Answer:
1.70
8.40
130.200
7.120
6.60
142.30
Step-by-step explanation:
The decimal numeral system is the standard system for denoting integer and non-integer numbers.
Decimal is a point which denotes integer and non-integer numbers (mah own answer)
Majka Company was started on January 1, Year 1. During Year 1, the company experienced the following accounting events: (1) Issued 52,500 worth of common stock (2) earned cash revenues of $33,400, (3) paid cash expenses of $14,800, and (4) paid a $3,100 cash dividend to its stockholders. These were the only events that affected the company during Year 1.
The cash from financing activities for Majka Company, can be found to be
How to find the cash from financing activities ?The net amount of financing a business generates during a specific time period is called cash flow from financing activities. The issuing and repayment of equities, the payment of dividends, the issuance and repayment of debt, and capital lease obligations are all examples of financial activity.
The cash from Financing activities for Majka Company is therefore:
= Common stock issued - Cash dividends
= 52, 500 - 3, 100
= $ 49, 400
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The full question is:
Majka Company was started on January 1, Year 1. During Year 1, the company experienced the following accounting events: (1) Issued 52,500 worth of common stock (2) earned cash revenues of $33,400, (3) paid cash expenses of $14,800, and (4) paid a $3,100 cash dividend to its stockholders. These were the only events that affected the company during Year 1.
What were the cash flows from financing for the year?
The table below represents a frequency distribution for the age (in years) of employees at a particular company.
Age (in years) Frequency
23-29
25
30-36
41
37-43
37
Use the table to answer the following questions.
Your answers should be exact numerical values
The class width used for the frequency distribution is
The class midpoint for the class 23-29 is
The class midpoint for the class 30-36 is
The class midpoint for the class 37-43 is
Check
The class width used for the frequency distribution is 6.
The class midpoint for the class 23-29 is 26.
The class midpoint for the class 30-36 is 33.
The class midpoint for the class 37-43 is 40.
To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:
23-29
30-36
37-43
For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:
Class width = 29 - 23 = 6
So, the class width for the frequency distribution is 6.
To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.
For the class 23-29:
Class midpoint = (23 + 29) / 2 = 52 / 2 = 26
For the class 30-36:
Class midpoint = (30 + 36) / 2 = 66 / 2 = 33
For the class 37-43:
Class midpoint = (37 + 43) / 2 = 80 / 2 = 40
So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.
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HELP PLZ DUE IN 10 MINUTES
Answer:
13m + 8
Step-by-step explanation:
20m - 7m = 13m
3 - -5 = 8 two negatives makes a plus
13m + 8
SOMEONE HELP PLZZZ ASAP
Answer:
Answer:
(2x−1)(2x−1)(2x−1)(2x−1)
Step-by-step explanation:
Factor 16x4−32x3+24x2−8x+1
16x4−32x3+24x2−8x+1
=(2x−1)(2x−1)(2x−1)(2x−1)
For each ordered pair (x, y), determine whether it is a solution to the inequality y≤0.
(8,-43)
(4.-22)
(-3,25)
(-7,45)
Is it a solution?
Answer:
(8,-43)
(4,-22)
Step-by-step explanation:
In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.
For example:
(4,-22)
x=4 ; y=-22
Plug y into the inequality
y≤0
-22≤0
Since the statement is true, I know that (4,-22) must be a solution to the inequality.
Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.
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Have a GREAT day!!!
Answer:
Step-by-step explanation:
To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.
Let's check each ordered pair:
(8, -43):
The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.
(4, -22):
The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.
(-3, 25):
The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.
(-7, 45):
The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.
So, the solutions to the inequality y ≤ 0 are:
(8, -43) and (4, -22).
How many times greater is 6.45 than 0.01?
Answer:
645
Step-by-step explanation:
Answer:
645
Step-by-step explanation:
6.45 divided by 0.01
Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
First United Bank pays 4% simple interest on their savings accounts. Second Federal Bank pays 4% interest compounded annually on their savings accounts. If you invest $1,000 in each bank, how much will you have in your accounts after twenty years? Why are the balances different?
We will have $1800 in account for United Bank and $2191.12 in account for Federal bank and the balance differ by $391.12 .
Simple Interest can be calculated using the formula
SI=(P*R*T)/100 ...(i)
where P=principal , R= rate per annum , T= time in years.
