Addison has x dimes and y nickels, having a minimum of 20 coins worth at most $1.60 combined. No less than 4 of the coins are dimes. Solve this system of inequalities graphically and determine one possible solution.

Answers

Answer 1

The required graph of the inequality has been shown and the solution is; 8 Nickels  and 12 dimes.

How to solve a system of inequalities?

Inequality can be defined as the relation of the equation possessing the symbol of ( ≤, ≥, <, >).

Let the number of nickels be x and let the number of dimes be y,

We are told that Addison has x dimes and y nickels, having a minimum of 20 coins worth at most $1.60 combined. Thus, we can generate the equations as;

x + y = 20

x = 20 - y - - - - (1)

0.05x + 0.10y ≤ 1.60 - - - -(2)

We are also told that no less than 4 of the coins are dimes. Thus;

x ≥ 4

From the graph, one solution is given as 8 Nickels and 12 dimes.

Read more about system of inequalities at; https://brainly.com/question/25275758

#SPJ1

Addison Has X Dimes And Y Nickels, Having A Minimum Of 20 Coins Worth At Most $1.60 Combined. No Less

Related Questions

Help pleas mor points!

Answers

Answer:

Sandwich = 2

Cookie = 1

Step-by-step explanation:

Let

cost of sandwiches = x cost of cookies = y

This would mean :

3x + 2y = 8  and 7x + 2y = 16

Because we have two similar terms in the equations, (2y) we can subtract the two equations from each other cancelling out the terms resulting in us having one term that we can solve for. This is known as the elimination method

  7x + 2y = 16

-  3x + 2y  = 8

-----------------------

4x   +   0y   = 8

==> 4x = 8

==> x = 2

We can now plug in the value of x into one of the equations and solve for y

==> 7x + 2y = 16

==> 7(2) + 2y = 16

==> 14 + 2y = 16

==> 2y = 2

==> y = 1

We can conclude that the cost of a sandwich is 2 and the cost of a cookie is 1


Answer
(a) sandwich cost £2
(b) cookie cost £1

let sandwiches be x
let cookies be y

3x + 2y=8……(1)
7x +2y=16……(2)

multiple equation (2) throughout by (-)

3x + 2y=8
-7x -2y= -16

Add both equations

-4x + 0= -8

-4x = -8
divide both side by -4

-4x/-4 = -8/-4

x = 2

so the cost of sandwich is £2

substitute x=2 into equation (1)

3x + 2y=8……(1)

3(2) + 2y=8

6 + 2y=8

so if we transpose

2y=8-6

2y=2

divide both side by 2

2y/2=2/2

y = 1

and the cost of cookie is £1

Solve for X - 18 points.

Answers

Answer:

x = 1 1/2

Step-by-step explanation:

1/3 x + 1/4 = 3/4

Solving for x

Subtract 1/4 from each side

1/3 x + 1/4 -1/4 = 3/4-1/4

1/3 x = 2/4

Simplify

1/3x = 1/2

Multiply each side by 3

1/3 x * 3 = 1/2 * 3

x = 3/2

Changing to a mixed number

x = 1 1/2

Answer:

[tex]\sf \frac{3}{2} = 1 \frac{1}{2} \\ [/tex]

Step-by-step explanation:

[tex] \sf \frac{1x}{3} + \frac{1}{4} = \frac{3}{4} \\ [/tex]

To solve easily, multiply the whole equation by it's LCM ( LCM of 3 & 4 is 12 ).

[tex] \sf12 \times ( \sf \frac{1x}{3} + \frac{1}{4} = \frac{3}{4} ) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \\ \\ \sf \frac{1x}{3} \times 12 + \frac{1}{4} \times 12= \frac{3}{4} \times 12\\ \\ \sf \sf \frac{12x}{3} + \frac{12}{4} = \frac{36}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf4x + 3 = 9 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

And now solve for x.

First, subtract 3 from both sides.

[tex] \sf4x = 9 - 3 \\ \sf4x = 6[/tex]

Divide both sides by 4.

[tex] \sf \: x = \frac{6}{4} \\ [/tex]

To write the fraction in its simplest form, divide both the numerator and denominator by 2.

