Step-by-step explanation:
it can not be determined
Interest earned in the first year was $35, f the total interest for the next 10 years is $350 then the investment must be receiving simple interest
The investment amount that is receiving simple interest is $35 divided by the interest rate.
To find the investment amount that is receiving simple interest, we can use the formula:
Total Interest = Principal * Interest Rate * Time
Given that the interest earned in the first year is $35, and the total interest for the next 10 years is $350, we can set up two equations:
35 = Principal * Interest Rate * 1
350 = Principal * Interest Rate * 10
Since the interest rate remains the same, we can divide the second equation by 10 to get:
35 = Principal * Interest Rate * 1
35 = Principal * Interest Rate
Now, we can divide both sides of the equation by the interest rate to isolate the principal:
35 / Interest Rate = Principal
Therefore, the investment amount that is receiving simple interest is $35 divided by the interest rate.
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Revenue When a wholesaler sold a product at $40 per unit, sales were 300 units per week. After a price increase of $5, however, the average number of units sold dropped to 275 per week. Assuming that the demand function is linear, what price per unit will yield a maximum total revenue?
The price per unit that yields maximum revenue is $400.
We can start by finding the demand function for the product. Since the demand is assumed to be linear, we can use two data points to find the equation of the line:
(40, 300) and (45, 275)
Using the point-slope form of a line, we get:
(275 - 300) / (45 - 40) = -5/25 = -1/5
y - 300 = (-1/5)(x - 40)
y = (-1/5)x + 320
where y is the number of units sold per week and x is the price per unit.
The revenue function is simply the product of the price and the number of units sold:
R = xy
Substituting the demand function, we get:
R = x(-1/5)x + 320x
Simplifying, we get:
R = -1/5x^2 + 320x
To find the price per unit that yields maximum revenue, we need to take the derivative of the revenue function with respect to x and set it equal to zero:
dR/dx = -2/5x + 320 = 0
Solving for x, we get:
x = 800/2 = $400
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please help!!!!!!!!!!!!!!!!!!
Answer:
E
Step-by-step explanation:
Which of the values is the best estimate of the correlation coefficient for the line of best fit shown in the scatter plot?
0.9
0.4
-0.4
0.9
The correlation coefficient that would best describe the line of best fit shown in the scatter plot is 0.9 which is a weak positive correlation.
What is correlation?The statistical concept of correlation describes how closely two variables move in tandem with one another.
We can see that Slope is not near to horizontal, thus Correlation Coefficient will be greater than 0.5
Since the value of X axis is get increased, then the value of Y axis is also increasing.
According to the graph is scattered in such a way that, if we draw a line from the centre, we can observe that as 'x' increases 'y' also increases, then the relation is positive correlation.
Therefore, the given scatter plot shows positive weak correlation with value 0.9 .
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Salon he runs 1/5 of a mile in 1/20 of an hour he swims 2/3 of a mile and 1/9 of an hour he bikes for miles in a quarter of an hour at these rights how many minutes does it take being to run 2 miles swim 2 miles in bike eight
Answer: 30 mins + 30 mins + 20 Mins
= 80 Minutes
Are my answers correct? Will give points if not correct can you solve please
The area of the smaller sector or minor sector is 125.66 yd².
The area of the larger sector or major sector is 326.73 yd².
What are the areas of the sector?The areas of the minor and major sectors is calculated by applying the following formulas follow;
Area of sector is given as;
A = (θ/360) x πr²
where;
r is the radius of the sectorθ is the angle of the sectorThe area of the smaller sector or minor sector is calculated as follows;
A = ( 100 / 360 ) x π ( 12 yd)²
A = 125.66 yd²
The area of the larger sector or major sector is calculated as follows;
θ = 360 - 100
θ = 260⁰
A = ( 260 / 360 ) x π ( 12 yd)²
A = 326.73 yd²
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What is half of a 3/4 cup?
