If you save up $100 every 2 weeks, how much money would you have in a year ?
alr! so we know that there are around 52 weeks in a year (not counting leap years). and you save up 100 bucks every 2 weeks. then to find the answer, we do...
100(52/2)
100(26)
= $2600
youre welcome!
To solve the system of equations below, Grace isolated the variable y in the
first equation and then substituted into the second equation. What was the
resulting equation?
2y = 10x
x y²
64 36
= 1
Answer:
D
Step-by-step explanation:
2y=10x
Divide both sides by 2.
y=5x
Now substitute this into the second equation.
Answer:
b. \(x^2/64 - 5y^2/36=1\)
Step-by-step explanation: a p e x
Rewrite the statement as a biconditional statement: Perpendicular lines meet at right angles
Answer:
Lines are perpendicular if and only if they meet at right angles.
Step-by-step explanation:
I reworded the statement a little, but this would be the biconditional statement. Biconditional is written as p if and only if q, when the conditional is if p then q. For a biconditional statement to be true the statement must work both ways, backward and forward.
Consider the following number line. What is the sign of B+A
A. Positive
B. Negative
C. Neither positive nor negative- the sum is zero.
PLEASE ANSWER NOW ITS DUE IN MINUTES THE TEST
Answer:
c
Step-by-step explanation:
im 95% sure
Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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The selling price of a refrigerator, is $739.20. If the mark up is 20% of the dealers cost , what is the dealers cost of the refrigerator
Mark up percentages are used to increase the prices of items
The dealers cost of the refrigerator is $591.36
How to determine the dealer costRepresent the dealer cost of the refrigerator with x.
Given that the markup is 20% and the selling price of the refrigerator is $739.20, then we have the following equation
x = 739.20 * (1 - 20%)
Evaluate the product
x = 591.36
Hence, the dealers cost of the refrigerator is $591.36
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Anyone know where I can get the awsners for these? The top of the paper says ACT Skills Prep, Week 1
Answer:
More than likely no full answer key however there might be answers for each individual question.
The answer for this math problem because I don’t really understand it
Answer:
See below
Step-by-step explanation:
Start by subtracting 5.2 from both sides of the equation
so "subtraction property of equality " I suppose ......
then the next step would be divide both sides by 2.5
which would be division property of equality
Answer: Subtraction Property of Equality
Step-by-step explanation:
- the subtraction property of equality is the rule that when you subtract the same number to or from both sides of an equation and get an equivalent equation
__________________________________________________________
- for this equation you would subtract 5.2 from the left-side of the equation and subtract it from 35.2 on the right side of the equation
- this is to isolate n
- basically 2.5n = 30 since n is a variable and that number multiplied by 2.5 will equal 30
- so the new equation would be 2.5n = 30
- so then: \(\frac{n}{2.5}\) = \(\frac{30}{2.5}\) so n = 12
hope this helps :)
which equation is equivalent to xy (3x + 2y) = 4
Answer:
the value x is 0 and the value of y is 2
How much would Gwen and Lisa have to buy if they also had to replace the fence on their pool? Show how you found the answer.
To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.
To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.
Let's consider some factors that could affect the amount they would need to purchase:
Perimeter of the pool:
The length of the fence required would depend on the perimeter of the pool.
If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.
Fence height:
The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.
This would determine the length of fencing material they need to purchase.
Fence type and style:
Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.
The choice of fence material and style will impact the amount they would have to buy.
Gates and openings:
If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.
The number and size of gates would affect the total amount of fencing material needed.
With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.
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a planter is shaped like a right rectangular prism its height, h is 5 4/5 inches. The length, L is 14 1/2 inches ,and its width, W is 3 1/2 inches. When determining of the planter, which statements are correct
Answer:
There appears to be some part of the question missing. Assuming it asks about the volume, the volume is:
Step-by-step explanation:
The volume of a right rectangular prism may be calculated using the formula:
whl, where w is width, h is height and l is length.
In this case it is hlw or (5.8*14.5*3.5) = 294.35 cubic inches.
Answer: 8 ft
Step-by-step explanation:To find the correct answer, use the formula, V=l×w×h. Substitute 48 for the volume, 2 for width, and 3 for height. Then, use a related division equation to find the length.
