A corporation earned a profit of $2.5 × 104 for 1 × 103 days in a row. What was the corporation’s total profit during this time period?
Answers
Answer:
26780
Step-by-step explanation:
First, let us find how much did the corporation earn in one day.
$2.5x104=260
Now that we have found the amount of money the corporation earned in a day, it is time to find how many days did the streak continue.
1x103=103
Finally, let us find how much they earned during that period.
260x103
Total profit of corporation during a time period of 103 days is $ 26780
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Profit earned by Corporation in a day = $ 2.5 x 104
= $ 260
Total time period of Corporations' profit = 1 x 103 days
= 103 days
Total profit during a time period of 103 days =
Profit earned by Corporation in a day x 103 days
Total profit during a time period of 103 days = 260 x 103
= $ 26780
Hence , total profit of corporation is $ 26780
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Related Questions
in exercises 27 and 28, find one real root of the equation by inspection. then use descartes' rule to show that there are no other real roots
Answers
We can conclude that the equation has exactly one real root (namely, x = 0) and two complex conjugate roots.
What is the quadratic equation?
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
I can give an example to demonstrate how to use inspection and Descartes' rule to find a real root of an equation and show that there are no other real roots.
Consider the equation x³ - 3x² + 2x = 0. By inspection, we can see that x = 0 is a real root of the equation since the left-hand side of the equation evaluates to 0 when x = 0.
To use Descartes' rule, we need to count the number of sign changes in the coefficients of the polynomial f(x) = x³ - 3x² + 2x.
There are two sign changes: from positive to negative in the coefficient of x² and from negative to positive in the constant term.
Therefore, according to Descartes' rule, the equation has either two or zero positive real roots.
Next, we need to count the number of sign changes in the coefficients of f(-x), which is obtained by replacing x with -x in f(x).
We have f(-x) = -x³ - 3x² - 2x, which has one sign change: from negative to positive in the coefficient of x².
Therefore, according to Descartes' rule, the equation has either one or three negative real roots.
Since the total number of positive and negative real roots must add up to the degree of the polynomial (which is 3 in this case),
Hence, we can conclude that the equation has exactly one real root (namely, x = 0) and two complex conjugate roots.
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Please help! Find the value of x using the Triangle Angle Bisector Theorem.
Answers
Using Triangle Angle Bisector Theorem the value of x is 12.41 units.
How find angle in a triangle using Triangle Angle Bisector Theorem?The angle bisector of a triangle divides the opposite side into two parts proportional to the other two sides of the triangle.
In other words, an angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.
Therefore,
16.4 / x = 11.5 / 8.7
cross multiply
8.7 × 16.4 = 11.5 × x
142.68 = 11.5x
divide both sides by 11.5
x = 142.68 / 11.5
x = 12.4069565217
x = 12.41 units
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Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
12,9,6,...
Answers
Step-by-step explanation:
The sequence is AP(arithmetic progression) with a common difference of -3
The given sequence is in arithmetic sequence and the common difference is 3.
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The sequence is,
⇒ 12, 9, 6, ...
Here, The common difference is find as;
⇒ 9 - 12 = - 3
⇒ 6 - 9 = - 3
Which is same.
So, The sequence is an Arithmetic sequence.
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help on math will give brain list middle school question not high school
Answers
Answer: 5, | 4 |, | -1 |, -2
Answer:
0, l-1l, l-2l, l4l, 5
Step-by-step explanation:
The absolute value bars l l, turn any negative number positive and any positive number remains positive.
Find DE.
3x - 28
3x - 30
X
D
6
F
33
Answers
Several friends (Calvin, Dean, Kelli, and Lee) went to Cal's Late Night Diner for a bite to eat. Match each person to their drink (Iced tea, Lemonade, Root Beer, and Water) and determine how much each paid ($4.99, $5.99, $6.99, and $7.99) for their meal.
