Simplified value of given expression is 2x³√10x.
What is simplification?
In arithmetic, simplification is reducing the expression / fraction problem during a less complicated type.
Main body:
Factor 40 into its prime factors
40 = 2³ • 5
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
4 = 2²
Factors which will remain inside the root are :
10 = 2 • 5
To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
2 = 2
At the end of this step the partly simplified SQRT looks like this:
2 • sqrt (10x7)
Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
(3.1) sqrt(x⁸)=x4
(3.2) sqrt(x-⁶)=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
(4.1) sqrt(x5)=x²•sqrt(x)
(4.2) sqrt(x-7)=x³•sqrt(x-1)
Applying these rules to our case we find out that
SQRT(x7) = x³ • SQRT(x)
sqrt (40x7) =
2² x³• sqrt(10x)
Hence the simplification to the value is as 2² x³ • sqrt(10x)
to know more about simplification , visit:
https://brainly.com/question/723406
#SPJ1
michael jordan was said to have a hang-time of 3.0 seconds (at least according to a popular nike commercial). use kinematic equations to determine the height to which mj could leap if he was wearing nike shoes and had a hang-time of 3.0 seconds.
it said her baby weighed 1/2 stone if one pound equals 1/14 of a stone how many pounds did the newborn baby weigh
The weight of the newborn baby in pounds is 7pounds
What is proportion?Proportion is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
The relationship between a pound and stone is
1 pound = 1/14stone
therefore 1stone = 14pounds
The weight of the newborn baby is 1/2 stone
in pounds ,the weight of the baby is 14/2= 7pounds
learn more about proportion from
https://brainly.com/question/19994681
#SPJ1
a block cipher algorithm operates more slowly if we change the key every time we use it. which of the following concepts is most responsible for this delay?
Key expansion is most responsible for this delay.
A block cipher encrypts and decrypts a block of data with an algorithm and symmetric key. In order to expand the keyspace of a block cipher and make it more difficult to break the key through brute force, an initialization vector (IV) must be added to the plaintext that is being used as input. Key Expansion: In the initial stage, it uses just one key, but in later rounds, it expands to multiple keys. Data bytes: Instead of working with bit data, the AES encryption algorithm performs operations on byte data. Consequently, during the encryption process, it treats the size of the 128-bit block as 16 bytes.
know more about block cipher here: https://brainly.com/question/13267401
#SPJ4
you notice a hot air balloon is sending the elevation H in feet of the balloon is modeled by the function h x equals 6X + 90 where X is the time in second since you first noticed the hot air balloon
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the slope, representing in this problem the rate of change of the height of the balloon relative to time.b is the y-intercept of the function, representing the initial height of the balloon.In this problem, the function is:
H(x) = 6x + 90.
Hence the slope and the intercept are given as follows:
m = 6, b = 90.
The domain and the range of the function are given as follows:
Domain is x ≥ 0, as the input variable is time and time cannot be negative.Range is H ≥ 90, as the function starts at the intercept and is increasing.Missing InformationThe problem is given by the image shown at the end of the answer.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Simplify cos (arcsin1/4)
What is 18.92 divided by11 equals 18.92 at the top 11 at the bottom explain your answer PLEASE I HAVE TO SUMMIT THIS IN 19 MIN!
The decimal division of 18.92 by 11 gives us; 1.72
How to divide decimal numbers?When dividing decimals, we first have to convert the divisor to a whole number by moving the decimal point to the right. Thereafter, we now carry the dividend's decimal point up to the exact same number of places to the right and then divide the resultant numbers in the normal way, like in regular long division.
We want to divide 18.92 by 11. Thus, let us apply that rule described above to get;
18.92/11 = 1892/1100
= 1 + (1892 - 1100)/1100
= 1 + (792/1100)
= 1 + 0.72
= 1.72
Read more about division of decimal numbers at; brainly.com/question/703656
#SPJ1
Felipe places a bottle of water inside a cooler. As the water cools, its temperature Ct in degrees Celsius is given by the following function, where t is the number of minutes since the bottle was placed in the cooler.C(t) = 10+12e-0.025tFelipe wants to drink the water when it reaches a temperature of 16 degrees Celsius. How many minutes should he leave it in the cooler?Round your answer to the nearest tenth, and do not round any intermediate computations.