[tex] \sf \frac{3}{2} = 1 \frac{1}{2} \\ [/tex]

Ximena needs to order some new supplies for the restaurant where she works. The restaurant needs at least 333 spoons. There are currently 255 spoons. If each set on sale contains 6 spoons, which inequality can be used to determine ss, the minimum number of sets of spoons Ximena should buy?

Answers

In linear equation, Joshua should buy is 255 + 6s ≥ 333.

What is linear equation in math?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Let the sets of spoons be represented by s

The restaurant needs at least 333 spoons.

Each set on sale contains 8 spoons

There are currently 333 spoons.

At least as an inequality is ≥

Hence:

255 + 6 × s ≥ 333

255 + 6s ≥ 333

Therefore, inequality tha can be used to determine s the minimum number of sets of spoons Joshua should buy is

255 + 6s ≥ 333

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

If P is true, Q is false, R is true, and S is false, determine the truth value of the following.

~[P v (Q v R)] >~ (SVP)

O a. True

O b. False

Answers

The truth value of the ~[P v (Q v R)] >~ (S v P) is true.

Truth-value, in logic, is the degree to which a particular proposition or assertion is true (T or 1) or false (F or 0). Because the truth-value of a compound proposition is a function of, or a quantity depending upon, the truth-values of its component components, logical connectives like disjunction and negation can be conceived of as truth-functions.

Given, ~[P v (Q v R)] >~ (S v P) since P v (Q v R) is true, thus ~ [ P v ( Q v R ) ] is false, therefore the implication is true.

⇒~[T v (F v T)] >~ (F v T)

⇒[F v (F v T)]>(T v T)

⇒[F v (F v T)]>(T v T)

⇒F v T

⇒T

To know more about truth value visit: brainly.com/question/18994288

#SPJ4

(b) Work out the value of 52 + 23

Answers

To find the sum of 52 + 23 is the value is worked to be 75

What is addition in math ?

Combining things and counting them as one big group is done through addition.

In math, addition is the process of adding two or more integers together.

Addends are the numbers that are added, and the outcome of the operation, or the final response, is referred to as the sum.

How to find the value of 52 + 23

In this problem the addends include

52 and23

The applying the addition operation

= 52 + 23

= 45

The sum is solved to be 75

Learn more on addition at:

https://brainly.com/question/20460320

#SPJ1

Michael finished â…" of a bag of candy in 3 days. at this rate, how long will it take him to eat the entire bag of candy?

Answers

Answer:

3 days.

Step-by-step explanation:

The first sentence states that Michael ate a whole bag in 3 days.  That's how long it will rtake him to eat a bag of candy, assuming it is the same size and tastiness as the first.

How do you solve 14p−8=22+20p ?

Answers

The value of p is -5

Simply use cross multiplication :

The process of multiplying numbers in the shape of a fraction is called cross multiplication. Cross multiplying, also known as cross multiplication, is the process of multiplying the numerator of one fraction by the denominator of the other fraction on the other side of an equal symbol. Cross multiplication is a method for comparing fractions.

Both fractions with like and unlike parts are multiplied across. When employing the cross-multiplication procedure, we multiply the denominators as well as the numerators when a fraction is dissimilar, or when the denominators of two fractions are not alike.

[tex]14p-8=22+20p\\or, 14p-20p=22+8\\or, -6p=30\\or, p=-\frac{30}{6} \\or, p= -5[/tex]

To learn more about cross multiplication visit: brainly.com/question/29190202

#SPJ4

simplify. express your answer using positive exponents. (2c7)(9c)

Answers

The simplified form of the given expression, (2c7)(9c), is 18c⁸

Simplifying an expression

From the question, we are to simplify the given expression
The given expression is

(2c7)(9c)

First, we will write the expression properly

The given expression written properly is

(2c⁷)(9c)

Now, we will simplify the expression

Simplifying the expression

(2c⁷)(9c)

Multiply

2c⁷ × 9c

Collect like terms

2×9 × c⁷ × c

18 × c⁷⁺¹

18 × c⁸

18c⁸

Hence, the expression is 18c⁸

Learn more on Simplifying an expression here: https://brainly.com/question/1280754

#SPJ1

How do I use DeMoivre's theorem to find (1+i)^5?

Answers

The value of (1 + i)^5 is -2 * 2^1.5 * (1 + i). De Moivre's describes how the power of a complex number can be calculated using the properties of its modulus and argument.

