Answer:
Step-by-step explanation:
Find the z-value with a left tail of 0.40
invNorm (0.40) = -0.2533
----
Find the corresponding x-value using x = z*s + u
x = -0.2533*20 + 400 = 394.93
Help...............................
A company has determined that its profit for a product can be described by a linear function.
The profit from the production and sale of 150 units is $455, and the profit from
250 units is $895.
(i) What is the average rate of change of the profit for this product when
between 150 and 250 units are sold?
(ii) Write the equation of the profit function for this product.
(iii) How many units give break-even for this product?
(b) You are the CEO for a lightweight compasses manufacturer. The demand
function for the lightweight compasses is given by p = 40 − 4q
2where q
is the number of lightweight compasses produced in millions.It costs the company $15
to make a lightweight compass.
(i) Write an equation giving profit as a function of the number of lightweight compasses
produced.
(ii) At the moment the company produces 2 million lightweight compasses and makes a profit
of $18,000,000, but you would like to reduce production. What smaller number of
lightweight compasses could the company produce to yield the same profit?
Step-by-step explanation:
(a)(i) The average rate of change is:
(895 − 455) / (250 − 150)
4.4
(a)(ii) Since the profit is linear, the slope of the line is equal to the average rate of change. Using point-slope form:
y − 455 = 4.4 (x − 150)
Simplifying to slope-intercept form:
y − 455 = 4.4x − 660
y = 4.4x − 205
(a)(iii) The break-even point is when the profit is 0.
0 = 4.4x − 205
4.4x = 205
x = 46.6
(b)(i) The "demand function" is the selling pice of the compasses:
p = 40 − 4q²
where p is the price in dollars and q is the quantity in millions of units.
Profit is revenue minus cost.
P = R − C
P = pq − 15q
P = (p − 15) q
P = (25 − 4q²) q
P = 25q − 4q³
where P is the profit in millions of dollars and q is the quantity in millions of units.
(b)(ii) Find values of q when P = 18.
18 = 25q − 4q³
4q³ − 25q + 18 = 0
We know that q=2 is a root of this equation. Using grouping:
4q³ − 8q² + 8q² − 25q + 18 = 0
4q² (q − 2) + (q − 2) (8q − 9) = 0
(q − 2) (4q² + 8q − 9) = 0
4q² + 8q − 9 = 0
Solve with quadratic formula.
x = [ -b ± √(b² − 4ac) ] / 2a
q = [ -8 ± √(8² − 4(4)(-9)) ] / 2(4)
q = (-8 ± √208) / 8
q = (-8 ± 4√13) / 8
q = (-2 ± √13) / 2
Since q is positive, q = (-2 + √13) / 2, or approximately 0.803.
Find the volume of a pyramid with a square base, where the perimeter of the base is 15.4 and the height of the pyramid is 13.1. Round your answer to the nearest tenth of a cubic meter.
The requried volume of the pyramid is 64.9 cubic meters.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
The first step is to find the area of the square base. Since the perimeter of the base is 15.4, each side of the square has a length of:
15.4 / 4 = 3.85
Therefore, the area of the base is:
A = (3.85)² = 14.8225 square meters
The volume of a pyramid is given by the formula:
V = (1/3) * A * h
where A is the area of the base and h is the height of the pyramid. Substituting the values given in the problem, we get:
V = (1/3) * 14.8225 * 13.1
V = 64.91925 cubic meters
Rounding to the nearest tenth of a cubic meter, we get:
V ≈ 64.9 cubic meters
Therefore, the volume of the pyramid is approximately 64.9 cubic meters.