The number of minutes Felipe should leave the bottle of water in the cooler is 27.7 minutes
How to determine the number of minutes to leave it in the cooler?From the question, we have the following function that can be used in our computation:
C(t) = 10 + 12e⁻⁰°⁰²⁵ˣ
Where:
C(t) is in degrees CelsiusAns t is the number of minutesAlso from the question, we understand that Felipe wants to drink the water when it reaches a temperature of 16 degrees Celsius
This means that
C(t) = 16
Substitute C(t) = 16 in the above equation, so, we have the following representation
10 + 12e⁻⁰°⁰²⁵ˣ = 16
Evaluate the like terms
12e⁻⁰°⁰²⁵ˣ = 6
Divide both sides by 12
e⁻⁰°⁰²⁵ˣ = 0.5
Take the natural logarithm of both sides
-0.025t = ln(0.5)
So, we have
-0.025t = -0.693
Divide
t = 27.72
Approximate
t = 27.7
Hence, the number of minutes is 27.7 minutes
Read more about functions at
https://brainly.com/question/28277110
#SPJ1
Trekkers footwear bought a piece of machinery on january 1, 2006 at a cost of $2. 3 million, and the machinery is being depreciated annually at an amount of $230,000 for 10 years. Its market value on december 31, 2008 is $1. 75 million. The firm's accountant is preparing its financial statement for the fiscal year end on december 31, 2008. The asset's value should be recognized on the balance sheet at.
The asset's value should be recognized on the balance sheet at $1.61 million.
Given,
On January 1st, 2006, Trekkers Footwear paid $2.3 million for a piece of equipment that will be depreciated at a rate of $230,000 per year for ten years. As of December 31, 2008, IT was worth $1.75 million in the market. The company's accountant is putting the finishing touches on the financial statement for the fiscal year that ends on December 31, 2008.
The balance sheet should reflect the asset's value at,
Cost of Asset = $2.3 million
Annual depreciation = $230000
Total no. of years depreciated till December 31, 2008, = 3 years
Hence, total depreciation = $230000 x 3 = 690000 = 0.69 million
Hence, book value as on 31 December 2008 = $2.3 million - $0.69 million = 1.61 million
Given Market Value on Dec 31, 2008, = $1.75 million.
But as per accounting conventions, Assets are recorded at Book value.
Hence $1.61 million is the right answer.
To learn more about Cost click here:
brainly.com/question/14332852
#SPJ4
Chelsea wrote several equations and determined that only one of the equations has exactly one solution. which of these equations has exactly one solution? 4 (x 3) = 7 x minus 6 4 (x 3) 8 = 4 x 20 4 (x 3) 3 x 7 x 12 4 (x 3) 6 = 4 x 9
The equation which has exactly one solution is 4 (x + 3) = 7x – 6, and the solution is x = 6.
To solve the equations, we can use Multiplicative Distribution Law.
The first equation, 4 (x + 3) = 7x – 6, has exactly one solution that is x = 6.
4 (x + 3) = 7x – 6
4x + 12 = 7x – 6
4x – 7x = – 6 – 12
– 3x = – 18
x = 6
The second equation, 4 (x + 3) + 8 = 4x + 20, has all real numbers.
4 (x + 3) + 8 = 4x + 20
4x + 12 + 8 = 4x + 20
4x – 4x = 20 – 12 – 8
0 = 20 – 12 – 8
0 = 0
The third equation, 4 (x + 3) + 3x = 7x + 12, has all real numbers.
4 (x + 3) + 3x = 7x + 12
4x + 12 + 3x = 7x + 12
4x + 3x – 7x = 12 – 12
7x – 7x = 0
0 = 0
The last equation, 4 (x + 3) + 6 = 4x + 9, has no solution. It is a wrong equation.
4 (x + 3) + 6 = 4x + 9
4x + 12 + 6 = 4x + 9
4x – 4x = 9 – 12 – 6
0 = - 9
Hence, by using the Multiplicative Distribution Law, the equation which has exactly one solution is 4 (x + 3) = 7x – 6.
Learn more about multiplicative distribution at: https://brainly.com/question/15267352
#SPJ4
Answer: (A)
Step-by-step explanation: 4(x + 3) = 7x - 6
trust
What is the equation of the line that passes through the point (8,4) and has a slope of 0
The equation of the line that passes through the point (8,4) and has a slope of 0 is y = 4.
Given:
point (8,4) and has a slope of 0
slope m = 0
Standard line equation is y = mx + c
substitute (8,4) and m values in y = mx + c
4 = 0*8 + c
4 = 0 + c
c = 4
c , m values in y = mx + c
y = 0*x + 4
y = 0 +4
y = 4.
