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Rufina [12.5K]
3 years ago
8

Marilyn purchased a book that had a regular price of $19. She used a coupon that reduced the regular price by 15%. Sales tax for

the purchase was 6.5% of the reduced price. Marilyn paid for the purchase with a $20 bill. How much change should Marilyn receive for her purchase? Use words, numbers, or diagrams to justify your answer
Mathematics
1 answer:
Alika [10]3 years ago
4 0

Answer:

2.80

Step-by-step explanation:

The discount is the regular price times the discount

discount = 19 *15%

discount = 2.85

The new price is the regular price minus the discount

new price = 19-2.85

                 =16.15

Now she has to pay the sales tax

tax = new price * tax rate

tax= 16.15 * 6.5%

     = 16.15 *.065

       =1.05

We add the tax to the new price to get the final price

final price = new price+tax

                = 16.15 +1.05

                =17.20

She pays with a 20 dollar bill

Change = payment - final price

              =20.00 - 17.20

              = 2.80

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Find ​(a) the slope of the curve at the given point​ p, and ​(b) an equation of the tangent line at p. y=−2−9x2​; ​p(2​,−38​)
Neporo4naja [7]

Answer:

a) -36

b) y = -36x +34

Step-by-step explanation:

a) The slope is found using the derivative of the function.

  f'(x) = dy/dx = 0 -9(2x) = -18x

Then at x=2, the slope is ...

  f'(2) = -18·2 = -36

___

b) The point-slope form of the equation can be written as ...

  y = -36(x -2) -38

Simplifying to slope-intercept form, we get ...

  y = -36x +34

6 0
3 years ago
A can of soda is placed inside a cooler. As the soda cools, its temperature T(x) in degrees Celsius is given by the following ex
Lana71 [14]

Answer:

Ans: -21.87 ≅ -22°C

Step-by-step explanation:

T(x)=-22+44e^-0.03x

 

Initial temperature (x = 0):

 

T(0) = = -22 + 44e-0.03(0) = -22 + 44(1) = 22°C

 

After 18 minutes (x = 18):

 

T(18) = -22 + 44e-0.03(18) = -21.87°C ≅ -22°C

6 0
2 years ago
A dairy sells $3 and $5 ice creams. In one day they sell 50 ice creams earning a total of $180. How many of each type of ice cre
murzikaleks [220]
We are going to make simultaneous equations.
x will be our $3 ice cream and y will be our $5 ice cream

Equation1 ----            x + y = 50   (the sum of all the ice creams they sell)
Equation 2 ----          3x + 5y = 180  Sum of all the $3 and $5 ice creams is $180
Since we can't solve for both variables we will put one of the variables in terms of the other.
Take x+y=50 and subtract y from both sides.  (I could have done subtracted x - it did not matter).       Now we have x= ₋ y +50  (negative y +50)
Now I am going to take equation 2 and replace the x with -y +50

3 (-y +50) + 5y = 180   
Now I will use the distributive law on the 3 and what's in the parentheses:
-3y + 150 + 5y = 180
Now I will combine like terms (the -3y and the 5y)
2y + 150 = 180
Now subtract 150 from both sides of the equation
2y = 30
Divide both sides by 2
and get y= 15 They sold 15 ice creams that cost $5 each
Since equation 1  is  x+y=50 we can replace y with 15
x + 15 = 50    Now subtract 15 from both sides  x = 35
Since x represents the $3 ice creams, they sold 35 of those.
Check:
35 X 3 = $105
15 x 5  = +  <u>75
</u>               $180  

8 0
3 years ago
I need help on this.
tiny-mole [99]

Step-by-step explanation:

Given

22m - 33 = 11( 2m) - 11(3)

= 11 ( 2m - 3 )

Hope it helps :)

3 0
3 years ago
Find the quotient.<br> 3/10/3.8
Evgen [1.6K]

Answer:

1.14

Step-by-step explanation:

3/10/3.8

=3/10×3.8

=0.3×3.8

=1.14

pls mark brainliest

3 0
2 years ago
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