Answer:0.375
Step-by-step explanation:
3/4=0.75
0.75/2=0.375
(3/4)/2=0.375
The answer
I don’t know how to do it
The values of a, b, c, and d, based on the given equation are:
\(a = 10\\b = 3\\c = -6\\d = -5\)
Let's calculate the values of a, b, c, and d based on the given table:
Using the equation \(y = x^2 - 4x - 2\), we can substitute the values of x and find the corresponding values of y:
For x = -3:
\(y = (-3)^2 - 4(-3) - 2 = 9 + 12 - 2 = 19\)
For x = -2:
\(y = (-2)^2 - 4(-2) - 2 = 4 + 8 - 2 = 10\)
For x = -1:
\(y = (-1)^2 - 4(-1) - 2 = 1 + 4 - 2 = 3\)
For x = 0:
\(y = (0)^2 - 4(0) - 2 = 0 - 0 - 2 = -2\)
For x = 1:
\(y = (1)^2 - 4(1) - 2 = 1 - 4 - 2 = -5\)
For x = 2:
\(y = (2)^2 - 4(2) - 2 = 4 - 8 - 2 = -6\)
For x = 3:
\(y = (3)^2 - 4(3) - 2 = 9 - 12 - 2 = -5\)
Now let's match these values with the table:
\(x , y = x^2 - 4x - 2\)
\(\[\begin{align*}(-3, 19) \\(-2, a) \\(-1, b) \\(0, -2) \\(1, -5) \\(2, c) \\(3, d) \\\end{align*}\]\)
From the given table, we have:
\(a = 10\\b = 3\\c = -6\\d = -5\)
Certainly! Here's a 100-word explanation of the given data:
The data provided consists of pairs of values, where the first column represents the x-values and the second column represents the y-values. Each row in the table corresponds to a data point. For instance, when x is \(-3\), the corresponding y-value is \(19\). Similarly, when x is \(-2\), the y-value is denoted as '\(a\)', and when \(x\) is -\(1\), the \(y\)-value is denoted as 'b'.
The pattern continues for the remaining data points, with specific values assigned to \(x \ and \ y\). This data set allows for the representation and analysis of relationships between the variables \(x \ and \ y\).
Therefore, the values of a, b, c, and d are:
\(a = 10\\b = 3\\c = -6\\d = -5\)
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please help xxxxxxxx
Answer:
X=2
Step-by-step explanation:
that's the answerrrr for b)
Which is the graph of g(x) = 2x-1+3?
O
-12
-8
-4
8-
4
-8
-12+
8
X
Answer:
See below
Step-by-step explanation:
The question is garbled. I don't see a graph nor can I interpret the list of numbers.
g(x) = 2x-1+3 can be simplified to:
g(x) = 2x+2
This line is shown in the attached graph. It has a slope of 2 and a y-intercept of 2.
please help me !!!! i dont understand it at all and we are not having class for week.
Answer:
domain of the graph is 1
hope it helps you
What’s the ratio of the volume?
20:4
4:1
16:1
64:1
Answer:
4:1
I hope this helps a little bit.
Paul wants to play quarterback, but that decision depends on who coaches for a given game. Coach Smith is coach 60 percent of the time, and Coach Brown is coach the other 40 percent. Coach Brown has faith in Paul, so he starts him at quarterback in 80 percent of the games he coaches. Coach Smith, though, isn't so sure, so he starts Paul at quarterback 40 percent of the time. What's the probability of Paul starting as quarterback for the next game?
Answer:
56/100
Sorry, I looked this up so someone else might need to show you the work.
But I got the answer
A school district wants to identify factors that may be affecting how well the students are doing based on their grade point averages. Which statistical method would be best to use in this situation
Multiple regression analysis assumes certain underlying statistical assumptions are met, such as linearity, independence of errors, homoscedasticity, and normally distributed errors.
A statistical method that would be best to use in this situation is Multiple Regression Analysis.