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ3
A bakery sells, on average, 100 special breads per day and collects with these sales, on average, R $ 300.00. It was found that the quantity of special breads sold daily increases if the price is reduced, according to the equation q = 400 - 100p, in which q represents the quantity of special breads sold daily and p, its price in reais. In order to increase the flow of customers, the bakery manager decided to run a promotion. To do so, it will modify the price of special bread so that the quantity to be sold daily is as large as possible, without decreasing the average daily collection on the sale of this product. The price p, in reais, of the special bread in this promotion should be in the range
a) R $ 0.50 p
b) R $ 1.50 p
c) R $ 2.50 p
d) R $ 3.50 p
e) R $ 4.50 p
If the price is p and the quantity of bread sold is q = 400 - 100p, the average collection, in reais, depending on the price p, is given by R (p) = (400 - 100p). P
For this collection to be R $ 300.00, you must have:
(400 - 100p). p = 300 ⇔ 4p - p² = 3 ⇔ p² - 4p + 3 = 0 ⇔ p = 1 or p = 3
R $ 300.00
The current price is R $ 3.00, as R $ 300,000 / 100 = R $ 3
To maintain the collection, the price must be lowered to R $ 1.00 (R $ 0.50 <R $ 1.00 <R $ 1.50)
ANSWER: letter A
Richard is W years old express algebraically is age 10 years ago
Answer:
W-10
Step-by-step explanation:
Plzz mark me brainlest as it really need it to level up
PLZ HELP
Explain how to multiply mixed numbers.
Step-by-step explanation:
Change each number to an improper fraction.
Simplify if possible.
Multiply the numerators and then the denominators.
Put answer in lowest terms.
Check to be sure the answer makes sense.
what is the value of xy/w if x=-3, y=4 and w= -6. A. 2 B. -2 C. 1/2 D. -1/2
Answer:
A. 2Step-by-step explanation:
Put x = -3, y = 4 and w = -6 to the expression xy/w = (xy) : w
(-3 · 4) : (-6) = -12 : (-6) = 2
Find the distance and midpoint for the points (3,4) and (19, 16).
The distance is
The midpoint is a (, )
Given parameters:
Coordinates of the points = (3,4) and (19, 16)
Unknown:
The distance between the points = ?
The midpoint = ?
Solution:
The distance between two points can be mathematically solved using;
D = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
where x₁ = 3, x₂ = 19 and y₁ = 4, y₂ = 16
Input the parameters and solve;
D = [tex]\sqrt{(19 - 3)^{2} + (16 - 4)^{2} }[/tex] = 20
Midpoint;
The expression is given as;
x[tex]_{m}[/tex] , y[tex]_{m}[/tex] = [tex]\frac{x_{1} + x_{2} }{2}[/tex] , [tex]\frac{y_{1} + y_{2} }{2}[/tex]
input the parameters and solve;
= [tex]\frac{3 + 19}{2}[/tex] , [tex]\frac{4 + 16}{2}[/tex]
= 11 , 10
The midpoint is (11, 10)
Solve using equivalent ratios.
Leila and Joe are two partners in a business. Leila makes $5 in profits for every $9 that
Jo makes. If Jo makes $36 profit on the first item they sell, how much profit does Leila
make?
Answer:
$20
Step-by-step explanation:
Leila to Jo: $5/$9
Leila to Jo: x/$36
5/9 = x/36
Cross multiply.
9x = 5 * 36
Divide both sides of the equation by 9.
x = 5 * 4
x = 20
Answer: $20
7th grade math help me plzzzz
Answer:
The bottom left option
Step-by-step explanation:
The answer is equal to 44.
Answer:
bottom left
Step-by-step explanation:
Solve 27 * 9
help and explain this to me! im in 6th grade so dont make it to hard
Answer:
243
Step-by-step explanation:
I think it is just 27 times 9
Answer:
243
Step-by-step explanation:
pls help i’m not sure how to do thhis
Answer:
I would say that shape E and A has symmetry.
Step-by-step explanation:
The line of symmetry means that on both sides of the shape from the middle part, it is equal. For example, a square has symmetry because it is equal when you split in in half.
If you were to rotate E and A a little, the slice it in half, it is equal on both sides, thus having symmetry.
Using the table, what is the average daily balance of the credit card for the August 1 - August 31 billing period? Round your answer to the nearest cent. Do not include a dollar sign or comma in your answer. For example, $5, 678.00 should be entered as 5678.00.
DAY| ACTIVITY| ADJUSTMENT| BALANCE
1. --- ---- 1500
4. payment. -400. 1100
14. payment. -250. 850
24. payment. -100. 750
Answer:
967.74
Step-by-step explanation:
The average daily balance of the credit card for the August 1 - August 31 billing period is $943.55.
