a) The price (amount) of the house after 1 month = $9540
b) The price (amount) of the house after 3 months = $10719.14
c) The price (amount) of the house after 10 months = $16117.629
a ) How to find the rental price of the house after 1 month ?
The rental price of a dacha = Principle = $9000
Percentage increase in price = r = 6%
Number of months = n = 1
Amount of a compound interest is given by,
[tex]Amount = P(1 +\frac{r}{100} )^n\\\\=9000( 1 +\frac{6}{100}) \\\\= 9000(\frac{106}{100})\\\\= 90*106\\\\= 9540[/tex]
The rental price of the house after 1 month = $9540
b ) How to find the rental price of the house after 3 months ?
The rental price of a dacha = Principle = $9000
Percentage increase in price = r = 6%
Number of months = n = 3
Amount of a compound interest is given by,
[tex]Amount = P(1 +\frac{r}{100} )^n\\\\=9000( 1 +\frac{6}{100})^3 \\\\= 9000(\frac{106}{100})^3\\\\= 9000*(1.06)^3\\\\= 10719.14[/tex]
The rental price of the house after 3 months = $10719.14
c ) How to find the rental price of the house after 10 months ?
The rental price of a dacha =Principle = $9000
Percentage increase in price = r = 6%
Number of months = n = 10
Amount of a compound interest is given by,
[tex]Amount = P(1 +\frac{r}{100} )^n\\\\=9000( 1 +\frac{6}{100})^{10} \\\\= 9000(\frac{106}{100})^{10}\\\\= 9000*(1.06)^{10}\\\\= 9000*1.790\\\\= 16117.629[/tex]
The rental price of the house after 10 months = $16117.629
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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
The two equations that are true when x = -2 and x = 2 are x^2 - 4 = 0 and 4x^2 = 16.
We have given x = 2 and x = -2
Substitute the values in the given equations
Equation 1
x^2 - 4 = 0
Substitute x = 2 in LHS, we get
2^2-4 = 4 - 4 = 0 = RHS
Substitute x = -2 in LHS, we get
(-2)^2-4 = 4 - 4 = 0 = RHS
Equation 2
x^2 = -4
Substitute x = 2 in LHS, we get
2^2 = 4 ≠ RHS
Substitute x = -2 in LHS, we get
(-2)^2 = 4 ≠ RHS
Equation 3
3x^2 + 12 = 0
Substitute x = 2 in LHS, we get
3(2)^2 + 12 = 12 + 12 = 24 ≠ RHS
Substitute x = -2 in LHS, we get
3(-2)^2 + 12 = 12 + 12 = 24 ≠ RHS
Equation 4
4x^2 = 16
Substitute x = 2 in LHS, we get
4(2)^2 = 4(4) = 16 = RHS
Substitute x = -2 in LHS, we get
4(-2)^2 = 4(4) = 16 = RHS
Equation 5
2(x-2)2 = 0
Substitute x = 2 in LHS, we get
2(2-2)2 = 2(0)(2) = 0 = RHS
Substitute x = -2 in LHS, we get
2(-2-2)2 = 2(-4)(2) = 16
Hence, we find that Equation 1 and Equation 2 are true for x = 2 and x = -2
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Manuel was examining the product of 48 x 0.73. He realized that he could create other multiplication problems that have the same product. Select whether each expression has the same product as 48 x 0.73. 6.NS.3 No Yes 0 0 43 x 0.78 0 0 4.8 * 7.3 o 0,48 x 73 o 7.8 * 4.3 0 0 480 x 0.073 roto of 283 miles per hour. Nora walks at a rate of
We will solve as follows:
*First: We find out the value of the product:
[tex]48\cdot0.73=35.04[/tex]Now, we find out from the other expressions:
*First:
[tex]43\cdot0.78=33.54[/tex][No]
*Second:
[tex]4.8\cdot7.3=35.04[/tex][Yes]
*Third:
[tex]0.48\cdot73=35.04[/tex][Yes]
*Fourth:
[tex]7.8\cdot4.3=33.54[/tex][No]
*Fifth:
[tex]480\cdot0.073=35.04[/tex][Yes]
A researcher numbers each household in the city and uses a random number generator to select individual households for the sample. By chance, none of the households chosen were households of single millennials. This is an example of Answer
. }.
