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Dafna11 [192]
2 years ago
15

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.
Mathematics
1 answer:
Pani-rosa [81]2 years ago
8 0

Answer:

Step-by-step explandation:

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(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y
a_sh-v [17]

Answer:

The equation of the line is y=45.25t+545

Step-by-step explanation:

The general for of a line is:

y=mt+n       (1)

where:

m is the slope of the line and m is the intercept with the axis of the dependent variable, y in this case.

In order to obtain the value of the slope (m) we can use the corresponding slope formula:

m=\frac{y_{2}-y_1 }{t_2-t_1}         (2)

where t_1, t_2, y_1 and y_2 are the corresponding coordinates of the given points. In this case:

t_1=0\\t_2=4\\y_1=545\\y_2=726\\

Substituting these values in equation (2) we obtain:

m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25

Hence, the line equation is now:

y=45.25t+n     (3)

Now to obtain the value of n you can follow two options:

  1. You can substitute one of your points, A or B, in equation (3). In this way, you will obtain an equation where the variable is n

Note that for this question, it is easier to select point A because of having the independent variable equals to zero t=0. Hence, substituting point A in equation (3):

45.25*0+n=545\\n=545

Therefore, the line equation is: y=45.25t+545

The second option to find n is to think of the meaning of the <em>intercept</em>. The <em>intercept </em>of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that n is equal to 545.

See the attachment for a plot of the line.

7 0
3 years ago
Net sales is the difference between sales and returns.<br>True<br>False​
Diano4ka-milaya [45]

Answer:

True

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Dont get it wrong, if its wrong i fail, explain how you got your answer
damaskus [11]

Answer: 50.24

Area of a circle is pi times r^2

The r is 1/2 the d

So 8/2 = 4

Pi times 4^2= 50.24

7 0
3 years ago
A rectangular garden is to be fenced so that one of the sides is 5 feet longer than an adjacent side (s). Which of the following
Sophie [7]
The correct answer is:  [B]:  " s² + 5s " .
________________________________
A = s(s+5) = s² + 5s ; 

→ which is:  Answer choice:  [B] .
________________________________
3 0
3 years ago
Please answer the question below. please provide an explanation as well. thanks!
Elena-2011 [213]

Answer:

14

Step-by-step explanation:

Since S is the midpoint of RT, then RS = ST

RS = RT - ST = (3x + 7) - (x + 7) = 3x + 7 - x - 7 = 2x

so we get that RS = 2x

but since RS = ST, and RS=2x & ST=x+7

then 2x = x + 7

       2x-x = 7

        x = 7

ST = x+7 = 7+7 = 14

P.S. Hope it makes sense. If you have any questions, feel free to ask them in the comments senction. I'll be happy to help. Have a wonderful day!

7 0
2 years ago
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