Need answer asap. Thank you for helping me.
The estimate of the cost for a 20-ft cord is given as follows:
$74.66.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.
The points in the context of the problem are given as follows:
(3, 12.75), (5, 16), (6, 25.99), (50, 185).
Inserting these points into a calculator, the regression equation is given as follows:
y = 3.6794x + 1.06462.
Hence the estimate of the cost for a 20-ft cord is obtained when x = 20 as follows:
y = 3.6794(20) + 1.06462
y = $74.66.
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Carmen invested $2,000 in a mutual fund that is front-loaded, with a loading rate of 4.75 %. What was the
loading charge of this fund? (3 points)
Answer:
$95
Step-by-step explanation:
Carmen invested $2,000 in a mutual fund with a loading rate of 4.75%. To calculate the loading charge, we can multiply the amount invested by the loading rate: $2,000 * 4.75% = $95. So, the loading charge for this mutual fund was $95.
The graph shows the total weight of a fish tank, y, as a function of the amount of water in the tank, x
What is the weight of an empty tank?
The weight of the empty tank is given as follows:
4 pounds.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation shown as follows:
y = mx + b
The coefficients m and b have the meaning presented as follows:
m is the slope of the function, representing the increase/decrease in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, it is the value of y when the graph of the function crosses or touches the y-axis.The weight of the empty tank is the intercept of the function, which is of b = 4, hence:
4 pounds.
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Mr.John borrowed $5,340.00 from the bank at 9.5% per annum simple interest for 5 years. Calculate The value of each montly installments
Answer:
5,340x.095=507.3
507.3÷5=101.46
101.46÷12=$8.45 interest
5,340÷5=1068
1068÷12= $89
89+8.45=$97.45
answer $97.45 a month
(PLEASE HELP! Im using a ton of points)
A new curved projection system for a small media room states the optimal viewing angle is
74° (m/ACB = 74°) when you sit 10 feet from the center of the TV (length of CD = 10 ft). The
depth of the curved screen is 2 feet (length of DE = 2 ft). Find the length of line segment AB, in feet, that corresponds to the width of the television. (Round your answer to the nearest foot)
(Thx for any help!)
The value of the length of line segment AB, in feet, that corresponds to the width of the television is,
⇒ 12 feet
We have to given that;
A new curved projection system for a small media room states the optimal viewing angle is 74° (m/ACB = 74°) when you sit 10 feet from the center of the TV (length of CD = 10 ft). The depth of the curved screen is 2 feet (length of DE = 2 ft).
Now, We can formulate;
CE = 10 - 2 = 8 feet
∠ACD = 74/2 = 37°
Hence, We can formulate;
tan 37° = AE / CE
0.75 = AE / 8
AE = 0.75 × 8
AE = 6
Hence, The value of the length of line segment AB, in feet, that corresponds to the width of the television is,
⇒ AB = 6 x 2
⇒ AB = 12 feet
Thus, The value of the length of line segment AB, in feet, that corresponds to the width of the television is,
⇒ 12 feet
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f(x)=2x³-5x²
g(x)=2x-1
Find (f- g)(x)
Answer:
2x³-5x² - 2x + 1
Step-by-step explanation:
We are given
f(x) = 2x³ - 5x²
g(x) = 2x - 1
and asked to find (f - g)(x)
(f - g)(x) is nothing but f(x) - g(x)
(f- g)(x) = f(x) - g(x) = 2x³-5x² - (2x - 1)
= 2x³-5x² - 2x + 1
Molly's scout troop sold 148 boxes of cookies last month and 165 boxes this month. Find the percent of increase, rounded to the nearest tenth of a percent.
The percent of the increase, rounded to the nearest tenth of a percent, concerning the sales of boxes of cookies that Molly sold last month and this month, is 11.5%.
How is the percentage increase determined?The percentage increase can be determined by finding the difference or the amount of increase in sales.
This difference is divided by the previous month's sales and multiplied by 100.