Clues:
1. The Diner who paid $4.99 was either Calvin or the one who got the Root Beer.
2. Kelli paid $6.99
3. The one who got the water paid 1 dollar less than Dean.
4. Calvin paid more than Lee.
5. The one who got the Root beer paid 1 dollar less than the one who got the Iced Tea.
Answers
Based on the given clues, we can determine the person, drink, and price paid for each individual:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
How to determine how much each friends paidFrom clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.
From clue 2, Kelli paid $6.99.
From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.
From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.
Therefore, the final assignments are:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
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Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8
Answers
Answer:
b=4
Step-by-step explanation:
So, we have the function \(f(x)=1/x\). We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).
f(2) = 1/(2) = 1/2
So, we have the point (2, 1/2)
At point b, f(b) = 1/b.
Let's plug this into the slope formula:
\(\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b} =-1/8\)
Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).
\(\frac{.5b-1}{2b-b^2} =\frac{-1}{8}\)
Now, cross multiply.
\(4b-8=b^2-2b\)
\(b^2-6b+8=0\)
Solve for b. Factor using the numbers -4 and -2.
\(=(b-4)(b-2)=0\)
Thus, b=4 or b=2.
However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.
We want to find an interval such that the given equation, f(x) = 1/x, has an average rate of change of -1/8 in that interval.
We will see that the interval is [2, 4]
-------------------------------
For a function f(x), the average rate of change in the interval [a, b] is given by:
\(r = \frac{f(b) - f(a)}{b - a}\)
Here we have:
\(f(x) = 1/x\)
And the interval is [2, b] such that r in that interval is -1/8, so we need to solve:
\(r = -1/8 = \frac{f(b) - f(2)}{b - 2} = \frac{1/b - 1/2}{b - 2}\)
We can rewrite it to:
\(-1/8 *(b - 2)= 1/b - 1/2\\\\-1/8 *(b - 2)= 2/2b - b/2b = (2 - b)/2b = -(b - 2)/2b\)
Now we can remove the term (b - 2) because it appears on both sides, so we get:
\(-1/8 = -1/2b\\1/8 = 1/2b\\2/8 = 1/b\\1/4 = 1/b\\b = 4\)
Then we found that b must be equal to 4, so the interval is [2, 4]
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The idea that group work theories are appropriate for all clients all the time is a(n)? empirical truth professional tenet myth lie
Answers
The idea that group work theories are appropriate for all clients all the time is a myth (Third option).
About Group Process:
The term "group process" describes how people collaborate within an organization to complete tasks. Typically, organizations invest a lot of time and effort into defining and achieving goals, but little thought is usually given to how those goals are affecting the most valuable resource of a group - its people.
Since different clients have different demands and priorities, group work might not be suitable for many, but not for all. Different types of clients require different types of collaboration, type of group or individuals, and working strategies that work for their goals the best.
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find the area of the shaded region in the figure. round answer to two decimal places, (use pie= 3.14)
Answers
Area of rectangle = 7 x 5 = 35
Area of rectangle - area of circle = 200.96 - 35 = 165.96
A plumber cuts three sections of pipe from a 12 ft length of ABS pipe. The length of the three sections is 33 3/8 inches 56 5/8 inches 39 7/8 inches. What is left over if the saw cut is 1/8 inch wide?
Answers
There are 13 7/8 inches left over after cutting the three sections and considering the saw cut width.
To find out what is left over after cutting the three sections of pipe from the 12 ft length of ABS pipe, considering the saw cut is 1/8 inch wide, follow these steps:
Convert the length of the pipe to inches. There are 12 inches in a foot, so multiply 12 ft by 12 inches/ft: 12 ft * 12 inches/ft = 144 inches.
Add the lengths of the three sections: 33 3/8 inches + 56 5/8 inches + 39 7/8 inches.
To add the fractions, first find the common denominator, which is 8:
(33 + 3/8) + (56 + 5/8) + (39 + 7/8) = 128 + 15/8 = 128 + 1 7/8 = 129 7/8 inches.
Consider the saw cut width. Since there are two cuts (one between the first and second sections and one between the second and third sections), multiply the width by the number of cuts: 1/8 inch * 2 = 2/8 inch = 1/4 inch.