De Moivre's theorem states that for any complex number z and any integer n, we have (z^n) = (r^n)(cos(nθ) + i * sin(nθ)), where r is the magnitude of z and θ is the angle that z makes with the positive real axis in the complex plane. Using this theorem, we can easily find the fifth power of 1+i as follows:

First, we need to express 1+i in polar form, which is given by z = r * cis(θ), where r is the magnitude of z and cis(θ) is the complex number with magnitude 1 and angle θ in the complex plane. In this case, we have z = 1+i = sqrt(2) * cis(π/4), where sqrt(2) is the magnitude of 1+i and cis(π/4) is the complex number with magnitude 1 and angle π/4 in the complex plane.

Next, we substitute this expression for z into the formula for (z^n) given by De Moivre's theorem, which gives us

(1 + i)^5 = √2^5 * (cos(5 * 45) + i * sin(5 * 45))

        = 2^2.5 * (cos(225) + i * sin(225))

(1 + i)^5 = 2^2.5 * (-cos(45) + i * -sin(45))

        = 2^2.5 * (-1 + i * -1)

        = -2 * 2^1.5 * (1 + i)

Therefore, the value of (1 + i)^5 is -2 * 2^1.5 * (1 + i).

Learn more about DeMoivre's theorem, here https://brainly.com/question/28035659

#SPJ4

an engineering research center claims that through the use of a new computer control system, automo- biles should achieve, on average, an additional 3 miles per gallon of gas. a random sample of 100 automo- biles was used to evaluate this product. the sample mean increase in miles per gallon achieved was 2.4, and the sample standard deviation was 1.8 miles per gallon. test the hypothesis that the population mean is at least 3 miles per gallon. find the p-value of this test, and interpret your findings.

Answers

The test is proved that hypothesis that the population mean is atleast 3-miles per gallon.

What is hypothesis?

A hypothesis is the proposed explanation for any kind of  phenomenon.

So here are the values of X  BAR i=2.4. S is 1.8.

Our sample n =100.

The null hypothesis here is that mu is greater than or equal to 3.

Against the alternative hypothesis that  is less than three. Now the calculated value for the test statistic is going to be the  equal to X bar is in (-)  knots. That's 2.4 -3. divided by S over  2^2 of end. So 1.8 divided by the square root of the  100 gives us negative 3.33. So we can refer to that box of the T distribution and we are  get the value. The p value for the test is going to be less than 0.5. Therefore we have the  strong evidence that the not hypothesis is going to be the  read checked it.  So  therefore we can reject to the  null hypothesis and then it can accept the alternative by the  hypothesis that  is less than three. Where it is  here is the mean of the population, the noting the average increase per gallon.

To know more about the hypothesis click-

https://brainly.com/question/606806

#SPJ1

Meghan is a graphic designer and is trying to make a logo for the Victory Vegetables company.

First, she draws an obtuse triangle with her graphing program. Then, she duplicates the triangle, pastes a copy back in, and flips it over, as shown in the diagram.

What is the value of x?

x = ___

Answers

The value of the angle x in the triangle is; x = 70°

What is the value of the angle at a point?

Looking at the given image, it is clear that both triangles are similar triangles. This is because we see that after the duplicate, 2 sides apiece are equal.

Thus, the third angle bordering the center of the triangle with one angle as 15° is;

y = 180 - (15 + 20)

Since sum of angles in a triangle equals 180 degrees.

y = 180 - 35

y = 145°

Similarly,

z = 180 - (20 + 15)

z = 180 - 35

z = 145°

Now, sum of angles at a point is 360 degrees. Thus;

x = 360 - (145 - 145)

x = 70°

Read more about Angle at a Point at; https://brainly.com/question/25716982

#SPJ1

what is the x intercept of the equation 3x-3y=21

Answers

x = 7x + y

Move all terms that don't contain x to the right side and solve

Sydney invests $100 every month into an account that pays 0.8% annual interest, compounded monthly. Benny invests $80 every month into an account that pays 2.2% interest, compounded monthly. Determine the amount In Sydney's account after l0 years.

