a. The current ratio is 1.3125
b. The acid test is 1.09375.
c. The average day collection is 37 days.
d. The asset turnover is 1.28.
e. The profit margin on sales is 14.63%.
How to calculate the current ratio?a. The current ratio will be:
= Current asset / Current liability
= 21000 / 16000
= 1.3125
b. Acid test quick ratio will be:
= (Current asset - Inventory) / Current liability
= (21000 - 3500) / 16000
= 1.09375
c. Average day collection will be:
= Account receivable / (Net sales / 360)
= 4200 / (41000 / 36)
= 4200 / 114
= 37 days.
d. Asset turnover will be:
= Net sales / Total asset
= 41000 / 28000
= 1.28
e. Profit margin will be:
= Net income / Net sales
= 6000 / 41000
= 14.63%
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Please helppppppppppp
Answer:
1
2
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x
2
2
−
x
3
3
]
2
0
=
1
2
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4
2
−
8
3
)
−
(
0
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=
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Step-by-step explanation:
Solve 7x+23x-5=6(5x+8). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. x=
OB. The equation has infinitely many solutions.
OC. The equation has no solution.
Find all zeros of f(x) = x³ - 4x² - 5x + 14. Enter the zeros separated by commas. Enter exact values,
using radicals and/or fractions if necessary, not decimal approximations.
Question Help: Message instructor
Check Answer
Jump to Answer
Answer: x=-2, x=3+[tex]\sqrt{2}[/tex], 3-[tex]\sqrt{2}[/tex]
Step-by-step explanation:
f(x) = x³ - 4x² - 5x + 14
-2 | 1 -4 -5 14
-2 12 -14
1 -6 7 0
x³ - 4x² - 5x + 14 = (x+2)(x²-6x+7)
x²-6x+7=0
x²-6x+9-2=0
(x²-6x+9)-2=0
x²-6x+9=2
x²-3x-3x+9=2
x(x-3)-3(x-3)=2
(x-3)²=2
x-3=[tex]\sqrt{2}[/tex], -[tex]\sqrt{2}[/tex]
x=3+[tex]\sqrt{2}[/tex], 3-[tex]\sqrt{2}[/tex]
Hence, zeroes are x=-2, x=3+[tex]\sqrt{2}[/tex], 3-[tex]\sqrt{2}[/tex]
Step-by-step explanation:
our first "suspicion" for a factoring is an integer factor of the constant term : 14.
14 = 2 × 7 or -2 × -7
I started to try 2 or -2 and found that -2 is indeed a zero solution.
so, the first factors are
f(x) = (x + 2)(x² + ...)
let's divide (x³ - 4x² - 5x + 14) by (x + 2) to get the x² term.
x³ - 4x² - 5x + 14 ÷ x + 2 = x² - 6x + 7
- x³ + 2x²
--------------
0 -6x² - 5x
- -6x² - 12x
----------------
0 7x + 14
- 7x + 14
------------
0 0
f(x) = (x + 2)(x² - 6x + 7)
the zeros for x² - 6x + 7 we get from the general solution for a quadratic equation
ax² + bx + c = 0
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = (6 ± sqrt((-6)² - 4×1×7))/(2×1) =
= (6 ± sqrt(36 - 28))/2 = (6 ± sqrt(8))/2 =
= 3 ± sqrt(8/4) = 3 ± sqrt(2)
x1 = 3 + sqrt(2)
x2 = 3 - sqrt(2)
so, the zeros are
-2, 3 - sqrt(2), 3 + sqrt(2)
K=2; f(x)=-x^3 -2x ^2+3 answer
The value of the function f(x) = [tex]x^3-2x^2+3[/tex] when x = 2 is f(2) = 3
The given function is
f(x) = [tex]x^3-2x^2+3[/tex]
The function is the mathematical statement which represents the relationship between one variable and another variable. If one variable is dependent variable the other variable will be independent variable.
The given function is
f(x) = [tex]x^3-2x^2+3[/tex]
The value of x = 2
Then substitute the value of x in the function
f(x) = [tex]x^3-2x^2+3[/tex]
f(2) = [tex]2^3-2(2)^2+3[/tex]
Solve the power of each terms
f(2) = 8 - 8 + 3
Do the arithmetic operations
f(2) = 3
Hence, the value of the function f(x) = [tex]x^3-2x^2+3[/tex] when x = 2 is f(2) = 3
The complete question is:
Find the value of f(x) = [tex]x^3-2x^2+3[/tex] , when x = 2
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7v-7-4v-10=v+7-4v help now pleas
Answer:
v = 4
Step-by-step explanation:
[tex]collect \: like \: terms \: \\ 7v - 4v - v + 4v = 7 + 7 + 10\\ 3v - v + 4v = 14 + 10\\ \\ 2v + 4v = 24 \\ 6v = 24 \\ v = 4[/tex]
PLEASE HELP DUE RIGHT NOW
WILL MARK BRAINLIEST IF YOU HELP
please actually help though dont just comment for points, or put links i will report you
Answer: : (4 – 5) – (13 – 18 + 2).