The total number of boxes of cookies Molly's Scout Troop sold last month = 148
The total number sold this month = 165
The increase = 17 (165 - 148)
Percentage increase = 11.5% (17 ÷ 148 x 100)
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Yellow light: When the light turns yellow, should you stop or go through it? A recent study of driver behavior defined the "indecision zone" as the period when
a vehicle is between 2.5 and 5.5 seconds away from an intersection. At the first intersection studied, 127 vehicles were observed to encounter a yellow light in
the indecision zone, and 24 of them ran the red light. At the second intersection, 164 vehicles entered the intersection in the indecision zone, and 29 ran the red
light. Let p denote the proportion of red light runners at the first intersection. Can you conclude that the proportion of red light runners differs between the two
intersections? Use the a=0.01 level of significance.
Answer:
Step-by-step explanation:
To test the null hypothesis that the proportion of red light runners is the same at both intersections, we can use a two-sample z-test for proportions.
Let p1 be the proportion of red light runners at the first intersection, and p2 be the proportion of red light runners at the second intersection. We want to test the null hypothesis:
H0: p1 = p2
against the alternative hypothesis:
Ha: p1 ≠ p2
We can use the following formula to calculate the test statistic:
z = (p1 - p2) / sqrt(p_hat * (1 - p_hat) * (1/n1 + 1/n2))
where p_hat = (x1 + x2) / (n1 + n2) is the pooled sample proportion, and x1 and x2 are the number of red light runners at the two intersections, and n1 and n2 are the sample sizes.
For the first intersection, we have x1 = 24 and n1 = 127. For the second intersection, we have x2 = 29 and n2 = 164.
The pooled sample proportion is:
p_hat = (x1 + x2) / (n1 + n2) = (24 + 29) / (127 + 164) = 0.167
The test statistic is:
z = (p1 - p2) / sqrt(p_hat * (1 - p_hat) * (1/n1 + 1/n2)) = (0.189 - 0.177) / sqrt(0.167 * (1 - 0.167) * (1/127 + 1/164)) = 0.99
Using a standard normal distribution table, we can find that the probability of getting a z-value of 0.99 or greater is 0.160. Since this is greater than the significance level of 0.01, we fail to reject the null hypothesis.
Therefore, we cannot conclude that the proportion of red light runners differs between the two intersections.
Identify the converse of the statement "A → B: If x = 3, then x + 8 = 11."
A) ∼A → ∼B: If x ≠ 3, then x + 8 ≠ 11.
B) ∼A → B: If x ≠ 3, then x + 8 = 11.
C) B → A: If x + 8 = 11, then x = 3.
The converse of the statement "A → B: If x = 3, then x + 8 = 11" is Option(c) which is "B → A: If x + 8 = 11, then x = 3."
The "Converse" of a "conditional-statement" can be expressed by interchanging the hypothesis and the conclusion of "original-statement".
In this case, The "conditional-statement" is given to be "A → B: If x = 3, then x+8=11", which is read-as that if "x" is equal to 3, then expression "x + 8" is equal to 11.
So, The converse statement would say that if "x + 8" is equal to 11, then x must be equal to 3.
Therefore, the correct option is (c).
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I need help pleaseee
The matrix formed by performing the row operation 4R₂ + R₃ — R₃ will result to R₁ = [-4 0 1 5], R₂ = [-6 5 -1 8], and R₃= [-33 24 -9 32]
What is a matrix row operationRow operations are a set of operations that can be performed on the rows of a matrix in order to transform it into a row equivalent matrix, which has the same solution set as the original matrix.