What is the average daily balance?The average daily balance can be determined by dividing the total daily balaces for August by the number of days in August.
The average daily balance = total balance / total number of days in Augst.
Total balance = (1500 x 3 days) + (1100 x10 days) + (850 x 10 days) + (750 x 7 days)
Total balance = 4500 + 11,000 + 8,500 + 5,250 = 29,250
The average daily balance = 29250 / 31 = $943.55
To learn more about division, please check: https://brainly.com/question/194007
#SPJ2
2x+--- - 3x + 2y = -2 You could produce a pair of like terms with opposite coefficients by multiplying the first equation by what number? D2 3 O O16
Answer:6
Step-by-step explanation:
Answer:
1. 6
2. Add
3. (-2,-4)
Step-by-step explanation:
Edge2020
volume of 29 mL and has a mass of 53 g what’s is the density
Answer: 1.82
Step-by-step explanation:
Density = [tex]\frac{mass}{volume}[/tex] *Divide the mass by volume.
= 1.82
mZB = xo, what is the measure of a
supplement of LB?
9514 1404 393
Answer:
supplement of ∠B = 180° -x°
Step-by-step explanation:
The supplement of an angle is the difference between 180° and that angle.
supplement of ∠B = 180° - m∠B
supplement of ∠B = 180° -x°
help please it important
x: cupcakes
y: cakes
[tex]2.50x + 15y \geqslant 510 [/tex]
cakes is 15
2.50(114)+15y....≥510
(285+15y≥510)-285
(15y≥225)/15
y≥15
9514 1404 393
Answer:
4. 2.5x +15y > 510
5. y > 10
Step-by-step explanation:
4. The revenue from each of x cupcakes is 2.50, so the total revenue from cupcake sales is 2.50x.
The revenue from each of y cakes is 15.00, so the total revenue from cake sales is 15.00y.
The total revenue from sales of cupcakes and cakes is more than 510, so we can write the inequality ...
2.5x +15y > 510 . . . . possible combinations of cakes and cupcakes
__
5. For x=144 the constraint on y is ...
2.5(144) +15y > 510
360 +15y > 510
15y > 150
y > 10 . . . . possible number of cakes sold
5. What is the probability of rolling a 4 on a number
cube and pulling a red marble out of a bag that
contains 3 red, 2 black, and 5 yellow marbles?
The probability of rolling a 4 on a number cube and pulling a red marble out of the bag is 1/20.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.
The probability of rolling a 4 on a number cube is 1/6, since there is one way to roll a 4 out of six possible outcomes (1, 2, 3, 4, 5, 6).
The probability of pulling a red marble out of the bag is 3/10, since there are three red marbles out of a total of ten marbles.
To find the probability of both events happening (rolling a 4 and pulling a red marble), we multiply the probabilities:
(1/6) x (3/10) = 1/20
Therefore, the probability of rolling a 4 on a number cube and pulling a red marble out of the bag is 1/20.
To know more about probability visit :
https://brainly.com/question/13604758
#SPJ1
Melissa is saving $25 that she earned for washing her mom’s car. She earns $19 every week for doing chores, which she also saves. Which equation can be used to find t, the amount of money Melissa will have saved at the end of n weeks of doing chores.
Answer:
25+19x=t At least I think
Simplify using the distributive property
Which number can be distributed across two terms inside parentheses
Answer:
3/5 is the number that can be distributed across two terms inside parentheses.
you might not need it but:
x = 5
Step-by-step explanation:
3/5(x - 10) = 18 - 4x - 1
using distributive property, open the parentheses:
3/5x - 6 = 18 - 4x - 1
Simplify:
3/5x + 4x = 17 + 6
4⅗x = 23
x = 5
Answer:
It's 3/5
Step-by-step explanation:
It's 3/5
what is the value of the 2 in 0.812 as a fraction.
Answer:
[tex]\frac{1}{500}[/tex]
Step-by-step explanation:
0.002 is in the thousandths place. Therefore, [tex]\frac{2}{1000}[/tex] is simplified to [tex]\frac{1}{500}[/tex].
please help me asap
Answer:
53/10
Step-by-step explanation:
First do 10 time 5 to get 50 then add 3 for 53.
tl;dr: A.) [tex]\frac{53}{10}[/tex]
Hello!
