The amount paid by Lynn is $ 53.33
<em><u>Solution:</u></em>
Given that, Lynn was shopping and found a purse that was marked with a discount of 
off
Original cost of purse = $ 80
<em><u>To find: Amount paid by Lynn</u></em>
Discount = 
Therefore, discount price is given as:
Thus discount price = $ 26.67
<em><u>Amount paid by Lynn:</u></em>
Amount paid = original price - discount price
Amount paid = 80 - 26.67 = 53.33
Thus amount paid by Lynn is $ 53.33
Answer:
V = 12π
Step-by-step explanation:
Given radius of cone, r = 3 and y = 5
by Pythagorean theorem (or by recognizing that this is a standard 3-4-5 right triangle), we can determine that height of cone, x = 4 in
volume of cone is given by :
V= (1/3) πr²x
= (1/3) x π x 3² x 4
V = 12π
14 friends - 6 friends = 8
8 (friends) x 3 (dollars) = 24 (dollars total)
ANSWER = $24
Answer: 
Step-by-step explanation:
You know that "Z" is the midpoint of "YA". This means the following:
Now, you know that the expression for "YZ" is:
And the given expression for "ZA" is:
Knowing these expressions, you can substitute them into , as following:
Finally, you must add these expressions in order to get "YA".
Therefore, this is:
Due to <em>length</em> restrictions, we kindly invite to check the explanation of this question to understand the derivation of the <em>polynomic</em> expressions.
<h3>How to determine a family of cubic functions</h3>
<em>Cubic</em> functions are polynomials of grade 3. In this case, we have pairs of <em>cubic</em> functions of the following form:
y = (x - h)³ + k (1)
y = - (x - h)³ + k (2)
a) Where (h, k) are the coordinates of the vertex of each <em>cubic</em> function. There is a translation of (x, y) = (3, 1) between each two <em>consecutive</em> pairs of <em>cubic</em> functions. Hence, we have the following fourteen cubic functions:
- y = (x + 9)³ - 3
- y = - (x + 9)³ - 3
- y = (x + 6)³ - 2
- y = - (x + 6)³ - 2
- y = (x + 3)³ - 1
- y = - (x + 3)³ - 1
- y = x³
- y = - x³
- y = (x - 3)³ + 1
- y = - (x - 3)³ + 1
- y = (x - 6)³ + 2
- y = - (x - 6)³ + 2
- y = (x - 9)³ + 3
- y = - (x - 9)³ + 3
b) Another family of functions with a similar pattern is shown below:
- y = (x + 9)² - 3
- y = - (x + 9)² - 3
- y = (x + 6)² - 2
- y = - (x + 6)² - 2
- y = (x + 3)² - 1
- y = - (x + 3)² - 1
- y = x²
- y = - x²
- y = (x - 3)² + 1
- y = - (x - 3)² + 1
- y = (x - 6)² + 2
- y = - (x - 6)² + 2
- y = (x - 9)² + 3
- y = - (x - 9)² + 3
To learn more on cubic functions: brainly.com/question/25732149
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