Answer:
x=5
Step-by-step explanation:
so after five months, the costs would equal each other.
Explanation:
You'd have to write equations for the price per month for each club.
Let x equal the number of months of membership, and y equal the total cost. Club A's is y=25x+40 and Club B's is y=30x+15.
Because we know that the prices, y, would be equal, we can set the two equations equal to each other.
25x+40=30x+15.
We can now solve for x by isolating the variable.
25x+25=30x.
25=5x.
5=x
After five months, the total cost would be the same.
Use this information to find the value of b
c = 25
s = 9
b = 4c - s2
Answer:
Step-by-step explanation:
b=4c-s2
4(25)-9(2)
100-18=82
b=82
given f(x) = 4x+1
evaluate f(2)
f(2) = ?
evaluate f(-3)
f(-3)= ?
The value of the functions are:
f(2) = 9
f(2) = -11
Use the concept of fucntion defined as:
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
The given function is,
f(x) = 4x+1
Put x = 2 in the given fucntion,
f(2) = 4(2) + 1
f(2) = 9
Put x = -3 in the given fucntion,
f(2) = 4(-3) + 1
f(2) = -11
Hence, The functions,
f(2) = 9
f(2) = -11
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The ratio of saving to spending is 9:4 how does she spend and how mush does she save
She will spend £250 and save £400.
Ratio is an expression that indicates how many times one quantity is more than the other.
Here, we are given that Miss penny inherits £650.
Her saving to spending ratio is 9 : 4
Thus, the proportion of money she saves is 9/ (4+9) = 9/13
therefore, the amount of money saved will be-
9/13 of 650
= 9/13 * 650
= 9 * 50
= 450
Thus, Miss Penny saves £400.
The remaining amount left with her = 650 - 400 = 250.
Thus, she spends the remaining £250.
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Your question was incomplete. Check for full content below-
Miss penny inherits £650. She decides to save some of the money and spend the rest. The ratio of saving to spending money is 9:4. How much does she save and how much does she spend?
Shirley and Pam, working together, can mow the lawn in 6
6
hours. Working alone, Pam takes three times as long as Shirley. How long does it take Shirley to mow the lawn alone?
Answer:
each takes 3 together 3x3=9
12y + 48 - 4y= 8(y - 6)
The equation
3x-15
= 4x models temperature change, where x represents the difference in degrees in the last 24 hours. Solve for x.
Answer:
15
Step-by-step explanation:
[tex]3x-15=4x \\ \\ x-15=0 \\ \\ x=15[/tex]
2.21x10^3= convert the expression to decimal form
2210
Scientific notation is a way to present extremely large or extremely small numbers in a more understandable way. We are aware that full numbers can go on forever, but we are unable to write such enormous figures on paper. Additionally, a simpler method of representation was required for the numbers that appear at the millions place after the decimal. This makes it challenging to represent a small number of integers in their enlarged form. We therefore employ scientific notations.
Expanding the term,
2.21 x 1000 = 2210
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Whats (500 x 2) divided by 2?
Answer:
500
Step-by-step explanation:
500*2=1000
1000/2=500
Suppose a charity received a donation of $23.3 million. If this represents 58% of the charity's donated funds, what is the total amount of its donated funds? Round your answer to the nearest million dollars.
Step-by-step explanation:
23.3 million = 58%
1% = 58%/58 = 23.3 mil. / 58
100% = 1%×100 = 100×23.3 mil./58 =
= 2,330,000,000/58 = 40,172,413.79... ≈
≈ $40 millions
Kelsey made cupcakes to sell as a fundraiser for her trip to Washington DC.
She purchased one cupcake pan for $12. She calculated that the ingredients
cost her $0.25 per cupcake. She plans to sell the cupcakes for $0.75 each.
a. Write an equation that could be used to find the number of cupcakes
(x) she will need to sell to break even.
b. Solve the equation from part a. Explain how you know
is correct.
c. If she sold 184 cupcakes, what was her profit?
your answer
Answer:
a. 12= 0.50x
b. x=24 because if 0.5 times x is 12 then 12 *2 is x
c. 80$
Step-by-step explanation:
Its above.