Multiple Regression Analysis is a statistical method used to identify the relationships between a dependent variable and multiple independent variables.
The dependent variable is the grade point average (GPA) of students, and the independent variables are the factors that may be affecting how well the students are doing.
Multiple regression can be used to model the relationships between these variables and to identify which factors are most strongly associated with differences in GPA.
Multiple regression analysis is a useful tool for exploring the complex relationships between multiple variables and can help identify which factors are most important in predicting GPA.
By analyzing the relationships between the various independent variables and GPA, school districts can identify areas where they may need to focus their efforts to improve academic performance.
It's also important to use caution when interpreting the results of regression analysis, as correlation does not necessarily imply causation, and other factors not included in the model may also be influencing GPA.
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What does it mean that there is an equal theoretical probability on each out come?
explain
When we say that there is an equal theoretical probability of each outcome, it means that all possible outcomes have an equal chance of occurring.
Probability is an important concept in mathematics that deals with the likelihood or chance of an event occurring.
In other words, if we have n possible outcomes, each outcome has a probability of 1/n of occurring. This assumes that all outcomes are equally likely and there are no external factors that influence the outcome.
For example, let's consider flipping a fair coin. The coin has two possible outcomes: heads or tails. Since both outcomes are equally likely, the theoretical probability of each outcome is 1/2 or 0.5. This means that if we flip the coin many times, we expect to get heads approximately half the time and tails the other half of the time.
Similarly, if we roll a fair six-sided die, each possible outcome (1, 2, 3, 4, 5, or 6) has a theoretical probability of 1/6. This means that if we roll the die many times, we expect to get each number approximately the same number of times.
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Answer: it means that each outcome of an experiment has an equal chance of occurrence then these outcomes are equally likely.
Can someone help me with this Question.
The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.
\(P=3W+D\)A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.
B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.
\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.
That leaves \(27-14=13\) matches. These represent the matches team lost.
Finally, the answers are below.
\(A)29\)
\(B)13\)
Answer:
a) 29 points
b) 13 losses
Step-by-step explanation:
You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.
A 8 wins, 5 drawsThe number of points the team has is ...
P = 3W +D
P = 3(8) +(5) = 29
The team has 29 points.
B 54 pointsYou want the number of losses the team has if it has 54 points and 12 draws after 39 games.
The number of wins is given by ...
P = 3W +D
54 = 3W +12
42 = 3W
14 = W
Then the number of losses is ...
W +D +L = 39
14 +12 +L = 39 . . . substitute the known values
L = 13 . . . . . . . . . . subtract 26 from both sides
The team lost 13 games.
__
Additional comment
In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)
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The denominator in the earnings per share formula is? a.preferred dividends. b.net income. c.number of preferred shared outstanding. d.number of common shares outstanding.
The denominator in the earnings per share formula is number of common shares outstanding.
What is the denominator used in the computation of earnings per share?
The weighted average of the outstanding shares of common stock serves as the numerator of the earnings per share. The "per share" part necessitates further computation when the number of common shares changes in the middle of the year. The weighting of the per share part depends on how long each share number has been in circulation.How are basic earnings per share determined?
Basic EPS is calculated by dividing net income by the weighted average of the common shares outstanding for the relevant period. Preferred dividends should be removed from the net income because they are not available to common stockholders. Net income can also be broken down into "continuing operations" P&L and "total P&L".Learn more about Basic EPS
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what is the square root of a perfect square always rational
Answer:
The square root of a perfect square will always be a whole positive or negative number
Step-by-step explanation:
A student used Desmos to graph the function y log (3). Then he used the software to reflect the graph across
the x-axis and shift it 4 units right. Write a function that matches the new graph.
(14)
zoom in
The function shown in the graph is a translation of the parent function y = log.(x). Determine the
transformation of the function below.
The function that matches the new graph after reflecting across the x-axis and shifting 4 units to the right is y = -log(x - 4).
We have,
The parent function is y = log(x).