48 = l × 2 × 3
48 = l × 6, so 48 ÷ 6 = l
8 = l
The length of the planter box is 8 feet.
100 POINTS PLEASE HELP FAST
Select the correct answer.
The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was half of its initial weight. After two hours, the weight of the isotope was half of its weight the previous hour. If this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time?
The top left graph represents the weight of the radioactive isotope over time.
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for the function in this problem are given as follows:
a = 96, b = 0.5.
Hence the function is given as follows:
\(y = 96(0.5)^x\)
Two points on the graph of the function are given as follows:
(1,48) and (2, 24).
Hence the top left graph represents the weight of the radioactive isotope over time.
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Answer:
Graph W
Step-by-step explanation:
The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.
Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).
The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.
Initial weight: 96 grams
After 1 hour: 96 / 2 = 48 grams
After 2 hours: 48 / 2 = 24 grams
After 3 hours: 24 / 2 = 12 grams
After 4 hours: 12 / 2 = 6 grams
After 5 hours: 6 / 2 = 3 grams
So, the points on the graph would be:
(0, 96), (1, 48), (2, 24), (3, 12), (4, 6), (5, 3)Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.
You invest $1800 in an account paying 6.3% interest compounded daily. What is the account's effective annual yield?
According to the concept of compound interest, the effective annual yield on your investment of $1800 at a 6.3% interest rate compounded daily is 6.49%.
To find the effective annual yield, we need to use the formula for compound interest:
A = P(1 + r/n)ⁿˣ
Where A is the amount of money at the end of the investment period, P is the principal amount invested, r is the annual interest rate, n is the number of times the interest is compounded in a year, and t is the number of years.
In this case, we know that the principal amount P is $1800, the annual interest rate r is 6.3%, and the interest is compounded daily, which means that n is 365 (the number of days in a year). We need to find the effective annual yield, which is the total amount of interest earned in one year.
To calculate the effective annual yield, we can use the following formula:
Effective Annual Yield = (1 + r/n)ⁿ - 1
Plugging in the values, we get:
Effective Annual Yield = (1 + 0.063/365)³⁶⁵ - 1
Effective Annual Yield = 0.0649 or 6.49%
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PLEASE HURRY ASAP DUE SOON
Question 4 (Worth 4 points)
(07.02 MC)
Rewrite 9x2 + 3xy + 15x + 5y in factored form.
(3x + 3)(5x + y)
(3x + 5)(3x + y)
(3x + 5y)(3x + 1)
(3x + y)(5x + 3)
Already picked D and its wrong
Answer:
b) (3x + 5)(3x + y)
Step-by-step explanation:
First, we can factor out a common factor of 3x from the first two terms:
9x^2 + 3xy = 3x(3x + y)
Now, we can factor out a common factor of 5 from the last two terms:
15x + 5y = 5(3x + y)
Putting it all together, we get:
9x^2 + 3xy + 15x + 5y = 3x(3x + y) + 5(3x + y) = (3x + 5)(3x + y)
A student wants to compare the amount of money that two local movie theaters make over a two-week period for the last nightly showing of a particular movie. The following box plots show the data for the amount of money each theater makes over the period. Compare the median of each box plot.
Please help it’s due in 3 minutes
The medians are about the same.
Option C is the correct answer.
How to solveThe median, in statistical terms, refers to the value in the center of a dataset that has been sorted either in ascending or descending order, and it is a commonly used measure of central tendency. This contrasts with the mean, which calculates the total value of all figures, then divides by the number of figures.
We have,
Movie theater 1.
From the box plot given,
The median is 995.
Movie theater 2.
From the box plot given,
The median is 995.
Thus,
The median in both the box plot is the same.
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Find the circumference of a circle with radius of 18 in. Leave your answer in terms of pi.
A. 18 pi in.
B. 324 pi in.
C. 54 pi in.
D. 36 pi in.
Answer:
36pi. in. answer is D
Step-by-step explanation:
C = 2(18)pi= 36pi in
what is the absolute value of -0.575
Answer:
hQIwgqhioiojhwvjia I VJILAija IOJA iojiao JIOA JIOJIA JIoj ijioJ Jjio ji jijioJI JIioj jio
Step-by-step explanation:
ADD 34
I need help please no one helps me :((
Multiple choice: Select the best answer for Exercises 49 to 52. Most people can roll their tongues, but many can’t. The ability to roll the tongue is genetically determined. Suppose we are interested in determining what proportion of students can roll their tongues. We test a simple random sample of 400 students and find that 317 can roll their tongues. The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is closest to (a) 0.008. (b) 0.02. (c) 0.03. (d) 0.04. (e) 0.208.
