Answer:
thats the answer
Tyrone buys a bicycle priced at $86. If the sales tax is 10%, how much tax will Tyrone pay?
Answer:
He will pat $94.60.
Step-by-step explanation:
Since you need to add 10% tax to your total, that is ten cents per dollar, and since you are adding it to the $86, you need to do 86 x 1.10, which is 94.60, and there you have it.
A state tourist guide provides information on summer vacation towns. Some of the towns and related information are
given in the table below.
Average
Number
Town
Beach
Access?
Temp
(°F)
Location
of Hotels
Spring Haven
73.2
12
yes
West
Based on the information given in the table, the discrete quantitative variable would be the number of hotels.
What is a discrete quantitative variable?This refers to a variable in a distribution that can only take on a specific value that is countable.
This means that the number does not go on forever. Examples of these are the number of fingers and toes you have.
The discrete quantitative variable from the options would therefore be the number of hotels that there are.
________________________________________________________
The rest of the question is:
Which of the variables is a discrete quantitative variable?
A:average temperature
B:number of hotels
C:beach access
D:location
________________________________________________________
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The Sea Wharf Restaurant would like to determine the best way to allocate a monthly advertising budget of $5,000.00 between newspaper advertising and radio advertising. Management decided that at least 25% of the budget must be spent on each type of media and that the amount of money spent on local newspaper advertising must be at least twice the amount spent on radio advertising. A marketing consultant developed an index that measures audience exposure per dollar of advertising on a scale from 0 to 100, with higher values implying greater audience exposure. If the value of the index for local newspaper advertising is 40 and the value of the index for spot radio advertising is 70, how should the restaurant allocate its advertising budget to maximize the value of total audience exposure?
(a) Formulate a linear programming model that can be used to determine how the restaurant should allocate its advertising budget in order to maximize the value of total audience exposure. (Assume N is the amount spent on newspaper advertising and R is the amount spent on radio advertising.)
(b) Develop a spreadsheet model and solve the problem using Excel Solver. (Round the Newspaper Dollars Allocated and the Radio Dollars Allocated to the nearest cent. Round the Total Exposure Index to the nearest integer.)
To formulate a linear programming model, let N represent the amount spent on newspaper advertising and R represent the amount spent on radio advertising.
The objective is to maximize the value of total audience exposure, which can be measured using the exposure index. Let's denote this as Z.
The constraints are as follows:
1. The budget constraint: N + R ≤ $5,000.
2. At least 25% of the budget must be spent on each type of media: N ≥ $1,250 and R ≥ $1,250.
3. The amount spent on local newspaper advertising must be at least twice the amount spent on radio advertising: N ≥ 2R.
Therefore, the linear programming model can be written as follows:
Maximize Z = 40N + 70R
Subject to:
N + R ≤ 5000
N ≥ 1250
R ≥ 1250
N ≥ 2R
(b) To solve this problem using Excel Solver, you can set up a spreadsheet model with the following columns: Newspaper Dollars Allocated, Radio Dollars Allocated, Total Exposure Index.
In the Newspaper Dollars Allocated column, input the formula "=N" to represent the amount spent on newspaper advertising. In the Radio Dollars Allocated column, input the formula "=R" to represent the amount spent on radio advertising.
In the Total Exposure Index column, input the formula "=40*N+70*R" to calculate the total exposure index based on the allocated budget.
Use Excel Solver to set up the optimization problem. Set the objective cell as the Total Exposure Index column and set the constraints for the budget, minimum spending, and newspaper-radio ratio.
After running the Solver, it will provide the optimal values for N and R (the amount spent on newspaper and radio advertising, respectively), as well as the maximum value of total audience exposure (rounded to the nearest integer).
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You talk to a friend who lives in a different state.She tells you that today is it 12 degrees below zero where she lives.You tell her it is 54 degrees where you live.What is the difference in temperatures?
