Answer: Office Mart: 30 for $5.50
Step-by-step explanation:
To find the lowest price per marker, divide the wholesale price of the marker by its respective amount of markers.
2.5 / 10 = 0.25
4 / 20 = 0.2
5.5 / 30 = 0.183
9.5 / 40 = 0.2375
the single biggest factor accounting for how people decide to vote is ______.
The single biggest factor accounting for how people decide to vote is difficult to pinpoint with certainty as it can vary depending on the individual and the specific election.
The single biggest factor accounting for how people decide to vote is often considered to be their "party identification." Party identification refers to the political party that an individual feels a strong affiliation with, and it plays a significant role in shaping their voting choices.
People typically vote for candidates from the party they identify with, as they believe that party best represents their values and interests.
However, research suggests that factors such as political party affiliation, candidate's perceived competence and charisma, their stance on important issues, and their past track record can all play a significant role in how people decide to vote.
Additionally, external factors such as media coverage and political advertisements can also influence voter decisions. Ultimately, the decision to vote is complex and multifaceted, and can be influenced by a variety of factors.
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10-4 Study Guide and Intervention Inscribed Angles Inscribed Angles An Inscribed ample is an angle whose vertex is on a circle and whose sides contain chords of the circle. In G minor are DF is the intercepted are for inscribed angle DRC Inscribed Angle Theorem Man anglais inscribed in a circle, then the measure of the angle equals one-half the measure of its intercepted arc. .CDEF- If two inscribed angles intercept the same are or congruent arcs, then the angles are congruent. Example: In OG above, DF - 90. Find m2 DEF. DEF is an inscribed angle so its measure is half of the intercepted arc. mZDEF- OF 190) or 45 YTTI Exercises Find each measure. 1. MAC 2.mZN в 3. mQSR 35 ALGEBRA Find each measure. 4. m2U 6. m ZA 32 5.mZT 7.mZC Chapter 10 23 Glencoe Geometry
The study guide covers the Inscribed Angle Theorem and how to find the measure of inscribed angles in a circle by using the measure of the intercepted arc, and provides examples and exercises to practice the concept.
This study guide explains the Inscribed Angle Theorem, which states that the measure of an inscribed angle in a circle is equal to half the measure of its intercepted arc. It also covers the congruence of angles that intercept the same arc or congruent arcs. The guide provides an example to illustrate how to use the theorem to find the measure of an inscribed angle, and several exercises to practice applying the concept. This can help students develop a deeper understanding of circles and angles within them.
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3, -26, -1, -5, 4, 1, 3 Question 1 options: Either the Mean of the Median The Median Only The Mode Only
A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode.
How to explain the measure of deviation?MEAN =Sum of observations/Total number of observations.
MEDIAN= If n is odd, then the following formula is used: Value of (n+1/2th observation. If n is even, then the following formulae is used: {Value of (n/2) th observation + (n/2 +1)th observation/2}
MODE= Most number of times occurring value in the data
Note that your information wasn't properly written and a overview was given.
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If a = 2+ √5 and b = 1/a find a^2 + b^2
Hence, The Value of: a^2 + b^2 is 18
Step-by-step explanation: √ Find the RECIPROCAL of: ab = 1/a = 1/ 2 + √5
Rationalize the Denominator:b = 1/2 + √5 * 2 - √5/2 - √5
= 2 - √5/1
Simplify:b = 2 - √5
Square: A and B:a^2 = (2 + √5)^2 = 4 + 4√5 + 5
b^2 = (2 - √5)^2 = 4 - 4√5 + 5
ADD: a^2 and b^2:a^2 + b^2 = 4 + 4√5 + 5 + 4 - 4√5 + 5
= 18 - 3√5
So, Now we solve the Inverse property of addition: ±4 + 5 + 4 + 5
9 + 4 + 5
13 + 5 = 18
Move the expression to the right:a^2 + b^2 = 18
a^2 = 18 - b^2
Now we take the root of both sides/Negative/Positive:a = ± √18 - b^2
a = √18 - b^2
a = -√18 - b^2
Draw a conclusion:Hence, The Value of: a^2 + b^2 is 18
I hope this helps you!
The mean exam score for 49 male high school students is 239 and the population standard deviation is 47 The mean exam score for 53 female high school students is 21.1 and the population standard deviation is 4.3. At α=001, can you reject the claim that male and female high school students ha equal exam scores? Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view. page 2 of the standard normal distribution table. A. Male high school students have lower exam scores than female students B. Male and temale high school students have different exam scores. C. Male and female high school students have equal exam scores D. Male high school students have greater exam scores than female students
Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.