To obtain the new graph, we need to reflect the parent function across the x-axis and shift it 4 units to the right.
The reflection across the x-axis can be achieved by multiplying the parent function by -1, which changes the sign of the y-values.
Therefore, the reflected function is y = -log(x).
Now,
Next, to shift the graph 4 units to the right, we replace x with (x - 4) in the function:
y = -log(x - 4).
So, the function that matches the new graph after reflecting across the x-axis and shifting 4 units to the right is y = -log(x - 4).
Thus,
The function that matches the new graph after reflecting across the x-axis and shifting 4 units to the right is y = -log(x - 4).
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Kai has 4 bags of marbles .there are 3 red,5 green,2 yellow,and 6 black marbles in each bag. How many marbles does kai have? Show how you found the answer
Answer:
The correct answer is 64 marbles.
Step-by-step explanation:
Let's analyze the information we have:
Jill has 4 bags of marbles.
In each bag she has 16 marbles (in each one she has 3red, 5green, 2 yellow, and 6black)
If each bag has 16 marbles, and she has 4 bags, then we must multiply the contents of each bag by 4.
And we do it as follows:
16 x 4 = 64
Therefore, we can say that Jill has 64 marbles.
Answer:
There is 16 in each bag so there is 64 marbles in total.
Step-by-step explanation:
3 + 2 = 5
5 + 5 = 10
10 + 6 = 16
16 x 4 (16 + 16+ 16+ 16) = 64
help i need so much help i have to pass this math iready thank you
Answer:
I think the answer is B
Step-by-step explanation:
She divided the numbers wrong
Several sources estimate that the average single family home in the United States uses about 420 pounds of copper within the plumbing, appliances, and building wires. In the 21st century, and average copper grade ore might be -0.6% copper. a) How many pounds of 0.6% grade copper ore needs to be mined in order to obtain 420 pounds of copper? Show your work. 2.52 pounds (420x0.6) = 252/100 = 2.52 pounds b) Tailings are the waste (ground rock and process effluent) left over from the mining process. The disposal of tailings is commonly identified as the single most important source of environmental impact from many mining operations. How much ground rock would be left to dispose of?
70,000 pounds of 0.6% grade copper ore needs to obtain 420 pounds of copper and 69,580 pounds of ground rock would be left after extracting 420 pounds of copper from the 0.6% grade copper ore.
How to find pounds of copper for different conditions?
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Someone help me pleaseeee
For the given right triangle, L = 66°, LK = 3.56, and the hypotenuse, LM = 8.75.
What is right triangle?A right triangle, right-angled triangle, or more formally an orthogonal triangle—previously known as a rectangled triangle—is a triangle with one angle that is a right angle (i.e., a 90-degree angle), meaning that two of its sides are perpendicular. The foundation of trigonometry is the relationship between the sides and other angles of a right triangle.
The hypotenuse is the side that faces the right angle (side c in the figure). Legs are the sides that are next to the right angle (or catheti, singular: cathetus). Side a can be thought of as the side that is adjacent to angle B and opposite to (or opposite) angle A, whereas side b is the side that is adjacent to angle A and opposite to angle B.
Given a right triangle with base = 8 and an angle = 24°
Using angle sum property of triangle
24 + 90 + angle L = 180
L = 66°
Using Sohcahtoa
Tangent: tan(θ) = Opposite / Adjacent
tan(24°) = LK/8
0.445 = LK/8
LH = 8 × 0.445
LK = 3.56
LM = \(\sqrt{MK^2 + LK^2}\)
LM = \(\sqrt{8^2 + 3.56^2}\)
LM = 8.75
Thus, For the given right triangle, L = 66°, LK = 3.56, and the hypotenuse, LM = 8.75.
