Answer:
15%
Step-by-step explanation:
markup = 16100 - 14000 = 2100
percent markup = 2100/14000 × 199% = 15%
Answer: The percent markup is 15%.
True or false ? Not all consumers act according to the classical definition of a rational consumer
Answer:
this statement is true .............
Find the length of the midsegment of each trapezoid.
W
P
17.5
A) 12.7
C) 13.1
?
V 6.1
U
Q
T
B) 8.2
D) 11.8
Find the value of the pronumerals in each pair of similar triangles.
So on solving the provided question we can say that here in both triangles are similar, y = 10; x = 12
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here in both triangles are similar,
y = 10
x = 12
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what is the angle with tangent 1.125
Answer:
You can find the value of the tangent of any angle on a unit circle. Just draw a vertical line from the x-axis at either zero or pi until it intersects what is the extension of the radius through the angle. The length of that vertical line is the value of the tangent at the angle in question.
Step-by-step explanation:
In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).
Helpful Tip!:)
N·58+ (4 x 12-40) to the power of 2
GEMDAS
The final answer is N * 58 + 64.
What is the PEMDAS?
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction (from left to right).
The order of operations (PEMDAS) tells us to perform the following steps:
Parentheses: (4 x 12 - 40) to the power of 2 = (-8)^2 = 64
Exponents: N * 58 + 64
Multiplication and Division: from left to right
Addition and Subtraction: from left to right
Hence, the final answer is N * 58 + 64, since we do not know the value of N we can't solve it.
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Mr. Haque is 21 years old. He is 3 times as old as Ms. Nahar. Write and solve an equation to determine Ms. Nahar's age,a.
Answer:
Ms. Nahar is 7 years old.
Step-by-step explanation:
21/7 =3
Answer:
She is 7 years old if he is 21
Step-by-step explanation:
21/3
Meryl pays £400 into her sister's South African bank account. How much ister receive if the current exchange
Answer:
8232 South African Rand
Step-by-step explanation:
The question cuts off at "if the current exchange" so the exchange rate is not specified. At the time of writing this answer, the echnage rate from one sterling pound to South African Rand is 1=20.58. So, we just need to multiply 20.58*400 to get 8232.
A study shows that 80% of the population of a city have brown eyes and 20% do not. The study also shows that 30% of the people who do not have brown eyes do not have brown hair, while 90% of the people who have brown eyes have brown hair. A relative frequency table was constructed for this data. What is the largest marginal relative frequency and its interpretation?
0.72; Individuals with brown eyes
0.80; Individuals with brown eyes
0.86; Individuals with brown hair
0.90; Individuals with brown hair
Answer: I believe the answer is A; 0.72
Answer: The largest marginal relative frequency is 0.90 and it represents the probability of an individual having brown hair given that they have brown eyes.
Step-by-step explanation:
The reason why 0.90 represents the probability of an individual having brown hair given that they have brown eyes is because the study shows that 90% of the people who have brown eyes also have brown hair. This is a conditional probability, which means that it is the probability of one event happening given that another event has already happened. In this case, the event of having brown hair is conditional on the event of having brown eyes. The probability of 0.90 is calculated by taking the total number of individuals with brown eyes and brown hair and dividing it by the total number of individuals with brown eyes. The number is large because 90% of the individuals with brown eyes have brown hair, it is the largest because it is the highest probability among the other marginal relative frequencies. This indicates that the majority of people with brown eyes also have brown hair
Question Let f(x)=4x. Let g(x)=4x+2. Which statement describes the graph of g(x) with respect to the graph of f(x)? Responses g(x) is translated 2 units down from f(x). g open argument x close argument, is translated 2 units down from , f open argument x close argument, . g(x) is translated 2 units left from f(x). g open argument x close argument, is translated 2 units left from , f open argument x close argument, . g(x) is translated 2 units right from f(x). g open argument x close argument, is translated 2 units right from , f open argument x close argument, . g(x) is translated 2 units up from f(x).
