Answers
The best interpretation of the y-intercept of the linear function is given as follows:
D. The model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.The variables for this problem are given as follows:
x is the number of years since 2000.y is the cost of renting.Hence option D gives the correct interpretation of the intercept of the line.
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Related Questions
Given the linear function f(x) = −4x + 8, what is the value of x if f(x) = 24?
x = 104
x = −4
x = −8
x = −88
Answers
Answer:
The value of x = -4
Step-by-step explanation:
The given linear function is f(x) = -4x+8
We have to find the x corresponding to f(x) = 24
For our convenience, let f(x) = y
Then y = -4x + 8
This equation implies y in terms of x.
Isolating x to one side of the equation, we get,
x = (y - 8)/-4 = (8-y)/4
This equation gives x in terms of y.
So when f(x) = y = 24,
x = (8-24)/4
⇒ x = -4
What would the missing length be?
Answers
Answer:
B
Step-by-step explanation:
step by step you will learn
How many times 9 goes into 22
Answers
Explanation:
22 divided 9 equals 2.44
why the nature of the roots depend on the value of the discriminant
Answers
The value of a discriminant determines the kind of roots in a quadratic equation, and the sign of a discriminant indicates whether the roots were real or complex, unique or recurring.
What does a math quadratic equation mean?Definitions: x ax2 + bx + c = 0 is a quadratic equation, which is a 2nd quadratic formula in a single variable. a 0. It has at most one solution since it is a 2nd quadratic problem, which is guaranteed by the algebraic basic theorem. The solution could be straightforward or difficult.
How do you determine whether an equation is quadratic?To put it another way, if a twice the square of a expression that comes after b plus b times the same expression never squared plus c equals 0.
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The measures of the angles of a triangle are in the ratio 1:9:26. What is the measure of each angle?
Answers
The angles of the triangle will be 5 °, 45 °, and 130 °.
How do triangles function?The triangle is a two-dimensional geometric object with three straight sides and three angles. The lengths of the triangle's three sides can differ from the third side (isosceles triangle), be equal (equilateral triangle), or be any combination of the three (scalene triangle).
The sum of the angles in a triangle is always 180 degrees; the opposite angle of the longest side is the largest, and the opposite angle of the shortest side is the smallest.
Now,
Let x be the common factor that multiplies the ratio of 1:9:26. Then, the measures of the angles can be expressed as x, 9x, and 26x.
Since the sum of the angles in a triangle is always 180 degrees, we can set up an equation:
x + 9x + 26x = 180°
Simplifying the equation, we get:
36x = 180
Dividing both sides by 36, we get:
x = 5
Therefore, the measures of the angles are:
x = 5 degrees (the smallest angle)
9x = 45 degrees
26x = 130 degrees (the largest angle)
So the angles of the triangle are 5 degrees, 45 degrees, and 130 degrees.
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In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use by the household. (No two respondents were from the same household.) Among the respondents, 214 answered "none," 280 said "one," 373 said "two," 153 said "three," and 53 responded with four or more. A survey respondent is selected at random. Find the probability that his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in use? Consider an event to be unlikely if its probability is less than or equal to 0.05.
Question content area bottom
Part 1
P(four or more cell phones)= enter your response here
(Round to three decimal places as needed.)
Answers
Based on the information, it can be inferred that the probability that a person has four or more cell phones in their home is 0.0494
How to find the probability that a person has four or more cell phones in their home?To find the probability that a person has four or more cell phones in their home, we must carry out the following mathematical procedure.
We must find the total number of people surveyed and the percentage that each group represents:
214 + 280 + 373 + 153 + 53 = 1,0731,073 = 100%214 = ?214 * 100% / 1,073 = 19.94%1,073 = 100%280 = %?280 * 100 / 1,073 = 26.09%1,073 = 100%373 = %?373 * 100 / 1,073 = 34.76%1,073 = 100%153 = %?153 * 100 / 1,073 = 14.25%1,073 = 100%53 = %?53 * 100 / 1,073 = 4.93%Now we must establish the probability. For this we must carry out the following mathematical procedure:
100% = 14.94% = ?4.94 * 1 / 100 = 0.0494According to the above, the probability that someone answers that four or more cell phones are used in her house is 0.0494.