A company's receipts gives a website where customers can fill out a survey to receive a coupon. This is an example of Answer
.
Your friend forgot she was supposed to conduct a poll of your high schools' students. She asks everyone in your homeroom if they think the school should have a new mascot. She presents the results to the student council. This is an example of Answer
undercoverage bias
1. The type of bias that the researcher would be making here based on the fact that the households were not that of single millennials is the sampling bias.
2. The voluntary response bias is the type of bias that is being done where the receipts of the website would be the bias that would occur from the company's website.
3. The under coverage bias is what would happen in this scenario given that the friend would not have to ask all of the persons that would be used for the study.
What is a research bias?This is the term that is used to refer to the systematic error that would occur in research due to the researchers methods.
1. The answer is the sampling error due to the fact that the random generator was what was used. This would end up giving a sample that would not show the true representation of all of the population.
2. The voluntary response bias is what would be made here because those filling the form are doing it voluntarily.
3. The undercoverage bias is made here because the opinion of the entire school population is not well represented here.
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what is the radius of the circle?
Answer:
7 units
Step-by-step explanation:
Hello!
The radius of a circle is the distance from the center of the circle to it's outer edge.
The radius of this circle is 7 units, as the distance from the center to the outer edge is 7.
Answer:
7 units
Step-by-step explanation:
count from the center to the circle to one of the sides which is 7 units
a lecture hall at nc state has 220 seats with fold-down writing pedestals, 25 of which are designed for left-handers. an intro. to economics class with 215 students meets in this lecture hall. assume that 13% of the general population is left-handed. question 1. what is the probability that at least one right-handed student in this class is forced to use a seat designed for a left-hander? (use 4 decimal places.) question 2. what is the probability that at least one left-handed student in this class is forced to use a seat designed for a right-hander? (use 3 decimal places.)
1) There exists a 3.82% probability that at least one right-handed student in this class is forced to utilize a seat designed for a left-hander.
2) There exists a 68.35% probability that at least one left-handed student in this class is forced to use a seat designed for a right-hander.
What is meant by Binomial probability distribution?The binomial probability exists the probability of exactly x successes on n repeated trials, and X can only contain two outcomes.
[tex]$P(X=x)=C_{n, x} \cdot \pi^x .(1-\pi)^{n-x}$$[/tex]
In which [tex]$C_{n, x}$[/tex] exists the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]$C_{n, x}=\frac{n !}{x !(n-x) !}[/tex]
And π exists the probability of X happening.
Given: 13 % of the students are left-handed and 100 - 13 = 87 % are right handed.
There are 220 sets. Of them, 25 exists designed for left handers and 220-25 = 195 for right handers.
There are 215 students, so n = 215.
In this case, a success is a student being right-handed. So [tex]$\pi=0.87$[/tex].
There are 195 seats for right handed students. If there are 196 or more right handed students, they will have to use a seat designed for a left hander. We have to find [tex]$P(X \geq 196)$[/tex]. Utilizing a binomial probability calculator, we find that [tex]$P(X \geq 196)=0.0382$[/tex]
So, there is a 3.82 % probability that at least one right-handed student in this class exists forced to utilize a seat designed for a left-hander.
There are 25 seats for left-handed students. If there exists 26 , or more, at least one exists going to be forced to utilize a seat designed for a right-hander.
In this case, a success is a student being left-handed. So [tex]$\pi=0.13$[/tex].
We have to find [tex]$P(X \geq 26)$[/tex].
Using a binomial probability calculator, we have that [tex]$P(X \geq 26)=0.6835$[/tex]
There exists a 68.35 % probability that at least one left-handed student in this class is forced to utilize a seat designed for a right-hander.
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Courtney used 1650 inches of ribbon to make 300 hair bows all the same size. how many inches of ribbon does she need to make 1 bow?
