Answer:
P=$-303,424Step-by-step explanation:
given data
fixed cost= $14,000
variable cost function
[tex]V(x) = 0.000001x^3 - 0.01x^2 + 50x[/tex]
revenue function
[tex]R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500)[/tex]
a. we know that total cost C=fixed cost plus variable cost
C=14000+0.000001x^3 - 0.01x^2 + 50x
[tex]C=14000+0.000001x^3 - 0.01x^2 + 50x[/tex]
profit is given as revenue minus the total cost
P=R(x)-C (x=2600)
[tex]P=-0.02x^2 + 150x -(14000+0.000001x^3 - 0.01x^2 + 50x)[/tex]
substitute x=2600
[tex]P=-0.02(2600)^2 + 150(2600) -(14000+0.000001(2600)^3 - 0.01(2600)^2 + 50(2600))[/tex]
[tex]P=-135200+390000-(1400+17576-67600)[/tex]
[tex]P=-254800-(48624)\\\\P=-254800-48624\\\\P=-303,424[/tex]
You roll a standard dice two times. What is the probability of getting a 6
on the first roll, then an even number on the second roll?
Answer:
4 out of 12 chance.
Step-by-step explanation:
So its a 1 out of 6 chance for the first die, and a 3 out of 6 chance on the second die, so a 4 out of 12 chance of what was said to happen.
First die:
You want to roll a 6. There is one number on each side of the die, and there are 6 sides. Since you can only get a side with 6 once, you have a 1 out of 6 chance of landing a 6.
Second die:
You want to roll an even number. There are 3 even numbers on the die (2, 4, and 6), and there are 6 sides, with the other 3 sides being odd (1, 3, and 5). Since you can only get a side that is even three times, you have a 3 out of 6 chance of landing an even number (2, 4, or 6).
Combine these probabilities together, and you result in a 4 out of 12 chance of getting the requirements. The 4 comes from adding the chance of getting a 1 and 3 even numbers, and the 12 comes from adding the 2 6's (since two dices would result in 12 sides).
#teamtrees #WAP (Water And Plant)
Solve this problem on paper using all four steps. Enter each answer separated by a comma, in numerical order.
Find four consecutive integers whose sum is 114.
The integers are ______
Answer:
27, 28, 29 and 30Step-by-step explanation:
Let the integers be:
n, n + 1, n + 2 and n + 3Their sum is 114:
n + n + 1 + n + 2 + n + 3 = 114Solving for n:
4n + 6 = 1144n = 108n = 108/4n = 27The numbers are: 27, 28, 29 and 30
1. Write each phrase as a mathematical expression.
Mathematical
Expression
Phrase
1
nine increased by a number
fourteen decreased by a number
seven less than a number
the product of nine and a number
thirty-two divided by a number
five more than twice a number
the product of a number and six
seven divided by twice a number
three times a number decreased by eleven
withdrawing $10 every week from an outstanding
balance of $400
Answer and explanation:
x here represents the unknown number or value
9+x here nine is increased by x the unknown number
14-x fourteen is decreased by x the unknown number or value
x-7 the unknown number is decreased by seven
9*x nine is multiplied by an unknown number
32/x thirty two is divided by an unknown number
2x+5 double an unknown number increased by 5
x*6 unknown number multiplied by 6
7/2x seven divided by double an unknown number
3x-11 thrice an unknown number reduced by 11
400-10x weekly withdrawals of 10 from 400
Can you guys help me with this it’s due in 5 min I need a correct answer.
Answer:
The answer is R=2
Step-by-step explanation:
30=2 times 15
4 Abi is going to buy ingredients to make 65 hot chocolate drinks.
She needs 12 g of chocolate powder and 5 marshmallows to make each drink
Abi can buy
chocolate powder in 250 g jars at £2.99 per jar
marshmallows in bags of 120 marshmallows at £1.45 per bag
Work out the total cost of the chocolate powder and the marshmallows she needs to buy.
Answer:
To make 65 chocolate drinks, she needs:
12 g of chocolate powder and 5 marshmallows per drink.
Then she needs:
12g*65 = 780 grams of chocolate powder.
We know that the chocolate powder comes in jars of 250g, such that each one costs £2.99
If she buys 3 jars, she will have: 3*250g = 750g
So she will not have enough, then she needs to buy 4 jars.
Then in chocolate powder, she will pay 4 times £2.99 = £11.96
And for marshmallows, she needs:
65*5 = 325 in total.
Marshmallows come in bags of 120, then the number of packs that Abi needs to buy is:
325/120 = 2.7
That should be rounded up (because she can not buy a 0.7 of a bag)
Then she needs 3 bags, and each bag costs £1.45
Then the total cost in marshmallows is 3*£1.45 = £4.35
heyo bros i need you're help here.........
