PLS HELPPPPP!!!!!!!!! DUE TODAY!!!!!! 100 points and brainliest if correct!!!! pls answer all of them!
Answer and solve the proportions then the percent equation.
what is the percent equation for the following:
6.5% of $400 is
what number?
12.5% of $100 is
what number?
130 is what percent
of 650?
$5.40 is what
percent of $4.50?
$8.40 is what
percent of $28?
56% of what
number is $21.84?
$495 is 55% of
what number?
144 is what percent
of 240?
Answer:The first question requires the calculation of the 6.5% of $400, which is equal to $26.
The second question requires the calculation of 12.5% of $100, which is equal to $12.50.
For the third question, 130 is 20% of 650.
For the fourth question, $5.40 is 120% of $4.50.
For the fifth question, $8.40 is 30% of $28.
For the sixth question, 56% of 39 is $21.84
For the seventh question, $495 is 55% of $900.
For the last question, 144 is 60% of 240.
Step-by-step explanation:
Answer:
Step-by-step explanation:
26
12.5
20%
120%
30%
12.23
900
60%
What is the value of x? enter your answer, as a decimal, in the box. Do not round your answer. X= a right triangle with vertices labeled as a, b, and c. Side c b is the base and the top vertex is a. Side a b contains a midpoint d. A line segment drawn from c to d bisects angle a c b into two parts labeled as a c d and b c d. Angles a c d and b c d are marked with single arc. Side a c is labeled as 4. Base c b is labeled as 7. 5. Segment a d is labeled as 3. Segment b d is labeled as x.
In right triangle ACB with CD bisects angle ACB and intersects at midpoint of AB at point D the value of x is equal to 5.625.
In right triangle ABC,
BC is the base.
Midpoint of AB is D.
CD bisects ACB.
Measure of ∠ACD = Measure of ∠BCD
AC = 4
BC = 7.5
AD = 3
BD = x
CD bisects angle ACB and intersect at midpoint of AB at point D.
This implies
BD / AD = BC / AC
⇒x / 3 = 7.5 / 4
⇒ x = ( 7.5 × 3 ) / 4
⇒ x = 22.5 / 4
⇒ x = 5.625
Therefore, the value of x in the right triangle ACB with given dimensions is equal to 5.625.
The above question is incomplete , the complete question is :
What is the value of x? Enter your answer, as a decimal, in the box. x= A right triangle with vertices labeled as A, B, and C. Side C B is the base and the top vertex is A. Side A B contains a midpoint D. A line segment drawn from C to D bisects angle A C B into two parts labeled as A C D and B C D. Angles A C D and B C D are marked with single arc. Side A C is labeled as 4. Base C B is labeled as 7.5. Segment A D is labeled as 3. Segment B D is labeled as x.
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Need help with this. Keep getting answer wrong
Answer:
see image
Step-by-step explanation:
First of all, the problem might be that we need to set this up differently than how it is written.
"Subtract THIS from THAT" means that you have to put the second thing first and minus the first thing:
THAT - THIS
Next, the minus in the middle has to go to all three of the terms in the second part. This is going to change the sign of all three parts. See image.
Last, hopefully fraction addition with positive and negative signs isn't too terribly confusing.
1/5 - 2/5 is -1/5.
And -1/4 - 1/4 is -2/4, which is -1/2.
see image.
Make sure the y^2 and the y look like they are next to the whole fraction and are not on the bottom of the fraction.
For a certain company, the cost function for producing x
items is C(x)=30x+200
and the revenue function for selling x
items is R(x)=−0.5(x−80)2+3,200
. The maximum capacity of the company is 130
items.
The profit function P(x)
is the revenue function R(x)
(how much it takes in) minus the cost function C(x)
(how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!
Answers to some of the questions are given below so that you can check your work.
Assuming that the company sells all that it produces, what is the profit function?
P(x)=
Preview Change entry mode .
Hint: Profit = Revenue - Cost as we examined in Discussion 3.
What is the domain of P(x)
?