In the given Question
For United Bank the interest is Simple interest,
principal = $1000
rate of interest = 4%
Time = 20 years
Substituting the given values in equation (i) we get
SI=(1000*4*20)/100
=80000/100
=800
The Simple Interest is $800
The final amount in United Bank after 20 years = $1000+$800 = $1800
For Federal Bank
Since interest is compounded annually Compound Interest Formula for Amount will be used
In Compound Interest the final Amount is calculated using \(Amount = P*(1+\frac{r}{n} )^{nt}\) ....(ii)
Given the values
principal = $1000
rate of interest = 4% = 0.04
Time = 20 years
n=1 ( as rate is calculated annually )
Substituting the given values in equation (ii) we get
A=1000*(1+0.04)²⁰
=1000*(1.04)²⁰
=2191.12
the amount in Federal bank after 20 years = $2191.12
Difference in amount = Amount in Federal Bank - Amount in United Bank
=$2191.12 - $1800
=$391.12
Therefore , We will have $1800 in account for United Bank and $2191.12 in account for Federal Bank and the balance differ by $391.12 .
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F. Why would a linear function describing an investment made at a bank have a minimum
value but no maximum value? Explain your reasoning.
Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.
Step-by-step explanation:
Tyrone put 1/3 teaspoon of salt in a batch of cookie dough. He thought that might not been enough salt, so he added another 1/4 teaspoon. How much salt did Tyrone use in total?
Answer:
7/12 of salt.
1/4 + 1/3 =
1/3 + 1/4 =
4/12 + 3/12 = 7/12.
Step-by-step explanation:
Hope it helps! =D
Please help with this math question!
Answer:
\(2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25\)
Solve the system of equations below.
{2x−y=3x+2y=−6
Answer:
Step-by-step explanation:
y=7 so (2x y) =14 (3x + 2y =
The solution of the linear system of the equation is (0, −3).
What is linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equations are given below.
2x − y = 3
x + 2y = −6
Then the solution to the equation will be given by the elimination method. Then we have the equation.
4x − 2y = 6 ...1
x + 2y = −6 ...2
Add equations 1 and 2, then we have
5x = 0
x = 0
Then the value of y will be
2y = −6
y = −3
Then the solution of the linear system of the equation is (0, −3).
And the graph is given below.
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Find the missing side of a triangle with one side being 8. Simplify all radicals.
ANSWER
8√2
EXPLANATION
This square is formed by two right triangles. Those triangles are congruent, and the only missing side is the hypotenuse, which we can find using the Pythagorean Theorem,
In this problem, both legs have lengths of 8 units, so the hypotenuse is,
\(c=\sqrt[]{8^2+8^2}=\sqrt[]{2\cdot8^2}=\sqrt[]{2}\cdot\sqrt[]{8^2}=8\sqrt[]{2}\)Hence, the missing side of these triangles - which is also the diagonal of the square, is 8√2 units long.
Question: write an equation for each parabola with vertex at the origin
Problem: through (3,2); symmetric with respect to the x axis
Step-by-step explanation:
Since the axis of symmetry is the x axis, we have a sideways parabola,
\( {y}^{2} = x\)
Since the vertex is at the orgin, our answer will be
\(a(y - k) {}^{2} + h = 0\)
\(a {y}^{2} = x\)
It passes through (3,2).
\(a(2) {}^{2} = 3\)
\(a(4) = 3\)
\(a = \frac{3}{4} \)
So our function is
\( \frac{3}{4} {y}^{2} = x\)
Answer:
\(x=\dfrac34y^2\)
Step-by-step explanation:
A graph with x-axis symmetry means that for every (x, y) point there is also a (x, -y) point on the graph, i.e. the x-axis acts like a mirror. Therefore, it is a sideways parabola.
The general form of this type of equation is \(x=ay^2+by+c\)
Since we know that the curve has a vertex of (0, 0) then \(c=0\)
Therefore, \(x=ay^2+by\)
Given that (3, 2) is on the curve, then (3, -2) is also on the curve.
Substituting the given point (3, 2):
\(3=a(2)^2+b(2)\)
\(3=4a+2b\)
Substituting the given point (3, -2)
\(3=a(-2)^2+b(-2)\)
\(3=4a-2b\)
Adding the equations together to eliminate \(b\):
\(\implies 6=8a\)
\(\implies 3=4a\)
\(\implies a=\dfrac34\)
Therefore,
\(x=\dfrac34y^2+by\)
Again, substituting point (3, 2) means that b = 0
Therefore, the final equation is:
\(x=\dfrac34y^2\)
Reduce this fraction: 5/25x
Answer:
1/5x
Step-by-step explanation:
1/5x
Use the parabola tool to graph the quadratic function f(x) =2x2 - 12x+11 graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
vertex: (3, -7)point: (4, -5)Step-by-step explanation:
You want the vertex and another point on the parabola f(x) = 2x² -12x +11.