Answer: 66
Step-by-step explanation:
0 - 12 = -12
54--12 = 66
66 is the difference
Find a pair of values that make the linear equation 4x – 4y = -32 a true statement by filling in the boxes with a validvalue of x and y.
x= 0 y=8
or
x=1 y=9
Explanationgiven the equation of the line
\(4x-4y=-32\)Step 1
a) isolate y to obtain the slope intercept form
so
\(\begin{gathered} 4x-4y=-32 \\ subtract\text{ 4x in both sides} \\ 4x-4y-4x=-32-4x \\ -4y=-32-4x \\ divide\text{ both sides by -4 and order} \\ \frac{-4y}{-4}=\frac{-32-4x}{-4}=\frac{-32}{-4}-\frac{4x}{-4} \\ y=8+x \\ y=x+8 \end{gathered}\)b) now, we can input values to obtain ordered pairs
hence
i) for x= 0 ( you can choose any value)
replace
\(\begin{gathered} y=x+8 \\ y=0+8 \\ y=8 \\ so,\text{ the pair is x=0 y=8} \end{gathered}\)to prove it, let's replace in the original equation :
\(\begin{gathered} 4x-4y=-32 \\ 4(0)-4(8)=-32 \\ -32=-32\Rightarrow true \end{gathered}\)ii) for x= 1
replace
\(\begin{gathered} y=x+8 \\ y=1+8 \\ y=9 \\ so,\text{ the pair is x=1 y=9} \end{gathered}\)to prove it, let's replace in the original equation :
\(\begin{gathered} 4x-4y=-32 \\ 4(1)-4(9)=-32 \\ 4-36=-32\Rightarrow true \end{gathered}\)so we have 2 solutions, the ordered pairs are
x= 0 y=8
or
x=1 y=9
I hope this helps you
Find the slope of: A(-2,-4), B(2, 4) *
Answer:
2/1
Step-by-step explanation:
Follow the formula: (y2 - y1) / (x2 - x1). So 4-(-4) and 2-(-2). A negative and a negative equal a positive so 8/4. Then simplify. Which gives you 2/1. Hope this helps.
What is the length of a 90 degree arc of a circle with the radius of 11 cm
Quadrilateral ABCD is reflected over the X-axis . What are the coordinates of quadrilateral A’B’C’D ?
Answer:
Option A is the correct answer
Answer:
When My Friend Jumped of a cliff he said AHHHHHHHH so its A
The number of students in a chess club decreased from 24 to 14. What is the percent decrease? Round
your answer to the nearest percent.
Answer:
The original amount: 24
Final amount: 14
Percent of change = amount of change/original amount
Amount of change = greater value-less value = 24-14 = 10
Percent of change = 10/24 = 0.42 = 0.42%
Step-by-step explanation:
Convert 1.19rads to degree
Answer:
68.2 degrees
Step-by-step explanation:
\(1.19\frac{180}{\pi }\)
\(68.2\) degrees
Consider this triangle.
use sin
sin(50) = x/6
sin(50) x 6 = x
x = ~4.5963
what is formed by the interior angle and exterior angle that share a side of the triangle?
A. a complementary angle
B. another angle
C. a linear pair
D. a vertical angle
Answer: C
Step-by-step explanation:
find the value of k for which the vectors [−1−514] and [05−4k] are orthogonal.
Given the two vectors are orthogonal vectors. Then, the value of k is found to be \(k=-\frac{25}{56}\).
When the two vectors are perpendicular or right angle to each other and their dot product value is equal to zero, they are considered orthogonal vectors. Consider two vectors u and v. These two vectors are considered orthogonal when their inner product is zero. That is, \(u\cdot v=u_1v_1+u_2v_2+\cdots+u_nv_n=0.\)
They also have a magnitude of 1. So the three conditions required for the vectors to be orthogonal are:
\(u\cdot v=0\)\(\|{u}\|=0\)\(\|{v}\|=0\)Given the two vectors,
\(\mathbf{x}=\left[\begin{array}{ccc}-1\\-5\\14\end{array}\right]\)
\(\mathbf{y}=\left[\begin{array}{ccc}0\\5\\-4k\end{array}\right]\)
Then, their dot product is given as follows,
\(\begin{aligned}x\cdot y&=0\\(-1\times0)+(-5\times5)+(14\times-4k)&=0\\-25-56k&=0\\-56k&=25\\k&=\frac{-25}{56}\end{aligned}\)
The required answer is \(k=-\frac{25}{56}\).
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The complete question is -
Find the value of k for which the vectors \(\mathbf{x}=\left[\begin{array}{ccc}-1\\-5\\14\end{array}\right]\) and \(\mathbf{y}=\left[\begin{array}{ccc}0\\5\\-4k\end{array}\right]\) are orthogonal.