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Suppose the same amount of snow fell the following winter, but the same amount of snow fell each week. How much snow fell each week if there were the same number of weeks?
(Type a whole number, fraction, or mixed number.)
Answers
The amount of snow that fell each week was 2 units (assuming the units are consistent with the original scenario.
Describe Snowfall measurement?Snowfall measurement is the process of determining the amount of snow that falls at a particular location during a specific period of time. Accurate snowfall measurement is important for a variety of reasons, including transportation safety, weather forecasting, and water resource management.
If the same amount of snow fell the following winter, but the same amount of snow fell each week, and there were the same number of weeks, then we need to divide the total amount of snow by the number of weeks to find the amount of snow that fell each week.
Looking at the diagram, we can estimate the total amount of snow that fell by counting the number of asterisks (*) in the diagram. There are 8 asterisks, which represent the total amount of snow that fell over the winter.
Since there are 4 weeks (the same number of weeks as the original scenario), we can divide the total amount of snow by 4 to find the amount of snow that fell each week:
Total amount of snow = 8 asterisks
Amount of snow that fell each week = Total amount of snow / Number of weeks
= 8 / 4
= 2
Therefore, the amount of snow that fell each week was 2 units (assuming the units are consistent with the original scenario).
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You choose to invest $600 a year in a 401k which invests in an international stock mutual fund. Assuming an annual rate of turn of 9 percent, how much will this fund worth if retiring in 40 years?
Answers
By using the future value of a series formula, you can calculate the future value of your investment. In this case, if you invest $600 annually in a 401k mutual fund with a 9% annual return, you will have approximately $132,204.02 after 40 years.
Explanation:To solve this problem, we can use the future value of a series formula (also known as an annuity), which is common in business finance. The formula is:
FV = P * [((1 + r)^n - 1) / r]
Where:
FV is the future value of the money you have invested.
P is the annual investment (in this case, $600).
r is the annual rate of return (which is 9% or 0.09 as a decimal).
n is the number of years the money is invested (which is 40 in this scenario).
Applying these numbers to the formula we get:
FV = 600 * [((1 + 0.09)^40 - 1) / 0.09]
After performing the calculations, the future value (which is the amount of money you'll have at the end of 40 years) comes out to be approximately $132,204.02. Thus, if you invest $600 annually in a 401k which invests in an international stock mutual fund with a 9% annual rate of return, you will have $132,204.02 in the fund when retiring in 40 years.
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HELP ASAP PLEASE, I WILL MARK ANSWER BRAINLIEST IF CORRECT!!!.
Triangle ABC with vertices at A(3, 2), B(2, −1), C(−2, 1) is dilated using a scale factor of 1.5 to create triangle A′B′C′. Determine the vertex of point A′.
A′(−4.5, 2)
A′(3, 3)
A′(4.5, 2)
A′(4.5, 3)
Answers
The coordinates of point A′ are (4.5, 3), the answer is A′(4.5, 3).
What is triangle ?
A triangle is a polygon with three sides and three angles. It is a two-dimensional figure that is formed by connecting three non-collinear points. The sum of the angles in a triangle is always 180 degrees, and the side opposite to the largest angle is the longest side of the triangle, while the side opposite to the smallest angle is the shortest side.
According to given information :In this problem, we are given a triangle ABC with vertices at A(3, 2), B(2, −1), C(−2, 1), and we are asked to dilate it using a scale factor of 1.5 to create triangle A′B′C′.
Dilation is a transformation that changes the size of a figure but not its shape. To dilate a figure, we multiply the coordinates of each point by a scale factor. In this case, we are given a scale factor of 1.5, so we will multiply each coordinate of triangle ABC by 1.5 to get the coordinates of triangle A′B′C′.
To find the vertex of point A′, we need to apply the dilation to the coordinates of point A(3, 2). Multiplying the x-coordinate by 1.5, we get 1.5 × 3 = 4.5. Multiplying the y-coordinate by 1.5, we get 1.5 × 2 = 3.
Therefore, the coordinates of point A′ are (4.5, 3), the answer is A′(4.5, 3).
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Mario walked at a rate of 2/3 mile every 10
minutes.
Answers
Using displacement, His unit rate every mile per hour will be 4 miles/hours.
