The rent of the apartment during the 6th year would be approximately $2305.2 when rounded to the nearest tenth.
To calculate the rent of the apartment during the 6th year, we need to apply a 10.5% increase each year to the previous year's rent.
Let's break it down year by year:
Year 1: Rent = $1400
Year 2: Rent = $1400 + 10.5% of $1400
= $1400 + (10.5/100) * $1400
= $1400 + $147
Year 3: Rent = Year 2 Rent + 10.5% of Year 2 Rent
= ($1400 + $147) + (10.5/100) * ($1400 + $147)
= $1400 + $147 + $15.435
= $1562.435
Similarly, we can calculate the rent for subsequent years:
Year 4: Rent = Year 3 Rent + 10.5% of Year 3 Rent
Year 5: Rent = Year 4 Rent + 10.5% of Year 4 Rent
Year 6: Rent = Year 5 Rent + 10.5% of Year 5 Rent
Using this pattern, we can calculate the rent for the 6th year:
Year 6: Rent = Year 5 Rent + 10.5% of Year 5 Rent
Let's calculate it step by step:
Year 1: Rent = $1400
Year 2: Rent = $1400 + (10.5/100) * $1400
Year 2: Rent = $1400 + $147
Year 2: Rent = $1547
Year 3: Rent = $1547 + (10.5/100) * $1547
Year 3: Rent = $1547 + $162.435
Year 3: Rent = $1709.435
Year 4: Rent = $1709.435 + (10.5/100) * $1709.435
Year 4: Rent = $1709.435 + $179.393
Year 4: Rent = $1888.828
Year 5: Rent = $1888.828 + (10.5/100) * $1888.828
Year 5: Rent = $1888.828 + $198.327
Year 5: Rent = $2087.155
Year 6: Rent = $2087.155 + (10.5/100) * $2087.155
Year 6: Rent = $2087.155 + $218.002
Year 6: Rent = $2305.157
Therefore, the rent of the apartment during the 6th year would be approximately $2305.2 when rounded to the nearest tenth.
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A mountain is in the shape of a cone whose height is about 3.8 kilometers and whose base radius is about 3 kilometers. Approximate the volume of the mountain in cubic kilometers.
The volume of the mountain is approximately cubic kilometers.
(Round to the nearest whole number as needed.)
Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.
What is volume?Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet.
In the given question,
The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base, h is the height, and π is approximately 3.14.
Substituting the given values, we get:
V = (1/3) × 3.14 × 3² × 3.8
V ≈ 35.63
Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.
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Solve for x: 92 - 17x = -24
The answer is -4 but I don’t know how to get it. Please show work because I need to understand it
Answer: x=-4
Step-by-step explanation:
i'm assuming that you meant 92-17x=24 instead of -24 because that gives the answer -4
the goal of these equations is to get all the x variables on one side and all of the constants on the other side.
92-17x=-24
92-17x -92 =24 -92
-17x=-68
divide both sides by -17
x = -4
Factor.
x^3-27
help!!!!
\(\boxed{(x-3) (x^2 + 3x + 9)}\)
Step-by-step explanation:
x^3-27
Factor.
(x-3) (x^2 + 3x + 9)
Hope this helps!
Answer: C. (x-3) (x^2+3x+9)
Step-by-step explanation: If you need an explanation please comment.
Given a force of 10N and an acceleration of 5m/s? What is the mass?
Answer:
2kg = massStep-by-step explanation:
What is the mass?Mass is a body of matter without definite shape.
Use the Newton's second law of motion formula.
Note: \(\longrightarrow \sf{F=M*A}\)
Given:
Force = 10NAcceleration = 5m/sFirst thing you do is divide.
10/5=2
= 2kg (mass)
Therefore, the final answer is 2kg (mass).
I hope this helps, let me know if you have any questions.
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Given a force of 10N and an acceleration of 5m/s? What is the mass?
We have that the data of the exercise are:
Force (F) = 10N
Acceleration (a) = 5m/s²
Mass (m)= ?
We have that the formula is:
F = m * aWe solve the formula to calculate the mass.