Answers

[tex]~~~~~~~~~~~~\stackrel{\textit{\LARGE Sydney}}{\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}}}[/tex]

[tex]A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right) \\\\ \qquad \begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill & 100\\ r=rate\to 0.8\%\to \frac{0.8}{100}\dotfill &0.008\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &10 \end{cases}[/tex]

[tex]A=100\left[ \cfrac{\left( 1+\frac{0.008}{12} \right)^{12 \cdot 10}-1}{\frac{0.008}{12}} \right]\left(1+\frac{0.008}{12}\right) \\\\\\ A=100\left[ \cfrac{\left( \frac{1501}{1500} \right)^{120}-1}{\frac{1}{500}} \right]\left(\frac{1501}{1500}\right) \implies {\Large \begin{array}{llll} A \approx 12497.05 \end{array}}[/tex]

Five More Than One Third Of A Number Is Negative 2 What Is The Number?

Answers

Answer:

n = -21

Step-by-step explanation:

Five More Than One Third Of A Number Is Negative 2 What Is The Number?

1/3n + 5 = -2

subtract 5 from both sides:

1/3n + 5 - 5 = -2 - 5

1/3n = -7

multiply both sides by 3:

3(1/3n) = 3(-7)

n = -21

james rode his bike 7 yards in 3 seconds. set up the table with the information you know. yards seconds 7 3 you got it! what is the missing value? solve on paper if you need to. yards seconds 7 3 120

Answers

The missing value after solving is 280 seconds .

Given :

james rode his bike 7 yards in 3 seconds. set up the table with the information you know. yards seconds 7 3 you got it!

Seconds :

The second ( s or sec ) is the International System of Units ( SI ) unit of time measurement.

Table :

yards           seconds

7                     3

120                 x

we need to find x :

1 yard = 7/3 seconds

120 yards = 7 / 3 * 120 seconds

= 7 / 1 * 40 seconds

= 7 * 40 seconds

= 280 seconds.

Learn more about the missing value here:

https://brainly.com/question/16579022

#SPJ4

She makes $3,200 as a base salary each month. She gets 8.5% of everything she sells. If she sold $60,000 worth of items this month, what are her earnings for the month, including commission?

Answers

Her total salary for the month would be $8300.

What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

We have a women with $3,200 as a base salary each month. She gets 8.5% of everything she sells. If she sold $60,000 worth of items this month.

Assume her total salary to be y = $(3200 + x). Then, we can write -

y = $(3200 + {8.5/100} x 60000}

y = $(3200 + 5100)

y = $8300

Therefore, her total salary for the month would be $8300.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ1

in a right triangele, the measure of one actue angle is 4 times the difference of the measure of other actue angle and 5

Answers

28° & 62° are the measure of each acute angle.

What is acute angle and example?

Acute angles are defined as those that are less than 90 degrees. Compared to the right angle, this angle is smaller (which is equal to 90 degrees).

            For instance, acute angles include 30°, 45°, 60°, 75°, 33°, 55°, and 85°, among others.

In a right triangle we know that one of the angles is 90°. We also know that the 3 angles must add up to 180°.

Let x = acute angle 1

     y = acute angle 2

We have 2 unknowns, therefore we must have 2 equations to solve this.

Eq. I                                                       Eq. II

90 + x + y = 180                                  

x + y = 180 - 90                                    

x + y = 90

Using the value for x in terms of y from Eq. II in Eq. I we can solve for y:

x = 2y + 6                

x + y = 90                

2y + 6 + y =90        

3y = 90 - 6                

3y = 84                  

y = 84/3                    

y = 28                      

Using this value for y in Eq. II we can solve for x:

x = 2y + 6                

x = 2(28) + 6            

x = 56 + 6              

x = 62                      

Learn more about acute angle

brainly.com/question/2761036

#SPJ4

The complete question is -

In a right triangle, the measure of one acute angle is 2 times the sum of the measure of the other acute angle and 3. Find the measure of each acute angle

Figure c is similar by

Answers

In the figure of triangles given figure C is not similar

Not similar

What are similar triangles?

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

In figure  C no information is given about the angles hence they are not similar.

