Answer:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ... 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ... 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ...
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Step-by-step explanation:
We have to find the vertex of m(t) = t² - 4t + 25
a = 1
b = 4
c = 25
To do that we first need to move the 25 to the other side by subtracting 25 from both sides
m(t) = t² - 4t + 25
- 25 - 25
m(t) - 25 = t² - 4t
To continue completing the square, we have to add 4 to both sides since it is the square of half of b.
m(t) - 25 + 4 = t² - 4t + 4
m(t) - 21 = t² - 4t + 4
Now, we already found the minimum amount of members, but let's finish the square completion to find the vertex.
Factor the right side
m(t) - 21 = (t-2)(t-2)
m(t) - 21 = (t-2)²
Finish it by adding 21 to both sides
+ 21 +21
m(t) = (t-2)² + 21
With this vertex form equation, we can tell that the vertex is (2,21)
Meaning 21 is the lowest number for m(t) for this equation.
a)
Add the costs of material and labor together:
Subtract this value from how much Lucy sells a necklace for:
Lucy's profit from a necklace is $7.04.
Set up a fraction where the profit is the numerator, and the sale price is the denominator to get your ratio:
The ratio will be 704/1599.
b)
Divide the profit by the sale price:
Multiply the decimal by 100 to get your percentage:
Check the tenths value to round to the nearest percent:
0 < 5
44.03 ≈ 44
44% of the sale price is profit.
c)
Divide the total amount Lucy earned at the fair by the sale price of an individual necklace:
Lucy made 14 necklaces.
To find the total profit Lucy made from the fair, multiply the total amount of necklaces she made by the profit for each necklace:
Lucy's total profits were $98.56.