The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is closest to (d) 0.04
The margin of error is a statistic that describes how much random sampling error there is in survey results.
Given in question,
n = 400
p = 317/400
= 0.7925
Confidence Level = 95%
= 0.95
Formula for margin error, E = \(z\sqrt{\frac{p(1-p)}{n} }\)
Confidence level corresponding to 95 % confidence interval, z = 1.96
Therefore,
Margin Error, E = \(1.96\sqrt{\frac{0.7925(1-0.7625)}{400} }\)
= 0.0397
≈ 0.04
Hence, The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is 0.0397 which is closest to 0.04.
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2.2 2.1.4 a Given that A and B are complementary angles and 7 cos A-3 = 0. Determine WITHOUT the use of a calculator, the value of: 7 cos B-3 tan A. (4)
QUESTION 7
A patient's surgery is scheduled for 1500 hours. The patient must register two hours before the surgery. At what STANDARD time should the patient arrive to register? Be sure to
indicate AM or PM in your answer
Answer:
1:00 PM
Step-by-step explanation:
1500 hours is 3 PM. 3-2 = 1 So that would be 1 o'clock PM.
10. A square has side length 4x – 3, and an equilateral triangle has side
length 5x – 3. If the two figures have the same perimeters, what is the area
of the square?
4x - 3
A. 81 square units
B. 12 square units
5x - 3
C. 9 square units
D. 3 square units
Area of a square is given by \(\(A_{\text{square}} = s^2\)\), so the area of the square is: \(\[A_{\text{square}} = 9^2 = 81\]\).So, the correct answer is A. 81 square units.Let's denote the side length of the square as (s) and the side length of the equilateral triangle as (t). According to the given information:
Side length of the square: \(\(s = 4x - 3\)\)
Side length of the equilateral triangle: \(\(t = 5x - 3\)\)
The perimeter of a square is given by the formula \(\(P_{\text{square}} = 4s\)\), and the perimeter of an equilateral triangle is given by the formula\(\(P_{\text{triangle}} = 3t\).\)
Given that the two figures have the same perimeter, we can set up the equation:\(\[P_{\text{square}} = P_{\text{triangle}}\]\)
\(\[4s = 3t\]\)
Substitute the expressions for (s) and (t): \(\[4(4x - 3) = 3(5x - 3)\]\)
Now, solve for (x): \(\[16x - 12 = 15x - 9\]\)
\(\[x = 3\]\)
Now that we have found the value of \(x\), we can find the side lengths of the square and the equilateral triangle: \(\[s = 4x - 3 = 4(3) - 3 = 12 - 3 = 9\]\)
\(\[t = 5x - 3 = 5(3) - 3 = 15 - 3 = 12\]\)
The area of a square is given by \(\(A_{\text{square}} = s^2\)\), so the area of the square is: \(\[A_{\text{square}} = 9^2 = 81\]\).Therefore, the correct answer is option A: 81 square units.
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List all the factor pairs for the
number 48.
List all the factor pairs for the
number 23.
List all the factor pairs for the
number 12.
List the first 5 multiples for the
number 12.
List the first 5 multiples for the
number 8.
DON'T FORGET TO USE THE
MULTIPLE MONSTER.
(repeated addition or Math
Facts)
List the first 5 multiples for the
number 9.
List the first 5 multiples for the
number 4.
List the first 5 multiples for the
number 7.
Answer:
1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8
Sorry I can do more if needed
Step-by-step explanation:
A marketing research manager analyzes the data collected through loyalty cards at a popular local coffee shop. She investigates the relationship between repeated visits and the age of the customer. Interpret the analysis results, if her findings show that the correlation coefficient between these two variables is 0.64. What does it mean from a marketing perspective
Answer: See explanation
Step-by-step explanation:
Correlation is a term which simply measures the strength of the linear relationship that exist between two variables that are quantitative.