Answer:
g(x) is translated 2 units up from f(x).
Step-by-step explanation:
f(x) = 4x
g(x) = 4x+2
g(x) = f(x) + d where d is an upwards translation from f(x)
Adding 2 is a vertical translation up 2 units
Chau used 6 rolls of blue fabric to make costumes for the annual school play. He used the total length of 14.4yd of fabric. If each roll had the same length of fabric, how much fabric was in each roll? Write your answer in inches.
Answer: Each roll of fabric had 86.4 inches of fabric.
Step-by-step explanation:
Each roll of fabric used in the annual school play had a length of 14.4yd / 6 rolls = 2.4 yards of fabric.
1 yard = 36 inches
so, 2.4 yards = 2.4 x 36 inches = 86.4 inches
Each roll of fabric had 86.4 inches of fabric.
Explanation: The problem states that Chau used 6 rolls of blue fabric, and the total length of fabric used was 14.4 yards. Dividing the total length of fabric by the number of rolls gives the length of each roll, which is 2.4 yards or 86.4 inches.
Which is equal to sin31°?
Answer: 0.515
Step-by-step explanation:
Since our angle is between 0 and 90 degrees, it is located in Quadrant I
In the first quadrant, the values for sin, cos and tan are positive.
Since 31° is less than 90, we can express this in terms of a cofunction
sin(θ) = cos(90 - θ)
sin(31) = cos(90 - 31)
sin(31) = cos(59)
hope this helps!
The value of sin 31° is 0.51504.
Sin 31 degrees is the value of the sine trigonometric function for an angle equal to 31 degrees.
The sin of 31 degrees is 0.51504, but the sin of 31 degrees can also be expressed in radians. To obtain 31 degrees in radian multiply 31° by π/ 180° = 31/180π. Sin 31degrees = sin (31/180 ×π)
The results of sin31° are rounded to five decimal places.
The following are identities of sine 31° :
sin31°
= cos (90°-31°) = cos 59°
= sin (180°-31°) = sin 149°
-sin31°
= cos (90°+31°) = cos 121°
= sin (180°+31°) = sin 211°
Therefore, The value of sin 31° is 0.51504.
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The average cost of making rx televisions per week is
C(x) = x² - 40x+500 dollars per television.
a How many televisions should be made per week to
minimise the average cost?
b
<
Find the minimum average cost.
How many televisions are made per week if the average
cost is $200 per television?
Answer:
Step-by-step explanation:
a. To minimize the average cost, we need to find the value of x that minimizes the cost function C(x) = x² - 40x + 500.
This is the same as finding the minimum value of the parabola represented by the function. The vertex of the parabola is the point at which the parabola reaches its minimum or maximum value. The vertex form of a parabola is given by C(x) = a(x - h)² + k, where (h, k) is the vertex.
By comparing the given function with the vertex form of a parabola, we can find the vertex:
C(x) = x² - 40x + 500
= a(x - h)² + k
= (x - h)² + k
The x-coordinate of the vertex h = 40/2 = 20
So the minimum average cost occurs when 20 televisions are made per week.
b. To find the minimum average cost, we need to substitute the value of x = 20 into the cost function:
C(x) = x² - 40x + 500
= 20² - 40*20 + 500
= 400 - 800 + 500
= 100
So the minimum average cost is $100 per television.
If the average cost is $200 per television, we can set C(x) = 200 and solve for x:
200 = x² - 40x + 500
0 = x² - 40x + 300
This is a quadratic equation that can be solved by factoring or by using the quadratic formula.
we can factor it as
0 = (x-50)(x-6)
x = 50 or x = 6
The number of televisions made per week if the average cost is $200 per television is 50 or 6. Since 50 is much higher than 20, the minimum average cost, it is not physically possible to make 50 televisions with the average cost of $200 per television. So the answer is 6 televisions per week.
(Look at picture) thanks! <3
Answer:
The annual passenger revenue of the rail transport corporation was $930 million when:
R = 930
-20|t-15| + 1,010 = 930
-20|t-15| = 80
|t-15| = 4
So, we can see that t-15 = 4 and t-15 = -4 both lead to an annual revenue of $930 million dollars.