performing the row operation 4R₂ + R₃ — R₃, we have;
4(-6) + (-9) = -33 {row 3 column 1}
4(5) + 4 = 24 {row 3 column 2}
4(-1) + (-5) = -9 {row 3 column 3}
4(8) + 0 = 32 {row 3 column 4}
Therefore, the matrix formed by performing the row operation 4R₂ + R₃ — R₃ will give a new one with R₁ = [-4 0 1 5], R₂ = [-6 5 -1 8], and R₃= [-33 24 -9 32]
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simplify the following:
Answer:
[tex]\dfrac{\left(12x-56\right)x}{\left(x-4\right)\left(-x^2+20x-32\right)}[/tex]
Step-by-step explanation:
Simplify
[tex]\dfrac{\dfrac{16}{x-2}-\dfrac{4}{x-4}}{\dfrac{16}{x}-\dfrac{x-4}{x-2}}[/tex]
The first-level numerator is
[tex]\dfrac{16}{x-4}-\dfrac{4}{x-2}\\\\\\= \dfrac{16(x-4) - 4(x - 2)}{(x-2)(x-4)}\\\\\\= \dfrac{16x -64 - 4x + 8}{(x-2)(x-4)}\\\\\\= \dfrac{12x -56}{(x-2)(x-4)}[/tex]
The first-level denominator is
[tex]\dfrac{16}{x}-\dfrac{x-4}{x-2}\\\\\\= \dfrac{16(x-2) - x(x-4)}{x(x-2)}\\\\\\\\= \dfrac{16x - 32 -x^2 +4x}{x(x-2)}[/tex]
[tex]= \dfrac{-x^2+20x-32}{x\left(x-2\right)}[/tex]
Therefore
[tex]\dfrac{\dfrac{16}{x-2}-\dfrac{4}{x-4}}{\dfrac{16}{x}-\dfrac{x-4}{x-2}}\\\\\\= \dfrac{12x -56}{(x-2)(x-4)} \div\dfrac{-x^2+20x-32}{x\left(x-2\right)} \\\\\\[/tex]
Use the fraction rule: [tex]\dfrac{a}{b} \div \dfrac{d}{c} = \dfrac{a}{b} \cdot \dfrac{d}{c}[/tex]
[tex]= \dfrac{12x -56}{(x-2)(x-4)} \cdot \dfrac{x(x-2)}{-x^2 +20x -32}}[/tex]
The (x-2) term cancels out resulting in:
[tex]\dfrac{\left(12x-56\right)x}{\left(x-4\right)\left(-x^2+20x-32\right)}[/tex]
-2(-2/3) x 3/5
Write in simplest form .
Answer:
4/5
Step-by-step explanation:
Can someone help me with my accounting assignment please?
The State Cash Flow Statement using the direct method.
OP INV FIN
Personnel emolument 2,000,000
CRF charges 1,000,000
Statutory revenue allocation 20,000,000
Proceeds from sale of fixed assets 100,000
Purchase of marketable securities 50,000
Purchase & construction of fixed assets 500,000
Share of VAT 200,000
Share of excess crude oil 100,000
Internally generated revenue 10,000,000
Gratuities and pension 15,000,000
Miscellaneous income 50,000
Overhead expenses 36,000
Recurrent grant made 20,000
Miscellaneous expenses 10,000
Servicing & repayment of public debts 100,000
Grants & subventions from NGO 200,000
Proceeds from loan & other borrowings 300,000
Dividends received 100,000
12,234,000 -450,000 500,000
Net Cash Flow for the year ended 31 December 2006: 12,284,000
How was the cash Flow Statement using the direct method solved?To prepare the State Cash Flow Statement using the direct method, we'll classify cash flows into three categories: Operating Activities (OP), Investing Activities (INV), and Financing Activities (FIN). Then, we'll calculate the net cash flow for each category and add them together to find the net cash flow for the year.
Operating Activities:
(-2,000,000 - 1,000,000 + 20,000,000 + 200,000 + 100,000 + 10,000,000 - 15,000,000 + 50,000 - 36,000 - 20,000 - 10,000) = 12,234,000
Investing Activities:
(100,000 - 50,000 - 500,000) = -450,000
Financing Activities:
(-100,000 + 200,000 + 300,000 + 100,000) = 500,000
Net Cash Flow for the year ended 31 December 2006:
12,234,000 (Operating Activities) - 450,000 (Investing Activities) + 500,000 (Financing Activities) = 12,284,000
The above answer is in response to the question below;
The following information has been extracted from the records of WELFARE STATE of Nigeria for the year ended 31 December 2006:
Personnel emolument 2,000,000
CRF charges 1,000,000
Statutory revenue allocation 20,000,000
Proceeds from sale of fixed assets 100,000
Purchase of marketable securities 50,000
Purchase & construction of fixed assets 500,000
Share of VAT 200,000
Share of excess crude oil 100,000
Internally generated revenue 10,000,000
Gratuities and pension 15,000,000
Miscellaneous income 50,000
Overhead expenses 36,000
Recurrent grant made 20,000
Miscellaneous expenses 10,000
Servicing & repayment of public debts 100,000
Grants & subventions from NGO 200,000
Proceeds from loan & other borrowings 300,000
Dividends received 100,000
You are required to:
Prepare the State Cash Flow Statements for the year ended 31 December 2006 using the direct method approach (ICAN May 2008)
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A store manager kept track of the number of newspaper sold each week over a seven week period.the result were as fellows 71,81,202,113,269,248,242
The median number of newspapers sold is 202 newspaper. So, correct option is C.
