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son4ous [18]
3 years ago
5

If Michael and Imani add an 18% tip to the bill, what does their lunch cost in total? Enter your answer in the box.

Mathematics
2 answers:
Dominik [7]3 years ago
7 0

Answer:

part A is $32.24 NOt sure what part B is yet

Step-by-step explanation:

sladkih [1.3K]3 years ago
5 0

Answer:

$35.22

Step-by-step explanation:

The bill would be $29.85, and the total would be $35.22

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Determine the sum of the terms in the series 25 + 30 + 35 + ⋯ + 245. Show your work.
scoray [572]

Answer:

6075

Step-by-step explanation:

  • Given series is: 25 + 30 + 35 + ⋯ + 245.

  • Here, first term (a) = 25
  • Common difference (d) = 5
  • Last term (a_n) = 245

  • First we find the number of terms that this series has by the following formula:

  • a_n = a+(n-1)d

  • Plugging the values of a, d and a_n, we find.

  • 245 = 25+(n-1)5

  • \implies 245 - 25=(n-1)5

  • \implies 220=(n-1)5

  • \implies \frac{220}{5}=n-1

  • \implies 44=n-1

  • \implies 44+1=n

  • \implies\red{\bold{ n=45}}

  • Thus, the given series contains 45 terms.

  • Next, we find the sum of the given series using the formula given below.

  • S_n = \frac{n}{2}(a+a_n)

  • \implies S_{45}= \frac{45}{2}(25+245)

  • \implies S_{45}= \frac{45}{2}(270)

  • \implies S_{45}=45*135

  • \implies\orange{\boxed{\boxed{\boxed{\bold{ S_{45}=6075}}}}}
6 0
2 years ago
Write an equation and solve: A merchant bought six identical ceiling fans and then purchased three more. The total cost was $1,1
zimovet [89]

Answer:

Step-by-step explanation:

1188.00÷9

4 0
3 years ago
Find the coordinates of the vertex of g(x) = |x + 1| - 2.
Mekhanik [1.2K]

Answer:

The vertex will be at ( -1,-2)

Step-by-step explanation:

g(x) = |x + 1| - 2.

The vertex of g(x) = |x |  is ( 0,0)

y = f(x) + C C < 0 moves it down  

y = f(x + C) C > 0 moves it left

We shift this  to the left 1 unit and down 2 units

( 0 -1, 0-2)

The vertex will be at ( -1,-2)

5 0
3 years ago
Read 2 more answers
A realtor is paid a base salary of 20,000 a year plus 10% commission on all property sales. What are the sales needed to ensure
Daniel [21]
She needs at least 30,000 to make an annual income of at least 50,000.. 10% of 300000 is 30,000 which will ensure her 50,000.. answer is 300,000
7 0
3 years ago
The basketball game started at 7:05 P.M. and ended at 8:00 P.M. How long did the basketball game last?
IRISSAK [1]

Answer:

55 minutes

Step-by-step explanation:

Subtract 5 from 60 (because there are 60 minutes in an hour and the game started five minutes after a new hour began) and that is your answer.

3 0
3 years ago
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