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Ipatiy [6.2K]
3 years ago
13

Kellens bill at a restaurant before tax and tip is $22.00. If tax is 5.25% and he wants to leave 15% of the bill including the t

ax for a tip, how much will he spend in total
Mathematics
1 answer:
borishaifa [10]3 years ago
5 0
The answer is 26.63.
22 x 5.25% = 1.16
22 + 1.16 = 23.16
23.16 x 15% = 3.47
23.16 + 3.47 = 26.63
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Answer:

\huge \boxed{\mathrm{500 \ miles}}

Step-by-step explanation:

A right triangle is formed.

300 miles and 400 miles are the legs of the triangle.

We can apply Pythagorean theorem.

c=\sqrt{300^2 +400^2 }

c=\sqrt{90000 +160000}

c=\sqrt{250000}

c=500

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2 years ago
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3 years ago
Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a
Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

U(x, y) = x^2y^8

MU_x =\frac{\partial U}{\partial x}  = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\

Price of apples, Px=$4

Price of tomatoes,  Py=$3

Ratio of their Marginal Utilities

\frac{MU_x}{MU_y}  =  \frac{Px}{Py}

\frac{y}{4x}  =  \frac{4}{3}

y=\frac{16x}{3}

Since Natalie’s income is $320

320 = xPx+yPy

320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33

Since x=16, Natalie will consume 16 apples.

6 0
3 years ago
What is the solution for 4x+5=
Mamont248 [21]
I think the answer is 9
4 0
3 years ago
Read 2 more answers
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Marat540 [252]

Answer:

ZB= 39°

Step-by-step explanation:

complementary angles are angles that add up to equal 90

equation:  7x + 23 + 5x + 19 = 90

add like terms: 12x + 42 = 90

subtract 42 from both sides: 12x = 48

divide both sides by 12: x = 4

plug in the value of x to the equation for ZB: 5(4) + 19

simplify: ZB= 39°

5 0
3 years ago
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