VertexThe equation can be put into vertex form as follows:
f(x) = 2(x² -6x) +11 . . . . . . . factor the leading coefficient from the variable terms
f(x) = 2(x² -6x +9) +11 -2(9) . . . . add (6/2)² = 9 inside parentheses, subtract the same amount outside
f(x) = 2(x -3)² -7 . . . . . . . . simplify to vertex form
Comparing this to the vertex form equation ...
f(x) = a(x -h)² +k
we see that a=2, h=3, k=-7.
The vertex is (h, k) = (3, -7). This is one point on the parabola.
A second pointWe can use a value for x that is near the value of h to obtain another point on the parabola without much work. Using x = 4, we have ...
f(4) = 2(4 -3)² -7 = 2(1) -7 = -5
Another point is (x, y) = (4, -5).
You can plot the vertex (3, -7) and the point (4, -5) to obtain your graph of the parabola using the parabola tool.
__
Additional comment
The points and the parabola are shown in the attached graph.
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The ratio of marbles to sticks is 5:8. The ratio of sticks to stones is
5:7. What is the reduced ratio of marbles to stones?
Answer:
25 : 56Step-by-step explanation:
Let the marbles = x, sticks = y, stones = z.
Given:
x / y = 5/ 8and
y / z = 5/ 7Solve for x and z as per above ratios:
x = 5y / 8z = 7y / 5Find the ratio:
x / z = 5y / 8 ÷ 7y / 5x/ z = 5y / 8 × 5 / 7yx / z = 25 / 56A student was asked to give the exact solution to the equation
22x+4-9(2) = 0
The student's attempt is shown below:
22x+49(2)=0
22x+24-9(2) = 0
Let 2* = y
y²-9y+8=0
(y-8)(y-1)=0
y = 8 or y=1
So x = 3 or x = 0
(a) Identify the two errors made by the student.
(b) Find the exact solution to the equation.
(a) The errors made by the student are:
Incorrectly expanding 49(2) as 24 instead of 98.
Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of
\(y^{2} - 9y + 8.\)
(b) The exact solution to the equation is x = 7/11.
(a) The student made two errors in their solution:
Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.
Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)
(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:
Starting with the original equation: \(22x + 4 - 9(2) = 0\)
Simplifying: 22x + 4 - 18 = 0
Combining like terms: 22x - 14 = 0
Adding 14 to both sides: 22x = 14
Dividing both sides by 22: x = 14/22
Simplifying the fraction: x = 7/11
Therefore, the exact solution to the equation is x = 7/11.
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On the last day of a Shakespeare class, an English teacher asked her students which play they liked most. Out of the 15 students who have submitted responses so far, 5 liked Much Ado About Nothing best. What is the experimental probability that the next student to respond likes Much Ado About Nothing best? Simplify your answer and write it as a fraction or whole number. A. P(Much Ado About Nothing) = 1/3 B. P(Much Ado About Nothing) = 1/4 C. P(Much Ado About Nothing) = 1/2 D. P(Much Ado About Nothing) = 5/8
The experimental probability is:
\(P=\frac{5}{15}=\frac{1}{3}\)this comes from the fact that we used what we know so far to calculated, then we make the quotient between the number of times the event has occured and the total number of trials.
Therefore the answer is A.
24,31,12,38,12,15
find the mean, median, mode, and range
Answer:
Mean=22
Median=19.5
Mode=12
range=26
Step-by-step explanation:
mean - 12 +12+15+24+31+38 = 132 / 6 =22
median - 15+24 / 2 = 39/2=19.5
mode - 12
range - 38-12 = 26
Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (See the figure below for the sample space of this experiment. Enter your probability as a fraction.)
At least 11
The probability that the sum of the pips selected that is at least 11 would be = 1/12.
How to determine the probability of the selected events?To determine the probability of the selected events, the formula for problem should be used which is given below;
Probability = possible outcome/sample space
Possible outcome = at least 11 = (5,6),(6,5),(6,6)
= 3
Sample space = 36
Probability = 3/36 = 1/12
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Garrett needs 3 gallons of fruit juice to make punch.
He already has 5/6 gallon of grape juice and 2/3 gallon of orange juice.
Drag amounts of juice that he can add to the juice he already has to make exactly 3 gallons.
Answer:
3 of each gallon
Step-by-step explanation:
It worked for me on ttm
Answer:
4 of 1/3 and 1 of 1/6
Step-by-step explanation:
5/6+2/3=9/6
9/6+4/3=17/6
17/6+1/6=18/6
18/6=3
How did you find the answer???