Answer:
prime number number that are divisible by itself n 1
=10
How do I Find x, y and z
Answer: to solve the 3 unknown variables X, Y and Z in a set of 3 equations. Each equation has containing the unknown variables X, Y and Z. This 3 equations 3 unknown variables solver computes the output value of the variables X and Y with respect to the input values of X, Y and Z coefficients. In mathematic calculations, there are many situation arises where the usage of equation containing 3 unknown variables need to be solved prior to go further with the calculations. Therefore when it comes to online calculation, this Find the value of X, Y and Z calculator is an essential tool to assist you to find out the variable values given in the equation.
Step-by-step explanation: X = 2
Y = -1
Z = 1
If a 30-year-old male exercises 2 hours per week, what would you
expect his resting heart rate to be?
Answer:
(71) I believe
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
sorry if im wrong
Answer:
Approximately 72 bpm.
Step-by-step explanation:
In order to find the expected heart rate you need to look at the x-axis on the graph. Since the male exercises 2 hours a week, use that value for x and find where x = 2 lies on the line. In this graph, the line goes through x = 2 at the same time it goes through y = 72. Since the y-axis represents the resting heart rate, we now know that if a 30 year-old male exercises for 2 hours a week, his resting heart rate will be around 72 bpm(beats per minute).
I hope this helps :)
A hemispherical bowl is made of brass has an inner diameter 35 cm. What is the inner surface area? URGENT
Answer:
The inner surface area of a hemispherical bowl will be: 1923.25 cm²
Step-by-step explanation:
Given
d = 35 cm
as
[tex]r=\frac{d}{2}[/tex]
[tex]=\frac{35}{2}[/tex]
[tex]= 17.5[/tex] cm
The inner surface area of a hemispherical bowl = 2πr²
[tex]=2\times 3.14\times \left(17.5\right)^2[/tex]
[tex]=6.28\:\times \:17.5^2[/tex]
[tex]=1923.25[/tex]
Hence, the inner surface area of a hemispherical bowl will be: 1923.25 cm²
What is the y-intercept in the graph below?
Answer:
c
Step-by-step explanation:
the y-intercept is 1
Please help work late! System applications please show me your work!
4. The perimeter of a rectangle is 56 centimeters. The length of the rectangle is 2 centimeters more than
the width. Find the dimensions of the rectangle. (Hint: P = 21 + 2w)
I
Answer:
The rectangle has a length of 15 cm and a width of 13 cm
Step-by-step explanation:
Let w represent the width of the rectangle, and let w + 2 represent the length of the rectangle.
Use the perimeter formula, P = 2l + 2w, and plug in the perimeter and w + 2:
P = 2l + 2w
56 = 2(w + 2) + 2w
Simplify and solve for w:
56 = 2w + 4 + 2w
56 = 4w + 4
52 = 4w
13 = w
Then, add 2 to this to find the length:
13 + 2
= 15
So, the rectangle has a length of 15 cm and a width of 13 cm.
Lucy's dog lost 6 pounds. How much weight does her dog need to gain in order to have a net change of 0 pounds?
Answer:
Lucy's dog needs to gain 6 pounds.
Step-by-step explanation:
Lucy's dog lost 6 pounds so the dog will have to gain 6 pounds.
The Dog need to gain 6 pounds for net change of zero pounds.
We have Lucy's whose dog lost 6 pounds.
We have to find out how much weight does her dog need to gain in order to have a net change of 0 pounds.
If you have 'x' toffees and you lost 'y' toffees, then how many toffees you have to buy to recover the lost toffees?Number of toffees left after loosing 'y' toffees = x - y
The number of toffees to buy = x - (x - y) = x - x + y = y
A/Q -
Let the Dog's initial weight be - W
After loosing 6 pounds, the weight will be - W - 6
For a net change of zero pounds, he needs to add = W - (W - 6) = W - W + 6 = 6 Pounds.
Hence, he need to gain 6 pounds for net change of zero pounds.
To solve more questions on estimating net change , visit the link below -
https://brainly.com/question/19955066
#SPJ2
999+6666+8888+66654+66=
Answer:
83273
Step-by-step explanation:
Grayson has 4 small photo albums and 6 large photo albums. Each small album can hold up
to 112 photographs. Each large album can hold up to 184 photographs. How many photos can
Grayson keep in the albums? Enter your answer in the box.
Answer:
1552 Photos
Step-by-step explanation:
I relabeled the albums as SP (Small album) and LA (Large album)
1 la holds 184
1 sp holds 112
112 • 4 = 448
184 • 6 = 1,104
448 + 1,104 = 1552
HELP ME FAST PLZ HELP ME!!!
Answer:
267000 is the answer
Step-by-step explanation:
My teacher needs an estimate, may someone help me?
Рабочий изготовил за 1 час 17 деталей . А его ученик 12 деталей . Сколько деталей они изготовят за 7 часов совместной работы
Answer:
203
Step-by-step explanation:
17*7=119
12*7=84
84+119=203
A
Lleva a cabo las actividades que se presentan a continua-
ción.
1. Con base en la expresión y = 6x + 12, completa la siguiente
tabla y traza su gráfica.