To find the median, we need to arrange the given data in ascending or descending order.
The given data in ascending order: 71, 81, 113, 202, 242, 248, 269
Since there are 7 data points, the median will be the fourth value in the sorted list. Therefore, the median number of newspapers sold is 202.
Hence, the correct answer is option C, which states that the median number of newspapers sold is 202.
The median is the middle value of a dataset when arranged in order, and it's a measure of central tendency that is less affected by outliers than the mean. In this case, the median value represents the value at which half the data points are below it and half are above it.
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Complete question is:
A store manager kept track of the number of newspaper sold each week over a seven week period. the result were as fellows 71,81,202,113,269,248,242
Find the median number of newspapers sold.
A. 175 newspapers
B. 113 newspapers
C. 202 newspapers
D. 242 newspapers
Match the following:
1. Counts as Demand
2. Does Not Count as Demand
3. Demand Increases
4. Demand Decreases
What happens to the demand for
goods and services if the population in
town decreases?
Sue buys a new computer.
Adam likes the new cell phone, but
cannot afford it.
What happens to the demand for
jeans if the price of a popular brand of
jeans decreases?
Very confusing help I’m not sure how break this down and what’s the step
Note that adding one pair does not make the table a function. This is why it is trickly. For the table to be a function, each value of x must be related to only one unique value of y and vice versa.
How can the table become a function?For the table to become a function, we must eliminate any repeated ordered pairs such as (3, 8) and (7, 8)
For example, we can say (3, 6) and (7, 8) then pick the last to be (5, 10)
So the table becomes a function when you have:
X Y
6 0
3 6
9 12
7 8
5 10
The word linear function in mathematics refers to two separate but related concepts: A linear function in calculus and related fields is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
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Madam Antiowwah at oseikakookrom charged her phone to full (100%). She browse two hours. The battery life fell to 60% How many hours later would the phone or She continues to browse?
Answer:
Phone dies in 6 hours
Step-by-step explanation:
100 POINTS
Question:
Answer:
It is a graphical representation that discusses the relationship between two or more quantities or things
Step-by-step explanation:
The graphical method is used to optimize the two-variable linear programming. If the problem has two decision variables, a graphical method is the best method to find the optimal solution. In this method, the set of inequalities are subjected to constraints. Then the inequalities are plotted in the XY plane.
Graphical methods are commonly used for determining whether the data support an interpretation of mixing of two potential sources or fractionation of a single source.A graphic solution can be done by hand (on graph paper), or with the use of a graphing calculator. Graphing a system of linear equations is as simple as graphing two straight lines. When the lines are graphed, the solution will be the (x,y) ordered pair where the two lines intersect (cross).BRAINLINEST PLEASEAnswer:
It is a graphical representation that discusses the relationship between two or more quantities or things
Step-by-step explanation:
The graphical method is used to optimize the two-variable linear programming. If the problem has two decision variables, a graphical method is the best method to find the optimal solution. In this method, the set of inequalities are subjected to constraints. Then the inequalities are plotted in the XY plane.
Graphical methods are commonly used for determining whether the data support an interpretation of mixing of two potential sources or fractionation of a single source.
A graphic solution can be done by hand (on graph paper), or with the use of a graphing calculator. Graphing a system of linear equations is as simple as graphing two straight lines. When the lines are graphed, the solution will be the (x,y) ordered pair where the two lines intersect (cross).