Therefore The equation of the line that passes through the point (8,4) and has a slope of 0 is y = 4.
Learn more about the slope here:
https://brainly.com/question/3605446
#SPJ1
BBQ Corp. had a 3:1 stock split ratio. Pre-split the company had 1.35 Million outstanding shares at a price of $72.45 per share.
How many outstanding shares does BBQ Corp. have post-split?
The number of outstanding shares that BBQ Corp. will have post-split, given the number of outstanding shares is, 4, 050, 000 shares
What is a stock split?A stock split refers to when the number of outstanding shares that a company has, are divided into a certain number of shares which is based on the split ratio.
For a 3:1 stock split ratio, the number of outstanding shares will be split into three shares each.
BBQ Corp. has 1. 35 million shares so post - split, they will have:
= Outstanding shares x 3
= 1, 350, 000 x 3
= 4, 050, 000 shares
Find out more on stock splits at https://brainly.com/question/14247504
#SPJ1
Malia ue 51 yard of ribbon to make 17 bow. The relationhip between ribbon and bow i proportional. How many yard of ribbon doe Malia need to make 68 bow?
In given proportinal relation , Maila need 204 yards for make 68 bow.
What is proportion?
In mathematics, proportional means that two quantities or variables are linearly related. When one quantity doubles, the other quantity also doubles. When one of the variables decreases to 1/10th of its previous value, the other also decreases. A ratio is a comparison of two numbers, each representing a part of a whole. Essentially, percentages show that two fractions are equal, even if they are of different magnitudes. For example, 1/2 of 10 marbles has the same ratio as 1/2 of 50 marbles.
Here the relationship between ribbon and bow is proportional. Let us take ribbon as r and bow as b.
=> r ∝b
=> r= kb . Where k is constant.
Now put r=51 and b =17 then,
=> 51=k*17
=> k = 3
then the equation is r = 3b.
Now b=68 then ,
=> r = 3*68
=> r = 204 yard.
Therefore Maila need 204 yard ribbon to make 68 bow.
To learn more about proportion refer the below link
https://brainly.com/question/1496357
#SPJ4
the lengths of two sides of a triangle are 11 cm and 19 cm. identify the range of possible lengths for the third side.
The third side of the triangle whose two sides are 11 cm and 19 cm can be between 9 and 29.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
The sides of triangles are 11 cm and 19 cm,
Let the third side of the triangle is x,
Since, a side of a triangle is greater than the difference of two sides and less than the sum of two sides,
implies that,
19-11<x<19+11
8 < x < 30
The possible range of third side is (9,29).
To know more about Triangle on:
https://brainly.com/question/2773823
#SPJ1
Answer:
8cm < x < 30cm
Step-by-step explanation:
To find the range of lengths for the third side of a triangle when two side lengths are known, first, assign a variable for the length of the third side.
Let x be the length of the unknown side.
Use the Triangle Inequality Theorem to write the three inequalities.
x + 11x > 19
x + 19 > 11
11 + 19 > x
Solve each inequality.
x > 8
x > -8
30 > x
Now find the range of values that satisfies all three inequalities.
The range between 8 and 30 satisfies all 3 inequalities. Therefore, this triangle's third side lengths range is 8cm < x < 30cm.
Given X (5, -8). What are the coordinates of X" if X" = Rx-axis
(Ry-axis(X))?
A. (5,8)
B. (-5,-8)
C. (-5,8)
D. (5,-8)
(-5, 8)
=========================================================
These are two rules to memorize
[tex]\text{x-axis reflection: } \ \ (\text{x},\text{y})\to (\text{x},-\text{y})\\\\\text{y-axis reflection: } \ \ (\text{x},\text{y})\to (-\text{x},\text{y})\\\\[/tex]
----------
I'll relabel the point X as point A.
We apply a y-axis reflection first.
So we have:
[tex](\text{x},\text{y})\to (-\text{x},\text{y})\\\\(5,-8)\to (-5,-8)\\\\[/tex]
after the y axis reflection is applied.
This is the location of point A'
----------
Then we apply an x-axis reflection.
[tex](\text{x},\text{y})\to (\text{x},-\text{y})\\\\(-5,-8)\to (-5,-(-8))\\\\(-5,-8)\to \boldsymbol{(-5,8)}\\\\[/tex]
This is the location of point A''
which points us to choice C as the final answer.
----------
Side note:
The composition of an x-axis reflection and y-axis reflection, in either order, is the same as a 180 degree rotation around the origin.