Hint: Does calculating P(x)
make sense when x=−10
or x=1,000
?
The company can choose to produce either 50
or 60
items. What is their profit for each case, and which level of production should they choose?
Profit when producing 50
items =
Number
Profit when producing 60
items =
Number
Can you explain, from our model, why the company makes less profit when producing 10 more units?
Answer: The profit function P(x) can be found by subtracting the cost function C(x) from the revenue function R(x), so:
P(x) = R(x) - C(x) = (-0.5(x-80)^2 + 3,200) - (30x + 200)
The domain of P(x) is the set of all possible values of x for which the profit calculation makes sense. In this case, the company has a maximum capacity of 130 items, so the domain of P(x) is 0 <= x <= 130.
To calculate the profit when producing 50 items and 60 items, we simply plug in these values for x in the profit function:
Profit when producing 50 items = P(50) = (-0.5(50-80)^2 + 3,200) - (30 * 50 + 200) = $2350
Profit when producing 60 items = P(60) = (-0.5(60-80)^2 + 3,200) - (30 * 60 + 200) = $2280
Since the profit is higher for producing 50 items, the company should choose to produce 50 items.
From our model, we can see that as the production increases, the cost also increases linearly with a slope of 30, while the revenue increases parabolically but with a negative slope, meaning that after reaching a certain point, the increase in revenue becomes slower compared to the increase in cost. This is why the profit decreases as the production increases, and therefore the company makes less profit when producing 10 more units.
Step-by-step explanation:
5. Abbey and Blanca are playing games at the arcade in the mall. Abbey has $20 and is playing a
game that costs 50 cents per game. Blanca arrived at the arcade with $22 and is playing a game that
costs 75 cents per game.
(a) Create two linear equations below that give the amount that each girl has left as a function of the
number of games they have played.
Let the number of games played = x.
A=
B =
(b) After how many games will the two girls have the same amount of money left?
(c) How much money do they have at this point?
Answer:
A = 0.50x+20
B= 0.75x+22
4 games
$19
Step-by-step explanation:
For abbey, the 20 dollars she starts with is the initial value. the 50 cents per game would be the constant rate of change/slope. So, the equation(y=mx+b) would be A = 0.50x + 20. For Bianca, the 22 dollars she starts with is her initial value. the 75 centers per game would be the constant rate of change/slope. So, the equation(y=mx+b) would be B = 0.75x + 22.
We can find out when they will have the same amount of money left by making two small tables -> one for abbey and one for Bianca.
Abbey: (the number is the number of games and the corresponding value next to it is the amount of money left ---- its kind of hard to make a table on BRAINLY)
21.502019.501918.50Bianca: (the number is the number of games and the corresponding value next to it is the amount of money left ---- its kind of hard to make a table on BRAINLY)
21.2520.519.751918.25For both girls after four games, they have the same amount of money- $19.
A function is given.
f(x) = x3 − 7x2; x = 0, x = 10
(a) Determine the net change between the given values of the variable.
(b) Determine the average rate of change between the given values of the variable.
On solving the provided question, we can say that the function is
[tex]f(z) = 3 - 4z^2[/tex] and f(-2) = -13 and f(0) = 3.
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
the function is
[tex]f(z) = 3 - 4z^2[/tex]
[tex]f(-2) = 3 - 4(-2)^2[/tex]
= 3 - 4(4)
= 3 - 16
=-13
[tex]f(0) = 3 - 4(0)^2[/tex]
= 3 - 4(0)
= 3 - 0
= 3
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The depth of a certain part of the Earth's seabed is 36,078 feet. How deep is it in (a) fathoms ? (b) leagues (marine)?
Step-by-step explanation:
(a) To convert feet to fathoms, we can use the conversion factor 1 fathom = 6 feet. Hence, we can divide the depth in feet by 6 to find the depth in fathoms:
36,078 feet / 6 feet/fathom = 6,013 fathoms
So the depth of the seabed is 6,013 fathoms.
