Answer:
ΔP = 14
Step-by-step explanation:
Given
[tex]C(x) = 200 + 2x[/tex]
[tex]R(x) = 20x - \frac{x^2}{50}[/tex]
Required
Determine the change in profit
First, we need to determine the profit
[tex]P(x) = R(x) - C(x)[/tex]
[tex]P(x) = 20x - \frac{x^2}{50} - 200 - 2x[/tex]
Collect Like Terms
[tex]P(x) = - \frac{x^2}{50} + 20x - 2x- 200[/tex]
[tex]P(x) = - \frac{x^2}{50} + 18x- 200[/tex]
Differentiate wrt x
[tex]P'(x) = -\frac{x}{25} + 18[/tex]
When Profit increases from 100 to 101, the change becomes
ΔP [tex]= -\frac{x}{25} + 18[/tex]Δx
Δx[tex]= (x_2 - x_1)[/tex]
Where
[tex]x_2 = 101[/tex]
[tex]x_1 = x = 100[/tex]
So, the expression: ΔP [tex]= -\frac{x}{25} + 18[/tex]Δx becomes
ΔP [tex]= (-\frac{x}{25} + 18)(x_2 - x_1)[/tex]
ΔP [tex]= (-\frac{100}{25} + 18)(101 - 100)[/tex]
ΔP [tex]= (-4+ 18)(1)[/tex]
ΔP [tex]= (14)(1)[/tex]
ΔP = 14
PLEASE HELP!!!!
Drag each tile to the correct box.
Match each savings plan to its description.
401(k)
Roth IRA
403(b)
529 plan
health FSA
a tax-deferred retirement savings plan available to employees of some nonprofit
organizations and educational Institutions
a tax-advantaged college savings plan
an employer-offered retirement account that accepts contributions from
employees and employers
a tax-advantaged savings account available through employers to pay for
qualified medical expenses
a retirement Investment account managed by individuals, deposits are taxable,
but funds are tax exempt when withdrawn at retirement
Answer:
403(b)
529 plan
401(k)
health FSA
Roth IRA
Step-by-step explanation:
I looked it up. Good luck :)
Answer:
401(b)
529 plan
401(k)
health FSA
Roth IRA
Step-by-step explanation:
4.8(x-1.75)= -9.6 but without the distributive property
bernie spends three hours a day on homework. if the spends 3/4 of an hour on science, 3/4 of an hour on social studies, and 1/4 of an hour on english, how much time does bernie spend on math
Answer:
Step-by-step explanation:
Math = 3 - Science - social studies - english
Math = 3 - 3/4 - 3/4 - 1/4
Math = 3 - 1 3/4
Math = 3 - 1.75
Math = 1.25 or 1 1/4
is |-4| equal to |4|?
Answer:
Yes
Step-by-step explanation:
Absolute value measures the distance between the number and 0. The distance between -4 and 0 is 4, and the distance between 0 and 4 is 4. Therefore, they are equal.
Answer:
yes
Step-by-step explanation:
the l l symbol is the absolute value symbol, it counts how far the number is from zero meaning that the outcome is always positive.
Alice drops a rubber ball from a height of 4 feet. The equation t2=4/16 represents the amount of time, in seconds, it takes for the ball to reach the ground. How long will it take the ball to reach the ground?
A 1/4 second
B 1/2 second
C 2 seconds
D 4 seconds
Answer:
Letter B
Step-by-step explanation:
Answer:
I belive the answer is B
Step-by-step explanation:
Walt multiples 25 times 16 using partial products what did walt do wrong
Answer:
first what the full question and if 25*16/2=200
Step-by-step explanation:
What fraction is equivalent to 0.1666666...
Answer:
1/6
Step-by-step explanation:
The value of the fraction that is equal to the number 0.16666... would be 5/30.
Given that,
Change the number 0.16666... into a fraction.
Used the concept of fraction which stated that,
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.
Let us assume that the number 0.1666.. equal to x.
Hence,
x = 0.166666 ..... .. (i)
Multiply by 10 on both sides,
10x = 1.66666... (ii)
Also, multiply by 100 in equation (i),
100x = 16.6666.. (iii)
Subtract equation (ii) from (ii),
100x - 10x = 15
90x = 15
x = 15/90
Simplify for the simplest form,
x = 5/30
Therefore, the value of the fraction is 5/30.
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Question 4
5 pts
4. Cassie has 45 marbles. Abdul has m If Cassie has 9 times as many
marbles as Abdul. Choose the equation that correctly represents the
number of marbles Abdul has.
