Answers
The both are correct because the same correct response was obtained in each case.
Why are both correct?If we look at the both solutions, the basic rules for the operations on inequalities were obeyed. In this case, we are seeing that both Marta and Kareen followed through the correct procedure.
For the fact that correct sign was maintained in each of the cases implies that what we have now is the correct solution of the problem that we have in this case of the problem here stated in the question.
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Related Questions
The average individual in a country earns an annual salary of $82,000, of which
$32,800 is spent on housing, $14,760 on food, $14,760 on transportation, and $19,680
on other goods and services. Suppose the government in this country mandates that
all salaries and the prices of all goods and services be reduced by 40 percent.
Instructions: Enter your answers as a whole number.
a. How much does the average individual now earn?
$
b. How much does the average individual now spend on housing, food, transportation,
and other goods and services?
Housing: $
Food: $
Transportation: $
Other goods and services: $
What happened to the average individual's real salary?
Answers
Answer:
a) $49,200
b)
Housing: $19,680
Food: $8,856
Transportation: $8,856
Other goods and services: $11,808
c) Average real salary is unchanged at $0
Step-by-step explanation:
Since salaries and expenses are reduced by 40% if any of the amounts was originally $x, the reduction is 40% of $x = 0.4x (1% = 1/100)
Therefore reduced value = original value - reduction amount
= x - 0.4x
= 0.6x
Applying this to the various dollar values provided will help us answer the questions
Real income before reduction
= Salary - expenses
= 82,000 - (32,800 + 14,760 + 14,760 + 19,680)
= 0
So the average individual real income is $0
a) How much does the average individual now earn?
New salary = 0.6 x old salary
= 0.6 x $82,000
= $49,200
b) How much does the average individual now spend on housing, food, transportation, and other goods and services?
Housing: 0.6 x $32,800 = $19,680Food: 0.6 x $14,760 = $8,856Transportation: 0.6 x $14,760 = $8,856Other goods and services: 0.6 x $19,680 = $11,808Total expenses after reduction = $19,680 + $8,856 + $8,856 + $11,808
= $49,200
Real income after reduction of salary and expenses
= $49,200 - $49,200 = 0
So the average salary stays the same at $0
Two cars leave towns 680 kilometers apart at the same time and travel toward each other. One car's rate is 16 kilometers per hour less than the other's. If they
meet in 4 hours, what is the rate of the slower car?
Do not do any rounding.
Answers
The rate of the slower car is 77km/hr
What is velocity?Velocity is the rate of change of displacement with time. It is measured in meter per second and it is a vector quantity.
velocity = displacement/time
displacement = velocity × time
represent the faster car by v1 and the slower car by v2
v1 = v2+16
V2 = v1-16
Total displacement = 680km
680 =( v1+V2)t
680 = (v1+V2)4
v1+v2 = 680/4
v2+16+v2 = 170
2v2 = 170-16
2v2 = 154
v2 = 154/2
v2 = 77km/hr
therefore the rate of the slower car is 77km/hr
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Dee’s Catering Budget vs. Actual Comparison for December 2010
a. What is the variance (dollar and percent) in Dee’s total cost of sales for the month of December? Answer: $32,051 and 12.8%
b. To what do you attribute the variance in Dee’s total cost of sales for December?
c. What is the variance (dollar and percent) in Dee’s salaries and wages for the month of December? Answer: $6,100 and 15.7%
d. To what do you attribute the variance in Dee’s salaries and wages for December?
e. What is the variance (dollar and percent) in Dee’s marketing expenses for the month of December? Answer: $-1.050 and -87.5%
f. What advice would you give Dee regarding her marketing expense variance?
I need help with answering these questions. Letter B, D, and F.
Answers
Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
We have ,
Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.
The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.
Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.
Hence, Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
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complete question:
A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?
b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?
d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?
e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?
f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?
g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?
can someone please answer 2v+7=3 in TWO steps?
Answers
Answer:
v = -4
Step-by-step explanation:
2v + 7 = 3
Subtract 7 on both sides
2v = -4
Divided by 2 both sides
v = -4
Miguel plots points A, B, and C in the coordinate plane.