Answer:
5.5 inches
Step-by-step explanation: if you divide it, u will get 5.5 inches
two people dined at the la fiesta grill where the food cost was $36.54 to that a tax of 4.12 was added what ha the percentage of this tax round your answer to the nearest tenth
The percentage of the tax is 11.26%
Percentage:
Percentage is defined as the number or ratio that can be expressed as a fraction of 100. If you want to calculate percent of a number, divide the number by the whole and multiply by 100.
Given,
Two people dined at the la fiesta grill where the food cost was $36.54 to that a tax of 4.12 was added .
Here we need to find the tax in percentage.
Let us consider x be the percentage of tax has been added to the food.
The the given details, we have identified the following details,
Amount of the food = $36.54
Tax amount = $4.12
So, it can be written as,
x% of $36.54 = $4.12
Here we need the percentage value so we have to move the other to the right side, then we get,
x% = $4.12/36.54
x% = 0.1126
To convert it into percentage, then we have to multiply it by 100, then we get,
x = 11.26
Therefore, the tax percentage is 11.26%.
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Lena purchased a prepaid phone card for 30.50 . calls cost 15 cents a minute using this card. the credit, c (in dollars), left on the card after it is used for minutes of calls is given by the following. how much credit is left on the card after lena uses it for 15 minutes of calls?
Only $28.25 are available. After Lena uses the card for 15 minutes of calls, there are still 28.25 credits left.
Given that,
Lena spent $30.50 on a prepaid phone card. With this card, calls cost 15 cents each minute. the amount of credit, c (in dollars), remaining on the card following x minutes of calls
It can be written as,
C(x) = 30.50 - 0.15x
C(x) = 30.50-(0.15 x 15)
after Lena uses it for 15 minutes,
C(x) = 30.50 – 2.25 = $28.25 in remaining credits.
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Shane is a building engineer and is determining the length of an access ramp needed to reach a step 1.5 feet off the ground. He knows the length of the ramp, r, in feet, can be expressed with the equation below.First, Shane finds that sin(4.5°) ≈ 0.08. Using his calculator, he then calculates the length of the ramp as shown below.What could Shane do to make his calculation more accurate? A. Use sin(4.5°) in his calculator instead of 0.08. B. Remeasure the angle with a different tool. C. Use the Pythagorean theorem to find the length of the ramp. D. Use a different trigonometric function to find the length of the ramp.
Statement Problem: Shane is a building engineer and is determining the length of an access ramp needed to reach a step 1.5 feet off the ground. He knows the length of the ramp, r, in feet, can be expressed with the equation below.
First, Shane finds that sin(4.5°) ≈ 0.08. Using his calculator, he then calculates the length of the ramp as shown below.
What could Shane do to make his calculation more accurate?
Solution:
The length of the ramp, r, in feet is expressed using the sine ratio;
[tex]\begin{gathered} \sin \theta=\frac{opposite}{hypotenuse} \\ \sin 4.5^o=\frac{1.5}{r} \\ r=(\frac{1.5}{\sin 4.5})ft \\ \end{gathered}[/tex]Hence, Shane's calculation would be more accurate if he uses sin (4.5 degrees) in his calculator instead of 0.08
CORRECT OPTION: A
what’s the quadratic formula
2X-3X-3=0?
Determine whether each function is quadratic function by graph
F(x) = 1/2 x - 4
will mark branliest
Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?
Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?
circle formula:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
Given:
[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]
put into circle formal format:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}\\(x-1)^{2} +(y-(-3))^{2} =4^{2}[/tex]
The center of the circle is at point (h,k)
[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]
center should be at: (1,-3)
Answer:
lower row, left grid.
Answer:
Lower left, bottm, circle
Step-by-step explanation:
See attached graph
The __________ shows the number of data items with values less than or equal to the upper class limit of each class.
Answer: Cumulative frequency distribution
Step-by-step explanation: Not entirely sure but I believe you are looking for this definition based on the question. Hope this helps :)
Which pair of statements about the lengths of two sides of the triangle is true? 10 9 8 D (8,7) 7 л д) 4 3 2 1 X F(6, 1) 2 3 4 5 6 E (8.1) 8 9 10 1 7 O A. The side length between Dand Eis 7 units. The side length between Eand Fis 2 units. O B. The side length between D and Eis 6 units. The side length between E and Fis 2 units. O C. The side length between D and Eis 2 units. The side length between E and Fis 6 units. O D. The side length between D and Eis 8 units. The side length between Eand Fis 1 units.
