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2 years ago

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The cost of a hotel room during Nigel's trip is $180. The hotel room tax in the city he is in is 11.5%. What is the total cost o

f the hotel room? Round to the nearest cent if necessary.

1 answer:

Pani-rosa [81]2 years ago

8 0

Answer:

Step-by-step explandation:

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⬆️<br> ⬆️<br><br>Question<br><br><br>Please Help ☹

zysi [14]

Answer:

<em>See the Venn diagram attached</em>

<u>Numbers given:</u>

<em>Total</em>: 100
Either a cat of a fish: 70
Cat: 46
Cat and fish: 16

<u>Neither a cat or a fish:</u> 100 - 70 = 30

<u>Fish:</u> 70 - (46 + 16) = 70 - 62 = 8

<u>Required probabilities are:</u>

a) P(neither) = 30/100 = 0.3
b) P(f) = (16 + 8)/100 = 0.24
c) P(f not c) = 8/100 = 0.08

6 0

3 years ago

Choose any number, add 3. and then multiply by 6.

uranmaximum [27]

Answer:

i chose 26. 26 + 3 = 29

29 x 6 = 174

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

i forgot how to find equivalent fractions. i know that the bottom would be times by 3 to get 18 but if you times 3 by 3 it would

tester [92]

Set up a proportion. take 3/6 = 20/x
Cross multiply 3 * x = 6 * 20
Simplify 3x = 120
Divide by 3 x = 40
So the denominator of the bottom fraction is 40

6 0

3 years ago

Read 2 more answers

carlos gets a 5% commission on his sales of shoes this week he sold 300 worth of shoes how much will he receive in commission

harkovskaia [24]

$300.00 × 0.05 = $15.00

6 0

3 years ago

Given the functionf ( x ) = x^2 + 7 x + 10/ x^2 + 9 x + 20

vladimir1956 [14]

<em>x = -4 is a vertical asymptote for the function.</em>

<h2>Explanation:</h2>

The graph of $y=f(x)$ is a vertical has an asymptote at $x=a$ if at least one of the following statements is true:

$1) \ \underset{x\rightarrow a^{-}}{lim}f(x)=\infty\\ \\ 2) \ \underset{x\rightarrow a^{-}}{lim}f(x)=-\infty \\ \\ 3) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty \\ \\ 4) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty$

The function is:

$f(x)=\frac{x^2+7x+10}{x^2+9x+20}$

First of all, let't factor out:

$f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20} \\ \\ f(x)=\frac{x(x+5)+2(x+5)}{x(x+5)+4(x+5)} \\ \\ f(x)=\frac{(x+5)(x+2)}{(x+5)(x+4)} \\ \\ f(x)=\frac{(x+2)}{(x+4)}, \ x\neq 5$

From here:

$\bullet \ When \ x \ approaches \ -4 \ on \ the \ right: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(-4^{+}+2)}{(-4^{+}+4)} \\ \\ \\ The \ numerator \ is \ negative \ and \ the \ denominator \\ is \ a \ small \ positive \ number. \ So: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=-\infty$

$\bullet \ When \ x \ approaches \ -4 \ on \ the \ left: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(-4^{-}+2)}{(-4^{-}+4)} \\ \\ \\ The \ numerator \ is \ a \ negative \ and \ the \ denominator \\ is \ a \ small \ negative \ number \ too. \ So: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=+\infty$

Accordingly:

$x=-4 \ is \ a \ vertical \ asymptote \ for \\ \\ f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20}$

<h2>Learn more:</h2>

Vertical and horizontal asymptotes: brainly.com/question/10254973

#LearnWithBrainly

5 0

3 years ago