Figure B is similar by Side - Side - Side (SSS) and shows a proportion of 2

Figure D is similar by Side - Angle - Side (SAS), the include angle here are equal by vertical angle theorem

Learn more about similar triangles here:

https://brainly.com/question/29333623

#SPJ1

Two planes are flying at altitude of 15,000 feet. The angle of depression from one plane to the airport is 70°, the angle of depression from one plane to the airport is 60°. Which plane is closer to the airport and by how much?

Answers

The plane with an angle of depression of 70° is closer to the airport.

The distance between the plane and the airport is 15957 feet.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Two planes are flying at an altitude of 15,000 feet.

The angle of depression from one plane to the airport is 70°.

This means,

The distance of the plane from the airport.

Sin 70 = 15,000 / Distance

Distance = 15,000/ sin 70 = 15,000 / 0.94 = 15957 feet _____(1)

The angle of depression from one plane to the airport is 60°.

The distance of the plane from the airport.

Sin 60 = 15,000 / Distance

Distance = 15,000/ sin 60 = 15,000 / 0.87 = 17241 feet _____(2)

Thus,

The plane with an angle of depression of 70° is closer to the airport.

The distance between the plane and the airport is 15957 feet.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ1

Find the solution to the system of equations.

y=3x-4
y=-2x+6

Answers

Answer:

Step-by-step explanation:

There a few ways to solve this system. Since each equation is set equal to y on the left side, that means that we can set the right side of each equation to be equal to each other. So,

3x - 4 = -2x + 6

This can now be solved for x:

5x - 4 = 6 (added 2x to each side)

5x = 10 (added 4 to each side)

x = 2 (divided each side by 5)

Now that we know what x must be, we can plug 5 in for x in either of the equations and solve for y:

y = 3(5) - 4

y = 6 -4

y=2

This means y should be 2. To make sure this answer is correct, we can plug our y and x numbers into the OTHER equation to see if it makes sense:

(2) = -2(2) + 6

2 = -4 + 6

2=2

That looks right, so x = 2 and y = 2

Fred made a $1,500 down payment on a 36-month lease contract. His monthly payments were $290.50. At the end of the lease he was charged $0.18 per mile for 1,200 excess miles driven. What was Fred's total cost of leasing? PLEASE SHOW WORK

Answers

The total cost of the monthly payments is $290.50 * 36 months = $10,478.

The total cost of the excess miles is $0.18/mile * 1,200 miles = $216.

The total cost of leasing is the sum of the down payment, the monthly payments, and the excess mileage charge: $1,500 + $10,478 + $216 = $11,194.

Therefore, Fred's total cost of leasing was $11,194.

I NEED HELP ASAP!!
Alex rides his bike to visit two
friends and returned home. Interpret the graph to answer questions about his activities.

1. How long did it take Alec to get to his friends house?

2. How long did he stay at his first friends house?

3. How long did it take alec ti ride his bike from his first friends house to his second friends house?

4. How much longer did alec stay at his first friends house than at his second friends house?

5. In which parts of the graph is alec riding his bike toward his home?

6. In which parts of the graph is alec traveling the fastest?

7. How long was alec away from his house?

Answers

Answer:

1 hour

Step-by-step explanation:

Answer: 1hour

Step-by-step explanation: lol

A vacant lot is assessed at $36,000. What property tax must be paid on the lot if the tax rate is 2.4 cents per $1? PLEASE SHOW WORK

Answers

Answer:

The property tax that must be paid on the lot is $864.

Step-by-step explanation:

The assessment value of the lot is $36,000, and the tax rate is 2.4 cents per $1, or 0.024. So the total amount of tax due is calculated as follows:

$36,000 * 0.024 = $<<36000*0.024=864>>864

10. A statue casts a shadow 30 feet long. At the same time, a person who is 5 feet tall casts a
shadow that is 6 ft long. How tall is the statue?
A. 30 ft
B. 25 ft
C. 18 ft
D.12.5 ft

Answers

It’s b trust me. I’m in 8th grade

! the lengths of the sides of a triangle are 8, 8, and 3. what is the measure of the smallest angle in the triangle?

and how did we find it ?

Answers

The measure of the smallest angle in the triangle is 10.8°

What is an isosceles triangle?

An isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length.

