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faust18 [17]
3 years ago
7

The revenue each season from tickets at the theme park is represented by t(c)=5x. The cost to pay the employees each season is r

epresented by r(x)=(1.5)^x. Examine the graph of the combined function for total profit and estimate the profit after four seasons

Mathematics
1 answer:
butalik [34]3 years ago
3 0

Answer:

The profit after 4 seasons is 14.938 units

Step-by-step explanation:

To quickly solve this problem, we can use a calculator or any graphing tool

to examine both graphs

Revenue

t(x)=5x

Cost

r(x)=(1.5)^x

Profit

P = Revenue - costs = t(x) -r(x)

P = 5x - (1.5)^x

The profit after 4 seasons is 14.938 units

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Evaluate fx, fy, fz at the given point a) f (x, y z) = x³yz² at the point (1, 2, 3) b) f (x, y, z) = x² - 2xy + 3yxz² at the poi
miss Akunina [59]

Answer:

  • a) (fx, fy, fz) = (54, 9, 12)
  • b) (fx, fy, fz) = (16, 30, 9)

Step-by-step explanation:

a) The partial derivatives of f(x, y, z) = x³yz² are ...

  • fx = 3x²yz²
  • fy = x³z²
  • fz = 2x³yz

At the given point, these are ...

  • fx(1, 2, 3) = 3(1²)(2)(3²) = 54
  • fy(1, 2, 3) = (1³)(3²) = 9
  • fz(1, 2, 3) = 2(1³)(2)(3) = 12

__

b) The partial derivatives of f(x, y, z) = x² -2xy +3xyz² are ...

  • fx = 2x -2y +3yz²
  • fy = -2x +3xz²
  • fz = 3xy

At the given point, these are ...

  • fx(3, 1, -2) = 2(3) -2(1) +3(1)(-2)² = 16
  • fy(3, 1, -2) = -2(3) +3(3)(-2)² = 30
  • fz(3, 1, -2) = 3(3)(1) = 9
8 0
3 years ago
A machine produces small cans that are used for baked beans. The probabil- ity that the can is in perfect shape is 0.9. The prob
Elis [28]

Answer:

0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Shipped for use

Event B: Perfect shape

Probability of being shipped for use:

Perfect shape(0.9 probability) or unnoticeable dent(0.02 probability). So

P(A) = 0.9 + 0.02 = 0.92

Being shipped for use and being in perfect shape.

0.9 probability, so P(A \cap B) = 0.9

What is the probability that a can that gets shipped for use will be of perfect shape?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.9}{0.92} = 0.9783

0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape

8 0
3 years ago
Simplify the expression so that they are no complex numbers in the denominator.
Evgesh-ka [11]
I believe that it would be 3. 14
— minus. —- i
41. 41

Simplified I think it would be -11/41 i
6 0
3 years ago
Convert 30 ft per s to mi per min.<br><br> 5280 ft = 1 mi<br><br> Round to nearest hundredth.
Natali5045456 [20]
Divide 30 ft by 5280 ft and you get 0.00568182 then round that number
7 0
3 years ago
.................................
enyata [817]

Answer:

0

Step-by-step explanation:

Given:

(-3, 2)

(4, 2)

Required:

Slope that passes through the two points given.

Solution:

Slope = \frac{y_2 - y_1}{x_2 - x_1}

Let,

(-3, 2) = (x_1, y_1)

(4, 2) = (x_2, y_2)

Plug in the values into the formula

Slope = \frac{2 - 2}{4 -(-3)}

= \frac{0}{7}

slope = 0

8 0
3 years ago
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