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trapecia [35]
3 years ago
6

Lauren and her family went to Maggiano's for dinner and spent $92.00. Lauren's family wanted to leave a 15% tip. How much will L

auren's family pay for their meal, including tip?
Mathematics
1 answer:
Andrews [41]3 years ago
6 0

Answer:

105.8

Step-by-step explanation:

You might be interested in
Which sequence is modeled by the graph below?
mariarad [96]

Answer:

a_n=27\left(\dfrac{1}{3}\right)^{n-1}

Step-by-step explanation:

From inspection of the graph, the given points are:

  • (2, 9)
  • (3, 3)
  • (4, 1)

If we draw a line through the given points, the line is a curve rather than a straight line. If the line was a straight line, the graph would be modeled as an arithmetic sequence. Therefore, as the line is a curve, the given points are modeling a geometric sequence.

<u>General form</u> of a geometric sequence:

 a_n=ar^{n-1}

where:

  • a is the first term
  • r is the common ratio
  • a_n is the nth term

Rewrite the given points as terms of the sequence:

  • (2, 9)  ⇒  a₂ = 9
  • (3, 3)  ⇒  a₃ = 3
  • (4, 1)  ⇒  a₄ = 1

To find the common ratio r, divide consecutive terms:

\implies r=\dfrac{a_3}{a_2}=\dfrac{3}{9}=\dfrac{1}{3}

Calculate the first term (a) by substituting the found value of r and the given values of one of the terms into the formula:

\implies a_2=9

\implies a\left(\dfrac{1}{3}\right)^{2-1}=9

\implies \dfrac{1}{3}a=9

\implies a=27

Substitute the found values of r and a into the general formula to create the sequence modeled by the graph:

a_n=27\left(\dfrac{1}{3}\right)^{n-1}

Learn more about geometric sequences here:

brainly.com/question/25398220

brainly.com/question/27783194

5 0
1 year ago
Read 2 more answers
Find the distance from P to l. Line l contains points (-4,2) and (3,-5).Point P has coordinates (1,2).
Annette [7]
Hello,

A=(-4,2)
B=(3,-5)
AB≡y-2=(x+4)(-7)/7==>y=-x-2

Slope of the perpendicular: 1

y-2=(x-1)1==>y=x+1 is the equation of the perpendicular.

Intersection: y=x+1 and y=-x-2 ==>(-3/2,-1/2)=Q

|PQ|²=(-1/2-2)²+(1+3/2)²=25/2
|PQ|=5√2/2≈3.5355339059....



7 0
3 years ago
Is what I did a correct step?<br>If so, what is the next step?<br>​
qaws [65]
Next step would be 5x10x5
8 0
3 years ago
Does the table below represent a proportional relationship?
Ad libitum [116K]

Answer:

C

Step-by-step explanation:

Here, we want to know if the table represents a proportional relationship

Looking at the table, if we multiply the x-terms by -4, we get the y-terms

So the answer here is that Yes, because all the ratios of y to x are equal to -4

6 0
2 years ago
X=4, y= -7, z=9 solve: -2x-3y+z
vesna_86 [32]

Answer:

22

Step-by-step explanation:

To solve this we can plug the values in.

-2x-3y+z

-2(4)-3(-7)+(9)

Simplify.

-8+21+9

Add.

22

8 0
3 years ago
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