(b) To convert feet to leagues (marine), we can use the conversion factor 1 league (marine) = 5,556 feet. Hence, we can divide the depth in feet by 5,556 to find the depth in leagues (marine):
36,078 feet / 5,556 feet/league (marine) = 6.52 leagues (marine)
So the depth of the seabed is approximately 6.52 leagues (marine).
Find an equation of the plane.
the plane that contains the line
x = 2 + t,
y = 4 − t,
z = 3 − 3t
and is parallel to the plane
5x + 2y + z = 3
The equation of the plane containing the line x = 2 + t, y = 4 − t, z = 3 − 3t and is parallel to the plane 5x + 2y + z = 3 is 5x + 2y + z = 21
What is a plane?
Any flat, three-dimensional, infinitely long surface is considered to be a plane. It can alternatively be thought of as the two-dimensional equivalent of a point with zero dimensions, a line with one dimension, and a space with three dimensions.
Given that, a plane is containing the line x = 2 + t, y = 4 − t, z = 3 − 3t and is parallel to the plane 5x + 2y + z = 3
Any plan e parallel to the plane 5x + 2y + z = 3 , should be in the form of 5x + 2y + z = k
Now, this plane should contain the line mentioned above
On substituting the terms,
5(2 + t) + 2(4 - t) + (3 - 3t) = k
10 + 5t + 8 - 2t + 3 -3t = k
21 = k
Therefore, The equation of the required plane is 5x + 2y + z = 21
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What is the y-intercept of y = x^2 - 3x + 2 by completed square form?
y-intercept(s): (0,−2)
Answer:
2
Step-by-step explanation:
The [tex]x^{2}[/tex] and x terms are made to follow the sequence:
[tex][a-b]^{2} =a^{2} -2ab + b^{2}[/tex]
Therefore the [tex]b^{2}[/tex] term has to be added to complete the [tex][a -b]^{2}[/tex] sequence, but at the same time the [tex]b^{2}[/tex] term has to be balanced as it is not originally present in the equation:
[tex]y = x^{2} - 3x + 2 = [(x)^{2} - 2(x)(\frac{3}{2}) + (\frac{3}{2})^{2}] + 2 - (\frac{3}{2})^{2}[/tex]
[tex]= [x - \frac{3}{2}]^{2} + 2 - \frac{9}{4}[/tex]
= [tex][x - \frac{3}{2}]^{2} + \frac{8}{4} - \frac{9}{4}[/tex]
= [tex][x- \frac{3}{2}]^{2} \frac{+ 8-9}{4}[/tex]
= [tex][x-\frac{3}{2}]^{2} -\frac{1}{4}[/tex]
y-intercept is the y-value obtained when x = 0 in the equation:
[tex]= [0 - \frac{3}{2}]^{2} -\frac{1}{4}[/tex]
= [tex](-\frac{3}{2})^{2} -\frac{1}{4}[/tex]
= [tex]\frac{9}{4} - \frac{1}{4}[/tex]
= [tex]\frac{8}{4}[/tex]
= 2
For four months, you have saved $25 per month.
You now have $175 in your savings account.
a. Use your result from Exploration 2 to
write an equation that represents the
balance A after t months.
Answer:
A=25t.
Step-by-step explanation:
..........................
A statistics professor gives a survey to each of the 10 students in an introductory statistics course. The survey asks the students how many text messages they think they sent yesterday. The data are included below. Use a TI-83, TI-83 Plus, or TI-84 to calculate the population standard deviation and the population variance. Round your answers to one decimal place . Texts sent yesterday 29 211 130 21 21 19 67 60 O Help Copy to Clipboard Open Provide your answer below: Standard Deviation Variance- FEEDBACK Content attribution
Using a TI-83, TI-83 Plus, or TI-84 Population standard deviation is 56.4 and Population variance is 3178.5 .
To calculate the population standard deviation and variance using a TI-83, TI-83 Plus, or TI-84 calculator, we can use the following steps:
Enter the data into a list on the calculator. To do this, press the STAT key, then select Edit. Enter the data into L1.