F/a = m*a/a ===> clear formula f/a = mWe substitute our data in the formula and solve:
m = f/a m = 10 N/5m/s²We break down the Newton units:
Kg*m/s², we are left with:
m = 10 Kg*m/s²/5m/s² m = 2 kgThe mass is 2 Kilograms. ===> Answer
Note: When writing your exercise, make sure the data is secure. Because if I write m/s it is the speed and not the acceleration.
In which number does the 7 have a value that is 1/100 the value of the 7 in 468.705?
A 564.270
B 695.187
C 713.442
D 870.349
NEED HELP ASAP
Answer:
B 695.187
because 7 in 468.705 has value 1/10
1/100×1/100 is 1/1000 which is 0.007.
Answer:
B. 695.187
Explanation:
In the number 468.705, the number 7 is in tenths place (0.1)
If the value of 7 in that number which is 0.1 has value of 1/100, then
0.1 × 1/100 = 0.001 (thousand place)
Then the number 7 will be in thousands place: 0.007
Among options, option B (695.187) has the value of 7 in thousands place.
Solve the following inequalities!!!
Show or explain your work for full credit. Reminder you can use diagrams to help you solve. You can also solve inequalities with equal signs to find your boundary. Don't forget to test your answer to make sure it makes sense.
30x + 5 < 120
4x - 9 >90
28x + 4 < 140
Answer:
30x + 5 < 120
30x < 20 - 5
30x < 15
x < 0.5
4x - 9 > 90
4x > 90+9
4x > 99
x = 24.75
28x + 4 < 140
28x < 140-4
28x < 136
x = 4/6/7
HOPE IT HELPS!!
Pls help step by step pls
Answer:
a₄ = 67
Step-by-step explanation:
the recursive rule allows a term to be found from the previous term
using the recursive rule
\(a_{n}\) = - 3\(a_{n-1}\) - 2 , then
a₁ = - 3
a₂ = - 3a₁ - 2 = - 3(- 3) - 2 = 9 - 2 = 7
a₃ = - 3a₂ - 2 = - 3(7) - 2 = - 21 - 2 = - 23
a₄ = - 3a₃ - 2 = - 3(- 23) - 2 = 69 - 2 = 67
______is there a commutative property of subtraction for rational numbers
No, there is no commutative property of subtraction for rational numbers. The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers.
The commutative property states that the order of the operands does not affect the result of an operation. For addition and multiplication, the commutative property holds true. However, for subtraction, the order of the operands does matter, and thus, the commutative property does not apply.
Let's consider an example to demonstrate this:
Take the rational numbers 3/4 and 1/2.
If we subtract 3/4 from 1/2, we have: 1/2 - 3/4 = (2/4) - (3/4)
= -1/4.
If we subtract 1/2 from 3/4, we have: 3/4 - 1/2 = (3/4) - (2/4)
= 1/4.
As you can see, the results are different when the order of subtraction is changed, indicating that subtraction does not follow the commutative property for rational numbers.
The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers. Changing the order of subtraction changes the result, making subtraction non-commutative for rational numbers.
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The commutative property does not apply to the operation of subtraction with rational numbers. This is because changing the order of the numbers in a subtraction operation will give a different result.
Explanation:In mathematics, the commutative property refers to the idea that the order in which numbers are used in an operation does not change the result of that operation. This property holds true for addition and multiplication but, unfortunately, it does not hold true for subtraction and division. For example, in subtraction, if we take two rational numbers such as 5 and 3, 5 - 3 is equal to 2, but 3 - 5 equals to -2. As you can see, changing the order of the numbers gives us different results, demonstrating that there is no commutative property of subtraction for rational numbers.
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Find the equation of this line
Researchers want to estimate the percentage of people who thought drinking and driving was a serious problem. Researchers waited outside a randomly selected bar to questions people. They usually find 20% of bar patrons believe drinking and driving is a serious problem. What sampling method was used here
The sampling method used in this scenario is convenience sampling.
Convenience sampling is a non-probability sampling technique where researchers select individuals who are easily accessible or readily available for participation in the study. In this case, the researchers waited outside a randomly selected bar and surveyed the bar patrons. The individuals surveyed were chosen based on their convenience and accessibility, as they were already present at the bar.