Subtract the total length of the sections and the saw cut width from the original length of the pipe: 144 inches - (129 7/8 inches + 1/4 inch).
To subtract the fractions, first find the common denominator, which is 8:
144 - (129 + 7/8 + 1/4) = 144 - 129 - 7/8 - 2/8 = 144 - 129 - 9/8 = 144 - 129 - 1 1/8 = 15 - 1 1/8 = 13 7/8 inches.
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Area please help I’m desperate
Answers
The area of triangle given in the given image is 180 \(m^2\) as per the given data.
What is area of an triangle?To calculate the area of a triangle, you must first determine the length of the base and the height of the triangle.
The base can be any of the triangle's sides, and the height is the perpendicular distance between the base and the opposite vertex.
The formula for calculating the area of a triangle is A = (1/2) x b x h, where A is the area of the triangle, b is the length of the triangle's base, and h is the height of the triangle.
We know that,
Area = 1/2 x b x h
Here, it is given that:
Base = 30m
Height = 12m
So,
Area = 1/2 x 30 x 12
Area = 180\(m^2\)
Thus, the answer is 180\(m^2\).
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Score on last try: 0.75 of 1 pts. See Details for more. > Next question Get a similar question You can retry this question below [infinity] x²+4 Determine whether the integral de is divergent or convergent. x¹ + 7x² + 27 x²+4 fdx Use a comparison of da to for a positive integer p. x47x² + 27 XP 2² +4 2² Hint: For large x the integrand is close to 24+7x² +27 Smallest p= dr b S x² +4 x¹ + 7x² + 27 o Odiverges converges 2² +4 de diverges converges ______ ТР da XP 8 So √₂ 24+ 72²2 2 OF 27 da x1
Answers
The task is to determine whether the integral ∫(x²+4)/(x¹ + 7x² + 27) dx is divergent or convergent. We need to compare it to a known convergent or divergent integral using a positive integer p.
To determine the convergence or divergence of the given integral, we can compare it to a known convergent or divergent integral. The suggested comparison is to compare the given integral to ∫(24+7x²+27)/(x²+4) dx.
By analyzing the behavior of the integrand for large values of x, we can observe that the integrand is close to 24+7x²+27. This allows us to make a comparison using the integral ∫(24+7x²+27)/(x²+4) dx.
To evaluate the convergence or divergence of the original integral, we need to find the smallest positive integer p such that the integral ∫(24+7x²+27)/(x²+4) dx converges.
Further details or specific calculations are required to determine the value of p and conclude whether the original integral diverges or converges.
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What is the perimeter of a square that has a side length of 7x - 2
Answers
Answer:
28x-8
Step-by-step explanation:
There are four sides in a square, and all the sides are the same length. Because one side is 7x-2, we just have to do 4(7x-2) to get 28x-8
asap! please help i’ll give brainliest
Answers
Answer:
the 3rd one
Step-by-step explanation:
range refers to the difference between smallest and largest!
hope this helped!!! :D
in sets of 6 9 12 16 25 32 49 156 64 100 which of the numbers are perfect square
Answers
Answer:
49 ,9，32，100，64 this much i think
for which values of a is the matrix singular? (enter your answers as a comma-separated list.) a 5 4 20
Answers
The value of 'a' for which the matrix is singular is 1.
The matrix is singular if and only if its determinant is zero. The determinant of the given matrix is:|a 5| |4 20|The determinant is equal to a × 20 - 4 × 5 = 20a - 20 = 20(a - 1). Therefore, the matrix is singular when 20(a - 1) = 0, which means when a = 1.
A matrix of order m by n, often known as a m n matrix, is a rectangular array of m n numbers (real or complex), organised into m horizontal lines (referred to as rows) and n vertical lines (referred to as columns). The elements [] or (enclose such an array).
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The table shows the number y calories burned in x minutes.
Find the missing y-value that makes the table represent a
linear function.
50
100 150
Input, x 0
Output,
O
у
24
36
У
Answers
Answer:
12
Step-by-step explanation:
The equation
2x(50) = 24
x(50) = 12
Answer:
y = 12
Step-by-step explanation:
36 - 24 = 12.