Suppose the population of a small town is 567 she has a lot of the population decreases the rate of 1.5%. Every year will be the population of a town thousand 20 Round your answer to the nearest whole number.
Answer:
Assuming "she" in the question is a typo and it should be "if", here's the solution:
If the population of a small town is 567, and it decreases at a rate of 1.5% per year, we can find the population after 20 years using the formula:
P = 567 * (1 - 0.015)^20
where P is the population after 20 years.
Simplifying this expression, we get:
P = 567 * 0.742 = 420.414
Rounding this to the nearest whole number, we get:
P ≈ 420
Therefore, after 20 years, the population of the small town would be approximately 420.
wefnwiaedfgaeraeoefmwek :
Answer:
whatdoesthatmean
Step-by-step explanation:
what is the length of the hypotenuse in a right triangle?
Answer:
the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
Jerrica and her brother like to play chess. About a month ago they decided to keep track of how manygames they have won. As of today, Jerrica has won 20 out of the 35 games against her brother.
a. How many games would Jerrica have to win in a row in order to have an 80% winning record?
Justify your answer.
Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.
To determine how many games Jerrica would have to win in a row in order to have an 80% winning record, we need to calculate the number of games she needs to win out of a certain total.
Let's denote the number of games she needs to win in a row as x. If she wins x additional games, her total wins would be 20 + x, and her total games played would be 35 + x.
To have an 80% winning record, she would need to win 80% of the total games played. Mathematically, this can be expressed as:
(20 + x) / (35 + x) = 80 / 100
Cross-multiplying, we get:
100(20 + x) = 80(35 + x)
Expanding and simplifying:
2000 + 100x = 2800 + 80x
Subtracting 80x from both sides:
20x = 800
Dividing by 20:
x = 40
Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.
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Adam’s prepaid card charges a one-time opening fee and a monthly fee. The table below shows his total fees after x months.
x # of months y total fees ($)
2 27
3
4
5 60
a. How much is the initial opening fee?
b. How much is the monthly maintenance fee?
c. Write an equation to model Adam’s fees over time.
Based on a system of equaitons, the initial opening fee (one-time payment) is $5.00, the monthly maintenance fee is $11.00, while an equation that models Adam's fees over time in months, x is y = 11x + 5.
What is a system of equations?A system of equations or simultaneous equations are two or more equations solved concurrently or at the same time.
An equation is a mathematical statement showing the equality or equivalence of two or more algebraic expressions.
While algebraic expressions combine variables with numbers and mathematical operands, equations use the equal symbol (=).
Total Fees after x months
x = # of months y = total fees ($)
2 27
3 38 (11 x 3 + 5)
4 49 (11 x 4 + 5)
5 60
Let w = the monthly maintenance fee
Let z = the one-time opening fee
Equations:5w + z = 60 ... Equation 1
2w + z = 27 ... Equation 2
Subtract Equation 2 from Equation 1:
3w = 33
w = 11
b) The monthly maintenance fee is $11.00.
a) The initial (one-time) opening fee is $5.00.
z = 60 - 55
= 5
c) The total fees after x months is y = 11x + 5.
Thus, the one-time opening fee and the monthly maintenance fee can be computed using a system of equations.
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50 POINTS
Ron has a homeowner’s insurance policy, which covers theft, with a deductible of d dollars. Two bicycles, worth b dollars each, and some tools, worth t dollars, were stolen from his garage. If the value of the stolen items was greater than the deductible, represent the amount of money the insurance company will pay algebraically.
Algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).
Let's denote the amount of money the insurance company will pay as P. In this scenario, if the value of the stolen items is greater than the deductible, the insurance company will cover the loss, and Ron will receive compensation for the stolen items.
The total value of the stolen items can be calculated by adding the value of the bicycles (2b) and the value of the tools (t). So, the total value of the stolen items is 2b + t.
If the total value of the stolen items is greater than the deductible (d), then the insurance company will pay the difference between the total value and the deductible. Mathematically, this can be represented as:
P = (2b + t) - d
Therefore, algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).
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The surface area of a sphere is 900pi cubic cm. What is the length of its diameter.
The length of the diameter of the sphere is 30 cm.
The surface area of a sphere is given by the formula:
\(A = 4\pi r^2\)
where A is the surface area and r is the radius of the sphere.
We are given that the surface area of the sphere is 900π cubic cm. Therefore:
\(A = 4\pi r^2 = 900\pi\)
Dividing both sides by 4π, we get:
\(r^2 = 225\)
Taking the square root of both sides, we get:
r = 15
The diameter of the sphere is twice the radius, so:
d = 2r = 30
Therefore, the length of the diameter of the sphere is 30 cm.
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