Step-by-step explanation:
hoped dat helped
When we add any two multiples of 5 and 10 we sometimes,always or never get a number ending in 2.
Sometimes
Never
Always
Answer:
Never
Because for example; 25(the multiple of 5) + 20(the multiple of 10) equals 45
Answer:
Step-by-step explanation:
never
can someone help with this? there is also a part two. picture is provided :) (not pt 2)
Solution of the given equation x² -6x +10 =0 using quadratic formula or perfect square method is same in complex number and is equal to 3 + i or 3 - i.
As given in the question,
Given equation is:
x² -6x +10 = 0
Complex number i² = -1
Using perfect square method:
x² -6x + 9 +10 -9 =0
⇒x² -6x +9 =-1
⇒ (x - 3)² = (i)²
⇒x-3 = ± i
⇒ x= 3 ± i
Using quadratic formula,
x = [ -(-6) ±√ (-6)² -4(1)(10)] / 2(1)
=( 6 ± √-4)/ 2
= (6± √4i²) /2
= (6 ± 2i) / 2
= 3 ± i
Therefore, solution of the given equation x² -6x +10 =0 using quadratic formula or perfect square method is same in complex number and is equal to 3 + i or 3 - i.
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a) Find the circumference of a circle whose radius is 4 inches. Round to the nearest tenth.
b) Find the length of if mACB = 60º and the radius of the circle is 4 inches. Round to the nearest tenth.
Complete your work in the space provided.
The circumference of the circle is 25.1 inches.
The length of the arc ACB is 4.2 inches.
How to find circumference of a circle?The circumference of a circle is the perimeter of the circle.
Therefore,
circumference of a circle = 2πr
where
r = radiusHence,
circumference of a circle = 2 × 3.14 × 4
circumference of a circle = 8 × 3.14
circumference of a circle = 25.1 inches
The length of the arc ACB can be found as follows:
length of arc = ∅/ 360 × 2πr
length of the arc = 60 / 360 × 2 × 3.14 × 4
length of the arc = 60 / 360 × 25.12
length of the arc = 1507.2 / 360
length of the arc = 4.18666666667
length of the arc = 4.2 inches
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Given that 150 students were interviewed, 85 signed for mathematics, 70 signed for English, and 50 signed for both. Draw a venn diagram to show.
How many signed for only mathematics
Answer: 35
Step-by-step explanation:
If 85 students signed up for mathematics but 50 of those students also signed up for both then you need to subtract 85 from 50 to get 35.
A company's policy is to spend no more than $350,000 a year for salaries. The president's salary is $110,000. The salaries of the eight other employees are equal. How much can be spent on each salary?
Graph the solution of this inequality: 2x - 7 > 3 or 4 -x < -4
The solution for the given inequality has been graphed in detail.
What is linear inequality?A linear inequality can be gives the values for a variable in an interval of numbers.
Given inequalities are as below,
2x - 7 > 3 and 4 - x < -4
They can be simplified as,
2x - 7 > 3
=> 2x > 10
=> x > 5
And,
4 - x < -4
=> x - 4 > 4
=> x > 8
The solution of the given inequality is the intersection of two solutions x > 5 and x > 8, which is x > 8.
This is graphed as follows,
Hence, the given inequality has solution x > 8 which has been graphed.
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If 8 g of a radioactive substance are present initially and 3 yr later only 4 g remain, how much of the substance will be present after 7 yrs?
Luis bought a $2,100 TV and had to make a 20% down payment at the time of purchase. What was his down payment price?
Answer:
Luis had to make a $420 down payment
Step-by-step explanation:
10%: $2,100 / 10 = $210
20%: $210 x 2 = $420
One number exceeds another by 7. The sum of the numbers is 27. What are the numbers?
The numbers are
(Use a comma to separate answers.)
K
Answer:
10, 17
Step-by-step explanation:
let the number be n then the other number is n + 7 and
n + n + 7 = 27
2n + 7 = 27 ( subtract 7 from both sides )
2n = 20 ( divide both sides by 2 )
n = 10
n + 7 = 10 + 7 = 17
the numbers are 10, 17
A town's population is 43,200. About 125 people move out of the town each month. Each month, 175 people on average move into town. A nearby town has a population of 45,900. It has no one moving in and an average of 175 people moving away every month. In about how many months will the populations of the towns be equal? Write an equation to model the situation. Then solve the equation and answer the question.