24 calories were burned in 100 minutes. 36 calories were burned in 150 minutes. That means that in 50 minutes (150 - 100) 12 calories were burned.
A law firm charges $175 per hour for the first 3 hours plus a $300 origination fee for its services.
Answers
Answer:
$825 if your looking for the total amount
Step-by-step explanation:
175(3) + 300 = x
525 + 300 = x
x = 825
A certain type of brass contains 65% copper. How many pounds of copper are contained in 120 pounds of brass?
Answers
The number of pounds of copper in 120 pounds of brass is = 78 pounds of copper
Calculation of number of pounds of copperThe percentage of copper in the brass = 65%
Therefore the quantity of copper in the brass = 65/100= 0.65 pounds
This means that 1 pound brass contains = 0.65 pounds of copper
The quantity of copper in 120 pounds of brass = 120 * 0.65
= 78 pounds of copper.
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Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. A trigonometric equation with an infinite number of solutions is an identity.
Answers
False. A trigonometric equation with an infinite number of solutions is not necessarily an identity.
A trigonometric identity is an equation that holds true for all values of the variables involved. It is a fundamental property of trigonometric functions. On the other hand, a trigonometric equation with an infinite number of solutions means that there are multiple values of the variables that satisfy the equation, but it doesn't imply that the equation is true for all values.
For example, the equation sin(x) = 0 has an infinite number of solutions, which are x = 0, π, 2π, 3π, and so on. However, this equation is not an identity because it is not true for all values of x. It is only true when x is an integer multiple of π.
Therefore, it is important to distinguish between trigonometric identities that hold true for all values and trigonometric equations that have an infinite number of solutions but may not be true for all values.
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The admission fee at a small fair is $1. 50 for children and $4. 00 for adults. on a certain day, 2200 people enter the fair and $5050 is collected. how many children and adults attended?
Answers
(I don't really know how to explain it though.)
If f(x) = x4 − x3 + x2 and g(x) = −x2, where x ≠ 0, what is (f ⁄g)(x)? m
Answers
Answer:x − x^{2} − 1.
Step-by-step explanation:
.
what does the size or dimension of the matrix tells?
Answers
Answer:
The dimensions of a matrix are the number of rows by the number of columns.
PLEASE HELP NEED THIS BY 9/28/20
Which equation has no solution?
3x-3(x-4) = 8
7x- 7(x-4) = 28
7x- 3(x-4) = 8
-9x-3(x- 4) = 8
Answers
Answer:
I'm going to go with the last one
Step-by-step explanation:
im not 100%sure tho
What is thirty-two times by itself?
Answers
32×32 gives 1024.
Hope it helps!
Abigail is a waitress at a restaurant. Each day she works, Abigail will make a
guaranteed wage of $25, however the additional amount that Abigail earns
from tips depends on the number of tables she waits on that day. From past
experience, Abigail noticed that she will get about $11 in tips for each table
she waits on. How much would Abigail expect to earn in a day on which she
waits on 17 tables? How much would Abigail expect to make in a day when
waiting on t tables?
Answers
Answer:
$212
25 + 11t
Step-by-step explanation:
Total wage = fixed wage + variable wage
Fixed wage = $25
Variable wage depends on tips from a number of tables
Abigail gets $11 in tip per table
Let t = number of tables
Variable wage = 11t
Total wage = 25 + 11t
How much would Abigail expect to earn in a day on which she
waits on 17 tables?
Total wage = 25 + 11t
= 25 + 11(17)
= 25 + 187
= $212
Abigail will earn a total of $212 if she waits on 17 tables each day
How much would Abigail expect to make in a day when
waiting on t tables?
Total wage = 25 + 11t
When t = t
Total wage = 25 + 11t
Abigail will earn a total of 25 + 11t if she waits on t tables each day
Simon says that the expression 4,501+6,671+11,631 divided by n can be evaluated by adding 4,501+6,671+11,631 and then dividing by the value of n. Do you agree? Explain.
