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Aliun [14]
2 years ago
6

You and a friend go out to eat, the food and drinks cost $22.50, and there is a 9% sales tax. How much is the bill? (Round to th

e nearest cent)
Mathematics
1 answer:
Ludmilka [50]2 years ago
6 0

Answer:

24.53

Step-by-step explanation:

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You are planning to give you're a regale birthday surprise this coming 12 of July as she about to celebrate her 50th birthday. T
velikii [3]

All functions have an inverse expression.

  • The cost function is: \mathbf{C(x) = 40000 + 100x}.
  • The inverse function is: \mathbf{C'(x) = 0.01x - 400 }

From the question, we have the following observations:

  • Base fare = 50000 pesos for first 100
  • Additional guest = 100 pesos

So, the cost function would be:

\mathbf{C(x) = 50000 + (x - 100) \times 100}

Where: x represents the number of guests, and C(x) represents the cost function

Expand

\mathbf{C(x) = 50000 + 100x - 10000}

Evaluate like terms

\mathbf{C(x) = 40000 + 100x}

To calculate the inverse function, we have:

\mathbf{C(x) = 40000 + 100x}

Replace C(x) with y

\mathbf{y = 40000 + 100x}

Swap x and y

\mathbf{x = 40000 + 100y}

Subtract 40000 from both sides

\mathbf{x - 40000 = 100y}

Divide both sides by 100

\mathbf{\frac{x - 40000}{100} = y}

Rewrite as:

\mathbf{y= \frac{x - 40000}{100} }

Split

\mathbf{y= \frac{x}{100} - \frac{40000}{100} }

\mathbf{y= 0.01x - 400 }

Hence, the inverse function is: \mathbf{C'(x) = 0.01x - 400 }

Read more about functions and inverse at:

brainly.com/question/10300045

3 0
2 years ago
A new shirt for Samantha has a price of $99.75. Since there is no PST on children's clothes, the only tax she has to pay is 5% G
sleet_krkn [62]

Answer:

Samantha needs to pay $5 for the GST.

Step-by-step explanation:

In order to determine the amount of GST that Samantha needs to pay, you can use the rule of three to fnd the 5% given than 99.75 represents 100%:

$99.75→100%

     x    ←  5%

x=(99.75*5)/100= 5

According to this, the answer is that Samantha needs to pay $5 for the GST.

5 0
3 years ago
Write 4 feet to 15 inches as a ratio. Compare in inches. Write the ratio in lowest terms.
Alja [10]
1 ft = 12 inches....so 4 ft = (4 * 12) = 48 inches

ratio is : 48 to 15...or 48/15 or 48:15......which reduces to 16/5 in lowest terms
8 0
3 years ago
The number 0.6064 represents the area under the standard normal curve below a particular z-score. What is the Z-score? Express t
Anastasy [175]
P(z < x) = 0.6064 - 0.5 = 0.1064

From the normal distribution table
P(z < 0.27) = 0.1064

Therefore the z-score is 0.27

I can't explain it very well for you, sorry. 
4 0
3 years ago
Read 2 more answers
6,10,14 ... Find the 30th term.
andriy [413]

Answer:

<h2>          a₃₀ = 120</h2>

Step-by-step explanation:

a_n=a_1+d(n-1)\\\\\\10-6=4 \ \ and\ \ 14-10=4\quad\implies\qquad d=4\\\\a_1=6\\\\\\a_{30}=6+4(30-1)=122

7 0
2 years ago
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