A. What is the distance between points A and B? Explain your reasoning.
B. Is (gif triangle) ABC an equilateral triangle? Explain your reasoning.
Answers
is △ABC equilateral? well, we dunno, however let's check for all sides' length.
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-2}) ~\hfill AB=\sqrt{(~~ -6- (-3)~~)^2 + (~~ -2- 2~~)^2} \\\\\\ ~\hfill AB=\sqrt{( -3)^2 + ( -4)^2} \implies AB=\sqrt{ 25 }\implies \boxed{AB=5}[/tex]
[tex]B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{0}~,~\stackrel{y_2}{-2}) ~\hfill BC=\sqrt{(~~ 0- (-6)~~)^2 + (~~ -2- (-2)~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 6)^2 + ( 0)^2} \implies BC=\sqrt{ 36 }\implies \boxed{BC=6} \\\\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2}) ~\hfill CA=\sqrt{(~~ -3- 0~~)^2 + (~~ 2- (-2)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -3)^2 + (4)^2} \implies CA=\sqrt{ 25 }\implies \boxed{CA=5}[/tex]
well, not quite.
adrián is walking 45 feet to school. He walks at a constant rate of 5 feet every 4 seconds. At that speed how many seconds does it take him to reach the school.
Answers
The number of second for Adrian to reach the school is A = 36 seconds
Given data ,
Let the speed of Adrian be 5 feet every 4 seconds
So , S = ( 5/4 ) feet/seconds
And , the distance to the school = 45 feer
So , the time taken by Adrian to reach the school is T
where T = distance / speed
T = 45 / ( 5/4 )
T = ( 45 / 5 ) x 4
T = 9 x 4 seconds
T = 36 seconds
Hence , the time is 36 seconds
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There is a square with line segments drawn inside it. The line segments are drawn
either from the vertices or the midpoints of other line segments. We colored 1/8 of the
large square. Which one is our coloring?
Answers
I need help with this question please using GeoGebra
Answers
The 90% confidence interval for the mean is given as follows:
[tex]5.8 < \mu < 7.8[/tex]
What is a t-distribution confidence interval?The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which the variables of the equation are presented as follows:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 41 - 1 = 40 df, is t = 1.6839.
The parameters are given as follows:
[tex]\overline{x} = 6.8, s = 3.7, n = 41[/tex]
The lower bound of the interval is given as follows:
6.8 - 1.6839 x 3.7/sqrt(41) = 5.8.
The upper bound of the interval is given as follows:
6.8 + 1.6839 x 3.7/sqrt(41) = 7.8.
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For the set C = {4, 6, 8, 10, 13), determine n(C).
n(C) =
Answers
For the set C = {4, 6, 8, 10, 13), the Cardinality or size of the set C is :n(C) =5.
How to find the Cardinality or size of the set C?The cardinality or size of a set C is denoted by the notation n(C). It shows the total number of elements in set C, where each element is distinct and does not occur more than once.
In set C = {4, 6, 8, 10, 13}, there are five distinct elements in which each of this element tend to occur once in the set.
Hence,
Cardinality or size of the set C = 5
OR
n(C) = 5
Therefore n(C) is 5.
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g(x) = f(x) h(x), f(2)= 6, h(2) = 2, h' (2) = 15, and f'(2) = 6. Find g' (2).
g(x)=f(x)=h(x)
Answers
g'(x) = f'(x)h(x) + f(x)h'(x)
We are given f(2) = 6, h(2) = 2, h'(2) = 15, and f'(2) = 6. To find g'(2), we plug in these values:
g'(2) = f'(2)h(2) + f(2)h'(2)
g'(2) = (6)(2) + (6)(15)
g'(2) = 12 + 90
g'(2) = 102
Therefore, g'(2) = 102.
Hope this helps
Which ones right ????