Answer:
Choice B.
Explanation:
The side length is the distance between the vertices of the triangle given.
Simone Buys A shirt and a hat. The hat costs 6 the shirt costs 5 times as much as the hat. How much more does the shirt cost than the hat? Break up the problem and two small steps use a more models and equation to complete each step find how much to shirt cost find how much more shirt cause then the hat
The equation to find the cost of the shirt is s = 5h and the cost is 30.
What is an equation?An mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario
Cost of the hat = 6
The shirt costs 5 times as much as the hat. Therefore, this will be:
s = 5h
where s = cost of shirt
h = cost of hat
The cost will be:
s = 5h
s = 5 × 6
s = 30.
The cost is 30.
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Answer:
11
Step-by-step explanation:
You will just add 6+5=11
Find the max and min values
100 +14.75 %
Step-by-step explanation:
100+14.75%
100+14=114
=114.75%
HURRY WILL MARK BRAINLIEST
Evaluate.
(18−42+2)21÷4⋅12
Responses
2
32
64
128
Answer:
128
Step-by-step explanation:
solve for inside parentheses:
-22x21÷4-12
do multiplication and division:
-115.5-12
subtract:
-127.5
Hope this helps
A. Find the equation of the L line that intersects graph C at point A (2, -5). B. Find the line equation with the coefficient of direction equal to -10 and touch and graph C
Graph C has a function
[tex]f(x)=2x^3-16x+11[/tex]Since the line L intersects the graph at the point, A (2, -5)
To find the slope of the line we will differentiate the f(x) and substitute x by 2
[tex]\begin{gathered} f^{\prime}(x)=2(3)x^{3-1}-16x^{1-1}+0 \\ f^{\prime}(x)=6x^2-16 \\ m=6(2)^2-16 \\ m=24-16 \\ m=8 \end{gathered}[/tex]The slope of the line is 8, substitute it in the form of the linear equation
[tex]\begin{gathered} y=mx+b \\ y=8x+b \end{gathered}[/tex]To find b substitute x by 2 and y by -5
[tex]\begin{gathered} -5=8(2)+b \\ -5=16+b \end{gathered}[/tex]Subtract 16 from both sides to find b
[tex]\begin{gathered} -5-16=16-16+b \\ -21=b \end{gathered}[/tex]Then the equation of the line is
[tex]\begin{gathered} y=8x+(-21) \\ y=8x-21 \end{gathered}[/tex]Is a total of 13 horses complete in the horse race the bell mistakes and how many different ways can the top 5 position be arranged
SOLUTION:
Questions involving arrangement is permutation, while questions involving selection is combination.
Since the given question involves arrangement, so the correct option is PERMUTATION.
The number of possible arrangements for the top five finishers from the 13 horses is 13 permutation 5.
[tex]^{13}P_5\text{ = 154,440 ways}[/tex]A rental car company charges $53.46 per day to rent a car and $0.13 for every
mile driven. Mei Mei wants to rent a car, knowing that:
She plans to drive
350
miles.
She has at most $260 to spend.
Which inequality can be used to determine d, the maximum number of days
Mei Mei can afford to rent for while staying within her budget?
Answer: 260 is greater than 53.46 times X +.13×350
Step-by-step explanation: You know you have to stay under $260 because that’s all she has so that’s where you get to 260 is greater than
And she knows she’s going to go about 350 miles so 260 is greater than $.13 times 350+5346 times you don’t know how many days so that your variable X
It costs $2.50 to rent bowling shoes. Each game $2.25. Write an equation that represents the cost, c, to bowl after g, number of games
In linear equation, $9.25, you can bowl a maximum of 3 games.
What in mathematics is a linear equation?