GIVE NICE GUY BRAINLINEST PLEASE
what does new thousand mean?
We see here that new thousand is actually liken to be the result in thousand that is gotten after carrying out an operation.
What is a thousand?A thousand is a number that denotes the sum of 1,000 units or ten hundreds.
The word "thousand" is frequently used in daily speech to denote a significant but limited amount, such as a thousand money, a thousand individuals, or a thousand pages. Alternatively, it can be used as a round number to denote an approximation, as in "a thousand times" or "a thousand and one nights."
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Please Help Quick ASAP Hurry
Two similar solids have a scale factor of 2 : 5
What is the ratio of their volumes expressed in lowest terms?
A cone with volume 2625 m³ is dilated by a scale factor of 15.
What is the volume of the resulting cone?
a) If two similar solids have a scale factor of 2 : 5, the ratio of their volumes is 8:125, expressed in the lowest terms.
b) If cone with volume 2625 m³ is dilated by a scale factor of 15, the volume of the resulting cone is 10,640,625 m³.
(a) When two solids are similar, their corresponding linear dimensions are in the same ratio, which is known as the scale factor. For example, if two similar solids have a scale factor of 2:5, it means that the corresponding sides of the two solids are in the ratio 2:5.
The volume of a solid is proportional to the cube of its linear dimensions. Therefore, if the linear dimensions of two similar solids are in the ratio 2:5, the ratio of their volumes would be:
(2/5)³ = 8/125
(b) The volume of a cone is given by the formula:
V = (1/3)πr²h
where V is the volume, r is the radius, and h is the height of the cone.
When a cone is dilated by a scale factor of k, its linear dimensions increase by a factor of k, and its volume increases by a factor of k³. Therefore, if the volume of a cone is V and it is dilated by a scale factor of k, the volume of the resulting cone would be:
V' = k³V
In this case, the volume of the original cone is given as 2625 m³, and it is dilated by a scale factor of 15. Substituting these values in the formula, we get:
V' = 15³(2625)
V' = 15³(2625/1)
V' = 10640625
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What is equivalent to x^2-5x+6
Answer:
[tex]=\left(x-2\right)\left(x-3\right)\\[/tex]
Step-by-step explanation:
Given:
[tex]x^2-5x\:+6[/tex]
To find:
Equivalent to x^2-5x+6
Explanation:
[tex]x^2-5x+6\\=\left(x^2-2x\right)+\left(-3x+6\right)\\=x\left(x-2\right)-3\left(x-2\right)\\\mathrm{Factor\:out\:common\:term\:}x-2\\=\left(x-2\right)\left(x-3\right)[/tex]
Final Answer:
(x-2)(x-3)
2. Triangle ABC with A(2, 3), B(7, -1), and C(-4, 2) is reflected across the line x = -2. Find the
coordinates of B'
Answer:
B’ = (-11, 1)
Step-by-step explanation:
Because the triangle is reflected across the line x = -2, it is being reflected across a vertical line.
Therefore only the x-coordinate will change.
As B is 9 units right of the line x = 2, the coordinates of B’ will be (-2 - 9, 1)
Which will be (-11, 1)
A vending machine is designed to dispense a mean of 7.6 oz of coffee into an 8 oz cup. If the standard deviation of the amount of coffee dispensed is 0.2 oz, and the amount is normally distributed, find the percent of times the machine will dispense from 7.5 oz to 7.9 oz.
The percentage of time that the machine will dispense from 7. 5 oz to 7. 9 oz is 62.47% of the time.
How to find the percentage ?Find the Z-scores for both 7. 5 oz and 7. 9 oz :
Z = ( X - μ ) / σ
For 7. 5 oz :
Z = ( 7.5 - 7.6 ) / 0.2
Z = -0. 1 / 0. 2
Z = -0. 5
For 7.9 oz:
Z = (7. 9 - 7.6 ) / 0.2
Z = 0. 3 / 0. 2
Z = 1. 5
Using the z - values from the table, the percentage of time is:
0.9332 - 0.3085 = 0.6247
= 62. 47 %
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What is the circumference of the circle in terms of pi? (C = td) О Тл О 147 О 21л * 28 л
The circumference of the circle with a radius of 10 cm is 20π cm, option (C) is correct.