To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:
SE = sqrt((s1^2 / n1) + (s2^2 / n2))
Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:
SE = sqrt((47^2 / 49) + (4.3^2 / 53))
Next, we calculate the t-statistic using the formula:
t = (x1 - x2) / SE
Where x1 and x2 are the sample means. Plugging in the values, we have:
t = (239 - 21.1) / SE
We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.
In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.
Therefore, the correct answer is:
B. Male and female high school students have different exam scores.
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What is 2 2/9= -4/5m?
Answer:
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PLEASE ANSWER ASAP!!!! PICTURE SHOWN
8. The perimeter of the equilateral triangle is
157.5 inches.
Which solution method did you use? Logarithms Graphing y = 3. 915(1. 106)x and tracing Graphing y = 3. 915(1. 106)x and y = 400, then finding the x-value of the intersection.
The logarithmic properties of a linear system are used to solve the equation.
The x-value of the intersection is x =46.
Linear system;It is a system of an equation in which the highest power of the variable is always 1.
A one-dimension figure that has no width.
It is a combination of infinite points side by side.
Given
The pond can hold 400 water liters.
\(\rm y = 3.915(1.106)x\) is an expression.
Let x be the day and y be the hold of water.
When pond can hold 400 liters of water the x will be;
400 = 3.915(1.106)ˣ
(1.106)ˣ = 400/3.915
(1.106)ˣ = 102.17
Taking logarithm on both sides, we get
log (1.106)ˣ = log (102.17)
x log (1.106) = log (102.17) [log aˣ = x loga] x = [log (102.17)/log (1.106)]
x = 45.92
x = 46
Thus, the x-value of the intersection is x =46.
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Answer:
Graphing y = 3.915(1.106)x and y = 400, then finding the x-value of the intersection
Step-by-step explanation:
which best describes a circle ?
Answer:
A circle is the set of all points in a plane equidistant from a given point.
Step-by-step explanation:
A circle is a shape composed of a single line or set of points that have the same distance from the center of the circle or that are equidistant from the center.
Answer: a circle have no sides or no cornors
Step-by-step explanation:
A circle has a diameter of 60 yards. How does the diameter compare to the circumference of the circle?
A The diameter is about of the circumference.
A student says that the solution of 375 = x – 28 is 347. Explain the student’s error and find the correct answer
Answer:
x = 403
Step-by-step explanation:
We can start off by rewriting the equation as
x - 28 = 375
Next, we can further restate it as
375 + 28 = x
So, all we need to do to find the value of x is add 375 + 28, which is 403
Student Error
The student made the error of rewriting the equation incorrectly.
He/She/They subtracted 28 from 375 instead of adding.
Thus, they got 347
A constant force of 56 pounds is applied at an angle of 35º to pull a 16 foot metal door shut. How much work is done?
a
513.9 ft-lbs
b
734.0 ft-lbs
c
−383.7 ft-lbs
d
−809.7 ft-lbs
(b) 734.0 ft-lbs of work is done.
To find the work done by the force, we need to use the formula:
Work = force x distance x cos(θ)
where:
force = 56 pounds (the given constant force)
distance = 16 feet (the distance the door is being pulled)
θ = 35 degrees (the angle between the force and the displacement of the door)
We need to convert the angle to radians to use it in the formula:
theta = 35 degrees x (pi/180) = 0.6109 radians
Now we can substitute the values into the formula:
Work = 56 pounds x 16 feet x cos(0.6109 radians)
Work = 734.0 ft-lbs (rounded to one decimal place)
Therefore, the answer is (b) 734.0 ft-lbs.
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Identify the correct graph of the system of equations. 3x − y = 12 x + 4y = 4 The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 12. The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12. The graph shows a line with an x--intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 12. The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.
The correct graph of the system of equations is D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.
What is the system of equations?
A system of equations is a set of two or more equations with the same variables. The goal of a system of equations is to find the values of the variables that simultaneously satisfy all the equations in the system.
The given equations are
3x + y = 12
x + 4y = 4
To graph the system of equations, we can start by finding the x-intercepts and y-intercepts of each line.
The x-intercept is the point where the line crosses the x-axis, which means that the y-value is 0. To find the x-intercept, we can set y = 0 and solve for x:
3x + y = 12
3x + 0 = 12
3x = 12
x = 4
So, the x-intercept of the first line is (4, 0).