How many points are represented in the graph below? Enter a number or 'oo' if there are an infinite number
of points.
There are how many
points on the graph?
Answer:
Infinite
Step-by-step explanation:
The graph is continuous, so it passes through infinitely many points.
f is the function (x)-2x+5.
(a) Find (3)
(6) Express the inverse function f' in the form f'(x)-
g is the function g(x)-²-25.
(c) Find g(-3).
(d) (1) Find gfx)
r'(x)-
Give your answer as simply as possible.
(ii) Solve g(x)-0.
gf(x) -
(1)
8
e
(5)
The given functions can be solved using composition functions.
What is a composition function?Function composition is a mathematical procedure where two functions, f and g, are taken and a function, h = g f, is produced such that h(x) = g(f(x)). The function g is applied in this operation on the outcome of applying the function f to x.
function (x)-2x+5.
(a) f(3) = 2(3) + 5
= 11
(b) f'(x)
y = 2x + 5
y - 5 = 2x
x = y - 5 / 2
f'(x) = x - 5 / 2
g is the function g(x)-²-25.
(c) g(x)-²-25
g(-3) = (-3)² - 25
g(-3) = -16
(d) g(f(x)) = g(2x + 5)² - 25
= 4x² + 25 + 20x - 25
⇒ 4x² + 20x
r'(x) = 2x + 5
(ii) g(x) - 0
⇒ g(x)
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Question:
Given the demand equation p=190/q+10 where 10<0<85, for what value of q is | n | a maximum? For what value is it minimum?
The maximum and minimum value of η at q = 10 and q = 85 respectively.
The demand equation is p = 190/ (q + 10) where 10 < 0 < 85.
η is the elasticity of demand.
Then, the elasticity of demand is given as:
η = ( dq/ dp) × ( p / q )
Now, we have p = 190/ (q + 10)
Therefore,
p ( q + 10 ) = 190
pq + 10p = 190
q = ( 190 - 10p ) / p
Now,
dq / dp = ( d/dp ) ( ( 190 - 10p ) / p )
dq / dp = ( -190/ p² )
Substituting these values in the elasticity demand,
η = ( dq/ dp) × ( p / q )
η = ( -190/ p² ) × ( p / q )
η = ( -190/ pq )
η = ( -190/ [190 / (q + 10 ) ]q )
η = [ - ( q + 10 ) / q ]
| η | = | - ( q + 10 ) / q |
η = ( q + 10 ) / q = 1 + 10/q
The critical point is when | η' | = 0.
η' = ( d / dq ) ( 1 + 10/q )
η' = - 10/ q²
- 10/ q² = 0
Hence, - 10/ q² is not defined.
Therefore, the function is not defined at q = 0.
Therefore, q = 0 is not a solution.
We have 10 ≤ q ≤ 85
The value of functions at the endpoint,
At q = 10,
η = ( 1 + 10/q )
η = ( 1 + 10/10 )
η = 1 + 1 = 2
At q = 85,
η = ( 1 + 10/q )
η = ( 1 + 10/85 )
η = 1.11764
Therefore, the absolute value of the elasticity of demand is maximum at q = 10.
The absolute value of the elasticity of demand is minimum at q = 85.
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Let f(x)=12x+7. Use algebra to find the inverse function f^-1(x).
Step-by-step explanation:
Replace x with y and y with x.
Then, try to isolate the y.
x=12y+7
x-7=12y
(x-7)/12=y
f^-1(x)=(x-7)/12
A taxi ride for the airport to your hotel costs a flat fee of $10 the moment you sit in the back seat plus $0.75 each mile plus a tip of $5 to the driver at the end of the ride. Your hotel is 24 miles from the airport and you have $30 in your pocket. Do you have enough money to make it to your hotel in the taxi, including the tip? Declare what your variable represents, write the equation or inequality that models the situation, solve for the variable showing your steps, and answer the question.
Greetings from Brasil...