Answers
Which linear function represents a slope of ? A two column table with five rows. The first column, x, has the entries, 3, 6, 9, 12. The second column, y, has the entries, negative 11, 1, 13, 25. A coordinate plane with a straight line with a positive slope passing through (0, 3), (4, 4), and (8, 7). A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8. A coordinate plane with a straight line with a positive slope passing through (2, 0), (3, 4), and (4, 8)
Answers
The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.
Which answer choice has a slope of -2?It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.
Since slope is the rate of change in y with respect to x;
The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;
Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.
Remarks: The complete question is such that the required slope is -2.
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Answer: the second option
Step-by-step explanation:
i took the assignment
The half-life of an element in the periodic table measured over a period of time, , is modeled by the function . What is the initial amount of the element?
Answers
The initial amount of the element is 16
Since, The function is given as:
f(t) = 16(1/2)^t
Now, Set t = 0, to determine the initial amount.
f(0) = 16(1/2)⁰
This gives
f(0) = 16 x 1
Evaluate as
f(0) = 16
Hence, the initial amount of the element is 16
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Write the equation of the exponential function that has a y-intercept of 3 and a growth factor of 1.25.
Answers
The equation of the exponential function that has a y-intercept of 3 and a growth factor of 1.25 will be y = a(1.25)ˣ + 3.
Given that:
y-intercept, c = 3
Growth factor, r = 1.25
The exponent is given as,
y = a(b)ˣ + c ...1
Put b = 1.25 and c = 3 in equation (1), then
y = a(1.25)ˣ + 3
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What will be the result of substituting 2 for x in both expressions below?
1/2x+4
x+6-3x-2
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
Answers
The result when substituting 2 for x is: C. one expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.
How to Evaluate an Expression?In order to find out the value of the expressions, we have to substitute 2 for x in each of the given expressions, the evaluate it to determine if they are equivalent.
If two expressions have the same value when evaluated, then both are said to be equivalent.
1/2x + 4 = 1/2(2) + 4
= 1 + 4
= 5
x + 6 / 3x - 2
2 + 6 / 3(2) - 2
8 / 4
= 2
Therefore, we can conclude that: C. one expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.
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Jeff opens his desert shop and sold pies, cakes, and cookies in it. He sold pes Monday through Friday.
He sold cakes Monday through Saturday. He sold Cookies Monday through Sunday. He had the following number of sales for each day. Using an ANOVA analysis, state if any of the deserts is significantly more popular.
Pies Cakes Cookies
Monday 5 7 6
Tuesday 2 4 7
Wednesday 7 9 5
Thursday 4 5 7
Friday 3 2 9
Saturday 2 7
Sunday 3
3. Compute the appropriate statistic.
4. For the desert table above, what is the critical value at 95% and is the observed statistically significant?
Answers
The requreid we can reject the null hypothesis and conclude that at least one of the desserts is significantly more popular than the others.
To conduct an ANOVA analysis, we need to calculate the mean and variance for each group, as well as the overall mean and variance.
Pies: Mean = (5+2+7+4+3)/5 = 4.2
Variance =[tex]((5-4.2)^2 + (2-4.2)^2 + (7-4.2)^2 + (4-4.2)^2 + (3-4.2)^2)/4[/tex]
= 3.7
Similarly,
Cakes:
Mean = 5, Variance = 6.4
Cookies:
Mean = 6, Variance = 8.8
Overall mean = 5.1, Overall variance =5.1
To calculate the F-statistic, we need to use the formula,
F = (between-group variance)/(within-group variance).
Between-group variance [tex]= ((4.2-5.1)^2 + (5-5.1)^2 + (6-5.1)^2)*5 + ((5-5.1)^2 + (5-5.1)^2)*6 + ((6-5.1)^2)*7[/tex] =5.3
Within-group variance = (3.7+6.4+8.8)/14 = 0.8
F = 5.3/0.8 = 6.6
The appropriate statistic for an ANOVA analysis is the F-statistic. we can reject the null hypothesis and conclude that at least one of the desserts is significantly more popular than the others.
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You start at (-1, 2). You move down 6 units and right 5 units. Where do you end?
Answers
You would end at the point (4, -4).