The corresponding angles of the two equal lengths in an isosceles triangle are equal. This means that if we represent the two angles by x and the the third angle by y , then 2x+y = 180.

using cosine rule c² = a²+b²+2abcosC

a = 8, b = 8 and c = 3

3² = 8²+8²+2×8×8cos C

9 = 64+64+128cos C

128cosC = 9- 128

cos C = -119/128

cos C = -0.93

C = cos^-1 0.93

C = 158.4°

therefore 158.4 + A+ B = 180

A= B

2A = 180-158.4

2A = 21.6

A = 21.6/2

A = 10.8°

therefore A = B = 10.8°. This means the value of the smallest angle is 10.8°

learn more about Isosceles triangle from

https://brainly.com/question/1475130

#SPJ1

Total aid
(9
10)
In a library, the ratio of students with younger siblings to those without younger
siblings was 4:3, There were 42 students without younger siblings. Let y be the
number of students with younger siblings. Set up a proportion to solve for y. Then,
find the total number of students.

Answers

Total number of students is 70.

What do you mean by ratio?

A ratio is a comparison of two quantities. The ratio of a to b can also be expressed as:  a:b

A ratio is the equality of two ratios. Write ratios to help you find equivalent ratios and solve for unknown quantities.

Two common types of relationships are part-to-part and part-to-whole.

In a library, the ratio of students with younger siblings to those without younger siblings was 4:3

There were 42 students without younger siblings.

As the given ratio is 4:3

So, let the number of students with younger siblings  = 4x

let the number of students without younger siblings = 3x

There were 42 students without younger siblings.

3x = 42

x = 42/3

x = 14

Let y be the number of students with younger siblings

y = 4x = 4(14) = 56

Total students = students with younger siblings + students without younger siblings

= 14 + 56

= 70

Therefore, total number of students is 70.

To learn more about the ratio from th given link.

https://brainly.com/question/12024093

#SPJ1

I have to plot 5 points, what 5 points do I plot

Answers

Answer:

Below

Step-by-step explanation:

Any 5 points you want

pick out 5 values of x      say     -4    -1     0      3   7  

  and calculate the value of the corresponding 'y' using the equation....then plot those points

last year, jarod left a job that pays $60,000 to run his own bike-repair shop. jarod’s shop charges $65 for a repair, and last year the shop performed 3,000 repairs. jarod’s production costs for the year included rent, wages, and equipment. jarod spent $50,000 on rent and $100,000 on wages for his employees. jarod keeps whatever profit the shop earns but does not pay himself an official wage. jarod used $20,000 of his savings to buy a machine for the business. his savings were earning an annual interest rate of 5 percent.

Answers

Answer: Accounting profit=$90,000 and Economic profit loss= $28,500

Step-by-step explanation:

Accounting profit = Total revenue - Explicit costs Accounting profit = ($65 × 4,000) - ($50,000 + $120,000) Accounting profit = $260,000 - $170,000 Accounting profit = $90,000

Economic profit = Total revenue - (Explicit costs + Implicit costs) Economic profit = ($65 × 4,000) - ($50,000 + $120,000 + Forgone interest on savings + Forgone wages) Economic profit = ($65 × 4,000) - [$50,000 + $120,000 + (0.06 x $25,000) + $60,000] Economic profit (loss) = $28,500

what is the area of florida rounded to the nearest tenth?

what is the area of south carolina rounded to the nearest ten?

what is the area of georgia rounded to the nearest square mile?

Answers

ur not the smartest person

65,760,000

solve for x on a right triangle
A= 18x-2 B= 20 C= ?

Answers

The value of x will be;

⇒ x = 4

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

On a Right triangle,

⇒ A = 18x - 2 , B = 20 , C = ?

Now,

Since, On a Right triangle,

One angle is at 90 degree.

Hence, C = 90°

Since,  A = 18x - 2 , B = 20 , C = 90°

Hence, We get;

⇒ 18x - 2 + 20 + 90 = 180

⇒ 18x - 2 + 110 = 180

⇒ 18x + 108 = 180

⇒ 18x = 180 - 108

⇒ 18x = 72

⇒ x = 4

Thus, The value of x will be;