We have 2 fixed fees:
→ $10 when you sit on the bench
→ $5 tip
So, fixed fees = $10 + $5 = $15
The rate that varies would be the distance traveled. The fee will be $0.75 per mile moved. In this case we can write that:
C = 0.75M + fees
C = 0.75M + 15let
C = cost
M = mile(s)
for 24 miles, M = 24, then
C = 0.75M + 15
C = 0.75 · 24 + 15
C = 18 + 15
C = $33
With $30 it will not be possible to make this trip, as the total cost would be $33
One solution or alternative would be to reduce the tip amount. Instead of $5, pay only $2 of tip.
We can rewrite the cost expression involving a variable for the tip:
C = 0.75M + T + 10
let T = tip
For the exercise example.... The distance (M) its 24 miles and the value of C has to be what I have in my pocket: 30.... then M=24 and C=30
C = 0.75M + T + 10
30 = 0.75 · 24 + T + 10
30 = 18 + T + 10
30 - 18 - 10 = T
T = 2
Is it possible to do this ride if you pay only $2 tip
find the distance between the two points in simplest radical form. (1,-7) and (7,0)
Step-by-step explanation:
Answer:
The distance between the two given points is equal to √85.
Step-by-step explanation:
Let's recall what the distance formula is:
\displaystyle \huge\math\boxed{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }\math
d= (x 1 −x2 ) 2 +(y 1 −y 2) 2
We are defined our two points as:
(x₁, y₁) → (1, -7)
(x₂, y₂) → (7, 0)
We can rewrite this into our different "variables":
x₁ = 1
y₁ = -7
x₂ = 7
y₂ = 0
Now given our distance formula and our variables, we can find the distance between the two points:
\begin{gathered}\displaystyle\huge\begin{aligned}d & = \sqrt{(1 - 7)^2 + (7 - 0)^2} \\& = \sqrt{(-6)^2 + (7)^2} \\& = \sqrt{36 + 49} \\& = \math\boxed{\sqrt{85}} \\\end{aligned}\end{gathered}
d= (1−7) 2+(7−0) 2= (−6) 2+(7) 2 = 36+49=\math 85
∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.
Hope this helps!
a solid is 5.0cm tall, 3.0cm wide and 2.0cm thick. it has a mass of 387g. What is the density?
Answer: 12.9
Step-by-step explanation:
5 x 3 x 2= 30
5 x 3= 15
15 x 2= 30
D= M/V -> Try to remember the DMV
387 / 30= 12.9
30 x 10= 300
30 x 2= 60
30 x 1= 30
30 x .9= 27
10 + 2 + .9= 12.9
300 + 60 + 27= 387
4x 2x - 2 = 2x
What does “X” equal?
Answer: x=0.5
Step-by-step explanation:
4x+2x - 2 = 2x
6x-2=2x
6x=2x+2
4x=2
x=0.5
A small pizza has an area of
730
730730 square centimeters.
Write an inequality that describes
p
pp, the area of a pizza that is larger than a small pizza.
The inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p
What is inequality?
Inequality refers to the miracle of unstable and/ or unjust distribution of coffers and openings among members of a given society. The term inequality may mean different effects on different people and in different surroundings. The major exemplifications of social inequality include income gap, gender inequality, health care, and social class. In health care, some individuals admit better and further professional care compared to others.
From the information given, we have that;
Area of the small pizza = 730(seven hundred thirty) square centimeters
p = area of the larger pizza
In writing inequality, we have to use the signs
< less than
> greater than
Since p has a greater area, we have
730(seven hundred thirty) < p
Thus, the inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p
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What are the solutions of this quadratic equation?
x² - 6x+2=0
OA.
O B.
OC.
2-3 ± √7
CD. 2-3 ± √11
-6 ± √7
x=3+√7
Prove that for all integers a, b, n, if n = a + b, then a ≤ n/2 or b ≤ n/2 using proof by contradiction.
From the example that if a = 3 and b = 3 so the value of n = 6. It means that a ≤ n/2 and b ≤ n/2.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that all integers a, b, and n, if n = a + b, then a ≤ n/2 or b ≤ n/2. Let the value of a = 3 and b = 3 now the value of n will be:-
n = a + b
n = 3 + 3 = 6
a = 3, n = 6 then a ≤ n/2.
b = 3, n = 6 then b ≤ n/2.
