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Tom [10]
2 years ago
6

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.17 before the discount, and

they leave a 20% tip. If the tip applies to the cost of the meal before the discountwhat is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
Mathematics
2 answers:
vredina [299]2 years ago
8 0

Answer:

$ 93.804 or $93.80 after rounding.

Step-by-step explanation:

Pachacha [2.7K]2 years ago
3 0

Answer:

The 15% discount means that they only pay 100%-15% = 85% of the meal's bill.

This would cost 85% * 78.65.

However, they also have to pay a 20% tip of the meal cost.

This would cost 20% * 78.65.

Total Cost = (85% * 78.65) + (20% * 78.65)

= 105% * 78.65

= 1.05 * 78.65

= $82.58

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Sin(60-theta)sin(60+theta)​
ehidna [41]

Step-by-step explanation:

\sin(60 -  \theta)  \sin(60 +  \theta)  \\  =  \{ \sin(60)  \cos( \theta)  -  \sin( \theta)   \cos(60)  \} \{ \sin(60)  \cos( \theta)  +  \cos(60)  \sin( \theta)  \} \\  =  \{ \frac{ \sqrt{3} }{2}  \cos( \theta)  -  \frac{1}{2}  \sin( \theta)  \} \{ \frac{ \sqrt{3} }{2}  \cos( \theta)  +  \frac{1}{2}  \sin( \theta)  \} \\  \\

from difference of two squares:

{ \boxed{(a - b)(a + b) = ( {a}^{2} -  {b}^{2} ) }}

therefore:

=  \{ {( \frac{ \sqrt{3} }{2}) }^{2}  { \cos }^{2}  \theta \} -  \{ {( \frac{ \sqrt{3} }{2} )}^{2}  { \sin }^{2}  \theta \} \\  \\  =  \frac{3}{4}  { \cos }^{2}  \theta -  \frac{3}{4}  { \sin}^{2}  \theta

factorise out ¾ :

=  \frac{3}{4} ( { \cos }^{2}  \theta  -  { \sin}^{2}   \theta) \\  \\  = { \boxed{ \frac{3}{4}  \cos(2 \theta) }}

3 0
3 years ago
Read 2 more answers
Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?
Bad White [126]

Answer:

5

Step-by-step explanation:

Use the distance formula d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

insert the numbers into the formula d=\sqrt{(2+1)^2+(0-4)^2}

2+1=3 and 0-4=-4

3^2 =9 and -4^{2} = 1

9+16=25

the square root of 25 is 5

6 0
3 years ago
Read 2 more answers
Marshall and Peter went to lunch at a cafe. They ordered a spinach salad for $4.15, a tuna sandwich for $6.35, and 2 glasses of
garri49 [273]

Answer:

$1.05

Step-by-step explanation:

The amount of money they should pay is 4.15+6.35+2*1.1+1.25 = $13.95

The change is 15-13.95=$1.05

8 0
3 years ago
Bob decided to go to college, the cost of going to school will be $4,474 per semester, (there are 2 semesters per year) plus $38
SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

1 semester = 4474

8 semester = 8* 4474                    35792

1 semester books = 389

8 semester books = 8* 389            <u> 3112 </u>

Total                                                38904  

If he is going to pay this off in 10 years, he would have to have an increase of 3890.40 (after all income taxes) to pay it off. Fewer years would mean dividing by the number of years.

So for 8 years for example, he would need 4863 every year.

That number is obtained by dividing 38904 / 8

In 6 years he would need

38904/6 = 6484 extra dollars.        

5 0
3 years ago
Abby's school is 6 blocks west of her house. Her mother works at a store that is 4 blocks east of her school. Use a number line
faltersainse [42]

Answer:

<h2>10</h2>

Step-by-step explanation:

Let us give a proper illustration in the number line

let H be Abby's house

and S be the school

let W be her mother's work.

kindly find attached a rough sketch of the number line for your reference

Question:<em> What value represents the difference in position between Abby's house and her mother's store?</em>

basically, the distance between two points on a number line is the difference between the points.

So the value that represents the position between Abby's house and her mother's store is the distance between the two points.

= 4-(-6)

=4+6

=10  

7 0
3 years ago
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