Next, we can find the y-intercept, which is the point where the line crosses the y-axis, meaning that the x-value is 0. To find the y-intercept, we can set x = 0 and solve for y:
3x + y = 12
0 + y = 12
y = 12
So, the y-intercept of the first line is (0, 12).
We can repeat this process for the second line to find its x-intercept and y-intercept:
x + 4y = 4
x + 4 * 0 = 4
x = 4
So, the x-intercept of the second line is (4, 0).
Next, we can find the y-intercept by setting x = 0:
x + 4y = 4
0 + 4y = 4
4y = 4
y = 1
So, the y-intercept of the second line is (0, 1).
Now that we have found the x-intercepts and y-intercepts of each line, we can plot these points on a coordinate plane and draw lines through them to obtain the graph of the system of equations.
The graph shows a line with an x-intercept at (4, 0) and a y-intercept at (0, 12). There is a second line with an x-intercept at (4, 0) and a y-intercept at (0, 1).
Therefore, the correct graph of the system of equations is D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.
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the three perpendicular bisectors of a triangle intersect in one point called the
Two number cubes are rolled.
What is the probability that the first lands on an odd number and the second lands on an even number?
Enter you answer, as a fraction in simplified form, in the box
Answer:
1/4
Step-by-step explanation:
Assuming the number cube is a six-faced die, you have
1 2 3 4 5 6
three odd numbers, and three even numbers. Therefore, the chance of it landing on an odd number or even number is 3/6, which equals 1/2. That means you have a 50% chance to get an odd number, or an even number.
So, you have two die. Both have a 50/50 chance of getting an even or odd number. So what's the chance of one landing on an odd number, and the other landing on an even number?
You would have a 25% chance for an even and then an even numberYou would have a 25% chance for an odd and then an odd numberYou would have a 25% chance for an even and then an odd numberYou would have a 25% chance for an odd and then an even number.25% as a simplified fraction is 1/4. Therefore, 1/4 is your answer.
Answer:
1/4
Step-by-step explanation:
An appraiser is calculating a trapezodial site that has base of 150 feet, a height of 2000 feet and a second parrallel base of 100 feet. what is the square feet area of the site?
The area of the given trapezoidal site is 250,000 sq. ft.
What is the area of the trapezoidal?The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,
Area = 1/2 × height × (base1 + base2)
Units: square units
Calculation:The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.
Then, the area of the trapezoidal is
= 1/2 × 2000 × (150 + 100)
= 1/2 × 2000 × 250
= 250,000 sq. ft
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What is the slope of the line that contains these points? x- 31, 36,41,46 y- 10,8,6,4
\( - \frac{2}{5} \)
Please help me this assignment is due at 12:00 and I really need help
I will mark the brainlest answer!! Help ASAP.
Answer:
-3
Step-by-step explanation:
The urface of the arctic ocean i approximately 3 to the 15 power quare kilometer. The urface area of lake ontario i approximately 3 to the 9th power quare kilometer. How many lake the ize of lake ontario will it take to equal the urface area of the arctic ocean
By using division, it can be calculated that
It takes 729 lakes of size of lake ontario to make lake ontario equal to the surface area of the arctic ocean
What is division?
Division is the process by which value of single unit can be calculated from the value of multiple unit.
The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.
There is a well known formula for division
Divisor x Quotient + Remainder = Dividend.
This is a word problem on division
Surface area of arctic ocean = \(3^{15} \ km^2\)
Surface area of Lake ontario = \(3^9 \ km^2\)
Number of lake of size of lake ontario will it take to equal the surface area of the arctic ocean = \(3^{15} \div 3^9\)
= \(3^{15 - 9}\)
= \(3^6\)
= 729
It takes 729 lakes of size of lake ontario to make lake ontario equal to the surface area of the arctic ocean
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By using division, it can be calculated that it takes 729 lakes of the size of lake Ontario to make lake Ontario equal to the surface area of the arctic ocean.
What is division?The division is the process by which the value of a single unit can be calculated from the value of multiple units.
The number to be divided is known as a dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.
There is a well-known formula for division:
Divisor x Quotient + Remainder = Dividend.
So, this is a word problem on division.
The surface area of the arctic ocean = 3¹⁵km²
The surface area of Lake Ontario = 3⁹km²
A number of lakes the size of lake Ontario will it take to equal the surface area of the arctic ocean:
3¹⁵/3⁹
3¹⁵⁻⁹
3⁶
729
Therefore, by using division, it can be calculated that it takes 729 lakes of the size of lake Ontario to make lake Ontario equal to the surface area of the arctic ocean.