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Using the exchange rate £1 = $1.31, calculate how many £ are in $12.15. Give your answer rounded to 2 dp
Answer:
10 euros
Step-by-step explanation:
1 euro=$1.31 so you take 1.31 and multiply by 9 to get 11.79 which is too low even after rounding, but if you multiply by 10 you will get 13.1, you will have too much even after rounding down but you would get change
which function has a range of {y|y ≤ 5}?
a. f(x) = (x – 4)2 5
b. f(x) = –(x – 4)2 5
c. f(x) = (x – 5)2 4
d. f(x) = –(x – 5)2 4
The correct option is \(\(b.\) \(f(x) = -\frac{{(x - 4)^2}}{5}\).\) The function that has a range of \(\(\{y | y \leq 5\}\)\) is option \(\(b.\) \(f(x) = -\frac{{(x - 4)^2}}{5}\).\)
To determine this, let's analyze the options:
\(\(a.\) \(f(x) = \frac{{(x - 4)^2}}{5}\)\): This function will have a range of \(\(y\)\)-values greater
than or equal to 0, so it does not have a range of \(\(\{y | y \leq 5\}\).\)
\(\(b.\) \(f(x) = -\frac{{(x - 4)^2}}{5}\)\) : This function is a downward-opening parabola, and when we substitute various values of \(\(x\)\) , we get \(\(y\)\)-values less than or equal to 5. Therefore, this function has a range of \(\(\{y | y \leq 5\}\).\)
\(\(c.\) \(f(x) = \frac{{(x - 5)^2}}{4}\)\): This function is an upward-opening parabola, and its
range will be \(\(y\)\)-values greater than or equal to 0, so it does not have a
range of \(\(\{y | y \leq 5\}\).\)
\(\(d.\) \(f(x) = -\frac{{(x - 5)^2}}{4}\)\): This function is a downward-opening parabola, and its range will be \(\(y\)\)-values less than or equal to 0, so it
does not have a range of \(\(\{y | y \leq 5\}\).\)
Therefore, the correct option is \(\(b. f(x) = -\frac{{(x - 4)^2}}{5}\).\)
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PLS ANSWER ASAP, NO LINKS OR I WILL REPORT U
Answer:
B.
Step-by-step explanation:
Please help!! i have a test tomorrow and i need help understanding this problem
\(a_n\) is the n-th term in some sequence following the given rule.
Then \(a_{27}\) is the 27th term in the sequence, and
\(a_{27} = -23 + 20\times27 = \boxed{517}\)
a philosophy professor assigns letter grades on a test according to the following scheme. a: top 13% of scores b: scores below the top 13% and above the bottom 62% c: scores below the top 38% and above the bottom 15% d: scores below the top 85% and above the bottom 8% f: bottom 8% of scores scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5 . find the minimum score required for an a grade. round your answer to the nearest whole number, if necessary.
To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.
Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:
x = μ + (z * σ)
where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:
x = 69.5 + (1.04 * 9.5) ≈ 79.58
Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.
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A pair of sneakers is on sale for 20% off. The original price is $100. What is the price of the sneakers with the discount?
Answer:
it will be $80.00 and your saving $20.00
Step-by-step explanation:
Elizabeth has a summer job at the gym. She earns a $30 bonus for each gold membership that she sells and a
$15 bonus for each silver membership that she sells.
Write a polynomial expression that describes Elizabeth’s total bonus
The polynomial expression would be 30G + 15S.
What is the polynomial expression?
A polynomial expression is an algebraic expression that is made up of one or more terms, where each term is the product of a constant coefficient and one or more variables raised to a non-negative integer power.
Elizabeth earns a $30 bonus for each gold membership she sells, and a $15 bonus for each silver membership she sells. Let G be the number of gold memberships she sells and S be the number of silver memberships she sells.
We can express Elizabeth's total bonus as:
$30G + $15S
This is a polynomial expression because it is a sum of two or more terms, each term being the product of a constant coefficient and a non-negative power of a variable.
It is also a linear polynomial expression because the highest power of the variable is 1.
Hence, the polynomial expression would be 30G + 15S.
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