We have,
Starting at (-1, 2), moving down 6 units would take you to the point (-1, 2-6) = (-1, -4).
From there,
Moving right 5 units would take you to the point (-1+5, -4) = (4, -4).
Therefore,
You would end at the point (4, -4).
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Divide the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of a. 3a2 + 2a - 7 into 27a4 + 18a2 - 2a + 42
Answers
The solution to the division is 9a² - 6a + 31 + [(-106a + 259)/(3a² + 2a - 7)].
We have to divide, 27 + 0a³ + 18a² - 2a + 42 by 3a² + 2a - 7.
So,
9a² - 6a + 31
3a² + 2a - 7 ║27 + 0a³ + 18a² - 2a + 42
-(27 + 18a³ - 63a²)
_________________
- 18a³ + 81a² - 2a
-(-18a³ - 12a² + 42a)
____________________
93a² - 44a + 42
-(93a² + 62a - 217)
-106a +259
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Write the vector v in terms of i and j whose magnitude and direction angle are given.
||v|| = 5/6, theta = 113 deg
Answers
v_x = ||v|| cos θ
v_y = ||v|| sin θ
Plugging in the values, we get:
v_x = (5/6) cos 113° ≈ -0.304
v_y = (5/6) sin 113° ≈ 0.708
Therefore, the vector v can be written in terms of i and j as:
v = v_x i + v_y j
v ≈ -0.304 i + 0.708 j
Will mark brainliest.
Answers
The value of z in the intersected secant and tangent is 57 degrees.
How to find angles between secant and tangent intersection?When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
A secant touches two point on a circle while a tangent touches one point on a circle.
Therefore,
z = 1 / 2 (156 - 42)
z = 1 / 2 (114)
z = 114 / 2
z = 57 degrees
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Find all the complex cube roots of w = 125(cos 210 deg + i * sin 210 deg) Write the roots in polar form with 0 in degrees.
Z1=
Z2=
Z3=
Answers
The three complex cube roots of w are:
Z1 = 5(cos(70°) + i * sin(70°))
Z2 = 5(cos(190°) + i * sin(190°))
Z3 = 5(cos(310°) + i * sin(310°))
Given that;
To find all the complex cube roots of ,
w = 125(cos 210 deg + i sin 210 deg)
Now, We know that;
x = r cos θ
y = r sin θ
let's find the modulus of w:
|w| = sqrt(125)
= 125
Now let's find the argument of w:
arg(w) = 210°
Next, let's find the principal cube root of w. We can do this by taking the cube root of the modulus and dividing the argument by 3:
w^(1/3) = 125^(1/3) (cos(210°)/3 + i sin(210°)/3)
Let's simplify this expression:
w^(1/3) = 5(cos(70°) + i * sin(70°))
Now let's find the other two cube roots. We can do this by adding multiples of 120° to the argument and dividing by 3:
w^(1/3) = 5(cos(70°) + i * sin(70°))
w^(1/3) = 5(cos(190°) + i * sin(190°))
w^(1/3) = 5(cos(310°) + i * sin(310°))
So the three complex cube roots of w are:
w^(1/3) = 5(cos(70°) + i * sin(70°))
w^(1/3) = 5(cos(190°) + i * sin(190°))
w^(1/3) = 5(cos(310°) + i * sin(310°))
Thus, The three complex cube roots of w are:
Z1 = 5(cos(70°) + i * sin(70°))
Z2 = 5(cos(190°) + i * sin(190°))
Z3 = 5(cos(310°) + i * sin(310°))
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In the figure below, Z is the center of the circle. Suppose that QR= 13, ST=3x+ 1, ZU=6, and ZV=6. Find the following.
Answers
The value of 'x' will be 4. Then the length of QU will be 6.5 units.
Given that:
Chords, QR = 13 and ST = 3x + 1
Perpendicular length, ZU = 6 and ZV = 6
It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The perpendicular length ZU and ZV are the same. Then the length of the chords will be the same. Then we have
QR = ST
13 = 3x + 1
3x = 13 - 1
3x = 12
x = 4
The value of QU is half of QR, then we have
QU = QR / 2
QU = 13 / 2
QU = 6.5
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The complete question is given below.