The rule for a 180 degree rotation is [tex](\text{x},\text{y})\to (-\text{x},-\text{y})\\\\[/tex]
Simplify the following please
[tex] log_{3}27 + 2 log_{3}9 - log_{3}54[/tex]
Answer:
4 - log3 (2)
Step-by-step explanation:
2log3 (9) = log3 (9^2)
log3 (27 * 9^2 / 54)
log3 ( 3^3 * 3^4 / 9 * 6)
log3 (3^7 / 3^2 * 3 * 2)
log3 (3^7 / 3^3 * 2)
log3 ( 3^4 /2)
log3 (3^4) - log3 (2)
4 - log3 (2)
What are the 4 main types of mathematical thinking?.
They were based on four key areas
1) Representation,
2) Reasoning and Proof
3) Communication,
4) Problem Solving,
1) Representation:
Students are being challenged to present a mathematical concept in multiple ways. There are five different ways to depict thought:
1) Plaything models
2) Still images
3) Printed signs
4) Verbal/written communication
5) actual circumstances or settings
2) Reasoning and Proof:
The habit of reasoning should serve as a backdrop for the development of key mathematical concepts. Asking questions is the key! Why not? Invite students to make conjectures and then to develop, improve, and assess them since mathematics includes discovery. Additionally, let pupils investigate and articulate their own logic. It's frequently beneficial to expand on what kids already know while teaching them.
Students can use technology and manipulatives to solve problems and test their hypotheses at this point.
3) Communication:
Both a method of transmission and a part of what it means to "do" mathematics, communication in mathematics encompasses both. Teachers must create a safe space where students can attempt to share their ideas in the beginning. Since kids don't naturally communicate in math, teachers must be patient while they learn to do so.
4) Problem solving:
Mathematical problem solving is defined as "participating in a task for which the solution approach is not known beforehand. Students must employ previously learned information to create a solution, and by doing so, they obtain new mathematical understandings. Problem-solving exercises ought to be a regular element of math classes. Problems can be derived from real-world applications and experiences.
Hence we get the required answer.
Learn more about Mathematical thinking here:
brainly.com/question/25870256
#SPJ4
Ferris wheel is 25 meters in diameter and boarded from a platform that is 1 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 6 minutes. How many minutes of the ride are spent higher than 17 meters above the ground?
0.769 minutes of the ride is spent higher than 17 meters above the ground.
What is the unit conversion in mathematics?
Unit conversion is a multi-step process that includes multiplying or dividing by a numerical factor, determining the appropriate number of significant digits, and rounding.
The given figure is a Ferris wheel we have to find the time spent on the ride higher than 17 m.
It means we have to find time spent riding from A to C through B (i.e., Arc ABC)
From the figure, in ΔAOD, we have
OA = 12.5 m
OD = 12.5 - 1 = 11.5 m
Now find 'θ'
θ = [tex]cos^{-1}(\frac{11.5}{12.5})[/tex]
= 23.07°
The total angle of arc ABC = 2θ
= 2 * 23.07
= 46.14°
It is given that, 1 full revolution is completed in 6 minutes.
so 46.14° will be completed in = 6/360 * 46.14
= 0.769 minutes.
Hence, 0.769 minutes of the ride is spent higher than 17 meters above the ground.
To learn more about unit conversion, visit:
https://brainly.com/question/97386
#SPJ4
18.92 at the top 11 at the bottom explain your answer PLEASE I HAVE TO SUMMIT THIS IN 19 MIN!
Answer:
1.72
Step-by-step explanation:
Let's solve the problem,
→ 18.92/11
→ 18.92 ÷ 11
→ 1.72
Hence, answer is 1.72.
Which equation represents a line that passes through 5 1 and has a slope of StartFraction one half EndFraction?.
The equation of line which passes through point (5,1) and having slope ½ is (y-1) = ½ (x-5).
What is the equation of a line?
The equation of a line is given as:
y = mx + c
The equation for the point on slope line is given as:
y - y1 = m ( x - x1 )
Substituting the above given values and the slope:
y - 1 = [tex]\frac{1}{2}[/tex] ( x - 5)
Hence, the equation of line which passes through point (5,1) and slope ½ is (y-1) = ½ (x-5).
Learn more about line equation, here:
brainly.com/question/2564656
#SPJ4
5 t-hirt and a hat cot 17£
2 t-hirt and a hat cot 8£
how much doe a t hirt cot
how much doe a hat cot
The cost of the t-shirt is 3 and the cost of a hat is 2
Let the price of a t-shirt be x
and the price of a hat be y
cost of 5 t-shirt and a hat is 17
5x + y = 17 equation 1
cost of 2 t-shirt and a hat is 8
2x + y = 8 equation 2
subtracting equation 2 from equation 1
5x + y - (2x + y) = 17 - 8
5x + y - 2x - y = 9
3x = 9
x = 3
2x + y = 8
2 (3) + y = 8
y = 8 - 6
y = 2
Therefore, the cost of the t-shirt is 3 and the cost of a hat is 2
To learn more about simulatneous equation refer here
https://brainly.com/question/16863577
#SPJ4
For the triangles to be congruent by hl, what must be the value of x? 8 9 17 34
Using equations we know that the value of x needs to be (E) 4 to make HL congruent to AC.
What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
So, HL is a hypotenuse that will be congruent to the hypotenuse AC.
We know that HL is 3x + 3.
Ac is 15.
Then the equation will be:
3x + 3 = 15
Now, solve the equation to get x as follows:
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12/3
x = 4
Therefore, the value of x needs to be (E) 4 to make HL congruent to AC.
Know more about equations here:
https://brainly.com/question/28937794
#SPJ4
Correct question:
For the triangles to be congruent by hl, what must be the value of x?
a. 8
b. 9
c. 17
d. 3
e. 4
My garden needs 5 3/6 pounds of soil. If the bag of soil contains only ⅚ of soil - how many bags of soil do I have to buy? The answer is =
Approximately 7 bags of soil are needed to fill the land.
What is Equation Modelling?
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.
Given is garden that needs 5 3/6 pounds of soil. The bag of soil contains only 5/6 of soil.
The total number of bags of soil you need to buy are -
n = (33/6)/(5/6)
n = 33/6 x 6/5
n = 33/5
n = 6.6
n = 7 (approx.)
Therefore, approximately 7 bags of soil are needed to fill the land.
To solve more questions on equation modelling, visit the link below-
brainly.com/question/6593383
#SPJ1
Percy rides his bike 11.2 miles in 1.4 hours at a constant rate. Write an equation to represent the proportional relationship between the number of hours Percy rides,x, and the distance in miles, y, that he travels.
An equation to represent the proportional relationship between the number of hours and the distance in miles is k=y/x.
Given that, Percy rides his bike 11.2 miles in 1.4 hours at a constant rate.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
The number of hours Percy rides x, and the distance in miles, y, that he travels
So, the proportional relationship is speed = y/x
Thus, 11.2/1.4
= 8 miles per hour
Therefore, an equation to represent the proportional relationship between the number of hours and the distance in miles is k=y/x.
To learn more about the speed, distance, and time visit:
brainly.com/question/4978052.
#SPJ1
To furnish a cafeteria, a school can spend $5200 on tables and chairs. Tables cost $200 and chairs cost $40. Each table will have 8 chairs around it. Write and solve a system of equations for x and y. How many tables and chairs will the school purchase?
The number of tables is 100 and the number of chairs purchased is 800.
Given,
In the question:
To furnish a cafeteria, a school can spend $5200 on tables and chairs. Tables cost $200 and chairs cost $40. Each table will have 8 chairs around it.
To write and solve a system of equations for x and y and how many tables and chairs will the school purchase?
Now, According to the question:
We need to form an equation from this given information and solve it for x to find the number of tables and chairs that the school will purchase.
The number of tables is x, so number of chairs is 8x
Total cost of tables=200x
Total cost of chairs=40 × 8x=320x
Total expenditure=200x + 320x=520x
520x = 5200
x = 100
Therefore, the number of tables is 100 and the number of chairs purchased is 800.
Learn more about Equation at:
https://brainly.com/question/14686792
#SPJ1
Can we construct a triangle with the sides 2cm 3cm and 5cm justify?.
Answer:
No
Step-by-step explanation:
The sum of two sides of a triangle should be greater than the size of the third side.
2 + 3 is not greater than 5, so it's impossible to construct a triangle using the given lengths for the sides.
express as a sum of logarithms
a, log3 5ab
Sum of logarithm is [tex]\left(\log _3(5)+\log _3(a)\right) b$$[/tex]
What is meant by logarithm?The exponent or power that must be added to a base to produce a given number is called the logarithm. If bx = n, then the mathematical expression for x is x = logb n, where x is the logarithm of n to the base b.