What is displacement?When a body shifts from one position to another, displacement is the smallest (straight line) distance between the starting position and the ending position of the body, which is symbolized by an arrow pointing from the starting position to the ending position. Displacement is a vector quantity that describes "how far out of place an object is"; it represents the overall change in the position of the object.
Mario walked at a rate of 2/3 mile every 10 minutes.
We have,
Distance = 2/3 miles
Time = 10 minutes
On substituting these values in the above formula, we get
speed = 2/10.3
We have to find the unit rate in mile per hour, so we need to multiply it by 60, 1/15 × 60 = 4 miles/hours
Hence, his unit rate every mile per hour will be 4 miles/hours.
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The average American worker makes about 4x10^4 dollars yearly. The average professional basketball player makes about 6x10^6 dollars yearly. How many times greater is the average professional basketball player's salary than the average American worker's salary? {(WILL GIVE BRAINLIEST)}
Answers
Answer:150 times
Step-by-step explanation:
The average professional basketball player's salary is 6x10^6 dollars yearly, while the average American worker's salary is 4x10^4 dollars yearly.
To find how many times greater the average professional basketball player's salary is, we can divide the basketball player's salary by the worker's salary:
6x10^6 / 4x10^4 = (6/4)x10^(6-4) = 1.5x10^2 = 150
Therefore, the average professional basketball player's salary is 150 times greater than the average American worker's salary.
Make P The Subject Of This Formula:: N= P-2t/15
Answers
Answer: P = 15N - 2t
Step-by-step explanation:
To find "P", we get rid of the last thing done to the subject (P).
Here it is "/15"
So we get rid of it by doing the opposite, remember, we do this to both sides.
Step 1:
N = P - 2t/ 15
x15 ↓ ↓ ×15
15N = P - 2t
Step 2:
Now, the last thing done to the "P" is "-2t". So we get rid of it by adding 2t to both sides.
15N = P - 2t
+2t ↓ ↓ +2t
15N + 2t = P
So, we got P by its own, so we have made P the subject of the formula!
In summary, you would write the steps like this, to answer the question:N = P - 2t/ 15
x15 ↓ ↓ ×15
15N = P - 2t
+2t ↓ ↓ +2t
15N + 2t = P
P = 15N - 2t
Make my answer the brainliest!Review the graph of function g(x). On a coordinate plane, a curve starts at closed circle (4, negative 4), curves up to (3, negative 3), and curves down to (negative 1, negative 8), and then curves up through (negative 3, 4). A curve starts at open circle (4, 2) and curves up through (8, 5). What are Limit of g (x) as x approaches 4 negative and Limit of g (x) as x approaches 4 plus, if they exist? Limit of g (x) = 2 as x approaches 4 negative and limit of g (x) = negative 4 as x approaches 4 plus Limit of g (x) = negative 4 as x approaches 4 negative and limit of g (x) = negative 2 as x approaches 4 plus Limit of g (x) = negative 4 as x approaches 4 negative and limit of g (x) D N E as x approaches 4 plus Limit of g (x) D N E as x approaches 4 negative and limit of g (x) = negative 4 as x approaches 4 plus
Answers
The lateral limits of the function g(x) at x = 4 are given as follows:
[tex]\lim_{x \rightarrow 4^-} g(x) = -4, \lim_{x \rightarrow 4^+} g(x) = 2[/tex]
How to calculate the lateral limits?
To obtain lateral limits, we need to take the limit of a function as it approaches a point from the left-hand side and the right-hand side separately.
If the two limits are equal, then this is the limit of the function, while if the lateral limits are different, then the limit of the function does not exist for the value of x.
On a coordinate plane, a curve starts at closed circle (4, negative 4), curves up to (3, negative 3), and curves down to (negative 1, negative 8), and then curves up through (negative 3, 4), hence the lateral limit to the left of x = 4, where x is less than 4, is given as follows:
[tex]\lim_{x \rightarrow 4^-} g(x) = -4[/tex]
A curve starts at open circle (4, 2) and curves up through (8, 5), hence the lateral limit to the right of x = 4, where x is greater than 4, is given as follows:
[tex]\lim_{x \rightarrow 4^+} g(x) = 2[/tex]
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The fencing of the left border costs $8 per foot, while the fencing of the lower border costs $2 per foot. (No fencing is required along the river.) You want to spend $320 and enclose as much area as possible. What are the dimensions of your garden, and what area does it enclose?