The management of lamda corporation has received the following forecast for the next year Sales revenue 600,000 Fixed cost 275,000 Variable cost 270,000 Total cost 545,000 Net income 55,000 Capacity is a sales volume of $800,000. (a) Compute (i) The contribution margin (ii) The contribution rate (b) Compute the break-even point (i) In dollars (ii) As a percent of capacity (c) Determine the break-even volume in dollars if fixed cost is increased by $40,000 while variable cost is held to 40% of sales
Answers
A. I) The contribution margin of Lamda Corporation, given the forecast for the next year, is $330,000.
A. II) Based on the forecast, the contribution rate is 55%.
B. I) The break-even point in dollars is $500,000.
B. II) The break-even point as a percent of capacity is 62.5%.
C) The break-even volume in dollars if fixed cost is increased by $40,000 while variable cost is held to 40% of sales is $525,000.
How the break-even points and contribution margins are computed:Sales revenue = $600,000
Fixed cost = $275,000
Variable cost = $270,000
Total cost = $545,000
Net income = $55,000
a) Contribution margin = $330,000 ($600,000 - $270,000)
Contribution rate = 55% ($330,000 ÷ $600,000)
b) Break-even point in dollars = Fixed Cost/Contribution rate
= $275,000 ÷ 0.55
= $500,000
Break-even point as a percent of capacity = 62.5% ($500,000/$800,000 x 100)
c) Break-even point in dollars when fixed cost is increased by $40,000 and variable cost held to 40% of sales
Fixed cost = $315,000 ($275,000 + $40,000)
Contribution margin rate = 60% (100 - 40%)
= $315,000÷60%
= $525,000
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Type the correct answer in the box. Spell all words correctly.
Linda is discussing her interior design ideas for a children’s playroom with her client. What type of drawing will be useful to express her ideas to her client?
Linda can represent the different kinds of spaces she has planned for the playroom through a ________ diagram.
Answers
Linda can represent the different kinds of spaces she has planned for the playroom through a floor plan diagram.
What is a floor plan ?The purpose and function of a floor plan, which is an illustration of a room or building's layout viewed from above, and includes walls, windows, doors, furniture, and other objects in the space.
When designing a children's playroom, a floor plan can be useful to indicate various designated areas such as storage, seating, and play spaces, along with the arrangement of fixtures like tables, shelves, and chairs relative to those zones. By utilizing visual references for planning purposes, creating a functional and visually-pleasing play area that caters to the needs of its young inhabitants becomes much more achievable.
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find the variance with the mean score of 161.2 n=5
Answers
The variance with a mean score of 161.2 and n=5, assuming scores of 160, 162, 165, 159, and 163, is 4.12.
To work out the difference with a mean score of 161.2 and an example size of 5, we really want to involve the equation for fluctuation:
Difference =[tex](Σ (X - μ)^2)/n[/tex]
Where [tex]Σ (X - μ)^2[/tex] is the amount of squared deviations of each score from the mean, and n is the example size. How about we accept that the scores are as per the following: 160, 162, 165, 159, and 163. In the first place, we work out the deviation of each score from the mean:
160-161.2=-1.2
162-161.2=0.8
165-161.2=3.8
159-161.2=-2.2
163-161.2=1.8
Then, we square every deviation:
[tex](-1.2)^2[/tex] = 1.44
[tex](0.8)^2[/tex] = 0.64
[tex](3.8)^2[/tex] = 14.44
[tex](-2.2)^2[/tex] = 4.84
[tex](1.8)^2[/tex] = 3.24
Then, we total the squared deviations:
1.44 + 0.64 + 14.44 + 4.84 + 3.24 = 24.6
At last, we partition the amount of squared deviations by the example size to acquire the difference:
Change = 24.6/5 = 4.92
In this way, the fluctuation with a mean score of 161.2 and an example size of 5, expecting the scores are 160, 162, 165, 159, and 163, is 4.92.
