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2 years ago

Faith wants to add a 20% tip to a $56 restaurant bill. How much will Faith pay including the tip?

Mathematics

2 answers:

liq [111]2 years ago

4 0

Answer:

67.20$

Step-by-step explanation:

multiply 56 by 1.2

VladimirAG [237]2 years ago

4 0

Answer:

$67.2

Step-by-step explanation:

Given:

Price = $56
Tip = 20%

∴ Equation: Price + Tip = Total

⇒ 56 + (20/100 × 56) = Total

<u>Simplify the equation to obtain the total:</u>

⇒ 56 + (20/100 × 56) = Total
⇒ 56 + (20/50 × 28) = Total
⇒ 56 + (20/25 × 14) = Total
⇒ 56 + (4/5 × 14) = Total
⇒ 56 + (56/5) = Total

<u>Convert the expression in the parenthesis into decimals:</u>

⇒ 56 + (56/5) = Total
⇒ 56 + (11.20) = Total

<u>Open the parenthesis and simplify:</u>

⇒ 56 + 11.20 = Total
⇒ $67.2 = Total

Faith will pay (including the tip) $67.2.

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strojnjashka [21]

Answer:

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2 years ago

19. The cost function of a product is C(Q) = 3Q² +8 and the demand function of the same product is P =1/3 Q² — 10Q + 105, where

Kamila [148]

The marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.

<h3>What is a marginal cost?</h3>

It is defined as the cost showing an increase in the cost when the number of units produced increases, In simple words it is the ratio of the cost to quantity.

We have a cost function of a product:

C(Q) = 3Q² +8

a) To find the marginal cost to differentiate it with respect to Q and plug

Q = 4:

C'(Q) = 6Q

C'(4) = 6(4) = 24

b) R(Q) = P×Q

$\rm R(Q) = (\dfrac{1}{3} Q^2 - 10Q + 105)Q$

$\rm R(Q) = \dfrac{1}{3} Q^3 - 10Q^2 + 105Q$

R'(Q) = Q² - 20Q + 105

Plug Q = 4

R'(Q) = (4)² - 20(4) + 105

R'(Q) = 41

c) Marginal profit:

MP(Q) = R(Q) - C(Q)

After calculating:

$\rm MP(Q) = \dfrac{1}{3}Q^3-13Q^2+105Q-8$

MP'(Q) = Q² - 26Q + 105

Plug Q = 4

MP'(Q) = 16 - 104 + 105 = 17

Similar, we can find the maximum profit.

Thus, the marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.

Learn more about the marginal cost here:

brainly.com/question/7781429

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1 year ago

Simplify 12st over 4t

soldier1979 [14.2K]

$\huge{\frac{12st}{4t}=\frac{12s}{4}=\boxed{3s}$

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2 years ago

7.Find the lengths of the missing sides in the triangle. If your answer is not an integer, leave it in simplest radical form. Th

Fed [463]

Here a right angled triangle given. one angle with measure $45^o$ given. The three sides of the triangle given 4, x, y.

We have to find, the sides which is opposite, adjacent and hypotenuse here.

We know that the side opposite to right angle is always hypotenuse. So, hypotenuyse = y.

The side adjacent to the given angle $45^o$ is x. So, here adjacent = x.

The opposite side is opposite to the given angle. So, opposite = 4.

Now we will use SOHCAHTOA that is $sin(x) =\frac{Opposite}{Hypotenuse} , cos(x) =\frac{Adjacent}{Hypotenuse} , tan(x) =\frac{Opposite}{Adjacent}$ , where x is the angle given.