Calculate the sample mean by pressing STAT, then CALC, then 1-Var Stats. Make sure L1 is selected as the list, then press ENTER.
Find the population variance by pressing STAT, then CALC, then 2-Var Stats. Make sure L1 is selected as the list, then press ENTER. The variance will be displayed as sX².
Take the square root of the population variance to find the population standard deviation. To do this, press the MATH key, then select PRB, then select 5:√(. Enter the population variance, then press ENTER.
Using this method, we find that the population standard deviation is approximately 56.4 and the population variance is approximately 3178.5.
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Complete question is:
A statistics professor gives a survey to each of the 10 students in an introductory statistics course. The survey asks the students how many text messages they think they sent yesterday. The data are included below. Use a TI-83, TI-83 Plus, or TI-84 to calculate the population standard deviation and the population variance. Round your answers to one decimal place .
Texts sent yesterday: 29 211 130 21 5 21 19 67 60 95
five times the sum of a number and two is nineteen less than six times the number.
Answer:
The number is 29.
Step-by-step explanation:
"five times the sum of a number and two" can be represented as 5(x + 2), where x is the number. "nineteen less than six times the number" is the same as 6x - 19. The word "is" determines that these two parts are equal. So, 5(x + 2) = 6x - 19.
Solve:
5x + 10 = 6x - 19
10 = x - 19
x = 29
Check:
5 * (29 + 2) = 5 * 31 = 155
(6 * 29) - 19 = 155
155 = 155
Find the equation of the line containing the points (-3, 11)
and (-4,1).
Write the equation in slope-intercept form.
The equation in slope-intercept form is y = 10x + 41.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (-3, -4).
Points on y-axis = (11, 1).
At point (-3, 11), a linear equation of this line can be calculated in slope-intercept form as follows:
y - 11 = (1 - 11)/(-4 + 3)(x + 3)
Y - 11 = 10(x + 3)
y = 10x + 30 + 11
y = 10x + 41.
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XIII.4.11. Află două numere naturale care îndeplinesc simultan condiţiile:
a) diferenţa lor este egală cu sfertul sumei lor;
b) diferenţa dintre suma şi diferenţa lor este 108. VA ROG RAPIDDD DAU COROANA
Answer:B
Step-by-step explanation:
One is looking to invest 10 thousand dollars among 5 opportunities. Each investment should be integral in units of 500 dollars ($10K = 20 units). A portfolio corresponds to an investment policy. For example, (5,6,3,2,4) is a portfolio that invests 5 units in the first opportunity, 6 units in the second, 3 units in the third, 2 units in the fourth, and 4 units in the fifth opportunity. The investor has to invest all $10K, and at least one unit in each opportunity. The total number of portfolios is:
There are a total of 13 different ornaments to choose from, with 3 types of ornaments.
What is total number?Total number is a term used to describe the sum of all the values or items within a set. It is usually used to calculate an aggregate or grand total, such as the sum of all the numbers in a list or the total number of people in a population. Total number can also be used to describe the absolute value or quantity of something, such as the total number of days in a year.
When Cherry chooses at least 1 of each type, she will have to select a total of 5 ornaments. This means that Cherry can make a total of 13C5 (13 choose 5) different selections. This is equal to 715 different selections.
This can also be calculated by first selecting 1 ornament from each of the 3 types, which gives 3 different selections. Then, for the 2 remaining ornaments, Cherry can select any of the 13 ornaments, giving a total of 3 x 13 = 39 different selections. In total, this gives 3 + 39 = 42 different selections.
To conclude, Cherry can make a total of 715 different selections when she chooses at least 1 of each type of ornament.
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A student is trying to prove that the triangle XAB is similar to triangle XYZ.
Answer:
Below
Step-by-step explanation:
See image
L side goes from 3 units to 6 units so scale factor is 2
Find R. Round to the nearest tenth.