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The complete question is:
Calculate the mean, variance and standard deviation of final exam scores of 6 students in MAT150.5 course. There are total 25 students. 90 85 74 91 89 (?) (?) = Last two digits of your CUNYFirst ID Number. (05 = 5,00 = 0) X-X (x-x)2.
18
Select the correct answer.
Consider this quadratic equation.
x²+1=2x-3
Which expression correctly sets up the quadratic formula?
O A. -(-2) ± √(-2)² - 4(1)(4)
2(1)
B. -(-2) + √(-2)²-(1)(4)
2(2)
-2 ± √(-2)²-4(1)(4)
2(1)
O C.
O D.
-2 ± √√(2)² - 4(1)(-2)
2(1)
Answers
An expression that correctly sets up the quadratic formula include the following: C. [tex]x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2 - 4(1)(4)}}{2(1)}[/tex]
What is a quadratic equation?In Mathematics and Geometry, a quadratic equation can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Mathematically, the quadratic formula is represented by this mathematical equation:
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
For the given quadratic equation x² + 1 =2x-3, we have:
x² - 2x + 1 + 3 =0
x² - 2x + 4 =0
[tex]x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2 - 4(1)(4)}}{2(1)}[/tex]
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I don’t understand help!
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To measure the bearing from A to B you can use the compass with the ruler.
To measure the bearing from B to A, place the thread from B to A, then place the compass and take you reading
What is the bearing?To degree the bearing from A to B, take after these steps:
Draw a straight line between focuses A and B.Place yourself so lightly that you are facing point B from point A.Then make use of a compass to decide the point between true north and the line between point A and B.Lastly the bearing from A to B is the point measured clockwise from genuine north to the line between focuses A and B, communicated in degrees. Do the same for bearing from B to A
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How many monthly payments will it take to pay off the loan?
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It will take the college student 14 months to retire the loan. It will take 293 monthly payments to pay off the home loan.
1) It will take him 14 months to retire the loan.
2) It will take 293 monthly payments to pay off the home loan.
The information given in first scenario is
P = $250
A = $3000
r = 2%
Using the formula,
n = - log( 1 - Ar/12P) / log(1+ r/12)
Substituting the values,
n = - log( 1 - (0.02/12)*3000/250) / log(1+ 0.02/12)
n = 13.96
Rounding to the nearest month,
It will take him 14 months to retire the loan.
The information given in second scenario is,
P = $585.80
A = $133000
r = 5%
Using the formula,
n = - log( 1 - Ar/12P) / log(1+ r/12)
Substituting the values,
n = - log( 1 - (0.05/12)*133000/585.80) / log(1+ 0.05/12)
n = 292.43
Rounding to the nearest month,
It will take 293 monthly payments to pay off the home loan.
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Which expression is equivalent to 10 + 22? A. 2(5 + 22) B. 2(5 + 11) C. 5(2 + 22) D. 5(2 + 4)
Answers
11.44 as a fraction = 286â„25 or 11 11â„25
Answer: B
Step-by-step explanation:
10 + 22 can be simplified by adding 10 and 22 to get:
10 + 22 = 32
Now, let's check each expression to see which one is equivalent to 10 + 22 = 32:
A. 2(5 + 22) = 2(27) = 54
B. 2(5 + 11) = 2(16) = 32 (This expression is equivalent to 10 + 12)
C. 5(2 + 22) = 5(24) = 120
D. 5(2 + 4) = 5(6) = 30
So, the expression that is equivalent to 10 + 22 is B. 2(5 + 11) = 32.
What will a down payment on a loan accomplish?
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A down payment on a loan is a payment made upfront by the borrower to reduce the amount of the loan.
The purpose of a down payment is to lower the overall cost of the loan and to reduce the lender's risk.
When you make a down payment on a loan, the amount you owe on the loan is reduced by that amount.
A down payment also reduces the lender's risk.
When you make a down payment, you are showing the lender that you are committed to repaying the loan.
If you default on the loan, the lender will be able to recoup some of their losses by selling the collateral (the car, in this example) that was used to secure the loan.
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