A circle's perimeter, or the distance encircling it, is known as its circumference. It is determined by multiplying the circle's diameter by pi. But in this case, we are given the radius of the circle, which is half of the diameter.
To get a circle's circumference, use the following formula:
C = 2πr
where;
r = radius of the circle
π = mathematical constant pi (approximately equal to 3.14).
Given the radius of the circle as 10 cm, we can use the formula to find its circumference:
C = 2πr
C = 2π(10 cm)
C = 20π cm
Hence, option C is correct.
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The correct question is:
What is the circumference of the circle with radius = 10 cm (leave your answer of π).
A) 10π cm
B) 5π cm
C) 20π cm
D) 10π cm
One number is 6 3/4 while another number is 2 1/6 smaller. Find the sum of these numbers.
The sum of both numbers is 107/12
How to calculate the sum of both numbers ?One number is 6 3/4
The other smaller number is 2 1/6
The sum of both numbers can be calculated as follows
= 6 3/4 + 2 1/6
= 27/4 + 13/6
= 162 + 52/24
= 214/24
= 107/12
Hence the sum of both numbers is 107/12
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Please help me i really dont get this. ill give 20 points please help me. ILL GIVE BRAINLIEST
Answer: A and yes
Step-by-step explanation:
1. A is the answer. You must balance an equation. Whatever you do to one side you have to do to the other side. There are no like terms to combine on one side so C, D are out.
2. Yes, because the equations are balance and will get same answers
PLEASE HELP I NEED TO PASS THIS Using the probability distribution represented by the graph
below, find the probability that the random variable, X, falls
in the shaded region.
Answer: C: 5/8
Step-by-step explanation:
Simply 5/8 of the bar is filled in
Using probability, we can find probability of the random variable, x falling in the shaded region as to be 5/8.
Here, we have,
Probability is the ratio of favorable outcomes to all other potential outcomes of an event. The symbol x can be used to express the quantity of successful outcomes for an experiment with 'n' outcomes. The following formula can be used to determine an event's probability.
Positive Outcomes/Total Results = x/n = Probability(Event)
Let's look at a simple example to better understand probability. Imagine that we need to predict whether it will rain or not. The right response to this question is "Yes" or "No." Whether it rains or not is uncertain. Probability is used to predict the outcomes when tossing coins, rolling dice, or drawing cards from a deck of cards.
Here in the question,
Total region = 8.
Shaded region = 5
So, probability of falling in the shaded region = 5/8
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The Frequency table shows The time it look students in PE class to run in 1 mile
3.) The quantity of students that are in the P.E class would be = 31 students.
4.) The number of students that ran 1 mile in under 9 minutes would be = 6 students.
How to determine the quantity of students from the frequency table?For question 3.)
To calculate the quantity of students, all the values in the frequency column is added together. That is;
Total number of students= 6+2+8+6+9 = 31 students.
For question 4.)
To calculate the number of students that ran 1 mile in less than 9 minutes would be the time range of 8.00-8.59 minutes = 6 students.
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Your parents are purchasing a mobile home for $89,000. The sales tax is 4.2%, they make a $3,000 down payment, and they have an average credit score. How much is the PRINCIPAL BALANCE after applying their first month’s payment of $925.67?
Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40
A. $89,249.80
B. $88,245.05
C. $88,912.03
D. $89,021.98
50 Points! Multiple choice algebra question. Photo attached. Thank you!
The solution of the inequality, log₂ 2m > log₂ (m + 5) is {m | m > 5 / 2}.
How to solve logarithm inequality?An inequality is an expression that have <, >, ≤ and ≥ . Therefore, let's solve the logarithmic inequality for the variable m.
Hence,
log₂ 2m > log₂ (m + 5)
Therefore, let's divide both sides by log₂.
Hence,
2m > m + 5
subtract m from both sides of the inequality
2m > m + 5
2m - m > m - m + 5
2m > 5
divide both sides by 2
2m / 2 > 5 / 2
Therefore,
m > 5 / 2
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