The equation to model the situation is given below. And the months will the populations of the towns be equal will be 12.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A town's populace is 43,200. Around 125 individuals move out of the town every month. Every month, 175 individuals on the normal move into town. A close by the town has a populace of 45,900. It has nobody moving in and a normal of 175 individuals moving away consistently.
Let y be the total population and x be the number of months. Then the equations are given as,
y = (175 - 125)x + 43200
y = 50x + 43200 ...1
y = -175x + 45900 ...2
From equations 1 and 2, then we have
50x + 43200 = - 175x + 45900
50x + 175x = 45900 - 43200
225x = 2700
x = 2700 / 225
x = 12
The months will the populations of the towns be equal will be 12.
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To go to the theater you would pay $8.00 for each ticket you purchase. Which answer choice correctly represents the algebraic expression for the cost of t tickets?
A. 8t
B. 8 + t
C. 8 – t
D.
The algebraic expression that correctly represents the cost of t tickets is 8t , the correct option is (a) .
In the question ,
it is given that
the cost of 1 ticket for the theater is = $8.00
let the number of ticket be = t
so , the cost for t tickets = (cost of 1 ticket ) × ( number of tickets )
Substituting the values of number of tickets and cost of 1 ticket ,
we get ,
cost for t tickets = 8 × t
= 8t
Therefore , The algebraic expression that correctly represents the cost of t tickets is 8t .
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Consider a particle moving along the x-axis where
x(t)
is the position of the particle at time t,
x ′(t)
is its velocity, and
x ″(t)
is its acceleration
Regarding the velocity and acceleration functions, it is found that:
b) The particle is moving to right on these following intervals: (0,1) U (3,10).
c) The velocity when the acceleration is of zero is: -1 m/s.
When a particle is moving to right?A particle is moving to right when it's velocity is positive.
In this problem, the velocity function is presented as follows:
v(t) = 3t² - 12t + 9.
The velocity function is a concave up quadratic function, which is positive to left of the smaller root and to the right of the larger root.
The roots of the function are given as follows:
v(t) = 3(t² - 4t + 3)
Then:
3(t² - 4t + 3) = 0
t² - 4t + 3 = 0
(t - 1)(t - 3) = 0.
t - 1 = 0 -> t = 1.t - 3 = 0 -> t = 3.Considering the domain of the function, the intervals in which the car is moving right are:
(0,1) U (3,10).
What is the velocity when the acceleration is of zero?The acceleration is given by the following equation:
a(t) = 6t - 12.
It is of zero when:
6t - 12 = 0
6t = 12
t = 12/6
t = 2.
The velocity at this instant is of:
v(2) = 2² - 4(2) + 3 = -1 m/s.
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Do you think the blue dot represents the y-intercept of this line? Why or why not?
Answer:
No, the point is on the x-axis, it is not a y-intercept.
Scott must choose a number between 55 and 101 that is a multiple of 2,4, and 5. Write all the numbers that he could choose.
Answer:
60, 80, 100
Step-by-step explanation:
All 3 of these numbers are between 55 and 101, and can be divided by all 3 numbers provided.
Rapunzel's team participated in a total of 143 wrestling matches. Rapunzel participated in 67 percent of the wrestling matches. What fraction of the wrestling matches did Rapunzel participate in?
Using the percentage, Rapunzel participated in 9581/100 matches.
In the given question we have to find the fraction of the wrestling matches did Rapunzel participate in.
Rapunzel's team participated in a total of 143 wrestling matches.
Rapunzel participated in 67 percent of the wrestling matches.
Total matches = 143
Participated in = 67%
Total number of matches in which Rapunzel participated is
= 143*67%
= 143* 67/100
= 9581/100
Rapunzel participated in 9581/100 matches.
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1. Ryan says that if a number is divisible by both 2 and 5, then it is also divisible by 10. Do you agree
with Ryan? Explain.
Answer: Yes
Step-by-step explanation:,
The factors of 10 are 2 and 5 any number divisible by 10 will also be divisible by both 2 and 5.
Hope this helps! ^-^ Have a good day! :)
Answer:
Yes, Because factors of 10 are 1,2,5,10.
So all numbers divisible by 10 must be divisible by 2 and 5.