Answer:
letter R rounded off to the nearest tenth is 40
15 is the answer because this is the nearest
If {={ a, b, c, d, e } A={ a, c, e} B={ b, e }. List the members of the following set. (a) A' (b) B' (c) A'uB (d) AuB' (e) A'nB (f) AnB' (g) A'uA (h) B'nB (I) AuB (j) A'uB' (k) [AnB]' (l) A'nB'
Answer:
The complement of a set A, denoted A', is the set of all elements that are not in A. The complement of B, denoted B', is the set of all elements that are not in B.
Step-by-step explanation:
(a) A' = {b, d}
(b) B' = {a, c, d}
(c) A' U B = {a, b, c, d, e} (the union of A' and B contains all elements in both sets)
(d) A U B' = {a, b, c, e} (the union of A and B' contains all elements in both sets)
(e) A' n B = {} (the intersection of A' and B is an empty set)
(f) A n B' = {c} (the intersection of A and B' contains all elements that are in A but not in B)
(g) A' U A = {a, b, c, d, e} (the union of A' and A is the universal set, containing all elements)
(h) B' n B = {} (the intersection of B' and B is an empty set)
(i) A U B = {a, b, c, e} (the union of A and B contains all elements in both sets)
(j) A' U B' = {a, b, c, d, e} (the union of A' and B' is the universal set, containing all elements)
(k) [A n B]' = {b, d} (the complement of the intersection of A and B is the union of the complements of A and B)
(l) A' n B' = {} (the intersection of A' and B' is an empty set).
Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ
Question 30
A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 4 digits
long, and that each digit could be a number between 0 and 4. Assume that the hacker makes random
guesses. What is the probability that the hacker guesses the password on his first try? Round to six decimal
places.
Probability:
The probability that the hacker guesses the password on his first try is, 0.001600.
What is probability?Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.
Probability of Event = Favorable Outcomes/Total Outcomes = X/n
The probability of a hacker guessing the correct password on their first try would be 1 in 10,000, since there are a total of 5⁴ possible combinations of 4 digits, each between 0 and 4, inclusive.
The probability can be calculated as:
= 1 / 5⁴
= 1 / 625
= 0.0016
Rounded to six decimal places, the probability is: 0.0016 = 0.001600.
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Organizar la riqueza a través de la pro-
ducción de bienes y servicios es una
característica de la empresa que se
relaciona con su
A) fin lucrativo.
B) fin mercantil.
C) fin económico.
D) responsabilidad social.
E) responsabilidad económica.
Organizar la riqueza a través de la pro- ducción de bienes y servicios es una característica de la empresa que se relaciona con su A) fin lucrativo.
What is the profit about?Las empresas tienen como objetivo principal la maximización de sus ganancias y el crecimiento económico a través de la producción y venta de bienes y servicios. La obtención de ganancias es el fin lucrativo de la empresa y es a través de él que se organiza la riqueza generada por la empresa.
Sin embargo, las empresas también tienen una serie de responsabilidades sociales y éticas, por lo que pueden combinar su fin lucrativo con una cierta responsabilidad social o económica.
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Which of the following equations are nonlinear? (Select all that apply)
Answer:
The 3rd and 6th equations
Step-by-step explanation:
Any equation that has a variable with an exponent is nonlinear and the 3rd and 6th equations follow this requirement.
Amelia and Lucas' son Weights 38.3 pounds. one kilogram is equal to approximately 2.2 pounds Convert their son's weight to kilograms.
Amelia and Lucas' son's weight is 17.41 kilograms.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 hour = 60 minutes
1 km = 1000 m
We have,
Amelia and Lucas' son's Weight = 38.3 pounds.
1 kilogram = 2.2 pounds
Multiply 38.3/2.2 on both sides.
17.41 kilograms = 38.3 pounds
Thus,
Amelia and Lucas' son's weight is 17.41 kilograms.
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Consider the function below.
f(x)=8/x−6
What would be the output if the input is 8?
8/14
8/6
2 1/3
4
The input is 8, the output of the function f(x) would be -5.
What is the function?