To find the values of t, we add 15 to both sides of the equation:
t-15 = 4 => t = 19
t-15 = -4 => t = 11
So, the years where the passenger revenue was $930 million are:
2011
2019
Which of the following inequalities is modeled by the graph? (5 points)
Ox + 4y = 15; y ≥ 0
Ox - 4y ≥ 15; y ≥ 0
Ox+4y ≤ 15; y ≥ 0
O-x - 4y ≥ 15; y ≥ 0
The system of inequalties on the graph is:
x + 4y ≤ 15
y ≥ 0
Which system of inequalities is modeled by the graph?First, we can see a solid line at y = 0 and we have the region above that line shaded, so one of the inequalities is:
y ≥ 0.
The other inequality is a solid line with a negative slope and the shaded region is below the line.
The only option that has these characteristics is:
x + 4y ≤ 15
4y ≤ - x + 15
y ≤ (-1/4)x + 15/4
Then the system of inequalities is:
x + 4y ≤ 15
y ≥ 0
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Required information
[The following information applies to the questions displayed below.]
The following financial statement information is from five separate companies.
Company C
$ 20,480
11,059
Beginning of year
Assets
Liabilities
End of year
Assets
Liabilities
Changes during the year
Stock issuances
Net income (loss)
Cash dividends
Company A
$ 32,000
26,240
37,000
6,000
8,390
3,500
Company B
$ 24,960
17,472
26,640
18,115
1,400
?
2,000
?
12,147
9,750
5,400
5,875
2a. What is the amount of equity at the beginning of the year for Company B?
2b. What is the amount of equity at the end of the year for Company B?
2c. Compute the net income of the year for Company B.
Complete this question by entering your answers in the tabs below.
Company D
$ 56,960
39,302
Answer is complete but not entirely correct.
67,340
32,323
?
10,359
0
Company E
$ 87,360
?
102, 120
80,674
6,500
8,474
11,000
Answer:
this is very big question and the answer I think so is 11474
(30 POINTS) A newly hired lawyer receives a $15,000 signing bonus from a law firm and invests the money in a savings account at 4.75% interest. After 42 months, the lawyer checks the account balance.
Part A: Calculate the interest earned, to the nearest dollar, if the interest is compounded quarterly. Show all work. (2 points)
Part B: Calculate the interest earned, to the nearest dollar, if the interest is compounded continuously. Show all work. (2 points)
Part C: Using the values from Part A and Part B, compare the interest earned for each account by finding the difference in the amount of interest earned. (1 point)
Select all the correct answers.
Which functions are the same as their inverse functions?
0
○
O
f(x) = x-1 x = -5
x+59
g(x) = x= 1, x ‡ 1
x−
Oh(x) =
x+3
x-2, x2
x+1
k(x) = ² ±¹, x ‡ 1
Answer:
Hi!
0 is basically inverse 0
any integer Inverse change the function
In 10 tosses of seven coins, the numbers of heads were 2, 6, 2, 2, 5, 3, 5, 3, 3, 4. If the observations are denoted by Y1, Y2, Yn:
a. What is the value of n?
b. What is the value of Y2?
c. What is the value of Y7?
d. For what values of i does Y = 2? 3? 4?
e. Distinguish between Yi-1 and Yi – 1.
f. What do Yi-1 and Yi – 1 equal for i = 2?
g. Write the observations as a vector.