Would f(x) be the answer for both and how do you graph the g(x) table graph. What I have to solve for is on top in bold. I am asking for number 12
Algerba 1
The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.
We have,
Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.
The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.
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complete question:
Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented
by the thin curve.
1) Describe the
translation of the parent
graph.
2) How does the translation relate to the equation?
What is the first step in isolating the variable x?
X/Y - Z = W; for X
Answer:
X = Y(W + Z)
Step-by-step explanation:
X/Y - Z = W
X/Y = W + Z
X = Y(W + Z)
sheffield corp. unajusted trail balance iunclused the following balance (assume normal balances): accounts recievale 1800000 alllowance for doubtful accounts
The amount of bad debt expense will the company actually record is c)$139500.
So, correct option is c.
We have some details like total account receivable as $1800000
allowance for doubtful accounts as $40,500
Now, we have also percentage of bad debt expense as 10% of accounts receivable.
So,10% of of accounts receivable=(10/100)×1800000=$180000
Now, for getting information of bad debt expense we need to subtract allowance for doubtful accounts.
So, bad debt expense=10% of account receivable - allowance for doubtful debts
=>bad debt expense=$180000-$40500=$139,500
Hence, amount of bad debt expense is $139,500
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(Complete question) is:
Sheffield Corp. unadjusted trial balance includes the following balances (assume the normal balances): Accounts receivable as $1800000. Allowance for doubtful accounts as $40500. Bad debts are estimated to be 10% of the outstanding receivables. What amount of bad debt expense will the company actually record?
a)$137370
b)$182500
c)$139500
d)$177130
1-Pearson Publishing expects to sell $2 million of its new edition of "Foundation of Finance." However, $200,000 of this amount would have been spent on its existing past edition of the textbook. The $2 million is the appropriate cash inflow for the new edition of the book
true or false
2-Companies should use accounting profits, not cash flows, to make capital budgeting decisions.
true or false
(1) The statement that, "The $2 million is appropriate cash-inflow for the new edition of the book" is False because the cash-inflow is $1.8 million.
(2) The statement that, "Companies should use accounting profits, not cash flows, to make capital budgeting decisions" is False because, companies should focus on cash flows.
Part (1) The $2 million is not appropriate "cash-inflow" for "new-edition" of book. The $2 million represents "expected-sales" revenue from the new edition of "Foundation of Finance," but it does not take into account any costs or expenses associated with producing or marketing the book.
It is mentioned that $200,000 would have been spent on existing past edition of textbook. This expense needs to be deducted from expected sales revenue to determine the appropriate cash inflow.
So, appropriate cash-inflow for the new edition would be $2 million minus $200,000, which equals $1.8 million.
So, the statement is False.
Part (2) : Companies should use cash flows, not accounting-profits, to make capital budgeting decisions. Accounting-profits, also known as net income or earnings, are calculated based on accrual accounting principles and include non-cash items such as depreciation and amortization.
When making capital budgeting decisions, it is essential to consider the actual "cash-flows" generated by an investment project. Cash flows represent the cash inflows and outflows that occur over a specific period, and they are crucial for evaluating the feasibility and profitability of an investment.
Therefore, the statement is False.
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Alessia uses her bank card to buy lunch 3 times. Each time she buys lunch, it costs $12.50. She then deposits $30 in her bank account. What is the change in her bank balance in dollars as a result of these transactions?
Answer: She has a $-7.50 balance
Step-by-step explanation: A = 3*12.5
A= 37.5
37.5-30= -7.5
Answer:
Her balance will be $7.50 in the red.
Step-by-step explanation:
expenses: (12.50)*3 = 37.50
funds added: 30
$30 - $37.50 = -$7.50
Mackenzi got 30 questions correct out of a total of 35. To the nearest percent, what was the percentage she
got correct?
3x-6=51 solve for the letter x in the equation
Answer:
x =19
Step-by-step explanation:
that is the correct answer
Answer:
x = 19
Step-by-step explanation:
3x - 6 = 51
3x = 51 + 6
3x = 57
x = 19
^^
Why is it important for scientist to all use the same system (international system)?