Function is a relationship or expression involving one or more variables. It has a set of input and outputs.
Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences. The modern definition of function was first given in 1837 by the German mathematician Peter Dirichlet
To find the output of the function f(x) when x is 8, we substitute x = 8 into the function and simplify:
f(x) = 8/x - 6
f(8) = 8/8 - 6
f(8) = 1 - 6
f(8) = -5
Hence, if the input is 8, the output of the function f(x) would be -5.
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Thomas peters purchased a new suv for $32,984. He received a $2,175 rebate from the car dealer and a $500 rebate from the manufacturer. What is the final price?.
The final price of Thomas Peters' new SUV is $30,309 , can be calculated by subtracting the rebates from the initial cost.
The initial cost of the SUV was $32,984, and he received a $2,175 rebate from the car dealer and a $500 rebate from the manufacturer. So, the final price would be calculated as follows:
Final Price = $32,984 - $2,175 - $500
Final Price = $30,309
Therefore, the final price of Thomas Peters' new SUV is $30,309.
It is important to note that rebates can play a significant role in reducing the cost of a car purchase. In this case, Thomas Peters was able to receive a total of $2,675 in rebates, which reduced the cost of his new SUV by over 8%. This shows that it is often worth the time and effort to research available rebates and incentives when making a car purchase. Additionally, it is also a good idea to negotiate the price with the car dealer, as there may be room for further discounts.
By taking these steps, you may be able to save a significant amount of money on your car purchase and get a better value for your money. Ultimately, it is important to weigh the cost and benefits of each car option to determine the best choice for your needs and budget.
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the company bought $15000 worth of equipment beginnning of year 2018 the equipment is est. to increase in value at a rate of 15.9% per year how many yers, t , after which the value of the company's new equipment will be less than 7500
The number of years, t , after which the value of the company's new equipment will be less than 7500 is 2.64 years
How to determine the valueTo solve this problem, we can use the formula for exponential growth:
V(t) = V₀ * (1 + r)^t
Given that the parameters are;
V(t) is the value of the equipment at a time tV₀ is the initial value of the equipment ($15,000)r is the growth rate (15.9% or 0.159)t is the time in yearsTo determine time t when the value of the equipment will be less than $7500.
Let's set up an inequality;
V(t) < 7500
Substituting the formula for V(t), we get:
V₀ * (1 + r)^t < 7500
Substitute the values
(1 + 0.159)^t < 0.5
t * log(1 + 0.159) < log(0.5)
t > log(0.5) / log(1 + 0.159)
Using a calculator, we get:
t > 2.64
Hence, the value is 2.64 years.
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A company acquires equipment at a cost of $32,900 on January 3, 2004. Management estimates the equipment will have a residual value of $4,700 at the end of its 4-year useful life. Assume that the company uses the diminishing-balance method and that the diminishing-balance depreciation rate is double the straight-line rate. Calculate the depreciation expense for each year of the equipment’s life.
Answer:
Step-by-step explanation:
To calculate the depreciation expense for each year of the equipment's life using the diminishing-balance method, we need to first find the straight-line rate, and then find the diminishing-balance rate by doubling the straight-line rate.