While convenience sampling is a quick and easy way to collect data, it may introduce biases and limitations to the study. The sample obtained through convenience sampling may not be representative of the entire population, as it relies on the availability and willingness of individuals to participate. In this case, the researchers surveyed bar patrons, which may not accurately represent the broader population's beliefs about drinking and driving. Therefore, the findings obtained through convenience sampling may not be generalizable to the entire population.
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3x – 2y = 0 4x + 2y = 14 solve by elimination
Answer:
(2, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x - 2y = 0
4x + 2y = 14
Step 2: Solve for x
Elimination
Combine equations: 7x = 14Divide 7 on both sides: x = 2Step 3: Solve for y
Define equation: 3x - 2y = 0Substitute in x: 3(2) - 2y = 0Multiply: 6 - 2y = 0Isolate y term: -2y = -6Isolate y: y = 38. Write an inequality to represent the following constraint.Mowing a large yard (x) uses 0.3 gallons of gasoline, and mowing a small yard (y) uses 0.2 gallons of gasoline. There are 6 gallons of gasoline available. ______ ≤ _______
Answer:
0.3x + 0.2y ≤ 6
Explanation:
If mowing a large yard uses 0.3 gallons of gasoline, mowing x large yards will use 0.3 times x gallons of gasoline which can be written as
0.3x
In the same way, if mowing a small yard uses 0.2 gallons of gasoline, mowing y small yards use 0.2 times y gallons of gasoline which can be written as
0.2y
Therefore, the total gallons of gasoline will be
0.3x + 0.2y
However, this has to be less than or equal to 6, then
0.3x + 0.2y ≤ 6
a bag of marbles contains 6 red and 2 white marbles. if two marbles are selected, what is the probability that one is red and the other is white
The probability that one marble is red and the other is white when two marbles are selected from the bag is 3/7
To find the probability that one marble is red and the other is white when two marbles are selected from a bag containing 6 red and 2 white marbles, you can use the following formula:
P(Red and White) = P(Red first) * P(White second) + P(White first) * P(Red second)
In this case:
P(Red first) = 6/8 (since there are 6 red marbles and a total of 8 marbles)
P(White second) = 2/7 (after removing one red marble, there are 2 white marbles and a total of 7 marbles left)
P(White first) = 2/8 (since there are 2 white marbles and a total of 8 marbles)
P(Red second) = 6/7 (after removing one white marble, there are 6 red marbles and a total of 7 marbles left)
Now, substitute these values into the formula:
P(Red and White) = (6/8) * (2/7) + (2/8) * (6/7) = (12/56) + (12/56) = 24/56
Simplify the fraction:
P(Red and White) = 3/7
So, the probability that one marble is red and the other is white when two marbles are selected from the bag is 3/7.
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last year, 20 percent of all teenagers purchased a new iphone. this year, a sample of 260 randomly chosen teenagers showed that 39 had purchased a new iphone. to test whether the percentage has decreased, the p-value is:
The p-value is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.
The p-value can be calculated by using a one-proportion z-test. The null hypothesis would be that the percentage has stayed the same from last year, and the alternative hypothesis is that the percentage has decreased.
The formula for the z-score is (x-p)/√(p(1-p)/n), where x is the observed proportion (39/260), p is the expected proportion (0.20), and n is the sample size (260). The p-value is then calculated using the z-score and the cumulative distribution function.
Therefore p-value, in this case, is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.
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Derek and Jeannine buy a car for a total price, including tax, of $19,795. The price of the car was $18,500.
What is the tax rate?
Answer:
7%
Step-by-step explanation:
19,795 - 18,500 = 1295
What percent is 1,295 of 18,500
X/100 = 1295/18,500 (cross multiplication)
= 7%
Will mark as brainliest. Please show work!
Please see the image below(math)
Answer:
21
Step-by-step explanation:
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
AD AH
----- = ---------
AB AH +y
3 9
---- = ------
10 9+y
Using cross products:
3(9+y) = 9*10
27+3y = 90
3y = 90-27
3y =63
y = 63/3
y = 21
Answer:
y = 21
Step-by-step explanation:
According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.