O 9 x m = 45
O 45 - 9 = m
O C. 9+ m = 45
O D. 9 x 45 = m
Answer:
8 x m = 45
Step-by-step explanation:
cassie has 9 times which means multiplcation so its the first one
Please help!!!- Find the measure of the angle in bold.
Need help to figure out to solve this.
Answer:
11x-6+(19x+6)=180°
11x+19x-6+6=180°
30x=180
x=180/30
x=6
it means that
19x+6=19*6+6=114+6=120°
The following table shows the annual profits for two small florist shops what shop had the greater total profit? How much greater was its profit?
Plz answer ASAP I will mark u brainlyest this is my 5th time asking please answer
Answer:
Shop A & $400
Step-by-step explanation:
-4.7 + 27.5 + 122.3 = $145.1 (Shop A)
-0. 2 + 14.5 + 130.4 = $144.7 (Shop B)
Difference = 145.1 - 144.7 = $0.4
0.4 × 1000 = $400
what number is 1/10 of 8000000
Answer:
800000
Step-by-step explanation:
In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third is 92° more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle.
The measure of the first angle is ______
The measure of the second angle is _____
The measure of the third angle is _______
Answer:
The measure of first angle is 44°.
The measure of second angle is 22°.
The measure of third angle is 114°.
Step-by-step explanation:
First, you have to form expressions for the 3 angles. Let second angle be x :
First angle = (2x)°
Second angle = x°
Third angle = (92 + x)°
Next, you have to add up altogether as the total angles in a triangle is 180° :
2x + x + 92 + x = 180
4x + 92 = 180
4x = 180 - 92
4x = 88
x = 88 ÷ 4
x = 22°
Lastly, you have to substitute the x-value into the expressions :
First angle = 2(22) = 44°
Second angle = 22°
Third angle = 92 + 22 = 114°
Solve for f:
f divided by -2/3 = -1/3
Answer:
2/9
Step-by-step explanation:
A river has a current of 2km per hour. Find the rate of Fred’s boat in still water if it travels 30 km downstream and the same time it takes to travel 14 km upstream.
Answer:
32km
Step-by-step explanation:
1. Describe how to show that triangle PMO = triangle PMN using the SSS Congruence Postulate. Then, without using a protractor, find a way to show that the triangles are congruent using the SAS Congruence Postulate.
Answer:
ayudenle porfa :)
Step-by-step explanation:
porfa
Write all prime numbers between 10 and 20
Answer:
11,13,17,19
Step-by-step explanation:
Answer:
11 , 13 , 17 and 19
Step-by-step explanation:
good luck :)
Give a counterexample that disproves each conjecture below.
1) No triangles have two sides of the same length.
2) No women have been elected U.S. senators.
3) All~basketball players are more than 6 feet tall.
4) If you live in Texas, then youlive in Houston.
5} If it is a cell phone, then it has a touch screen.
6) If x is any number, then x2> 2.
8) If x >_ 0, then x + 2 = 7.
9) If x2 =16 , then x = 4.
10) All figures with four sides of equal length are squares.
11) The square of a number rs largex than the number.
12) If a numbex is prime, then it zs an. odd number.
Answer:
1) No triangles have two sides of the same length.
An isosceles triangle is a triangle that has 2 sides that have a same length.2) No women have been elected U.S. senators.
Dianne Feinstein, a woman-elected senator of California.3) All basketball players are more than 6 feet tall.
Isaiah Thomas is a prime example of a basketball player who has the height of 5'9.4) If you live in Texas, then you live in Houston.
Matthew McConaughey, a born-and-raised Texan star lives in Austin near his mom and other family members.5) If it is a cell phone, then it has a touch screen.
Before smart phones, there were flip phones where the user would have to dial everything to able to use it.6) If x is any number, then x2> 2.
Not sure what you meant.8) If x >_ 0, then x + 2 = 7.
Not sure what you meant.9) If x2 =16 , then x = 4.
Not sure what you meant.10) All figures with four sides of equal length are squares.
Rectangles have longer sides equal in length and their shorter sides equal in length with each other, but is not considered a square.11) The square of a number rs largex than the number.
Not sure what you meant.12) If a number x is prime, then it zs an. odd number.
Not sure what you meantHoped this help!
You should rephrase some of your questions because I have no idea what it's saying.