Step 1: Calculate the straight-line rate
The straight-line rate can be calculated as follows:
SLR = (Cost - Residual Value) / Useful Life
SLR = (32900 - 4700) / 4
SLR = $27,600 / 4
SLR = $6,900 per year
Step 2: Calculate the diminishing-balance rate
The diminishing-balance rate can be calculated as follows:
DBR = 2 * SLR
DBR = 2 * $6,900
DBR = $13,800
Step 3: Calculate the depreciation expense for each year
The depreciation expense for each year can be calculated as follows:
Year 1: Depreciation Expense = Cost * (DBR / 2)
Year 1: Depreciation Expense = $32,900 * ($13,800 / 2)
Year 1: Depreciation Expense = $32,900 * $6,900
Year 1: Depreciation Expense = $227,621
Year 2: Depreciation Expense = (Cost - Year 1 Depreciation) * (DBR / 2)
Year 2: Depreciation Expense = ($32,900 - $22,761) * ($13,800 / 2)
Year 2: Depreciation Expense = $10,139 * $6,900
Year 2: Depreciation Expense = $70,223
Year 3: Depreciation Expense = (Cost - Year 1 Depreciation - Year 2 Depreciation) * (DBR / 2)
Year 3: Depreciation Expense = ($32,900 - $22,761 - $70,223) * ($13,800 / 2)
Year 3: Depreciation Expense = $10,016 * $6,900
Year 3: Depreciation Expense = $68,609
Year 4: Depreciation Expense = (Cost - Year 1 Depreciation - Year 2 Depreciation - Year 3 Depreciation) * (DBR / 2)
Year 4: Depreciation Expense = ($32,900 - $22,761 - $70,223 - $68,609) * ($13,800 / 2)
Year 4: Depreciation Expense = $21,307 * $6,900
Year 4: Depreciation Expense = $146,763
So, the depreciation expenses for each year of the equipment's life are:
Year 1: $22,761
Year 2: $70,223
Year 3: $68,609
Year 4: $146,763
This is how you can calculate the depreciation expense for each year of the equipment's life using the diminishing-balance method.
What is the distance from the origin to point A graphed on the complex plane below?
-5-4-3
O √5
O√13
O 9
-94
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13
A
& 1 14.
543
2
1
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Mark thin ond roturn
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4
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1 2 3 4 5 X
Save and Exit
57
The distance from the origin to point A graphed on the complex plane below is √13, Option C is the correct answer.
What is complex plane?The complex plane in mathematics is the plane made up of complex numbers, with real and imaginary numbers making up the x-axis (also known as the real axis) and the y-axis (also known as the imaginary axis) of the Cartesian coordinate system.
Complex numbers can be geometrically interpreted using the complex plane. They add like vectors when addition is applied. Polar coordinates make it simpler to represent the product of two complex numbers, whose magnitude or modulus is the sum of their absolute values.
The coordinates of the point A are (-3, -2).
If we extend the line from the origin to the point A it forms a right angled triangle with base = 3 and height = 2.
Using the Pythagoras theorem:
c² = a² + b²
Substituting the values:
c² = (2)² + (3)²
c = √13
Hence, the distance from the origin to point A graphed on the complex plane below is √13, Option C is the correct answer.
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Solve for x
..............
Answer:
5
Step-by-step explanation:
We can assume ∠KLJ ≅ MLJ. So we put them equal to each other.
[tex]42=9x-3\\45=9x\\5=x[/tex]
The value of x when an angle of the given figure is given as 9x - 3 is x = 5.
Given a figure.
It is required to find the value of x.
Here, consider the two triangles which are split up in the figure.
Consider the triangles JKL and JML.
Comparing the sides and angles:
JK = JM
KL = ML
JL = JL
So, they are similar.
Each corresponding angles are equal.
Here, the angle corresponding to ∠JLK is ∠JLM.
So, they are equal.
∠JLM = ∠JLK
9x - 3 = 42
Add 3 on both sides.
9x = 45
Divide both sides by 9.
x = 5
Hence, the value of x is 5.
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What is the Volume of the prism below
Answer:
140
Step-by-step explanation:
(5*7*8)/2= 280/2 =140
The ratio of your age to Jasper is 3:4. If you are 14, how old is Jasper?
Answer:10 1/2
Step-by-step explanation:
Jasper is approximately 18.67 years old as per the given ratio.
What is the ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, the ratio of your age and the age of Jasper is 3:4.
Let's use this ratio to find out how old Jasper is if you are 14.
First, we can set up a proportion:
3/4 = 14/x
where x is Jasper's age.
To solve for x, we can cross-multiply:
3x = 4 * 14
3x = 56
x = 56/3
x ≈ 18.67
So if you are 14 and the ratio of your age to Jasper's age is 3:4, then Jasper is approximately 18.67 years old.
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