A manufacturer of widgets finds that the production cost, What is the selling price per widget as a function of theC, in dollars per unit is a function of the number of number of widgets produced, and what should the
widgets produced. The selling price, S, of each widget in selling price be if 15 widgets are produced?
dollars is a function of the production cost per unit
C(x) = -0.1x2 + 100
O C(S(x)) = -0.196x2 + 100, $108.64
S(C) = 1.40
O C(S(x) = -0.196x2 + 100; $55.90
O S(C(x)) = -0.14x2 + 140; $144.41
O S(C(x)) = -0.14x2 + 140, $108.50
Answers
Answer:
S(C(x)) = –0.14x2 + 140; $108.50
Step-by-step explanation:
did the assignment
Answer:
D
S(C(x)) = -0.14x2 + 140, $108.50
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You decide to put $100 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 2% per year and is compounded monthly, how long does it take you to earn $3,000 without depositing any additional funds? a. 170.202 years b. 14.3129 years c. 171.755 years d. 168.354 years
What is 8^3 * 7^-3 simplified?
How many significant figures does 0.0560
0.3(y+2)=1.7+(8-y) solve the following equation
Answers
Step by Step:
y=4(2)+2
y=8+2
y=10
circumference of the
circle? (I need a step-by-step answer for further understanding please!!)
Answers
Answer:
Since area =7.7
Then the circumference is
4 m
5 m
6 m
Answers
SA=94
L=3
W=4
94=2(3*4+3H+4H)
divide both sides by 2
47=3*4+3H+4H
47=12+7H
minus 12 both sides
35=7H
divide oth sides by 7
5=H
5m
Answers
Answer:
12 quarts of the 90% pure apple juice should be used
Step-by-step explanation:
Here, we want to calculate the number of quarts of the 90% pure apple juice to be used.
Let the number of quarts of the 90% pure apple juice to be used be x;
This brings the total of the 85% result to (4 + x)
By mathematical convention;
4 quarts of 70% + x quarts of 90% = (4 + x) of 85%
70% = 70/100 = 0.7
90% = 90/100 = 0.9
85% = 85/100 = 0.85
Thus, mathematically;
(0.7 * 4) + (0.9 * x) = 0.85(4 + x)
2.8 + 0.9x = 3.4 + 0.85x
Let’s collect like terms
3.4 -2.8 = 0.9x -0.85x
0.6 = 0.05x
x = 0.6/0.05
x = 12
Final answer:
To get an 85% pure mixture, you need to combine 4 quarts of 70% pure apple juice with 4 quarts of 90% pure apple juice. This is obtained by setting and solving an algebraic equation based on percentage purity and volume.
Explanation:
This problem relates to an area of mathematics known as algebra. We are trying to find the amount of 90% pure apple juice needed to achieve an 85% pure mixture with a 4 quart bottle of 70% pure apple juice.
First, let's set up an equation based on the given information:
70%(amount of 70% pure apple juice) + 90%(amount of 90% pure apple juice) = 85%(total amount of apple juice mix)
Since the 70% pure apple juice is 4 quarts, the equation becomes:70%(4 quarts) + 90%(x) = 85%(4 quarts + x)
Next, we will solve for x. To do this, convert the percentages into decimals, multiply through, simplify and solve.
0.7(4) + 0.9x = 0.85(4+x)
2.8 + 0.9x = 3.4 + 0.85x
Solving for x, we get that x = 4 quarts.
So, you would need 4 quarts of the 90% pure apple juice to get an 85% pure mixture with your 4 quart of 70% pure apple juice.
Learn more about algebra here:
#SPJ3
Answers
Answer:
Simplified expressions which represents the area of the floor of the conference room in square meters is:
3x²-13x+4
Step-by-step explanation:
A conference room is in the shape of a rectangle.
Its floor has a length of (x − 4) meters and a width of (3x − 1) meters.
we know that Area of rectangle=Length×Breath
Area of floor of the room=(x-4)(3x-1)
(x-4)(3x-1)=x(3x-1)-4(3x-1) (Distributive property)
= 3x²-x-12x+4 (Distributive property)
= 3x²-13x+4 (On combining the like terms)
Hence, simplified expressions which represents the area of the floor of the conference room in square meters is:
3x²-13x+4