Therefore, according to the Side Splitter Theorem:
\(\boxed{\sf AD : DB = AH : HC}\)
From inspection of the given triangle, the lengths of the line segments are:
AD = 3DB = 7AH = 9HC = yTo find the value of y, substitute the given line segment lengths into the proportion and solve for y:
\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)
Therefore, the value of y is 21.
The World Health Organization lists the following overall literacy rates per 100 people for countries. Which answer choice includes all countries with literacy rates above 90%?
PLEASE HELP.
Use the drawing tool(s) to form the correct answer on the provided graph. The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation of f as shown below. g(x) = f(-2/3x)
WILL GIVE 100 POINTS.
Step-by-step explanation:
Given function:
f(x) = xThe transformation of f(x) is g(x):
g(x) = f(-2/3x) = -2/3xThe graph of g(x) is attached below
a 90% confidence interval for a population mean is (10, 20). what is the margin of error of the interval?
the margin of error for the 90% confidence interval is 5.
the margin of error is equal to half the width of the confidence interval. Therefore, to find the margin of error, we need to find the width of the interval and divide it by 2.
The width of the interval is found by subtracting the lower bound (10) from the upper bound (20), which gives us 10. Dividing this by 2 gives us the margin of error, which is 5.
the margin of error for the 90% confidence interval is 5.
The margin of error for the given 90% confidence interval is 5.
A confidence interval (CI) is an estimated range of values within which the population mean is likely to fall, with a certain level of confidence (in this case, 90%). The CI is given as (10, 20). To find the margin of error, follow these steps:
1. Calculate the midpoint of the interval by averaging the lower and upper limits: (10 + 20) / 2 = 15.
2. Subtract the lower limit from the midpoint: 15 - 10 = 5.
The margin of error for the given 90% confidence interval (10, 20) is 5. This means that we are 90% confident that the population mean lies within 5 units of the midpoint value (15).
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hey i am indian and i found that
Indian brainly has lot of chaos
how are you guys doing?
Answer:
Good!!
Step-by-step explanation:
Hi! doing good, you?
Answer:
good u?
Step-by-step explanation:
andre is writing a paper for science class he can type 30 words per minute what is the ratio of words to minutes
Answer:
30words
60
30/ 60 = 1/2
The ratio is 1:2
Thank you and please rate me as brainliest as it will help me to level up
based on size, which of the following groups would be the most
stable?
a. 15 people
b. 5 people
c. 10 people
d. 2 people
The group that would be the most stable based on size would be 10 people. So, the correct answer is c. 10 people.
What is a group?A group is a set of people or objects that are deemed to be equivalent or share a common feature. Group members may collaborate and share knowledge to achieve a common goal. The group's performance is frequently greater than the sum of its members' individual efforts, and this is known as the group effect.
What is group stability?Group stability is defined as the ability of a group to remain together and keep working toward its objective over time. It is essential for a group to achieve its objectives and is typically linked to the group's size and objective. A stable group can withstand external pressures and is less susceptible to breaking up or being disbanded.
How does size affect group stability?A group's size has a significant influence on its stability. Small groups are often more cohesive and productive than large groups. On the other hand, as a group's size grows, it becomes more challenging to sustain cohesion and productivity. A group of 10 people would be the most stable since it's not too large or too small. Thus, the correct option is c. 10 people.
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Snow is accumulating on mrs. Garcias driveway at a rate of 3/4 of an inch per hour. If there were already 3 inches of snow on her driveway when she woke up at 6:00 in the morning, how many inches of snow were on the driveway when she started shoveling 90 minutes later?
Answer:
4.125 inches.
Step-by-step explanation:
Based on the information provided we see that she took 90 minutes before shovelling which is 1 hour and 30 minutes or 1 1/2 hours (1.5 hours). Since we also know that the snow has been accumulating at a rate of 3/4 (0.75) inch per hour then we simply multiply these two values together to find out how much snow has accumulated.
0.75 * 1.5 = 1.125 inches
Now we can add this amount to the initial amount at 6:00 in the morning to find how many inches of snow were on the driveway when she started shovelling
3 + 1.125 = 4.125 inches.