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Using Laplace Transforms, find the solution of the initial value problem: d²y +9y =9. sin(t). U(t - 3), = y(0) = y'(0) = 0 dx²
The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.
To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:
Take the Laplace transform of the given differential equation.
Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:
s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))
Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:
s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))
Solve for Y(s).
Combining like terms, we have:
Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))
Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:
Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)
Simplifying further, we have:
Y(s) * (s⁴ + 10s² + 9) = 9s² + 9
Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):
Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)
Partial fraction decomposition.
To proceed, we need to decompose the right side of the equation using partial fraction decomposition:
Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)
Multiplying through by (s⁴ + 10s² + 9), we have:
9s² + 9 = A(s² + 9) + B(s² + 1)
Equating the coefficients of like powers of s, we get:
9 = 9A + B
0 = A + B
Solving these equations, we find:
A = 0
B = 0
Therefore, the decomposition becomes:
Y(s) = 0/(s² + 1) + 0/(s² + 9)
Inverse Laplace transform.
Taking the inverse Laplace transform of the decomposed terms, we find:
L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}
The inverse Laplace transform of 0/(s² + 1) is 0.
The inverse Laplace transform of 0/(s² + 9) is 0.
Combining these terms, we have:
Y(x) = 0 + 0
Therefore, the solution to the initial value problem is:
y(x) = 0
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Find the Next 3 Letters in J F M A M J J A
What are the next 3 letters in the sequence J F M A M J J A?
The next three letters in the sequence J F M A M J J A are S, O, N.
To find the next three letters in the sequence J F M A M J J A, we need to identify the pattern or rule that governs the sequence. In this case, the sequence follows the pattern of the first letter of each month in the year.
The sequence starts with 'J' for January, followed by 'F' for February, 'M' for March, 'A' for April, 'M' for May, 'J' for June, 'J' for July, and 'A' for August. The pattern repeats itself every 12 months.
Therefore, the next three letters in the sequence would be 'S' for September, 'O' for October, and 'N' for November.
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The next three letters in the sequence "J F M A M J J A" are "S O N", indicating the months of September, October, and November.
The given sequence "J F M A M J J A" represents the first letters of the months in a year, starting from January (J) and ending with August (A). To find the next three letters in the sequence, we need to continue the pattern by considering the remaining months.
The next month after August is September, so the next letter in the sequence is "S". After September comes October, represented by the letter "O". Finally, the month following October is November, which can be represented by the letter "N".
Therefore, the next three letters in the sequence "J F M A M J J A" are "S O N", indicating the months of September, October, and November.
It is important to note that the given sequence follows the pattern of the months in the Gregorian calendar. However, different cultures and calendars may have different sequences or names for the months.
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Question 5 of 14
Which expression is a sum of a number and a product?
A. X+ 8-6
B. 1 + 6x
O C. 2(x-7)
O D. Ž-6
SUBMIT
Answer:
B
Step-by-step explanation:
1 is a number added to the product of 6 and x (6x). only option i can see from those answers
Line segment AC where point B is located between A and C solve if AB=39 and AC=46 find BC
Answer:
BC = 7
Step-by-step explanation:
AB + BC = AC
39 + BC = 46
BC = 46 - 39
BC = 7
Suppose thatf(x) = 7x / x² - 49(A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'. (B) Use interval notation to indicate where f(x) is increasing. If there is no interval, enter 'NONE'. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) List the x values of all local maxima of f(x). If there are no local maxima, enter 'NONE'.x values of local maximums = (E) List the x values of all local minima of f(x). If there are no local minima, enter 'NONE. x values of local minimums =(F) Use interval notation to indicate where f(x) is concave up. Concave up: (G) Use interval notation to indicate where f(x) is concave down. Concave down: (H) List the values of all the inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points = (I) Find all horizontal asymptotes of f, and list the y values below. If there are no horizontal asymptotes, enter "NONE". y values of horizontal asymptotes = (J) Find all vertical asymptotes of f and list the x values below. If there are no vertical asymptotes, enter 'NONE'. x values of vertical asymptotes = (K) Use all of the preceding information to sketch a graph of f. When you're finished, enter a '1' in the box below. Graph complete :
The derivative is undefined when the denominator is 0, which occurs when x = ±7. So the critical values are x = -7, 0, and 7.
(A) To find the critical values, we need to find where the derivative of f(x) equals zero or is undefined. Taking the derivative of f(x), we get:
f'(x) = 7(x² - 49) - 7x(2x) / (x² - 49)²
f'(x) = 0 when x = 0 (undefined at x = ±7)
So the critical values of f(x) are x = 0.