Step-by-step explanation:
A rectangular fish tank has a base that is 4 inches by 9 inches. How much water will it take to fill the tank to a depth of 3 inches? A 150 cubic inches B 685 cubic inches C 108 cubic inches 16 cubic inches
Answer:
C: 108 cubic inches
Step-by-step explanation:
This problem is simply asking us to calculate volume, and in a rectangular shape can be calculate as: length * width * height
Since we know that the base is 4 inches by 9 inches, we already have the length and width.
We're also given that the depth, which in this case is our height, as 3 inches.
So we multiply these three numbers: [tex]4 \text{ in} * 9 \text{ in} * 3\text{ in} = 108\text{ in}^3[/tex]
So our answer is 108 cubic inches
parallel lines, traversal, and algebra
need help!
The values of the variables, x and y in the angles formed by the parallel lines that have a common transversal are;
x = 4°, y = 10°
11. x = 9°, y = 12°
12. x = 14°, y = 5°
13. x = 8°, y = 11°
14. x = 16°, y = 23°
15. x = 9°, y = 13°
What are parallel lines?Parallel lines are lines that maintain the same distance from each other along their lengths.
From the figure, we get;
(29·x - 3) and (15·x + 7) are linear pair angles, therefore;
(29·x - 3) + (15·x + 7) = 180°
44·x + 4 = 180
x = (180 - 4)/44 = 4
x = 4°
(15·x + 7) and (13·y - 17) are same side exterior angles between parallel lines, therefore;
(15·x + 7) + (13·y - 17) = 180°
(15×4 + 7) + (13·y - 17) = 180°
67 + 13·y - 17 = 180°
50 + 13·y = 180
13·y = 180 - 50 = 130
y = 130 ÷ 13 = 10
y = 10°
11. (18·x - 44)° and (8·x - 10)° are same side exterior angles, therefore;
(18·x - 44)° + (8·x - 10)° = 180°
26·x - 54 = 180
x = (180 + 54)/26 = 9
x = 9°
(8·x - 10)° and (13·y - 38)° are linear pair angles, therefore;
(8·x - 10)° + (13·y - 38)° = 180°
(8 × 9 - 10)° + (13·y - 38)° = 180°
62 - 38 + 13·y = 180
13·y = 180 - (62 - 38) = 156
y = 156 ÷ 13 = 12
y = 12°
12. (9·x - 2)° and (5·x + 54)° are corresponding angles, therefore;
(9·x - 2)° = (5·x + 54)°
(9·x - 2)° = (5·x + 54)°
9·x - 5·x = 54 + 2 = 56°
4·x = 56°
x = 56° ÷ 4 = 14°
x = 14°
(9·x - 2)° and (10·y + 6)° are linear pair angles, therefore;
(9·x - 2)° + (10·y + 6)° = 180°
(9 × 14 - 2)° + (10·y + 6)° = 180°
124 + 6 + 10·y = 180
10·y = 180 - 130 = 50
y = 50 ÷ 10 = 5
y = 5°
13. The angle to which the angle (8·x - 1)° is an alternate interior angle is a corresponding angle to the angle (11·x - 25)°, therefore;
(8·x - 1)° is congruent to angle (11·x - 25)°
(8·x - 1)° = (11·x - 25)°
11·x - 8·x = 25 - 1 = 24
3·x = 24
x = 24 ÷ 4 = 8
x = 8°
Angles (15·y - 48)° and (8·x - 1)° are linear pair angles, therefore;
(15·y - 48)° + (8·x - 1)° = 180°
(15·y - 48)° + (8 × 8 - 1)° = 180°
(15·y - 48)° + 63° = 180°
15·y + 15° = 180°
15·y = 180° - 15° = 165°
y = 165° ÷ 15 = 11°
y = 11°
14· The angle (4·x + 4)° and (7·x - 44)° are alternate exterior angles, therefore;
(4·x + 4)° = (7·x - 44)°
7·x - 4·x = 44° + 4° = 48°
3·x = 48°
x = 48° ÷ 3 = 16°
x = 16°
The vertical angle to angle 39° is a linear pair angle to the angle (8·y - 43)°
Therefore;
39 + 8·y - 43 = 180°
8·y = 180 + 43 - 39 = 184
y = 184 ÷ 8 = 23
y = 23°
15. The diagram indicates that the angles (15·x - 26)° and (12·x + 1)° are congruent, therefore;
(15·x - 26) = (12·x + 1)
(15·x - 12·x) = (26 + 1)
3·x = 27
x = 27 ÷ 3 = 9
x = 9°
The vertical angle to (2·x + 1) is therefore;
12·x + 1 = 12 × 9 + 1 = 109
The angle sum property indicates that we have;
28° + 109° + (4·y - 9)° = 180°
(4·y - 9)° = 180° - (28° + 109°) = 43°
(4·y - 9)° = 43°
(4·y)° = 43° + 9° = 52°
y = 52°/4 = 13°
y = 13°
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Find a number that is 6 times as large as 9 minus 3
The required number is 1 which represents "6 times as large as 9 minus 3".