Find each unit rate. Round answers to hundreds
3) $57 for 6 hours of work
The unit rate is $9.50 per hour
A unit means one of several things. A unit rate means a rate for one thing. We write it as a ratio with the denominator being one.For example, if you run 70 meters in 10 seconds, on average you have run 7 meters in 1 second. Both rates, 70 meters in 10 seconds and 7 meters in 1 second, are ratios, but 7 meters in 1 second are unit rates. The unitary method is a method in which you find the value of one unit and then the value of a required number of units.Suppose you go to the market to buy 6 apples. The trader tells you that he is selling 10 apples for Rs 100. In this case, the number of apples is the unit and the price of the apples is the value.
As the rate for 6 hrs. is $57,
the rate is 57/6=(3×19) / (3×2)
=19/2
=9.50
The unit rate is $9.50 per hour
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HELPP 100 POINTS!!!!!
Each figure in the sequence shown is composed entirely of 1 x 1 shaded squares. If the pattern is continued, how many 1 x 1 shaded squares will there be altogether in the first 21 figures?
Answer:
924
Shaded squares
Step-by-step explanation:
So we know that the pattern adds 4 new shaded squares every time, if we do that up to 21 you’ll get 84 for the last shaded square (21*4)
Now we want to know everything added up so we have to add 4,8,12,16,20...84
Theres a easier way then adding them 1 by 1
So we know the last number plus the first number is 88 (84+4), now this patter also repeats for the 2nd number and the 2nd to last number (80), so that is 8+80 which is also 88. Now we half the 21 which is 10.5, you then multiply 10.5*88 which is 924. You can use this method for any question but instead with different numbers.
Answer:
924
Step-by-step explanation:
MY FRIEND GAVE ME THIS ANSWER BUT I DON'T KNOW HOW TO GET IT
the length of a rectangle is four times its width. if the perimeter is at most 130 centimeters, what is the greatest possible value for the width? question 3 options: 2w + 2 • (4w) < 130 2w + 2 • (4w) > 130 2w + 2 • (4w) ≤ 130 2w + 2 • (4w) ≥ 130
Answer:
Step-by-step explanation:
Let L be the Length and W be the Width of a rectangle.
We are told that: L = 4W [the length of a rectangle is four times its width]
Perimeter = 2L + 2W
We learn that P ≤ 130 cm
2L + 2W ≤ 130 cm
Substitute L = 4W:
2L + 2W ≤ 130 cm
2(4W) + 2W ≤ 130 cm
10W ≤ 130 cm
W ≤ 13 cm
Options:
2w + 2 • (4w) < 130 Not correct since the < sign does not allow for the "at most 130 cm.")
2w + 2 • (4w) > 130 Must be ≤, not >
2w + 2 • (4w) ≤ 130 This option works since the ≤ sign is correct.
can someone show work for these answers here.I will give extra points if you answer
Answer:
Step-by-step explanation:
1. 3n+4n=28
7n=28
n=4
2. 2x+7-9=10
2x=10+2
2x=12
x=6
3. 3(a+2)=-5
3a+6=-5
3a=-11
a= -11/3
4. 2(3n-1)=19
6n-2=19
6n=21
n=7/2
5. 3x-5-x+1=10
2x=14
x=7
6. -3-5=5-2a+7
2a=20
a=10
7. -5(n-2)= -15
n-2=3
n=5
8. Let the cost of each fan be y.
6y+3y=1188
9y=132
∴ The cost of each fan is $132.
What is 5261.436 rounded to the nearest thousand?
Answer:
5261.436 would be the answer
Find the quotient. 2x - 3 over x divided by 7 over x^2
The quotient include the following: D. \(\frac{x(2x-3)}{7}\)
What is a quotient?In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).
Based on the information provided above, we can logically deduce the following mathematical expression;
\(\frac{2x-3}{x} \div \frac{7}{x^2}\)
By rearranging the mathematical expression using the multiplication operation, we have:
\(\frac{2x-3}{x} \times \frac{x^{2} }{7}\\\\2x-3 \times \frac{x }{7}\\\\\frac{x(2x-3)}{7}\)
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