

green = 13 apples

equations:

r + g = 41

r = g + 15

Step-by-step explanation:

r = number of red

g = number of green

r = g + 15 (the number of red apples is 15 more than the number of green apples)

r + g = 41

Substitute the firs equation into the second and solve for a numerical value of g

(g + 15) + g = 41

2g + 15 = 41

2g = 26

g = 13

Now solve for a numerical value of r

r = g + 15

r = 13 + 15

r = 28

checking the math:

r + g = 41

28 + 13 = 41

Please lmk if you have any questions.

6 0
2 years ago
Howdoyouwrite<br> 17<br> 25<br> asapercentage?
scoundrel [369]
68% you have to divide 17 by 25 and then move the decimal
4 0
3 years ago
Read 2 more answers
What are the possible numbers of positive, negative, and complex zeros of f(x) = 3x4 − 5x3 − x2 − 8x + 4?
Scorpion4ik [409]

Answer:

Two positive zeros, no negative zeros, two complex roots.

Step-by-step explanation:

The given function is f(x)=3x^4-5x^3-x^2-8x+4

According to the fundamental theorem of algebra, the function will have 4 roots.

The graph of the function intersects the positive axis at two points.

Hence the function has two positive zeros and no negative zeros.

The two remaining roots are imaginary. The function has two complex zeros.

See graph in attachment

3 0
3 years ago
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