Science is a collaborative effort. No one person can do it all by themself. That single person can try, but it's more effective to work together with many teams of people. This is why standards are needed so everyone is on the same page. Sometimes this doesn't always happen such as when someone uses feet vs someone using meters. Yes there are ways to convert back and forth, but it's easier to stick to one system. It avoids potential confusion.
One famous example of this is a mars rover that overshot its target because scientists forgot to convert to meters. Unfortunately the rover crashed and the project had to be scrapped.
HELLO :)) HELP ME WITH THIS PROBLEM:))??
7.5 x (2.6 + 2.4) - 7.5
Answer:
hope this helped!
Answer:
Hello! :) Have a good day!
It will be 30!
reflect (9, -3) across the y-axis. Then reflect the resukt across the x-axis. what are the coordinates to the final point
Answer:
(-9, 3)
Step-by-step explanation:
Reflect over y-axis: (-9, -3)
Then over x-axis: (-9, 3)
How many miles did Rami run in all 3/4 + 7/8 + 5/6 =
Let's add the fractions to determine how many miles Rami run:
\(\begin{gathered} \frac{3}{4}+\frac{7}{8}+\frac{5}{6}=\frac{24+28}{32}+\frac{5}{6} \\ =\frac{52}{32}+\frac{5}{6} \\ =\frac{13}{8}+\frac{5}{6} \\ =\frac{78+40}{48} \\ =\frac{118}{48} \\ =\frac{59}{24} \\ =2\frac{11}{24} \end{gathered}\)Therefore Rami run 2 11/24 miles. (In decimal approximation this is 2.4583 miles)
What is the probability a rolling a 1, 2 or 3 on a number cube on your first roll, then a 5 or 6 the second roll?
% (answer as a percent round to the nearest whole percent)
The probability of rolling dice twice
What is Probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Total no. of outcomes = 6
The probability of getting a 1,2 or 3 from the first rolling is 3/6.
The probability of getting a 5 or 6 from second rolling is 2/6
As the two rollings are independent,
you can just multiply two probability values to come up with a final answer.
Which is,
= (3/6) x (2/6)
= (1/2) x (1/3)
= (1/6)
The probability a rolling a 1, 2 or 3 on a number cube on your first roll, then a 5 or 6 the second roll is 1/6 or 0.16
Probability in % will be
0.16 x 100/100
= 16%
Hence, The probability a rolling a 1, 2 or 3 on a number cube on your first roll, then a 5 or 6 the second roll is 16%
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Say that you see a consumer loan at 15% and you know that this lender borrows at 10%. What probability of repayment is this loan company expecting?
Determining the probability of repayment is not solely determined by the interest rate spread, but also relies on factors such as borrower creditworthiness, loan terms, and the lender's risk assessment methods.
To determine the loan company's expected probability of repayment, we can analyze the interest rate spread between what they charge (15%) and what they borrow at (10%).
The interest rate spread represents the lender's profit margin and accounts for various factors such as default risk, operating costs, and desired return on investment.
In this case, with an interest rate spread of 5% (15% - 10%), the loan company expects to cover its costs and generate profit by lending money to consumers. The wider the interest rate spread, the greater the lender's expected profit.
However, the exact probability of repayment cannot be determined solely based on the interest rate spread. It also depends on other factors like the creditworthiness of borrowers, loan terms, and risk assessment methods employed by the lender.
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Huixian needs to pack 171 pens 63 pencils and 27 erasers find the number of each item in a gift bag
Answer:
19 pens, 7 pencils, 3 erasers
Step-by-step explanation:
Huxian needs to pack 171 pens
63 pencils
27 erasers
Hence the items can be divided in 9 bags
171/9
= 19
63/9
= 7
27/9
= 3
They can be packed in each bags as follows
19 pens
7 pencils
3 erasers
Solve the following system using elimination
2 x − 3 y = −2
9 x − 10 y = 12
Answer:
x-y=-6
Step-by-step explanation:
hope this helps and I hope you have a good day
Help please Anyone please help ill give brainlyest if u help with answers please help me anyone help please
Use pythogorean theorem xd
answer 1) sqrt((15.25)^2-(2.75)^2)
etc. and so on
Answer:
1. 15
2. 47.8
3. 5√185
4. 34
Step-by-step explanation: