The amount of each solution that should be mixed together to obtain the desired target solution is;
160 quarts of the solution that contains 3 parts salt to 5 parts water
120 quarts of the solution that contains 2 parts salt to 8 parts water
How to solve Algebra Word Problems?The parameters are;
Solution A contains 2 parts salt to 8 parts water
Solution B contains 3 parts salt to 5 parts water
Target Mixture contains 3 parts salt to 7 parts water:
Expressing the salt concentration in decimal form;
Solution A: 2/(2 + 8) = 2/10
= 0.20 salt
Solution B: 3/(3 + 5) = 3/8
= 0.375 salt
Mixed Solution: s/(3 + 7) = 3/10
= 0.30 salt
Since target mixture is 280 quarts;
If the amount of 0.375 salt present in mixed solution is denoted by x
Then, the amount of 0.20 salt is expressed as;
y = 280 – x
Using a general mixture equation, we will have;
0.375x + 0.20(280 - x) = 0.30(280)
0.375x + 56 - 0.20x = 84
Subtract 56 from both sides of the equation
0.375x - 0.20x + 56 – 56 = 84 – 56
0.375x - 0.20x = 28
0.175x = 28
Divide both sides of the equation by 0.175
0.175x/0.175 = 28/0.175
x = 160
Thus;
y = 280 – x
y = 280 – 160
y = 120
Therefore,
x = 160 quarts of the solution that contains 3 parts salt to 5 parts water
y = 120 quarts of the solution that contains 2 parts salt to 8 parts water
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Find the value of (x − 6)² if x² – 12x = 30, and x > 0.
plsss answer
Answer:
65.9
Step-by-step explanation:
The equation x² – 12x = 30 (x>0) promises that we can determine possible values of x if we solve the equation. So let's start there:
We can factor the equation or solve it with the quadratic equation.
Factor
x² – 12x = 30
x² – 12x - 30 = 0
I don't see an easy factor solution. One possibility is to first rewrite the equation as
(x-12)x-30 = 0
(x-6)^2 - 66 = 0
-(-x+[tex]\sqrt66}[/tex]+6)(x+[tex]\sqrt{66}[/tex]-6)
The roots are:
x = 6-[tex]\sqrt{66}[/tex] and
x = 6+[tex]\sqrt{66}[/tex]
Since x>0, only the second root is valid: x = 6+[tex]\sqrt{66}[/tex]
x = 6 + (8.12)
x = 14.12
[That was painful]
Quadratic Equation
Solving with the quadratic equation gives values of:
14.12, and -2.12 Again, only the positive value is valid: 14.12
[The quadratic approach was far easier than factoring, in this case]
==
Since we established x = 14.12, (x − 6)² bcomes:
(14.12 − 6)²
(8.12)² = 65.9
565.4, 556.040, 565.004 least to greatest
Answer:
565.004, 565.040, 565.4
Step-by-step explanation:
A scale model of a house uses a scale 14
inch = 3 feet. If the model is 4.25
inches tall, what is the actual height of the
house?
The actual height of the house is 0.910 feet.
What is Scale factor?When both the original dimensions and the new dimensions are known, the scale factor may be determined. When employing the scale factor, there are two terms that must be understood. When a figure's size is increased, we refer to this as scaling up, and when its size is decreased, we refer to this as scaling down.
Given:
Scale : 14 inch = 3 feet
So, 1 inch is represented by
= 3/14
So, 4.25 inch represented as
= 3/14 x 4.25
= 0.910 feet
Hence, the actual height is 0.910 feet.
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The graph represents a function. Find the input value corresponding to an output of 2.
A function is drawn on a coordinate plane. A line begins at ordered pair negative 4 comma 0 and increases to ordered pair negative 2 comma 2. It changes direction and decreases to ordered pair negative 1 comma 1. Then it stays constant until ordered pair 1 comma 1. Then it decreases through ordered pair 4 comma negative 2.
Answer: From the information provided, it can be inferred that the graph represents a piecewise function, which is a function defined by multiple smaller functions that apply to different parts of the domain.
Based on the information given, we can see that the function is constant for an input of 1. So the output value of 2 is not in the domain of the function.
It's also important to note that a function can only have one output value for a given input value, and the value of 2 is not on the graph of the function provided.
Step-by-step explanation:
Find the quadratic equation whoose root are as given (3+✓5) and (3 - ✓5)
Answer:
A quadratic equation is a polynomial equation of the form ax^2 + bx + c = 0, where a, b, and c are coefficients and x is the variable.
The roots of a quadratic equation are the values of x that make the equation equal to zero.
Given that the roots of the quadratic equation are (3+√5) and (3-√5), we can set the quadratic equation equal to zero and substitute the roots for x:
ax^2 + bx + c = 0
(x - (3+√5))(x - (3-√5)) = 0
(x - 3 - √5)(x - 3 + √5) = 0
(x - 3 - √5)(x - 3 + √5) = (x-3)^2 - (√5)^2 = (x-3)^2 - 5 = 0
x^2 - 6x + 9 - 5 = 0
x^2 - 6x + 4 = 0
So the quadratic equation whose roots are (3+√5) and (3-√5) is x^2 - 6x + 4 = 0
Step-by-step explanation:
The graph shows information about the value of two houses in different locations. Assuming the pattern continues, what will be the difference in values of the two houses when they are each 15 years old? Express your answer as a whole number.
The difference in values of the two houses when they are each 15 years old is given as follows:
$22,000.
How to model the home values?The home values are modeled using linear functions, which in slope-intercept form are given as follows:
y = mx + b.
In which the parameters are given as follows:
m is the slope, representing the rate of change of y relative to x.b is the y-intercept, representing the initial value of the function.For House A, the points are given as follows:
(3,150) and (8, 180).
Then the slope is given as follows:
m = (180 - 150)/(8 - 3)
m = 6.
Hence:
y = 6x + b
When x = 3, y = 150, hence the intercept b is given as follows:
150 = 18 + b
b = 132.
Then the function for the value of the home after x years is given as follows:
y = 5x + 132.
Meaning that the value of the home after 15 years is given as follows:
y = 5(15) + 132
y = $222,000.
For House B, the points are given as follows:
(1,130) and (5, 150).
Then the slope is given as follows:
m = (150 - 130)/(5 - 1)
m = 5.
Hence:
y = 5x + b
When x = 1, y = 130, hence the intercept b is given as follows:
130 = 5 + b
b = 125.
Then the function for the value of the home after x years is given as follows:
y = 5x + 125.
Meaning that the value of the home after 15 years is given as follows:
y = 5(15) + 125
y = $200,000.
The difference is then given as follows:
$222,000 - $200,000 = $22,000.
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there is a linear relationship between the number of chirps made by the striped ground cricket and the air temperature. a least-squares fit of some data collected by a biologist gives fahrenheit. what is the predicted increase in temperature for the model , where x is the number of chirps per minute and is the estimated temperature in d
The increase in the temperature for an increase of 5 chirps per minute is 41.7 Fahrenheit.
What is Linear relationship?
A Linear relationship, describes a straight-line relationship between two variables.
Given that, There is a linear relationship between the number of chirps made by the striped ground cricket and the air temperature. A biologist gives the model = 25.2 + 3.3x, where x is the number of chirps per minute.
there is a linear relationship between the number of chirps made by the striped ground cricket and the air temperature. a least-squares fit of some data collected
Here x = 5, putting it in the given model,
Temperature = 25.2 + 3.3 (5) = 41.7 F
Hence, the required prediction of increase in temperature is 41.7 F
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Write the transformation of the function in algebraic form. Then graph the function and its parent function, and describe the transformations .
The transformation for the graph f(x) to h(x) is a vertical transformation of 2 units.
The graph is given below.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
f(x) = x
h(x) = x + 2
h(x) = f(x) + 2
Now,
f(x) → h(x)
The transformation from f(x) to h(x) is a vertical translation of 2 units.
i.e
f(x) → f(x) + 2
The graph is given below.
The blue line is the function.
The red line is the parent function.
Thus,
The transformation of the function is f(x) → f(x) + 2.
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the sum of twice a number, x, and 6 is equal to 4 more than the number, x. what is the vaule of x.
Answer:
2x+6=x+4
2x-x = 4-6
x= -2
Answer:
x=-2
Step-by-step explanation:
cuz , if u added them together the sum would be -2+6=4 , is that ur question? or I've answered smth that has nothing to do?
If g (x) = 2f (x), then which table shows the input and output values of g (x)?
The table that shows the value of the input and output values of g(x) is shown below where x is for the input values and the output values is g(x)
x g(x)
2 4
1 2
0 0
1 2
2 4
How to find the values in the tableThe values are solved by substituting the values of f(x) in the formula as shown in the problem, the formula is
g (x) = 2f (x)
The values of f(x) which is the input values for g(x) are
2 1 0 1 2
this values are substituted in to the function g (x) = 2f (x) to get
4 2 0 2 4
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None of the answers I got is an answer choice
Answer:
N/A
Step-by-step explanation:
1. subtract 3 from both sides to isolate the square root and its coefficient
5√(5-x) = - 10
2. divide both sides by 5 to isolate the square root
√(5-x) = -2
this means that the square root of something would be negative, which is not possible
simplify log10^8-log10^4
The simplified form of the expression given is 4.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given is a logarithmic expression.
㏒ 10⁸ - ㏒ 10⁴
We have a rule for logarithms ㏒ aᵇ = b ㏒ a
So the expression becomes,
㏒ 10⁸ - ㏒ 10⁴ = 8 ㏒ (10) - 4 ㏒ (10)
The value of log 10 is 1.
㏒ 10⁸ - ㏒ 10⁴ = 8 - 4 = 4
Hence the expression can be simplified to 4.
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calculate the double integral. 4x 1 + xy da, r = [0, 4] × [0, 1] r
The value of Double integral will be [tex]\mathrm{I}=4 \int_0^4 \ln |1+\mathrm{x}| \mathrm{dx}[/tex]
A two-dimensional region can be integrated using double integrals. They enable us to, among other things, calculate the volume beneath a surface.
The integrals of a function in two variables over a region in R2, or the real number plane, are referred to as double integrals in mathematics. It is possible to write the double integral of a function of two variables, such as f(x, y), over a rectangular region as: R f (x, y) d A = R f (x, y) d x d y.
We know that by the property of integral [tex]$\int u \mathrm{udv}=u v-v \int d u$[/tex]
[tex]$$\begin{aligned}& \mathrm{I}=4 \int_0^4 \ln |1+\mathrm{x}| \mathrm{dx}=\left[\mathrm{x} \ln (1+\mathrm{x})-\int \mathrm{x} \frac{.1}{1+\mathrm{x}} \mathrm{dx}\right]_0^4 \\& \mathrm{I}=4\left[\mathrm{x} \ln (1+\mathrm{x})-\int\left(1-\frac{1}{1+\mathrm{x}}\right) \mathrm{dx}\right]_0^4 \\& \mathrm{I}=4[\mathrm{x} \ln (1+\mathrm{x})-\mathrm{x}+\ln |1+\mathrm{x}|]_0^4 \\& \mathrm{I}=[4 \ln (5)-4+\ln (5)]-[0-0+0] \\& \mathrm{I}=4[5 \ln 5-4] \\& \mathrm{I}=20 \ln 5-16\end{aligned}$$[/tex]
We have to evaluate the given double integral
[tex]$$\iint_{\mathrm{R}} \frac{4 \mathrm{x}}{1+\mathrm{xy}} \mathrm{dA} \text { where } \mathrm{R}=[0,4] \times[0,1]$$[/tex]
[tex]$$\begin{aligned}& \mathrm{I}=\int_0^4 \int_0^1 \frac{4 \mathrm{x}}{1+\mathrm{xy}} \mathrm{dydx}=\int_0^4 4 \mathrm{x}\left[\frac{|1+\mathrm{xy}|}{\mathrm{x}}\right]_0^1 \mathrm{dx} \\& \mathrm{I}=\int_0^{44}[\ln |1+\mathrm{x}|-0] \mathrm{dx}=4 \int_0^4 \ln |1+\mathrm{x}| \mathrm{dx}\end{aligned}$$[/tex]
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Fill in the missing portions of the function to rewrite f(x) = 2x2 + 14x + 24 to
reveal the zeros of the function. what are the zeros of f(x)?
enter your answers in the boxes:
g(x) = 2(x+
)(x+
1
The zeros of the quadratic function are: x = -3 or x = -4.
The quadratic function is:
f(x) = 2x² + 14x + 24
Set the function equal to 0
2x² + 14x + 24 = 0
Common 2 from the left side,
⇒2(x² + 7x +12) = 0
Factorize the left side
⇒2(x + 3)(x + 4) = 0
Set factors equal to 0 and we get
x + 3 = 0 or, x + 4 = 0
⇒x = 0-3 or, x = 0-4
⇒x = -3 o, x = -4
Thus,
The zeros of the quadratic function are: x = -3 or x = -4.
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what percent of observations in a normal distribution lie above one standard deviation below the mean?
Approximately 34% of observations in a normal distribution lie above one standard deviation below the mean.
In a normal distribution, approximately 68% of observations fall within one standard deviation of the mean. This means that approximately 34% of observations lie below one standard deviation below the mean and 34% of observations lie above one standard deviation above the mean.
The standard normal distribution (also known as the Z-distribution) is a normal distribution with a mean of 0 and a standard deviation of 1. So if you have a normal distribution with a mean of "mu" and a standard deviation of "sigma", you can standardize it by (X - mu)/sigma to obtain the Z-score.
In a standard normal distribution, 34% of observations fall below -1 standard deviation and 34% fall above +1 standard deviation. So, 34% of observations in a normal distribution lie above one standard deviation below the mean.
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Factorise fully 9x + 18
Answer:
[tex] \sf \: 9(x + 2)[/tex]
Step-by-step explanation:
Given expression,
→ 9x + 18
Let's factorise the expression,
→ 9x + 18
→ (9 × x) + (9 × 2)
→ 9(x) + 9(2)
→ 9(x + 2)
Hence, the factor is 9(x + 2).
Together, teammates Pedro and Ricky got 2674 base hits last season. Pedro had 282 more hits than Ricky. How many hits did each player have?
Answer: 1478 = Pedro
1196 = Ricky
Step-by-step explanation: 2674-282 = 2392/2 = 1196 = Ricky
1196+282 = 1478 = Pedro
What are formula questions?
Formula questions are those questions which require an answer that is numerical in value, including a specific value or a set of values.
These questions require you to apply certain mathematical formulas and use numeric data to come up with solutions. It will contain random numerical data that will be changed and the student has to find a solution for the same. Any numeric value can be modified and hence, the answer is not fixed. There can be different answers depending on the set of numbers presented in the formula question. The answer can be found by using the necessary formulas that exist.
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what is the converse of the conditional statement? if x is even, then x 1 is odd. if x is not even, then x 1 is not odd. if x 1 is odd, then x is even. if x 1 is not odd, then x is not even. if x is even, then x 1 is not odd.
Conversing the conditional statement we get the answer as, if x is odd, then x+ 1 is even.
What is conversing the conditional statement?Two pieces make up a conditional statement: an assumption in the "if" clause and a conclusion in the "then" clause. Conversing, changes the hypothesis and conclusion to create the conditional statement's opposite.
The converse of the first conditional statement is:
If x is odd, then x + 1 is even.
If x is not odd, then x + 1 is not even.
If x + 1 is even, then x is odd.
If x + 1 is not even, then x is not odd.
Hence, in converse of the conditional statement we switch the hypothesis and the conclusion of the statements.
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a small computing center has found that the number of jobs submitted per day to its computers has a distribution that is approximately mound-shaped and symmetric, with a mean of 84 jobs and a standard deviation of 9. where do we expect approximately 95% of the distribution to fall?
Our confidence interval is (66, 102).
In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts. Therefore, it can be concluded that there is a 95% probability that the true value falls within that range if a point estimate of 10.00 is produced using a statistical model with a 95% confidence interval of 9.50 - 10.50.
Now, here:
Mean, μ = 84
Standard deviation, σ = 9
It is a 95% confidence interval. We know that, within 2 standard deviations of the mean lies 95% of the population. Hence, z = 2.
Now, calculating μ - z.σ and μ + z.σ to find the intervals.
μ - z.σ = 84 - 2x9 = 66
μ + z.σ = 84 + 2x9 = 102
Thus, our confidence interval is (66, 102).
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predict how many sit ups each person can do in 12 seconds 1. janet does 3 sit ups in 2 seconds 2. paulo does 5 sit ups in 6 seconds 3. shah does 3 sit ups in 4 seconds
The predicted number of sit ups each person can do in 12 seconds, using a proportional relationship model are;
Janet 18 sit ups
Paulo 10 sit ups
Shah 9 sit ups
What is a proportional relationship?A proportional relationship is one in which the values of the output variable are a constant multiple of the values of the variables in the set of the input values.
The data for the number of sit ups each person can do with time are as follows;
1. Janet does 3 sit ups in 2 seconds
2. Paulo does 5 sit ups in 6 seconds
3. Shah does 3 sit ups in 4 seconds
The rates at which each person does sit ups, using a proportional relationship between the number of sit ups and time and the the constant of proportionality in the proportional relationship is the rate of sit ups per person which are;
Rate = (Number of sit ups)/(Time)
The rate at which Janet does sit ups = (3 sit ups)/(2 seconds), m = 1.5 sit ups/second
Rate at which Paulo does sit ups = (5 sit ups)/(6 seconds), m = (5/6) sit ups/second
Rate at which Shah does sit ups = (3 sit ups)/(4 seconds), m = (3/4) sit ups/second
The number of sit ups each person can do, n, in a specified time, t, can be found using the formula;
n = m × t
Where;
n = The number of sit ups
m = The rate at which the person does sit ups
t = The time duration
Therefore, the number of sit ups each person can do in 12 seconds are therefore;
The number of sit ups Janet can do in 12 seconds is; n = 1.5 × 12 = 18
Janet can do 18 sit ups in 12 seconds
Number of sit ups Paulo can do in 12 seconds is; n = (5/6) × 12 = 10
Paulo can do 10 sit ups in 12 seconds
Number of sit ups Shah can do in 12 seconds is; n = (3/4)×12 = 9
Shah can do 9 sit ups in 12 seconds
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Find the point-slope form of (-6, 0), horizontal line
The point-slope form of the horizontal line (-6,0) is y = 0.
What is point-slope form?The slope of the line and any points on the line determine the point-slope form of a line. When given a point on the line and the slope, the form's purpose is to describe the equation of the entire line.The point slope form (also known as the point-gradient form) is one of three ways to express a straight line. This form is useful because we can determine the equation of the line by knowing only one point on the line and its slope.Here given point (-6,0).
If the line is horizontal, the slope is zero.
Then the formula in slope-point form, ( y - y 1 ) = m ( x - x 1 )
By substituting,
This is equivalent to y - 0 = 0 ( x - (-6)).
y - 0 = 0
y = 0
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(02.04 HC)
Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.
f(x)
f(x) = -2(x-4)2 +2
X
-4-3-2
h(x)
Ñ
For [tex]f(x)[/tex], the axis of symmetry is the vertical line passing through the vertex. Matching with vertex form, we see the vertex of the graph of [tex]f(x)[/tex] has coordinates [tex](4,2)[/tex]. Thus, the axis of symmetry has equation [tex]x=4[/tex].
Similarly, for [tex]h(x)[/tex], the axis of symmetry is the vertical line passing through the vertex. The vertex of the graph of a quadratic function is either the minimum or maximum point (it depends on the leading coefficient of the function). Here, there is a maximum point, which has coordinates [tex](-2,2)[/tex]. Thus, the axis of symmetry has equation [tex]x=-2[/tex].
On a particular day, the amount of untreated water coming into the plant can be modeled by f(t) = 100 + 30cos(t/6) where t is in hours since midnight and f(t) represents thousands of gallons of water. The amount of treated water at any given time, t, can be modeled by g(t) = 30e^cos(/2)a) Define a new function, a(t), that would represent the amount of untreated water inside the plant, at any given time, t.b) Find a′ (t).c) Determine the critical values of this function over the interval [0, 24).d) Determine whether the critical values represent local maximums or minimums.e) Determine the maximum and minimum amount of untreated water in the plant for the day.
Answer:
where t is in hours since midnight and f(t) represents thousands of gallons of water. The amount of treated water at any given time, t, can be modeled by g(t) = 30e^cos(/2)a) Define a new function, a(t), that would represent the amount of untreated water inside the plant, at any given time, t.b) Find a′ (t).c) Determine the critica
Find the sum of 5.2 c -7 and -3.9c + 8.5 what is the sum
Answer:
1.3 * c + 1.5
Step-by-step explanation:
(5.2c-7) + (-3.9c + 8.5)
5.2 * c - 7 - 3.9 * c + 8.5
1. add constants ( - 7 and 8.5)
5.2 * c - 3.9 * c + 1.5
2. add both of the coefficients of c
when a variable is multiplied by a coefficient, we can add another coefficient * variable combination if the variable is the same. for example, 1 * x + 2 * x = 3 * x by adding the 1 and 2 together
similarly, 5.2 * c - 3.9 * c = (5.2 - 3.9) * c = 1.3 * c
1.3 * c + 1.5
Given:AD,CB,and MD~MB
Prove:Am=Cm
Help pls!
Answer:
ΔMDA ≅ ΔMBC by ASA
Step-by-step explanation:
Congruent triangles:∠DMA ≅ ∠BMC
MD ≅ MB
∠MDA ≅ ∠MBC
Two angles are congruent and the sides in between the congruent angles are equal. So, the two triangles are congruent by Angle Side Angle congruency.
What is the solution for the equation StartFraction 5 Over 3 b cubed minus 2 b squared minus 5 EndFraction
The solutions for the equation are b = 0, 3.
What is the cubic equation?
A three-degree equation is referred to as a cubic equation. All cubic equations have roots that are either three real roots or one real root and two imaginary roots. Polynomials are referred to as cubic polynomials if they have a degree of three. The opposite of cubing an integer is finding the cube root of that number. It can be determined by first determining how the given integer can be divided into prime factors, and then by using the cube root formula.
To find the solution for the equation 5/3b³ - 2b² - 5, we can factor it or use the quadratic formula.
One way to factor it is to note that it is a cubic equation in terms of b, and can be written as:
5/3b³ - 2b² - 5 = (5/3b³ - 2b²) - 5 = (5/3b³ - 2b²- 5b) + (5b)
= (5/3b)(b² - 3b) + 5
So, b=0 is one solution, but we can also factor the remaining quadratic equation (b² - 3b) = 0,
b=0 and b=3 are the solutions for the equation.
Hence, the solutions for the equation are b = 0, 3.
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Identify a quadratic function that fits the points (−3, −7),(0, −4), and (2, −12).
By solving a system of equations we will see that the quadratic equation is:
y = 3*x^2 - 10*x - 4
Which system of equations has the given points?We know that a general quadratic function can be written as:
y = a*x^2 + b*x + c
Here we know that the equation passes through (0, -4), replacing these values:
-4 = a*0^2 + b*0 + c
-4 = c
Then the quadratic equation is:
y = a*x^2 + b*x - 4
Now we can use the other two points (-3, -7) and (2, -12), replacing these values we will get a system of equations:
-7 = a*(-3)^2 + b*(-3) - 4
-12 = a*(2)^2 + b*(2) - 4
We can simplify these equations to get:
-3 = 9a + 3b
-8 = 4a + 2b
We can isolate b on the second equation to get:
2b + 4a = -8
2b = -8 - 4a
b = (-8 - 4a)/2
b = -4 - 2a
Now we can replace that in the other equation to get:
-3 = 9a + 3*(-4 - 2a)
-3 = 9a -12 - 6a
-3 + 12 = 3a
9 = 3a
9/3 = a
3 = a
And the value of b is:
b = -4 - 2a
b = -4 - 2*3
b = -4 - 6 = -10
Then the quadratic equation is:
y = 3*x^2 - 10*x - 4
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Is 1over9 > or < 1over11
The fraction 1/9 is greater than the fraction 1/11.
How to compare fractions?Comparing fractions involves a set of rules related to the numerator and the denominator. When any two fractions are compared, we get to know the greater and the smaller fraction.
To compare unlike fractions:
Step 1: Observe the denominators of the given fractions: .
Step 2: Now, let us convert them in such a way that the denominators become the same.
Step 3: Compare the fractions:
Step 4: The fraction with the larger numerator is the larger fraction.
The given fractions are 1/9 and 1/11.
Here, LCM of denominator 9 and 11 is 99
Then, fractions becomes 11/99 and 9/99
11/99>9/99
1/9>1/11
Therefore, the fraction 1/9 is greater than the fraction 1/11.
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Pham burgers has beginning net fixed assets of $684,218, ending net fixed assets of $679,426, and depreciation expense of $48,859. What is the net capital spending for the year if the tax rate is 21 percent?.
If Pham burgers has beginning net fixed assets of $684218 , ending net fixed assets of $679426 and depreciation expense of $48859 , then the net capital spending for the year is $44067 .
For the Pham burgers , the Beginning Net Fixed Assets is = $684218 ;
the ending net fixed assets for Pham burgers is = $679426 ;
the depreciation expense for Pham burgers is = $48859 ;
the tax rate is 21% , which is not relevant for this question ;
The Net capital Spending for the year can be calculated using the formula :
[tex](Ending \; Net \; Fixed \;Assets - Beginning \; Net\; Fixed \; Assets) + Depreciation[/tex] ;
substituting the required values ,
we get ;
Net Capital Spending for year is = ($679426 - $684218) + $48859 ;
On simplifying ,
we get ;
= $44067 .
Therefore , the Net Capital Spending for the year is $44067 .
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