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umka21 [38]
3 years ago
14

Alice is playing her bill at a restaurant. The tax on the cost of her meal is 5%.She decides to leave a tip of 20% of her cost o

f the meal plus the tax. Write an expression for her total bill if the cost of her meal is m dollars. Write your answer un simplest form.
Mathematics
2 answers:
Oxana [17]3 years ago
5 0

Answer:

5% * 20% = 0.01

Step-by-step explanation:


Kitty [74]3 years ago
4 0

Answer:

She decides to leave a tip of 20% of the cost of the meal plus the tax. Write an expression for her total bill if the cost of her meal is m dollars

Step-by-step explanation:


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A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid
Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = 2 \times width

Base area = lb

= 2x^2

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}

Now, cost is

= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}

now we have to minimize C(x)

So, we need to compute the C'(x)

= 52x - \frac{648}{x^2}

C"(x)  = 52x - \frac{1,296}{x^3}

now for the critical points, we will solve the equation C'(x) = 0

= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}

C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0

So, x is a point of minima that is

= (\frac{648}{52} )^\frac{1}{3}

Now, Base material cost is

= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}

= 139.75

Side material cost is

= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3}  }

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0
3 years ago
in massaschusetts a team of scientists studying great white sharks estimate that a population of 15000 seals support fewer than
Evgen [1.6K]

Answer:

The higher you go in the good chain the lower the population.

Explanation:

In the food web, there are only a few sharks since in the food chain they are higher. Just 10% energy is retained in the tissues once the energy is moved from one trophic level to another, and the leftover power is emitted as metabolic energy.

If an animal is high up the energy ladder, the individual has less resources; thus, a few of the highest predators are present in an ecosystem.

3 0
3 years ago
Pls help me with math ASAP
Vladimir79 [104]
C. Supplementary
This means their angles add up to 180° which is a straight line
3 0
3 years ago
Read 2 more answers
Sarah rolls a die twice. What is the probability that she rolls a 3 and then an even number?
egoroff_w [7]
1/12

This is because she has a 1/6 chance of getting a 3 on the first try and then a 1/2 chance of getting an even on the second. Multiply these two together to get your answer. 
7 0
3 years ago
The expression 3 ( 1 . 5 )^ t models the number of bacteria in a culture as a function of the number of hours since the culture
Masteriza [31]

Answer:

A

Step-by-step explanation:

Given

3(1.5)^{t}

When the culture was created t = 0, thus

3(1.5)^{0} = 3 × 1 = 3

That is there were initially 3 bacteria in the culture → A

4 0
3 years ago
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