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polet [3.4K]
3 years ago
15

Money Flow An investment scheme is expected to produce a continuous flow of money, starting at $1000 and increasing exponentiall

y at 5% a year for 7 years. Find the present value at an interest rate of 11% compounded continuously.
Mathematics
1 answer:
kvasek [131]3 years ago
3 0

Answer:

7.14

Step-by-step explanation:

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Show all work to identify the asymptotes and state the end behavior of the function f(x)=3x/x-9
lorasvet [3.4K]

Using the asymptote concept, we have that:

  • The vertical asymptote is x = 9.
  • The horizontal asymptote is y = 3.
  • The end behavior is that as x \rightarrow \infty, y \rightarrow 3.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

f(x) = \frac{3x}{x - 9}

For the vertical asymptote, we have that:

x - 9 = 0 -> x = 9.

For the horizontal asymptote:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{3x}{x - 9} = \lim_{x \rightarrow \infty} \frac{3x}{x} = \lim_{x \rightarrow \infty} 3 = 3

Hence, the end behavior is that as x \rightarrow \infty, y \rightarrow 3.

More can be learned about asymptotes at brainly.com/question/16948935

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8 0
2 years ago
Pless help I want to hang my self
Strike441 [17]
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3 years ago
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8? Quadratic formula: x
Lynna [10]

ANSWER

1.39

EXPLANATION

The given quadratic equation is

0 = 2 {x}^{2}  + 3x - 8

This is the same as,

2 {x}^{2}  + 3x - 8 = 0

Comparing to

a {x}^{2}  + bx  + c = 0

We have

a=2, b=3,c=-8

Using the quadratic formula, the solution is given by:

x =  \frac{ - b \pm \:  \sqrt{ {b}^{2}  - 4ac} }{2a}

We substitute the values to get,

x =  \frac{ - 3\pm \:  \sqrt{ {3}^{2}  - 4(2)( - 8)} }{2(2)}

x =  \frac{ - 3\pm \:  \sqrt{ 73} }{4}

The positive root is

x =  \frac{ - 3 + \:  \sqrt{ 73} }{4} = 1.39

to the nearest hundredth.

4 0
3 years ago
Read 2 more answers
C(x) = mx + 500
grin007 [14]

Total cost as the function of shirts is :

C(x) = mx + 500 .

It is given that , The total cost to produce 100 shirts is $800.

800 = 100m + 500

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So , cost is given by :

C(x) = 3x + 500 .

Now , putting x = 1000 .

We get :

C(x) = 3x + 500

C(x) = 3(1000) + 500

C(x) = $3500

Therefore , cost of producing 1000 shirts is $3500 .

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3 years ago
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