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faltersainse [42]
3 years ago
8

Josephina likes the service she received at her favorite cafe and wants to leave a 20% tip. Her bill is $22.58. What tip should

she leave?
Mathematics
1 answer:
aleksandrvk [35]3 years ago
4 0
To get the result we have to find 20% of 22.58.
First we have convert 20% into decimal.
20% its 0.20
Finally we can multiply 0.2 and 22.58.
0.2*22.58=4.516 - its the answer
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Rus_ich [418]
For each x value, add 3 to get y values.
0+3=3
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Need help figuring out the values of x and y for 11-13 please and thank you!!
Ne4ueva [31]

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12 is 90 degrees for x and y

13 is also 90 degrees for x and y

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Find M ABC if the line BD bisects ABC and given m ABD = 5x and m DBC = 3x + 10​
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Answer:

The Answer: 50°

Step-by-step explanation:

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3 years ago
Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y)=4x2 2y2; 3x
nevsk [136]

For given f(x, y) the extremum: (12, 24) which is the minimum.

For given question,

We have been given a function f(x) = 4x² + 2y² under the constraint 3x+3y= 108

We use the constraint to build the constraint function,

g(x, y) = 3x + 3y

We then take all the partial derivatives which will be needed for the Lagrange multiplier equations:

f_x=8x

f_y=4y

g_x=3

g_y=3

Setting up the Lagrange multiplier equations:

f_x=\lambda g_x

⇒ 8x = 3λ                                        .....................(1)

f_y=\lambda g_y

⇒ 4y = 3λ                                         ......................(2)

constraint: 3x + 3y = 108                .......................(3)

Taking (1) / (2), (assuming λ ≠ 0)

⇒ 8x/4y = 1

⇒ 2x = y

Substitute this value of y in equation (3),

⇒ 3x + 3y = 108

⇒ 3x + 3(2x) = 108

⇒ 3x + 6x = 108

⇒ 9x = 108

⇒ x = 12

⇒ y = 2 × 12

⇒ y = 24

So, the saddle point (critical point) is (12, 24)

Now we find the value of f(12, 24)

⇒ f(12, 24) = 4(12)² + 2(24)²

⇒ f(12, 24) = 576 + 1152

⇒ f(12, 24) = 1728                             ................(1)

Consider point (18,18)

At this point the value of function f(x, y) is,

⇒ f(18, 18) = 4(18)² + 2(18)²

⇒ f(18, 18) = 1296 + 648

⇒ f(18, 18) = 1944                            ..............(2)

From (1) and (2),

1728 < 1944

This means, given extremum (12, 24) is minimum.

Therefore, for given f(x, y) the extremum: (12, 24) which is the minimum.

Learn more about the extremum here:

brainly.com/question/17227640

#SPJ4

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