Answers
Use PEMDAS.
The dividing by n applies to the number adjacent to it which in this case is 11,631.
No because the order of operations requires division to be performed before addition.
What is the length of the radius of a circle with a center at 2 – i and a point on the circle at 8 7i?
Answers
The length of radius of the circle having center at (2-i) and point on circle at (8+7i) is 10 units .
To find the length of the radius of a circle with a center at (2-i) and a point on the circle at (8+7i), we can use the distance formula , which is
The formula to find distance between 2 points (x₁, y₁) and (x₂, y₂) is given by:
⇒ d = √[(x₂ - x₁)² + (y₂ - y₁)²] ,
In this case, the center of the circle is (2-i), which means that the x-coordinate of the center is 2 and the y-coordinate is -1.
The point on the circle is (8+7i), which means that the x-coordinate of the point is 8 and the y-coordinate is 7.
By using distance formula, we can find distance between the center and the point on circle ,
⇒ d = √[(8 - 2)² + (7 - (-1))²]
⇒ d = √[6² + 8²]
⇒ d = √[36 + 64]
⇒ d = √100
⇒ d = 10
Therefore, the length of the radius of the circle is 10 units.
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The given question is incomplete , the complete question is
What is the length of the radius of a circle with a center at (2-i) and a point on the circle at (8+7i)?
(Expected rate of return and risk) B. J. Gautney Enterprises is evaluating a security. One-year Treasury bills are currently paying 4.8 percent. Calculate the investment's expected return and its standard deviation. Should Gautney invest in this security? Probability 0.20 Return - 4% 4% 7% 0.45 0.15 0.20 10% (Click on the icon in order to copy its contents into a spreadsheet.) ...) a. The investment's expected return is%. (Round to two decimal places.)
Answers
The investment's expected return is 5.95%.
Is the investment's expected return favorable for Gautney?The expected return of an investment is calculated by multiplying the probabilities of each possible return by their respective returns and summing them up. In this case, Gautney Enterprises has provided the probabilities and returns for the investment. By applying the formula, we find that the expected return is 5.95%.
To calculate the standard deviation, we need to determine the variance first. The variance is computed by taking the difference between each possible return and the expected return, squaring those differences, multiplying them by their respective probabilities, and summing them up. Once we have the variance, the standard deviation is simply the square root of the variance. The standard deviation measures the degree of risk associated with an investment.
In this scenario, the expected return of the investment is 5.95%, but we need to consider the standard deviation as well to assess the risk. If the standard deviation is high, it indicates a greater level of uncertainty and potential volatility in returns. A low standard deviation implies a more stable investment.
Without the specific values for each return and their respective probabilities, we cannot calculate the exact standard deviation. However, Gautney Enterprises should compare the calculated expected return and the associated standard deviation to their risk tolerance and investment objectives. If the expected return meets their desired level of return and the standard deviation aligns with their risk appetite, they may consider investing in this security.
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what is the slope of the line tangent to the polar curve r=4θ2 at the point where θ=π4 ?
Answers
The slope of the tangent is 2π.
What is slope of a line?The slope of a line, often denoted by the letter "m," is a measure of how steep or inclined the line is. It represents the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.
To find the slope of the line tangent to the polar curve at a specific point, we need to differentiate the polar equation with respect to θ and evaluate it at the given value of θ.
The polar equation given is r = 4θ². To differentiate this equation with respect to θ, we need to express r in terms of θ and then differentiate. Since r = 4θ², we can rewrite it as:
r = 4θ² = 4(θ²)
Now, we can differentiate both sides of the equation with respect to θ:
dr/dθ = d(4θ²)/dθ
Using the power rule for differentiation, the derivative of θ² with respect to θ is 2θ:
dr/dθ = 4(2θ)
Simplifying, we get:
dr/dθ = 8θ
Now, we can evaluate this derivative at the given value θ = π/4:
dr/dθ = 8(π/4) = 2π
Therefore, the slope of the line tangent to the polar curve r = 4θ² at the point where θ = π/4 is 2π.
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