Therefore, the example that if a = 3 and b = 3 so the value of n = 6. It means that a ≤ n/2 and b ≤ n/2.
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Find AB→+BC→+CD→+DE→+EF→
Answer:
34 I plus the word like in number it self
Chika's uncle makes perfect brownies. Chika noted how much sugar he uses based on how many batches
he makes:
Answer:
7.5 batches
Step-by-step explanation:
if he uses 0.6kg of sugar per 2 batches, it's 0.3kg per batch.
2.25kg would let us make
2.25kg / 0.3kg = 2.25 / 0.3 = 7.5 batches
sam had a yard sale. the next day he made a deposit with no cash back. he deposited 28 twenties, 18 tens, 32 fives, 20 ones, 18 quarters and checks for $22, $18.18 and $67.04. what was the amount of his deposit?
The total amount of money Sam deposited is $1,031.72.
Given that, Sam deposited 28 twenties, 18 tens, 32 fives, 20 ones, 18 quarters and checks for $22, $18.18 and $67.04.
We need to find out what was the amount Sam deposited.
What is the sale?Add the rate to the purchase price to determine the discount. Subtract the discount from the original price to arrive at the sale price.
The discounted price at which products or services are being sold is known as a sale price.
Now, total money = 28×20+18×10+32×5+20×1+18×0.25+22+18.18+67.04
=560+180+160+20+4.5+22+18.18+67.04
=1,031.72
Therefore, the total amount of money Sam deposited is $1,031.72.
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A bowl filled with lollipops is 3/4 full. 2/3 of these lollipops are green. What fraction of the full bowl are the green lollipops?
Answer:
1/12
Step-by-step explanation:
All you need to do is subtract 3/4 by 2/3, the difference of those two numbers is 1/12.
QUESTION 4
Which of these is not a very good example of a command economy?
a.)China
b.)Soviet Union
c.)United States during WWII
d.)United States today
(d) the Present United States is not a good example of a command economy.
A command economy is a crucial component of a political system in the economy in which the degree of output that is permitted and the prices that may be paid for goods and services are set by a central governing body. Most industries are owned by the public.
The principal alternative to a command economy is a free market b where supply and demand determine prices and output.
A communist political system includes a command economy, whereas capitalist countries have a free market.
Cuba, North Korea, and the former Soviet Union all have command economies. Up until 1978, when it started to shift to a mixed economy that combines communist and capitalist features, China maintained a command economy. A socialist market economy has been used to characterize its existing setup.
The central government of a country must possess and manage the means of production in a command economy, commonly referred to as a planned economy.
There is no private ownership of land or capital, or it is very restricted. Prices are determined by central planners, who also manage production levels and restrict or forbid competition in the private sector. There is no private sector in a command economy because all companies are owned by or under the supervision of the central government.
Government officials establish national economic priorities in a command economy, such as when and how to promote economic growth, how to share resources, and how to disperse the produce. This frequently takes the shape of a long-term plan.
Hence, the United States today is not a very good example of a command economy.
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Convert the following metric units of length.
100 kilometers to meters
a 100,000 m
b 10,000 m
c 108,076 m
d 109,076 m
The conversion of 100 kilometers to meters would be,
100 kilometers = 100,000 meters
The correct answer is an option (a)
In this question we need to convert the metric units of length.
We need to convert 100 kilometers to meters.
We know that, 1 kilometer = 1000 meters
Let 100 kilometers = p meters
So, we get an expression,
p × 1 = 100 × 1000
From this expression we get,
p = 100,000 meters
This means, 100 kilometers = 100,000 meters
Therefore, the conversion of 100 kilometers to meters would be,
100 kilometers = 100,000 meters
The correct answer is an option (a)
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Chef Smith will be serving a breakfast banquet for 300 guests. Each guest will be served a two-egg
omelet. How many dozen eggs should Chef Smith order?
Answer: 50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
300(2) bcuz 300 guests and each person gets 2
600(12) bcuz 300(2) is 600 and a dozen is 12
=50
Copy and complete the table of values for
y = -2x² + 4x + 9.
What numbers replace A and B?
Answer:
Below in bold.