Answers
The dimensions of the garden are 20 feet by 80 feet, and the area enclosed is 1600 square feet.
How is optimization employed in mathematics?
The process of selecting the optimal answer from a range of alternatives is known as optimization. In mathematics, optimization is employed to determine a function's maximum or least value. Typically, an optimization issue entails the optimization of a function under a set of restrictions.
Let's assume that the length of the left border is x feet.
The length of the lower border is y feet.
From the given situation the equation is:
8x + 2y = 320
To maximize the area of the garden, we maximize the product xy.
2y = 320 - 8x
y = 160 - 4x
Substituting this expression for y into the expression for the area, we get:
A = xy = x(160 - 4x) = 160x - 4x²
To find the value of x that maximizes the area, we can take the derivative of A with respect to x and set it equal to zero:
dA/dx = 160 - 8x = 0
x = 20
Substituting x = 20 back into the expression for y, we get:
y = 160 - 4x = 80
Therefore, the dimensions of the garden are 20 feet by 80 feet, and the area enclosed is: A = xy = (20)(80) = 1600 feet².
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Determine whether the study is an experiment or an observational study, and then identify a major problem with the study.
In a survey, 1465 Internet users chose to respond to this question posted on a newspaper's electronic edition: "Is news online as satisfying as print and TV news?" 52% of the respondents said "yes."
Question content area bottom
Part 1
This is an
▼
experiment
observational study
because the researchers
▼
do not attempt to modify
apply a treatment to
the individuals.
Part 2
What is a major problem with the study?
A.
This is a convenience sample with voluntary response, which has a high chance of leading to bias.
B.
There is no blinding or replication, which has a high chance of leading to bias.
C.
The sample is not very large.
D.
The results apply only to Internet users
Answers
The study is classified as an observational study, and the problem is given as follows:
A.
This is a convenience sample with voluntary response, which has a high chance of leading to bias.
What are experiments and observational studies?Experiments are studies in which there are two groups, with different features, and then the effect of a feature is studied.
For an observational study, there are no changes, just a question is asked, as is the case for this problem.
Convenience samples lead to bias as many people that share characteristics can answer.
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Write the equation of a rational function that has been translated left 2 units and shifted up 1 unit.
Answers
The equation of a rational function that has been translated left 2 units and shifted up 1 unit is: f(x) = (a(x - 2) + b + 1) / (c(x - 2) + d)
What is a function?A relation is a function if it has only One y-value for each x-value.
A general form of a rational function is:
f(x) = (ax + b) / (cx + d)
To translate this function left 2 units, we need to replace x with x + 2. This gives us:
f(x + 2) = (a(x + 2) + b) / (c(x + 2) + d)
To shift this function up 1 unit, we need to add 1 to the numerator. This gives us:
f(x + 2) = (a(x + 2) + b + 1) / (c(x + 2) + d)
Therefore, the equation of a rational function that has been translated left 2 units and shifted up 1 unit is: f(x) = (a(x - 2) + b + 1) / (c(x - 2) + d)
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Necesito estas respuestas
Answers
The scale factor for the given transformation is -
{k} = 2/3.
What is scale factor in mathematics?A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.
Given is a figure {Q} that is a transformation of figure {P}.
The base length of the figure {P} is 15 cm. The base length for figure {Q} is 10 cm. So, we can write the scale factor as -
{K} = 10/15
{K} = 2/3
Therefore, the scale factor for the given transformation is -
{k} = 2/3.
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algebra l
Find an exponential model that is a reasonable fit for the data.
The exponential model that is a reasonable fit for the data is f(x)=
Answers
The optimal strategy would be to fit several models to the data using equation mathematical software or tools, and then assess the goodness of fit using statistical metrics like R-squared or Mean Squared Error.
What is equation?In a mathematical equation, the equals sign (=), which connects two claims and denotes equality, is utilised. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a space. Mathematical expressions can be used to describe the relationship between the two sentences on either side of a letter. The logo and the particular piece of software frequently correspond. like, for instance, 2x - 4 = 2.
The following exponential model could be a good fit for the data in the image:
[tex]f(x) = 7.5 * e^(0.1x) (0.1x)[/tex]
The data is assumed to develop exponentially with a base of e in this model, with a growth rate of 10% for each unit increase in x.