⇒ x = 4

Learn more about the triangle visit:

https://brainly.com/question/13569154

#SPJ1

Other Questions
the men's warehouse charges 1.6 percent interest per month. what rate of interest are its credit customers actually paying? Income Statement with Variances Alvarado Company produces a product that requires 3.0 standard pounds per unit at a standard price of $6.00 per pound. The company used 23,900 pounds to produce 8,000 units, which were purchased at $6.20 per pound. Each unit requires 7.5 standard direct labor hours per unit at a standard hourly rate of $22.50 per hour. For the 8,000 units produced, 60,200 hours were needed and employees were paid an hourly rate of $21.95 per hour. The company uses a standard variable overhead cost per unit of $1.45 per direct labor hour. Actual variable factory overhead was $85,900. The company uses a standard fixed overhead cost per unit of $2.00 per direct labor hour at 55,000 hours, which is 100% of normal capacity. Prepare an income statement through gross profit for Alvarado Company for the month ended March 31. Assume Alvarado sold 8,000 units at $250 per unit. For those boxes in which you must enter subtractive or negative numbers use a minus sign. If an amount box does not require an entry, leave it blank. Alvarado Company Income Statement Through Gross Profit For the Month Ended March 31 which of the following genes is associated with mutations that increase human adaption to high altitude? (3 pts) The following is one Lewis structure for the SeO42- ion (selenate ion): Draw three ofthe resonance structures for this ion (there are more than three possibilities). '0: 0-Se-o: 'O: Suppose the value of b is false and the value of x is 0. What is the value of each of the following expressions? a. b && x = = 0 b. b || x = = 0 c. !b && x = = 0 d. !b || x = = 0 e. b && x != 0 A person walks into a room that has, on opposite walls, two plane mirrors producing multiple images. Find the distances from the person to the first three images seen in the left-hand mirror when the person is 5.00 ft from the mirror on the left wall and 10.0 ft from the mirror on the right wall. Compared to saturated fatty acids, unsaturated fatty acids have O lower melting points. Ohigher melting points. O greater intermolecular attraction. O shorter carbon chains. O longer carbon chains. in the management in action case, what contemporary control method was utilized to help shale oil companies optimize drilling practices? multiple choice employee tracking and monitoring lean six sigma six sigma artificial intelligence (ai) Which function is represented in the graph? A.) y = sinxB.) y = cosxC.) y = sin-1xD.) y = cos-1x a survey was taken of a random sampling of residents of new york city and los angeles to compare how many of them own a car. a 4-column table with 3 rows. the first column has no label with entries l a residents, n y c residents, total. the second column is labeled own a car with entries 3,251; 1,478, 4,729. the third column is labeled do not own a car with entries 869; 6,182; 7,051. the fourth column is labeled total with entries 4,120; 7,660; 11,780. which statement about the two-way frequency table is true? The Agreement to Amend\Extend is used to change the terms of: if you know the car's potential energy and its kinetic energy, you can determine its mechanical energy through the formula . what is the energy in joules of one photon of x-ray radiation with a wavelength of 0.120 nm? which of the following observations would cast doubt on the top-down hypothesis explaining population cycles in snowshoe hares. group of answer choices hare populations stop cycling and remain stable when give supplemental food hare populations remain cycling in abundance in the absence of predators hare populations increase in the absence of predators hare populations stop cycling and remain stable in the absence of predators transcription and translation of a protein which is composed of 630 nucleotides would form___amino acids a. 1890 b. 70 c. 210 d. 630 3) A jewelry store sells a popular line of charmbracelets. Each bracelet includes one chain and anumber of charms selected by the customer. Theprice of the chain is 20 dollars, and each charm costsc dollars. Write an expression that represents thescenario.4 you have invented a time machine! you go back in time to the carboniferous period and see some medium-sized vertebrates roaming around on land eating plant material. considering the time period, these are most likely to be synapsids . you move on in time to the late permian and you happen to land on the laurasia landmass (the continents of the northern hemisphere). you are in a wet, swampy like environment. you run across some large vertebrates that look lizard-like. considering the time period and location, these are likely to be Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine. (cos^4 (x) sin^4 (x)) Utilise le,la,l',lui or leur Expansionary monetary policy can have immediate real short-run effects; initially, no prices have adjusted. But as prices adjust in the long run:a. the real impact of monetary policy is multiplied.b. the real impact of monetary policy is unknown.c. the real impact of monetary policy is cut in half.d. the real impact of monetary policy is negative.e. the real impact of monetary policy dissipates completely.