Step-by-step explanation:
A = value of y when x = -1:
A = -2(-1)^2 + 4(-1) + 9
= -2*1 - 4 + 9
= -2 - 4 + 9
= 3.
B = value of y when x = 2:
B = -2(2)^2 + 4(2) + 9
= -2*4 + 8 + 9
= - 8 + 8 + 9
= 9.
Kubin Company’s relevant range of production is 12,000 to 16,000 units. When it produces and sells 14,000 units, its average costs per unit are as follows:
Average Cost per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Fixed manufacturing overhead $ 5.30
Fixed selling expense $ 3.80
Fixed administrative expense $ 2.80
Sales commissions $ 1.30
Variable administrative expense $ 0.80
Required:
1. Assume the cost object is units of production:
a. What is the total direct manufacturing cost incurred to make 14,000 units?
b. What is the total indirect manufacturing cost incurred to make 14,000 units?
2. Assume the cost object is the Manufacturing Department and that its total output is 14,000 units.
a. How much total manufacturing cost is directly traceable to the Manufacturing Department?
b. How much total manufacturing cost is an indirect cost that cannot be easily traced to the Manufacturing Department?
3. Assume the cost object is the company’s various sales representatives. Furthermore, assume that the company spent $39,200 of its total fixed selling expense on advertising and the remainder of the total fixed selling expense comprised the fixed portion of the company's sales representatives’ compensation.
a. When the company sells 14,000 units, what is the total direct selling expense that can be readily traced to individual sales representatives?
b. When the company sells 14,000 units, what is the total indirect selling expense that cannot be readily traced to individual sales representatives?
Show less
3. Assume the cost object is the company’s various sales representatives. Furthermore, assume that the company spent $39,200 of its total fixed selling expense on advertising and the remainder of the total fixed selling expense comprised the fixed portion of the company's sales representatives’ compensation.
a. When the company sells 14,000 units, what is the total direct selling expense that can be readily traced to individual sales representatives? (Round per unit value to 2 decimal places.)
b. When the company sells 14,000 units, what is the total indirect selling expense that cannot be readily traced to individual sales representatives?
3a. Sales commissions per unit
3a. Number of units sold
3a. Total sales commission $0
3a. Fixed portion of sales representatives’ compensation
3a. Total direct selling expense $0
3b. The total indirect selling expense
1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600.
1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200.
2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600.
2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200.
3a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.
3b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.
4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.
4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.
3a. Sales commissions per unit is $1.30.
3a. The number of units sold is 14,000 units.
3a. Total sales commission is $18,200.
3a. Fixed portion of sales representatives’ compensation is $14,000.
3a. Total direct selling expense is $18,200.
3b. The total indirect selling expense is $14,000.
Data and Calculations:Relevant production range = 12,000 to 16,000 units
Production and sales units = 14,000 units
Average Cost
per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Direct cost per unit $13.40
Fixed manufacturing overhead $ 5.30
Total manufacturing cost per unit $18.70
Fixed selling expense $ 3.80 $53,200 ($3.80 x 14,000)
Fixed administrative expense $ 2.80 $39,200 ($2.80 x 14,000)
Total fixed costs per unit $6.60 $92,400 ($6.60 x 14,000)
Variable selling and admin:
Sales commissions $ 1.30
Variable administrative expense $ 0.80
Total variable selling and admin per unit = $2.10
1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600 ($13.40 x 14,000).
1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200 ($5.30 x 14,000).
2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600 ($13.40 x 14,000).
2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200 ($5.30 x 14,000).
3) Fixed selling expenses = $53,200 ($3.80 x 14,000)
Advertising expenses = $39,200
Sales Compensation = $14,000 ($53,200 - $39,200)
Sales Commission = $18,200 ($1.30 x 14,000)
Total Salespersons' compensation = $32,200
a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.
b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.
4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.
4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.
3a. Sales commissions per unit is $1.30.
3a. The number of units sold is 14,000 units.
3a. Total sales commission is $18,200 (14,000 x $1.30)
3a. Fixed portion of sales representatives’ compensation is $14,000.
3a. Total direct selling expense is $18,200.
3b. The total indirect selling expense is $14,000.
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