-Bob Ross
what is -1(9)
Ignore theses it said it was too short
what is 78756567.998 divided by 76454
Answer:
1,030.11703766971
Step-by-step explanation:
Just use a calculator (windows + r and then type calc if your on windows or search up calculator)
The formula to put in E176 that will give me the sum of all the units sold by the indicated sales rep and product is:
Question attached
Answer :
There is no such formular
Explanation:
there is no such Formula I'm the options given. However the total product units sold by the sales representative for the period can be calculated in the excel sheet by adding up the cells with the units sold(cells F179,F180... to F186) and inserting the formula in the cell under total units sold by sales representative. So any change of figures in the cells added would reflect in the total units cell E176, if there is an additional figure for units sold in another cell, we could add this cell to formula in E176
Ik y’all good at math, help me out yall!
Answer:
i think the answer be 150 feet per minute
hope this is right
Answer:
150
Step-by-step explanation:
use points on the line i'll use (2,300) and (1,150)
m=y2-y1/x2-x1
300-150=150
2-1=1
150/1=150
hope this helps :3
sorry if im wrong
- 8n - 8 = -72
I don’t know how to do this
Answer:
n=8
Step-by-step explanation:
Add 8 to both sides of the equals sign, then bring down -8n, add -72+8, You'll get -64, lastly you divide -64 and -8, and you'll get your answer
On Joe's bookshelf are: • 8 fiction books 3 non-fiction books • 4 historical drama books Joe will randomly choose 1 book to read from the shelf. What is the probability that he will choose a non-fiction book? A)0.267 B)0.8 C)0.2 D)0.533
Answer:
There is a 0.2 chance or 20% change that he will choose a nonfiction book. PLease mark as helpful if it is! thanks
What is the ratio of daises to all the flowers in the vase?
Answer: Do you have the original ration so we can simplify it then??
Step-by-step explanation:
HELP ME PLEASE 9 3/5 + 8 3/5
Answer:
18 1/5
Step-by-step explanation:
9 3/5 + 8 3/5
We have a common denominator, so add the whole numbers
9+8 = 17
Add the fractions
3/5+ 3/5 = 6/5
17 6/5
We can simplify since we have an improper fraction
17 + 5/5 + 1/5
17+1+1/5
18 1/5
Answer:
18 1/5
Step-by-step explanation:
9 3/5 + 8 3/5=
First we do 9+8 which is 17
3/5+3/5= 6/5
17 6/5
Simplify:
18 1/5
−20=−4x−6x Find the value of x
Answer:
[tex]\huge\boxed{x=2}[/tex]
Step-by-step explanation:
[tex]-20=-4x-6x\qquad|\text{combine like terms}\\\\-20=-10x\qquad|\text{divide both sides by (-10)}\\\\\dfrac{-20}{-10}=\dfrac{-10x}{-10}\\\\2=x\to x=2[/tex]
Find the LCD of the given rational equation:
Answer:
The correct answer is: D
Step-by-step explanation:
Consider the domain, which in this case x cannot be equal to -4 and -2.
The LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)
How to determine the LCD?The rational equation is given as:
[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{x^2 + 2x - 8}[/tex]
Factorize the denominator of the fraction on the right hand side
[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{(x - 2)(x + 4)}[/tex]
Write out the common factors in the denominator
LCD = (x + 4)(x + 2)(x - 2)
Hence, the LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)
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What are the scale factor of ABC dilated to XYZ plz help
====================================
Explanation:
The order is important for ABC and XYZ so we can see what letters pair up.
A pairs with X since they are the first lettersB pairs with Y since they are the second lettersC pairs with Z since they are the third lettersBased on that, we can see that AB pairs with XY as they are the first two letters of ABC and XYZ respectively.
Divide the length XY over AB and reduce
XY/AB = 10/15 = 2/3
We could also divide XZ over AC
XZ/AC = 14/21 = 2/3
and we get the same ratio
|
1.64 divided by what equals 0.04?
Answer:
41Step-by-step explanation:
1.64 : x = 0.04 ⇒ x = 1.64 : 0.04
1.64 : 0.04 → 164 : 4 = 41
Check:
1.64 : 41 = 0.04
1.64 divided by the number 41 equals 0.04.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
The given numbers are 1.64 and 0.04.
Let the unknown number be x.
1.64 divided by x equals 0.04, that is
1.64/x =0.04
0.04x=1.64
x=1.64/0.04
x=41
Therefore, 1.64 divided by 41 equals 0.04.
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An experiment consists of determining the speed of automobiles on a highway using a radar equipment. The random variable in this experiment is a:
Answer:
the speed value that the radar equipment outputs.
Step-by-step explanation:
A random variable in an experiment is also (and most times the case) called a dependent variable. In this scenario, the random variable would be the speed value that the radar equipment outputs. This is because this value depends on the actual velocity of the cars that pass by the equipment. The faster the car is moving when it passes the radar the higher value will be displayed on the equipment. Therefore, depending completely on the vehicles.