A very easy way to write mixed fractions as improper fractions is to multiply the denominator and the whole number, and then add the numerator to your product. Make sure you keep the same denominator as before.
So, first you multiply.
10 · 5 = 50
Now, you add the numerator.
50 + 3 = 53
Remember to keep your denominator.
[tex]\frac{53}{10}[/tex]
Your answer is A.) [tex]\frac{53}{10}[/tex]
Hope this was helpful. Have a great day!
What is the value of the question mark?
5/10=?/70
Answer:
35
Step-by-step explanation:
5/10 x 7 = 35/50
Answer:
35/70
Step-by-step explanation:
what’s the answer bruh? I need help fr fr
Answer:
C.
Step-by-step explanation:
Very simple! First we have to take 4x-y=24 and put it in slope intercept form. We get y=4x-24. After this, we have to find the reciprocal of the slope (4). The reciprocal is 1/4. Which equation has a slope of 1/4? C does!
Answer:
A
Step-by-step explanation:
What is the sum of 13 + (-8)?
-5
5
-21
21
Answer:
Step-by-step explanation:
5
I honestly have no idea what to do here
Problem 1
Answer: DF = 2.68-----------------------------------
Explanation:
The scale factor is DE/AB = 1.34/2 = 0.67
This means DE is 67% of the length of AB
Or you could say that DE = 0.67*AB
This means that
DF = 0.67*AC
DF = 0.67*4
DF = 2.68
Side note: AC and DF are the first and last letters of ABC and DEF respectively. This is why AC and DF correspond together.
===========================================================
Problem 2
Answer: EF = 2.01-----------------------------------
Explanation:
We'll use the same scale factor to find EF
new side = (scale factor)*(old side)
EF = 0.67*BC
EF = 0.67*3
EF = 2.01
Side note: BC and EF are the last two letters of ABC and DEF respectively, so BC corresponds to EF.
In basketball,
some baskets are worth three points. In
one game, the ratio of three-point baskets
made to three-point attempts for one team
was 3:4. If the team scored 27 points from
three-point baskets, how many three-point
attempts did the team have?
Answer: 20
Step-by-step explanation:
The ratio is 3/4, or 0.75. The team scores 3-pt. baskets on 75% of shots taken. 27 x .75 = 20.25 (round to 20)
does anyone know how to write in roman numerals ?
Step-by-step explanation:
nnnnnnnnnnnnooooooooooooo
Helppdjsj please! :(
ANSWER
0.12
EXPLAINATION:
turn 4 into a fraction ( 4/1 )
divide 12/25
since you cant divide fractions, you use KCF (keep change flip)
keep 12/25 changed division to multlication and flip 4/1 to 1/4
now multiply 12/25 x 1/4
Your answer is 0.12
Hope this helps!!
Salma must choose a number between 55 and 101 that is a multiple of 2, 8, and 16. Write all the numbers that she could
choose. If there is more than one number, separate them with commas.
Answer:
5*8=40, not big enough product
2*5*8=80, works
3*5*8=120, too bigStep-by-step explanation:
55
and
101
that is a multiple of
4
,
5
, and
8
The numbers between 51 and 101 and multiple of 2,8, and 16 are 80 and 96.
What is a number system?A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.
Given that Salma must choose a number between 55 and 101 that is a multiple of 2, 8, and 16.
To calculate the numbers between 55 and 101 and are the multiple of 2,8, and 16. Get the multiple of 16 which will be the multiple of 8 and 2.
80 and 96 is the multiple of 16 and also of 8 and 2.
80 = 8 x 10 = 80
80 = 16 x 5 = 80
80 = 40 x 2 = 80
96 = 16 x 6 = 96
96 = 48 x 2 = 96
96 = 8 x 12 = 96
Therefore, the numbers between 51 and 101 and multiples of 2,8, and 16 are 80 and 96.
To know more about a number system follow
https://brainly.com/question/24129922
#SPJ2