It is crucial to remember that this is only one potential model and that other exponential models with other parameters could also be able to satisfactorily match the data. The optimal strategy would be to fit several models to the data using mathematical software or tools, and then assess the goodness of fit using statistical metrics like R-squared or Mean Squared Error.
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Find the H.C.F by division method a) 30,45,60
Answers
The H.C.F. of 30, 45, and 60 using the division method is 30.
What is the HCF of the numbers?To find the H.C.F. (Highest Common Factor) of the given numbers using division method, we can follow these steps:
Step 1: Divide the larger number by the smaller number and find the remainder.Step 2: Now, divide the smaller number obtained in the previous step by the remainder.Step 3: Continue this process of dividing the previous divisor by the remainder until the remainder becomes zero.Step 4: The last divisor obtained in the above process is the H.C.F. of the given numbers.Let's apply this method to find the H.C.F. of 30, 45, and 60.
Step 1: We start by dividing the larger number, 60, by the smaller number, 30.
60 ÷ 30 = 2 with a remainder of 0
Step 2: Now, we divide the smaller number, 30, by the remainder, which is 0.
30 ÷ 0 = undefined
Since the remainder is zero, we stop the process here. The last divisor we obtained is 30. Therefore, the H.C.F. of 30, 45, and 60 is 30.
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1. Is A'B'C'D' a translation, rotation, or reflection of ABCD? Explain how you can tell. (2 points)
2. Is A"B"C"D" a translation, rotation, or reflection of A'B'C'D'? Explain. (2 points)
3. Suppose the measure of ∠B is 89°. Which other angles must measure 89°? How do you know? (3 points)
4. What is the perimeter of A"B"C"D"? Explain how you found the perimeter. (3 points)
Answers
Answer:
Step-by-step explanation: OK so is A'B'C'D' a translation, rotation, or reflection of ABCD? OK so A'B'C'D' is a rotation i believe because like you i'm on the same thing. Is A"B"C"D" a translation, rotation, or reflection of A'B'C'D'? OK so A"B"C"D" is a reflection i believe i'm not really sure on that one. Suppose the measure of angle B is 89°. Which other angle must be 89°? OK so angle A, angle C, and angle B. But I really don't get what you trying to ask? Hope I kind of helped, like i said im in 8th grade and it is kind of hard for me too.
Alison saved 15% on the cost of her computer software, which was $355. How much did Alison save?
Answers
Answer:
$53.25
Step-by-step explanation:
$[tex]\frac{355}{100}= 1[/tex]%
$[tex]15\frac{355}{100} = 15[/tex]%[tex]= 53.25[/tex]$
Answer:
53.25
Step-by-step explanation:
Help I’ve been struggling with math for a while, and I really need help on this. Please help.
Answers
what is the length of ab
Answers
Answer:
Step-by-step explanation:
[tex]6x-10=2x+18[/tex] (opposite sides of parallelogram are equal)
[tex]4x-10=18[/tex] (subtracted [tex]2x[/tex] from both sides)
[tex]4x=28[/tex] (added 10 to both sides)
[tex]x=7[/tex] (divided both sides by 4)
Substitute [tex]x=7[/tex] to find length AB:
[tex]AB=6x-10[/tex]
[tex]=6[/tex]×[tex]7-10[/tex]
[tex]=32[/tex]
the dot plot shows the number of wins for 16 baseball teams which statement about the data is true
Answers
Based on the dot plot, it appears that the data is spread relatively evenly across the teams, with no one team dominating the others by a wide margin.
What is data in math?Data is the raw information that can be collected and analyzed to provide insights. It is the foundation of decision-making and can be used to identify trends, patterns, and relationships. Data can come from many different sources, including surveys, databases, and software applications. Data can be qualitative or quantitative, static or dynamic, structured or unstructured, and can be used to inform decisions, inform policy, and inform research. Data can also be used to make predictions, monitor performance, and improve efficiency.
This suggests that the competition between the teams is relatively balanced, and that no team is significantly outperforming the others in terms of number of wins. This could indicate that the teams are of about equal skill level, or that the schedule for each team is balanced enough that no team has an advantage over the others.
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The length of a rectangular poster is 8 more inches than two times its width. The area of the poster is 42 square inches. Solve for the dimensions (length and width) of the poster.