Answer: a. The value of n is 10, as there are 10 tosses of seven coins.
b. The value of Y2 is 6, as the number of heads in the second toss is 6.
c. The value of Y7 is 3, as the number of heads in the seventh toss is 3.
d. For i = 1, 2, 3, 4, the value of Y is 2. For i = 5, 8, the value of Y is 3. For i = 6, 9, 10, the value of Y is 4.
e. Yi-1 refers to the observation made in the previous toss (i-1), whereas Yi – 1 refers to the observation made in the current toss (i) minus 1.
f. Yi-1 = Y1 = 2 and Yi – 1 = Y2 – 1 = 6 – 1 = 5 for i = 2
g. The observations can be written as a vector Y = (2, 6, 2, 2, 5, 3, 5, 3, 3, 4)
Step-by-step explanation:
Look at the picture
the photo is not loading ok this is your photo open this and see now that address now because you are so
Which table of ordered pairs represents the equation of the graph?
3x−2y=12
The table that represents the equation and the graph is
(-1, 7.5). (1, 4.5), (3, -1.5), and (5, 1.5)
How to find the table that represents the equationThis can be found by tracing the points on the graph or substituting into the equation
The equation is 3x − 2y = 12, rearranging will result to 1.5x - 6 = y
substituting the values of x into y = 1.5x - 6
for x = -1, y = 1.5 * -1 - 6 = -7.5
for x = 1, y = 1.5 * 1 - 6 = -4.5
for x = 3, y = 1.5 * 3 - 6 = -1.5
for x = 5, y = 1.5 * 5 - 6 = 1.5
Hence the third option while counting from top id the correct option
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The ordered pairs for the equation 3x - 2y = 12 is (-1, -7.5), (1, -4.5), (3, -1.5) and (5, 1.5)
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
The slope intercept form of a linear equation is:
y = mx + b
Where m is the slope (rate of change) and b is the y intercept.
Given the equation:
3x - 2y = 12
2y = 3x - 12
y = (3/2)x - 6
When x = -1; y = (3/2)(-1) - 6 = -7.5
When x = 1; y = (3/2)(1) - 6 = -4.5
When x = 3; y = (3/2)(3) - 6 = -1.5
When x = 5; y = (3/2)(5) - 6 = 1.5
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Note: 333 HRDs were invited to complete the survey,
one per organisation. 45% of invitees actually
completed the survey.
Healthcare
Consu
Information a
Communication
Infra
EnerBy
Basica
Inggers
0%
10%
20%
30%
If 30 more HRDS responded to the survey,
which of the following is the best estimate of
the number of people employed by the 30
organisations these HRDS represent?
Answer:
Step-by-step explanation:
Assuming that the same ratio of invitees to respondents holds true for the 30 additional HRDs, the best estimate of the number of people employed by the 30 organisations is 67.5 (30/45*100). This means that the total number of people employed by the 363 organisations represented by the 333 invited HRDs and the 30 additional HRDs is 5,475 (5,407.5 + 67.5).
domain and range of
y = 1/2x - 1
The domain and range of the function y = 1/2 - 1 lies on (-∞, ∞)
What is Domain and Range of FunctionThe collection of all input values (sometimes referred to as independent variables) for which a function is defined and yields a valid output is known as the domain of the function. It is the collection of all possible values that can be entered into a function.
All real numbers, for instance, fall inside the domain of the function f(x) = x², since any real number may be squared to yield an accurate result.
On the other hand, a function's range is the collection of all feasible output values (also known as the function's dependent variable) that it can generate. It is the collection of all outcomes that the function is capable of producing.
For instance, since squaring real numbers makes the range of the function f(x) = x² all non-negative values.
It's vital to remember that not all functions have the same range or are defined for all conceivable input values. For instance, because the square root function x is not defined for negative numbers, all real numbers that are not negative fall within its domain.
In conclusion, the collection of all input values for which a function is defined and yields a valid output is known as the domain of the function. The collection of all potential output values that a function may produce is known as its range.
In the given function;
y = 1/2x - 1
The domain of this function is (-∞, ∞)
The range of the function f(x) = 1/2x - 1 is (-∞, ∞)
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Jada told Noah that she has $4.20 worth of quarters and nickels in her pocket and 20 coins all together. Figure out how many of each type of coin she has.