In the scenario in the question, since the correlation coefficient between the variables is +0.64, it means that there is a positive correlation between the two variables which means there's a positive relationship between the repeated visits to the coffee shop and the customer's age but they're weakly positively correlated .
Are there any linear quantities in the chart shown? And if so, what is the slope of said pairs?
The chart does not represent a linear quantity
How to determine if there are linear quantities in the chart shown?From the chart, we have the following coordinates
(x, y) = (0.10, 0.14), (0.50, 0.32), (1.00, 0.46), (1.70, 0.59) and (2.00, 0.63)
To determine if the chart is a linear quantity, we simply calculate the slope using the coordinates.
The slope is calculated as:
m = (y2 - y1)/(x2 - x1)
So, we have:
m = (0.32 - 0.14)/(0.50 - 0.10) = 0.45
m = (0.46 - 0.32)/(1.00 - 0.50) = 0.28
In the above computations, the calculated slopes are not equal
Hence, the chart does not represent a linear quantity
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Write an equation of the line passing through the point (9,3) that is perpendicular to the line y = + 11.
Answer:
9=3+11
Step-by-step explanation:
A
-pound bag of Kitty Kibbles is
. An
-pound bag of Feline Flavor is
. Which statement about the unit prices is true?
Feline Flavor has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Feline Flavor has a higher unit price of
/pound.
The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.
The correct answer choice is option D.
How to solve unit prices?Cost of 16-pound bag of Kitty Kibbles = $20.80
Unit price of kitty kibbles = Price / number of pounds
= $20.80 / 16
= $1.30 per pound.
Cost of 8-pound bag of Feline flavor = $11.20
Unit price of feline flavor = Price / number of pounds
= $11.20 / 8
= $1.40 per pound
Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.
Complete question:
A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?
A. Feline Flavor has a lower unit price of $1.40/pound.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
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Matt is helping to set up drinks and snacks for a luncheon.
Matt has 4.8 liters of iced tea. He is going to pour this into pitchers that can each only hold 0.8 liters of iced tea.
If Matt pours an equal amount of iced tea into each pitcher, how many pitchers does he fill?
Answer:
he will fill 6 pitchers
Step-by-step explanation:
4.8÷0.8=6
A sample of 15 recent college graduates found that starting salaries for attorneys in New York City had a mean of $102,342 and a standard deviation of $21,756. What does mu represent
Answer:
Population mean= mu = μ= $102,342
Step-by-step explanation:
Here
Sample size= n= 15
Population mean= mu = μ= $102,342
Population standard deviation = sigma = σ =$21,756
The population mean is given by mu = μ
Both the means , the sample mean and the population mean give the same measure but there is difference in their calculations and usage.
The population mean mu is calculated by using the population size N but the sample mean x bar is calculated using sample size.
In the given question the sample size is given of the students whereas the mean salaries for attorneys in New York City gives the population mean because the attorneys in New York City contains all the attorneys given in the city. It is not a sample.
The population gives all the members of the group. So here none is missing.
Joshua and Amahle are selling boxes of fruit for a Habitat for Humanity fundraiser. Customers can buy small
boxes of fruit and large boxes of fruit. Joshua sold 15 small boxes of fruit and 15 large boxes of fruit for a
total of $390.00. Amahle sold 20 small boxes of fruit and 25 large boxes of fruit for a total of $592.50. Find the cost of one small box of fruit and the cost of one large box of fruit.
Cost of small box: $
Cost of large box: $
The cost of one small box of fruit and the cost of one large box of fruit is $11.5 and $14.5 respectively.
What is the cost of small and large box?Let
cost of one small box of fruit = x
cost of one large box of fruit = y
15x + 15y = 390
20x + 25y = 592.50
From (1)
x + y = 26
x = 26 - y
Substitute x = 26 - y into (2)
20x + 25y = 592.50
20(26 - y) + 25y = 592.50
520 - 20y + 25y = 592.50
- 20y + 25y = 592.50 - 520
5y = 72.50
divide both sides by 5
y = 72.50/5
y = 14.5
Substitute y = 14.5 into
15x + 15y = 390
15x + 15(14.5) = 390
15x + 217.5 = 390
15x = 390 - 217.5
15x = 172.5
divide both sides by 15
x = 172.5/15
x = 11.5
Therefore, small box cost $11.5 and large box cost $14.5
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