For instance, since 23 = 8, 3 is the logarithm of 8 in base 2, or 3 = log2 8. In a similar manner, since 102 = 100, 2 = log10 100. Those of the latter type (base 10-based logarithms) are referred to as common, or Briggsian, logarithms and are denoted by the letter log n.
The time needed to multiply numbers with many digits was significantly reduced thanks to the development of logarithms in the 17th century, which was done to speed up calculations.
Simplifying [tex]$\log _3(5 a) b: \quad\left(\log _3(5)+\log _3(a)\right) b$$\log _3(5 a) b$[/tex]
[tex]\log _3(5 a) b[/tex]
Simplifying we get
[tex]$\log _3(5 a): \quad \log _3(5)+\log _3(a)$$$=\left(\log _3(5)+\log _3(a)\right) b$$[/tex]
Therefore the sum of logarithm is [tex]\left(\log _3(5)+\log _3(a)\right) b$$[/tex]
To learn more about logarithm refer to :
https://brainly.com/question/25710806
#SPJ1
Find all solutions of x in degrees for (sinx- 1)(sinx+ 1) = 0.
Answer:
x = 90° + 180° × n, for all integers, n
Step-by-step explanation:
(sin x - 1)(sin x + 1) = 0
sin x = 1 or sin x = -1
The sine function has value 1 at 90° and all coterminal angles.
The sine function has value -1 at 270° and all coterminal angles.
Answer: x = 90° + 180° × n, for all integers, n
Yearly expenses at a state university have increased from $14,000 to $18,500 in the last 4 years. What has been the average annual growth rate in expenses? If this growth rate continues, what will the expenses be 4 years from now?
The annual growth rate in the expenses is 0.08035 or 8.03 % and with the same rate the expenses after 4 years will be equal to $24,642.
How annual growth rate is calculated?
Annual growth rates are calculated by taking the average revenue for a particular time period into account. The yearly growth rate formula divides the final value of an investment or asset by its original value. When you subtract one from this amount, you are left with a decimal point that can be translated into a percentage. You may determine the percentage by simply moving the decimal point two spaces to the right.
The growth in the 4 years is = 18,500 – 14,000 = 4,500
Growth = initial amount (rate) (time)
4500 = x(4)(14,000) = 0.08035
It means the annual growth rate is 8.03 %
To know the expenses after 4 years, lets take initial value = 18,500, rate = 8.03% = 0.083, time = 4 years,
Increase = 18500(0.083)(4) = 6,142
So, the expenses after 4 years,
Expenses = 18,500 + 6,142 = 24,642
Therefore, the expenses after 4 years are $24,642
To know more about annual growth rate, go to link
https://brainly.com/question/5053605
#SPJ1
in a monetary-unit sample with a sampling interval of $10,000, an auditor discovered that a selected account receivable with a recorded amount of $5,000 had an audit amount of $2,000. the projected misstatement of this sample was:
The correct answer is 'the projected misstatement of this sample was $6,000.'
An auditor cannot obtain absolute assurance that material misstatements in the financial statements will be find out.
The purpose of intentional misstatements or omissions of amounts or disclosures in financial statements is to deceive the users of financial statements. These misstatements result from fraudulent financial reporting.
Misstatements arising from the misappropriation of assets (sometimes referred to as defalcation) involve the theft of an entity's assets where the effect of the theft causes the financial statements not to be represented in conformity with generally accepted accounting principles.
The risk of a material misstatement of the financial statements as a result of fraud should be expressly assessed by the auditor, and the audit processes should be designed with that judgement in mind.
To know more about 'misstatement' related questions
visit- https://brainly.com/question/14214751
#SPJ4
mrs. ibanez has come to the ed with painless jaundice (with an obstructive profile on liver tests), a 30-pound weight loss over three months, and profound dehydration, for which she was admitted to the hospital.
Mrs. Ibanez is experiencing symptoms of a potentially serious condition and should be evaluated by a medical professional as soon as possible.
What is a potentially serious condition?Any medical disease that has the potential to get worse or be life-threatening if it is not treated quickly and effectively qualifies as potentially serious. Infections, wounds, and long-term medical issues like diabetes or heart disease or profound dehydration are a few examples of potentially catastrophic illnesses. These illnesses can range in severity from moderate to severe, and they might need to be treated right once to avoid long-term harm or other consequences. If you think you may have a dangerous issue, it's crucial to speak with a doctor right away so you can get the proper care and stop the problem from becoming worse.
To learn more about, potentially serious condition, visit:
https://brainly.com/question/15188861
#SPJ4