Answers
The dimensions of the poster are approximately 10.64 inches by 1.15 inches.
What are dimensions of an objects?
Dimension is the length or width of an area, region, or space in one direction. It is just the measurement of an object's length, breadth, and height.
According to the problem, the length of the poster is 8 more inches than two times the width, which can be expressed as:
length = 2x + 8
The area of the poster is given as 42 square inches, so we can set up the equation:
area = length * width
Substituting the expressions for length and width, we get:
42 = (2x + 8) * x
Expanding the right side, we get:
[tex]42 = 2x^2 + 8x[/tex]
Moving all terms to one side, we get:
[tex]2x^2 + 8x - 42 = 0[/tex]
Dividing both sides by 2, we get:
[tex]x^2 + 4x - 21 = 0[/tex]
We can solve for x using the quadratic formula:
x = (-4 ± √(4² - 41(-21))) / (2*1)
x = (-4 ± √88) / 2
x = (-4 ± 2√22) / 2
x = -2 ± √22
Since the width of the poster cannot be negative, we take the positive solution:
x = -2 + √22
Using this value, we can find the length of the poster:
length = 2x + 8 = 2(-2 + √22) + 8 = 2√22 + 4
Therefore, the length of the poster is approximately 10.64 inches (rounded to two decimal places).
Thus, the dimensions of the poster are approximately 10.64 inches by 1.15 inches.
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each year the population of algeland increases by 33% the population is currently 5,476,223. What will the population be 16 years from now
Answers
The required population of Algeland 16 years from now will be approximately 524937236.
What is Percentage?In essence, percentages are fractions with a 100 as the remainder. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on an examination (75/100).
According to question:To find the population of Algeland after 16 years, we can use the formula:
[tex]$P = P_0 \times (1 + r)^n$[/tex]
where P is the population after 16 years, [tex]$P_0$[/tex]is the initial population, r is the annual growth rate, and n is the number of years.
Given that the population of Algeland increases by 33% each year, we can express the annual growth rater as:
[tex]$r = 33% = 0.33$[/tex]% = 0.33
We are also given that the current population [tex]$P_0$[/tex] is 5,476,223.
Thus, the population of Algeland after 16 years can be calculated as:
[tex]$P = 5,476,223 \times (1 + 0.33)^{16}$[/tex]
Simplifying this expression, we get:
P = 524937236
Therefore, the population of Algeland 16 years from now will be approximately 524937236.
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Identify the relationship between the angles
Answers
Answer:
∠x and ∠y are congruent or equal
Step-by-step explanation:
∠x and ∠y are congruent or equal because their vertical angles are alternate interior angles.
OR vertical angle of ∠x is congruent with ∠y because they are both corresponding angles
OR vertical angle of ∠y is congruent with ∠x because they are both corresponding angles
Please help with this math question!
Answers
The solution is, the expression is -3+0i, so, a = -3 & b = 0.
What is complex number?In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation {\displaystyle i^{2}=-1}; every complex number can be expressed in the form a + bi, where a and b are real numbers.
here, we have,
So we have:
given that,
(2+6i) - (5+6i)
First, distribute:
2+6i - 5 -6i
Combine like terms:
2 - 5 + 6i - 6i
Add:
-3 + 0
So, in the a+bi format, we will have:
-3 + 0i
Hence, The solution is, the expression is -3+0i, so, a = -3 & b = 0.
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Bob ran 4/5 of a mile his sister ran one-half of a mile how much further did Bob run than his sister
Answers
30% or 3/10
Bob is 4/5
His sister is 1/2
convert to percents so 80% and 50%
he ran 30% more of a mile (3/10)
10. Jordan went to Europe for vacation. He spent of his time in Spain.
If he was in Spain for 14 days, how long was he in Europe?
Let v represent the number of days he was in Europe.
A v = 14
3
B (14) = v
C v ÷ 14 = ²
Answers
The number of days that he was in Europe will be 42 days.
How to calculate the days spent in SpainA fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Since Jordan went to Europe for vacation. He spent 1/3 of his time in Spain.
If he was in Spain for 14 days, the number of days that he was in Europe will be:
1/3 × x = 14
x = (14 × 3)
x = 42 days
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Jordan went to Europe for vacation. He spent 1/3 of his time in Spain. If he was in Spain for 14 days, how long was he in Europe?