An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x). The dependent variable in this scenario is y since it depends on the independent variable, x.If it costs $2.50 to rent bowling shows and each game costs $2.25, then the total cost of playing x bowling games can be represented as
C = 2.50 + 2.50x
If you have a total of $9.25, then
9.25 = 2.50 + 2.25x
Subtracting 2.50 from both sides of the equation, we get
9.25 - 2.50 = 2.50 + 2.25x - 2.25
6.75 = 2.25x
Dividing both sides of the equation by 2.25, we get
6.75/2.25 = 2.25x/2.25
x = 3
Therefore, with $9.25, you can bowl a maximum of 3 games.
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pls help me super confused on inequality
Simply the equation 3(6+x)=-18
Answer 3(6 + x) = -18 is 3
Explanation.-18 = 3(6 + x)
-18 = 18 + 3x
3x = 18 - 18
x = 0 + 3
x = 3
____________________
Class: High School
Lesson: Equation
[tex]\boxed{ \colorbox{lightblue}{ \sf{ \color{blue}{ Answer By\:Cyberpresents}}}}[/tex]
Decide whether each statement is sometimes true, always true, or never true. If the statement is sometimes true give one example of when it is true and an example of when it is not. See Instructions."The linear regression line passes through the average of the x-values and the average of the y-values."Your answer:See Instructions. "A positive correlation coefficient means that the points in the scatterplot are very close together."Your answer:See Instructions."A correlation coefficient close to 1 means that a linear model is most appropriate for the data."Your answer:
In general, the linear regression formula is shown below
[tex]undefined[/tex]explain how you got the answer
Slope - 2/3
y - intercept : (0,3)
x | y
0 | 3
3 | 1
Please fill in the blanks. I set it as 30 but I don't know how many points you get for answering lol
The function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.
In this question, we have been given a function y = k/d³
We need determine whether function is power function or not.
We know that, a power function is of the form y = x ^n where n is any real number.
We can write given function as,
y = k × d^(-3)
Given that, k represents a constant.
Here, the value of y depends on the value of d.
So, d is an independent variable and y is dependent variable.
also, the power of given function is -3
Therefore, the function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.
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What is the distance between the points (−7, −3) and (−7, −9) ? Responses
There are 60 members in the school glee club. The glee club needs to raise at least $5,000 for a trip toa national competition. The school agreed to contribute $1,000 toward the trip. Which of theinequalities below shows the amount of money that each glee club member needs to raise to help payfor the trip.a) 60x + 1,000 > 5,000b) 60x + 5,000 > 1,000c) 1,000x + 60 < 5,000
Let x be the amount raised by each club member. Since there are 60 members, the amount raised by them would be
[tex]60x[/tex]Now, we know the school contributed $1,000. Now, the amount raised is:
[tex]60x+1000[/tex]Since this amount has to be at least $5,000, we have that the inequality that shows the amount of money that each glee club member needs to raise to help pay for the trip is:
[tex]60x+1000>5000[/tex]Answer: Option A
If Rie’s legs are 99cm long, and Rie is 165cm tall. What percentage of Rie’s body is legs?
The percentage of Rie's body that is Rie's legs is: 60%.
What is Percentage?A percentage can be defined as an amount in each hundred or, simply put, a proportion of a quantity in relation of a whole.
How to Find the Percentage of a Quantity in a Whole?To find the percentage of a quantity in a whole, divide the quantity by the whole quantity, then multiply the quotient by 100.
The "whole" in this problem is Rie's height, which is: 165 cm
The "quantity" in the context of this question is the length of Rie's leg, which is: 99 cm.
Therefore, to find the percentage of Rie's legs in Rie's body, we have the following:
99/165 × 100
= 0.6 × 100
= 60%.
Therefore, Rie's leg is 60% of Rie's body.
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How do we calculate slope when given two points on a coordinate plane?
Step-by-step explanation:
Given the coordinates of two points on a line, use the slope formula to find the slope of the line. The slope formula is m=(y2-y1)/(x2-x1) or the change in y value versus the change in x value. The coordinates of the first point represent x1 and y1. The coordinates of the second point are x2, y2.
Answer:
To find the slope, use the formula Rise over Run.
1.) Insert the Y coordinates into their correct space.
2.) Plug in the X coordinates.
3.) Subtract your Y coordinates.
4.) Subtract your X coordinates.
5.) Reduce if needed.
6.) You're done!