х
-1
2
4
6
8
60
y
6
12
36
Answer:
https://classcalc.com/graphing-calculator/share/fJcbqPoXEobek5Lm6/untitled-calc
Step-by-step explanation:
x y=6x+12
-1 6
0 12
2 24
4 36
6 48
8 60
What is the equation of the line parallel to line l that passes through point (3,3)
Answer:
Step-by-step explanation:
Let the equation if the line be y = mx + c
since the line is parallel to y = (smt-your question isn't complete), their gradients/slope must be the same (aka m = __)
sub (3, 3):
3 = __(3) + c
c = __
therefore, the equation of the line is y = __x + __
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
1. 254+79=
2. 200+50+4+70+9=
A store buys 11 sweaters for $154 and sells them for $363. How much profit does the store make per sweater?
Answer:
they make $19 dollars in profit per sweater
Step-by-step explanation
154/11 is 14. This means that they paid $14 dollars per sweater.
363/11 is 33, meaning that they sold each sweater for $33.
$33 - $14 is $19, thus they made $19 dollars per sweater.
(I could be wrong, though. I tend to make dumb and simple mistakes of simple math, lol)
Answer:
19
Step-by-step explanation:
First Find the difference of the two amounts.
Profit = Sale - Cost
Profit = 363 - 154
Gross Profit = 209
Each sweater sold brings in a profit of 209 / 11 = 19 dollars
Is it b? Am I right? Helppppp question 15
Answer:
A is correct.
Step-by-step explanation:
Since the 39 is the initial value and isn't a coefficient. 15 is a coefficient and represents the slope.
Question 26
y = 1/8x
What is y when x is 37?
ROUND YOUR ANSWER TO THE NEAREST HUNDRETH.
Answer:
y ≈ 4.63
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
y = 1/8x
x = 37
Step 2: Evaluate
Substitute: y = 1/8(37)Multiply: y = 37/8Divide: y = 4.625Round: y ≈ 4.63And we have our final answer!
pls help ill mark brainliest and 25 points
Answer:
The trees.
Step-by-step explanation:
IXL huh? just get it wrong, it doesn't matter. Also read the question more carefully. He's using white for the bushes, so it is going to be lighter
Solve the following absolute value equation in the work space. Be sure to circle
your answer(s).
|3t +3|=18
Answer: so the answer t= 5, -7
3t + 3 = 18
( we subtract 3 from both sides)
3t + 3 = 18
- 3 -3
3t = 15
( then we divide both sides by 3 )
3t/3 = 15/3
t = 5
(and this is the negative part, we do most of the same steps as teh last one)
3t + 3 = -18
- 3 -3
3t = -21
3t/ 3 = -21/ 3
t = -7
hope this helps!!!
Ivanna needs to make a total of 60 deliveries this week. So far she has completed 18 of them. What percentage of her total deliveries has Ivanna completed?
Answer:
30%
Step-by-step explanation:
part/whole 18/60 = 0.3
0.3 * 100 = 30%
what is 7.3 = y + 2.8
Answer:
4.5
Step-by-step explanation:
7.3= y + 2.8
Subtract 2.8 from both sides
7.3 = y+ 2.8
-2.8 -2.8
--------------------
y = 4.5
FACTORIZE
A(X)=(3x-2)^2-(2x-3)^2
Answer:
5(x - 1)(x + 1)
Step-by-step explanation:
A(x) = (3x - 2)² - (2x - 3)² = (3x - 2 + 2x - 3)[3x - 2 - (2x - 3)] = 5(x - 1)(x + 1)
In this figure, DC is parallel to AB. angle DCA is 3x+14, angle ACB is 10x+12, and angle CAB is 5x-2. Find the degrees in angle CBA.
Answer:
Angle CBA = 50 degrees
Step-by-step explanation:
Known Information:
DC is parallel to ABAngles DCA and CAB are equal (they are alternate interior angles)Angles CAB + ACB + CBA = 180°Calculations:
[tex]3x + 14 = 5x - 2[/tex][tex]16 = 2x[/tex] [tex]x = 8[/tex][tex]180 - CAB - ACB = CBA[/tex][tex]180 - [ 5(8) - 2] - [ 10(8) + 12] = CBA[/tex][tex]100- [38] - [92] = CAB[/tex][tex]CBA = 50[/tex]The measure of the angle CBA is 50 degrees if DC is parallel to AB. angle DCA is 3x+14.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have:
DC is parallel to AB. angle DCA is 3x+14, angle ACB is 10x+12, and angle CAB is 5x-2.
The equation can be framed:
3x + 14 = 5x - 2
x = 8
Angle CBA = 180 - (Angle CAB - Angle ACB)
Angle CBA = 180 - [5(8)-2+10(8)+12]
Angle CBA = 180 - [40-2+80+12]
Angle CBA = 180 - [40-2+80+12]
Angle CBA = 50
Thus, the measure of the angle CBA is 50 degrees if DC is parallel to AB. angle DCA is 3x+14.
Learn more about the angle here:
brainly.com/question/7116550
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In the parallelogram below, z = ?°
Answer:
z is 111 degrees
Step-by-step explanation:
69 ° and z is a linear pair, therefore:
69 + z = 180
z = 180 - 69
z= 111