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is reasoning.
We have to determine the number that is "6 times as large as 9 minus 3".
Let the required number would be x
Translate the phrase "6 times as large as 9 minus 3" into the algebraic form :
⇒ 6 × x = 9 - 3
⇒ 6x = 6
⇒ x = 6 / 6
⇒ x = 1
Thus, the required number is 1 which represents "6 times as large as 9 minus 3".
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Pls help giving brainliest
Answer:5) gcf=6 lcm=42 | 6) gcf=2 lcm=270 | 7) gcf=2 lcm=224
Step-by-step explanation:
dont know how to do this either if u could feel free to help me
The graph that beast describes the slope of -2/3 passing through points (-1, 0) is in option c
How to determine the graph that matches the slope and the pointsInformation given in the question include
a linear function graph
The data is plotted as a linear function
What is linear function ?A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
The slope is represented as m, The slope by definition is the ratio change of the output values to the input values
the slope, m = -2/3
negative slopes slants from top left to bottom right as in a and c
from the graph, option c has points (-1, 0) and (0, -2/3)
m = (-2/3 - 0) / (0 - -1)
m = (-2/3) / (0 + 1)
m = -2/3
This matches with option C
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In their October 2003 issue, Consumer Reports evaluated the price and performance of 23
models of cordless phones. Computer output gives these summaries for the prices:
a. Were any of the prices outliers? Explain how you made your decision.
b. One of the manufacturers advertises a cordless phone “economy-priced at only $31.95”.
Would you consider that to be a very low price? Explain.
Considering the five number summary of the data-set, we have that:
a. None of the prices were outliers, as all the prices are within 1.5 IQR of the quartiles.
b. That is not a very low price, as it is above the first quartile, while very low prices have to be 1.5 IQR below the first quartile.
How to identify outliers on the five number summary?The outliers, considering the five number summary of a data-set, are the values that are more than 1.5 Interquartile Ranges from the quartiles, that is, either:
1.5 IQR below the first quartile, which is a low outlier.1.5 IQR above the third quartile, which is a higher outlier.The interquartile range of a data-set is the difference between the third quartile and the first quartile, hence, for the given data-set:
IQR = Q3 - Q1 = 110 - 30 = 80.
Hence the bounds for outliers are given as follows:
Low outliers: 30 - 1.5 x 80 = -90. (there will be no low outliers).High outliers: 110 + 1.5 x 80 = 230.Since the maximum value of 200 is less than 230, there are no outliers in the data-set.
Missing InformationThe five number summary is given by the image at the end of the answer.
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The equation m = 4b represents the time in minutes (m) it takes a chef to cook a certain number of bacon cheeseburgers (b).
Determine the constant of proportionality.
one fourth
1
4
8
For given equation, the constant of proportionality is 4
In this question, we have been given an equation m = 4b that represents the time in minutes (m) it takes a chef to cook a certain number of bacon cheeseburgers (b).
We need to determine the constant of proportionality.
We know that the the constant of proportionality is nothing but the ratio of two proportional values.
In this case the time a chef needs to cook depend on the number of bacon cheeseburgers (b).
So, m is directly proportional to the b
Therefore, the constant of proportionality is 4
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Answer:
The answer is 4
Step-by-step explanation:
I hope this helps!!
The diagram shows a triangle. Complete parts a and b below. (4 points)
53⁰
8p+10°
2p+17°
A- write an equation and solve for p. Show all work.
B-List the measures of the three angles.
The value of p is 10 and the angles of the triangles are 53°, 90°, 37°.
Given that,
In the picture there is a triangle with angles 53°, 8p+10°, 2p+17°.
We have to find the p value and each of the angles also.
What is angles in triangles?While the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it, the interior angles of a triangle always add up to 180°. By deducting the angle of the target vertex from 180°, one can also determine a triangle's exterior angle.
Take the angles ,
180 degrees is the sum of the angles in an triangle.
53°+ 8p+10°+ 2p+17°=180°
10p+80°=180°
10p=180°-80°
10p=100°
p=100/10
p=10°
The value of p=10.
The angles of the triangles are:
53°
8p+10=8(10)+10=80+10=90°
2p+17=2(10)+17=20+17=37°
Therefore, The value of p is 10 and the angles of the triangles are 53°, 90°, 37°.
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