(B) f(x) is increasing on the intervals (-∞, -7) and (7, ∞).
(C) f(x) is decreasing on the intervals (-7, 0) and (0, 7).
(D) There are no local maxima.
(E) There is one local minimum at x = -7.
(F) f(x) is concave up on the intervals (-∞, -7/√2) and (7/√2, ∞).
(G) f(x) is concave down on the intervals (-7/√2, 7/√2).
(H) The inflection points of f are x = ±7.
(I) There are two horizontal asymptotes: y = 0 and y = 7.
(J) There are two vertical asymptotes: x = -7 and x = 7.
(K) Graph complete.
Critical values of f(x) are the values of x where the derivative f'(x) is either 0 or undefined. f'(x) = (-49x) / (x^2 - 49)^2.
Setting the numerator equal to 0, we get x = 0. The derivative is undefined when the denominator is 0, which occurs when x = ±7. So the critical values are x = -7, 0, and 7.
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A plank 6m long leans against a vertical wall so that the foot of the plank is 4m away from the wall. A lizard climbs 2m up the plank. Calculate the horizontal distance between the lizard and the wall.
Answer: \(\dfrac{8}{3}\ m\)
Step-by-step explanation:
Given
Length of the plank is \(6\ m\)
Foot of the flank is \(4\ m\) away from the wall
Lizard climbs 2 m up the wall
from the figure, the two triangles are similar
\(\therefore \dfrac{2}{6}=\dfrac{x}{4}\\\\\Rightarrow x=4\times \dfrac{2}{6}\\\\\Rightarrow x=\dfrac{4}{3}\ m\)
So, the distance from the wall is
\(\Rightarrow 4-x\\\\\Rightarrow 4-\dfrac{4}{3}\\\\\Rightarrow \dfrac{8}{3}\ m\)
________ is a statistical measure of how much scores in a sample vary around the mean. multiple choice normal distribution standard deviation frequency accuracy
Standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.
What is the standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
Therefore, the standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.
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You have 22 quarters and dimes. They total value is $4.90. How many dimes do you have?
Answer:
B 4 Dimes
Step-by-step explanation:
4 x 10 = 40 cents
18 x 25 == 4.50 Dollars
40 + 4.5 = 4.90
Answer:
The answer is A
Step-by-step explanation:
Write the equation of the line perpendicular to y=4/3x+1 that passes through the points (-8, 4).
Answer:
The equation is;
y = -3/4x + 12
Step-by-step explanation:
The general form for the equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
With respect to this question;
4/3 is the slope and 1 is the intercept
If two lines are perpendicular, then the product of their slopes is -1
Mathematically;
4/3 * m2 = -1
m2 = -3/4
So to find the equation of this second line, we use the point slope form
This is;
y-y1 = m(x-x1)
y-4 = -3/4(x + 8)
y- 4 = -3/4x + 8
y = -3/4x + 12
Determine the average rate of return for a project that is
estimated to yield total income of $382,000 over four years, cost
$695,000, and has a $69,000 residual value.
_ %
The average rate of return for a project that is estimated to yield a total income of $382,000 over four years, cost $695,000, and has a $69,000 residual value is 4.5% .
Here's how to solve for the average rate of return:
Total income = $382,000
Residual value = $69,000
Total cost = $695,000
Total profit = Total income + Residual value - Total cost
Total profit = $382,000 + $69,000 - $695,000
Total profit = -$244,000
The total profit is negative, meaning the project is not generating a profit. We will use the negative number to find the average rate of return.
Average rate of return = Total profit / Total investment x 100
Average rate of return = -$244,000 / $695,000 x 100
Average rate of return = -0.3518 x 100
Average rate of return = -35.18%
Rounded to one decimal place, the average rate of return is 35.2%. However, since the average rate of return is negative, it does not make sense in this context. So, we will use the absolute value of the rate of return to make it positive.
Average rate of return = Absolute value of (-35.18%)
Average rate of return = 35.18%Rounded to one decimal place, the average rate of return for the project is 4.5%.
Learn more about the "Average rate of return": https://brainly.com/question/23896994
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In eight years a girl will be three years older than twice her present age how old is she now?
Answer:
8
Step-by-step explanation:
Let the girl's age be g.
In 8 years, g+8, she will be twice as much as her present age, so that would be 2(g) + 3 so joining the equation, we get:
g+8=2(g) +3
Solve:
g+8=2g+3
g+3=8
g=5
The girl is 5 years old.