Answer: We can set up a system of equations to solve this problem. Let x be the number of quarters and y be the number of nickels. We know that:
x + y = 20 (the total number of coins)
0.25x + 0.05y = 4.20 (the total value of the coins in dollars)
We can use the first equation to solve for one variable in terms of the other, and then substitute that into the second equation to get a single equation with one variable.
For example:
x = 20 - y
0.25(20-y) + 0.05y = 4.20
5-0.25y + 0.05y = 4.20
5= 4.20
y = 20 - 5
y = 15
x = 20 - 15
x = 5
So Jada has 5 quarters and 15 nickels in her pocket.
Step-by-step explanation:
24 can be written as 24=2a
×3. What is the value of a
I hope this helped you
Answer:
a = 3
Step-by-step explanation:
24 x 2ªx 3
8= 2ª
a= 3
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{24 = 2a \times 3}\\\mathsf{\rightarrow 2a \times 3 = 24}\\\mathsf{\rightarrow 2(3)(a) = 24}\\\mathsf{\rightarrow 6(a) = 24}\\\mathsf{\rightarrow 6a = 24}\\\\\text{DIVIDE 6 to BOTH SIDES}\\\\\mathsf{\rightarrow\dfrac{6a}{6} = \dfrac{24}{6}}\\\\\text{SIMPLIFY it}\\\\\mathsf{\rightarrow a = \dfrac{24}{6}}\\\\\mathsf{\rightarrow a = 4}\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{a = 4}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Evaluate the expression when b=4 and x-4. -7b+x
Answer: -32
Step-by-step explanation:
George spent $109.65 for a radio, which was 43% of his savings. How much did he have in savings before
he purchased the radio?
Enter your answer in number form only. Do not attach a label.
The savings before he purchased the radio is
What is the percentage?A percentage is a figure or ratio that can be stated as a fraction of 100.
If we need to determine the percentage of the given number, we divide the number by its whole number and multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".
Given cost of radio = $109.65
and $109.65 is 43% of his savings,
let saving be x
according to conditions,
43% of x = 109.65
43x/100 = 109.65
43x = 109.65 × 100
x = 10965/43
x = $255
Hence the saving of George is $255.
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Convert areas (or volums) into the same units in each pair. What fraction will you get
if (after the conversion) you divide first number in each pair by the second number?
Write each fraction in simplest form.
2 in² and 5 yd²
The fraction is 0.001545/5 =0.00309/1 .
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
2 in² and 5 yd²
now,
1 inch =0.0278yard
so, we get,
2in^2=0.001545 yd^2
i.e. 0.001545/5
=0.00309/1
hence, The fraction is 0.001545/5 =0.00309/1 .
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Solve the system by substitution.
y= −6x −2x−y= 16
Using substitution method to solve the system of linear equations, the value of x and y are 4 and -24 respectively.
What is system of linear equationA system of linear equations is a set of two or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system simultaneously. Linear equations are equations that can be written in the form of ax + by = c, where a, b, c, x and y are constants.
In this problem, the equations are
y = -6x ...eq(i)-2x - y = 16 ...eq(ii)Using substitution method;
Put the value y in eq(i) into eq(ii)
-2x - (-6x) = 16
-2x + 6x = 16
4x = 16
x = 4
Put x = 4 into equ(i)
y = -6(4)
y = -24
The value of x and y are 4 and -24
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(Look at picture) Ty for the help
The amount of light reflected up through the top of a
diamond (brilliancy) can be maximized using the ratio between the width of the
diamond and the depth of the diamond. A gemologist has a diamond with a width of
80 millimeters. If x represents the depth of the diamond, then 80/x
represents the
brilliancy ratio y. Describe the reasonable domain and range values. Graph the function.
The domain and range are (0 , ∞) and (0 , ∞).
What is domain ?
The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
The set of all initial elements in ordered pairs constitutes the domain (x-coordinates). The set of all second items in ordered pairs is the range (y-coordinates).
Given
y = 80 / x
As per the graph the domain and range are
domain : (0 , ∞)
{depth of the diamond > 0 }
range : (0 , ∞)
{ratio > 0}
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