How do I find the equation to graph housing inflation over time if the inflation rate is 2.37% a year and the current cost of the house is 224200 Thank you
Answers
To calculate inflation, the following equation is given
[tex]i=(\frac{p_2}{p_1})^{1/n}-1[/tex]where i represents the inflation rate(in decimals), p1 the starting value of the house, p2 the value of the house after a amount of n years.
If we use this equation for a house with a current cost of $224,200 and an inflation of 2.37%, we're going to have
[tex]0.0237=(\frac{p_2}{224200})^{1/n}-1[/tex]To calculate the how much the house will be worth in 2 years, we substitute n for 2 and solve for p2.
[tex]\begin{gathered} 0.0237=(\frac{p_2}{224200})^{1/2}-1 \\ 1.0237=(\frac{p_2}{224200})^{1/2} \\ 1.0237^2=(\frac{p_2}{224200}) \\ p_2=1.0237^2\cdot224200 \\ p_2=234953.010898 \\ p_2\approx234953.01 \end{gathered}[/tex]Related Questions
writing equations translate each sentence into an equation photo of the question
Answers
Answers: Equation: 52 = 7x
Octaves: x = 7.43
Explanation:
Let's call x the number of octaves in a piano
Then, every octave has 7 white keys. It means that the number of keys in a piano can be calculated as 7 times x or 7 times the number of octaves:
Number of keys = 7x
Then, the number of keys, in this case, is equal to 52, so we can replace the number of keys by 52 and get:
52 = 7x
Now, we can solve for x, dividing both sides by 7 as:
52/7 = 7x/7
7.43 = x
Therefore, the piano has 7.43 octaves
Ross had an annual earned income of $48,000 last year. He also had a passive income of $3,500, and capital gains of $4,000. What was Ross' total gross income for the year?
Answers
Total gross income = $55,500
Explanations:Annual earned income = $48,000
Passive income = $3500
Capital gains = $4000
Total gross income = Annual earned income + Passive income + Capital gains
Total gross income = $48000 + $3500 + $4000
Total gross income = $55,500
What are the roots of the equation xv2+6x+11=0 are--
real, irrational, and unequal
real, rational, and equal
imaginary
real, rational, and unequal
Answers
The determinant of the quadratic equation is negative, we conclude that both solutions are imaginary.
What are the solutions of the equation?For a quadratic equation:
a*x^2 + b*x + c = 0
The determinant is:
D = b^2 - 4ac
And:
If D = 0, we have one real solution.If D > 0 we have two real solutions.if D < 0 we have two complex solutions.Here the quadratic is:
x^2 + 6x + 11 = 0
So the determinant is:
D = 6^2 - 4*11*1 = 36 - 44 = -8
So we have two imaginary solutions, then the correct option is the third one.
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The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.939 g and a
standard deviation of 0.307 g. Find the probability of randomly selecting a cigarette with 0.417 g of nicotine
or less.
P(X < 0.417 g) =
Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or
Z-scores rounded to 3 decimal places are accepted.
Answers
Using the formula to find the Z-score of the distribu,
[tex]\begin{gathered} Z=\frac{x-\mu}{\sigma} \\ \text{where x = 0.417g} \\ \mu=0.939g \\ \sigma=0.307g \\ \text{Substituting all these given data in the formula, we have;} \\ Z=\frac{0.417-0.939}{0.307} \\ Z=\frac{-0.522}{0.307} \\ Z=-1.7003 \\ Z=-1.700 \end{gathered}[/tex]The probability of selecting 0.417g of nicotine or less will therefore be;
[tex]\begin{gathered} P(x\leq Z)=P(x\leq-1.7) \\ \text{From Z-score table, P(x}\leq-1.7)\text{ = 0.044565} \\ P(x\leq Z)=0.0446 \end{gathered}[/tex]Therefore, the probability of selecting 0.417g of nicotine or less to 4 decimal places is 0.0446
Given g(x)=(x+3)/4, find g^{-1}(x). If necessary, indicate any domain restrictions.Prove that it is the inverse through composition.
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Given the function g(x):
[tex]g(x)=\frac{x+3}{4}[/tex]First, we determine the inverse of g(x)
[tex]\begin{gathered} 4g(x)=x+3\implies4y=x+3 \\ x=4y-3 \\ \text{Therefore:} \\ g^{-1}(x)=4x-3 \end{gathered}[/tex]Next, to verify if they are inverses by composition, we check if the following holds:
[tex]g(g^{-1}(x))=g^{-1}(g(x))=x[/tex]This is done below:
[tex]\begin{gathered} g(g^{-1}(x))=\frac{\lbrack4x-3\rbrack+3}{4}=\frac{4x}{4}=x \\ g^{-1}(g(x))=4\lbrack\frac{x+3}{4}\rbrack-3=x+3-3=x \end{gathered}[/tex]Therefore, we have shown that they are inverses by composition.
our survey found that 56% of college students live on campus, 62% have a campus meal program, and 42% do both. while dining in a campus facility open only to students with meal plans, you meet someone interesting. what is the probability that your new acquaintance lives on campus?
Answers
our survey found that 56% of college students live on campus, 62% have a campus meal program, and 42% do both. while dining in a campus facility open only to students with meal plans, you meet someone interesting. The percent of people, who either lives or eats on campus is 34 %
In mathematics, sets are collections of discrete things that can be grouped together. A collection of items in a set includes a collection of numbers, days of the week, different kinds of cars, etc.
Let the total number of people be 100.
Let set A be people who live in campus = 56
Let set B be people who participate in meal = 62
Let set be people who do both = 42
According to set theory,
(A∪B) = A+ B - (A∩B)
= 56 + 62 - 42
= 76
Then either lives or eats is given by,
= (A∪B) - (A∩B)
= 76 - 42
= 34
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60° 600 16 inches An equilateral triangle is folded in half. What is x, the height of the equilateral triangle? 8V3 in 16 in 16V3 in 8 in
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Given the right angles triangle derived from dividing a trainmgle into half, the base value will be;
b = 16/2 = 8 inches
Height = x
the right base an =
Help
Need help ASAP !!!!
Answers
Answer:
Step-by-step explanation:
6 by 3 the third choice
Suppose you want to figure out how likely it would be to spin red and flip tails. We call red and tails the event.
Answers
Answer with Explanation: We need to find the probability of obtaining the red and tails when the two are flipped at the same time:
[tex]\begin{gathered} P\left(R\right)=\frac{1}{2} \\ P\left(T\right)=\frac{1}{2} \end{gathered}[/tex]The probability of the red and tails or P(Red and Tails) is as follows:
[tex]\begin{gathered} P\left(R\text{ and }T\right?=P\left(R\right)\times P\left(T\right) \\ \therefore\rightarrow \\ P\left(R\text{ and }T\right?=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4} \\ P\left(R\text{ and }T\right?=\frac{1}{4} \end{gathered}[/tex]Conclusion: Therefore the probability is (1/4) or 25%.
Find the area of the parallelogram 60ft, 26ft, 20ftA.600ftB.1,500ftC.520 ftD. 1,200ft
Answers
Answer:
1,200 ft^2
Explanation:
The area of a parallelogram with height h and base length b is given by
[tex]Area=bh[/tex]Now, in our case b = 60 ft and h = 20 ft; therefore,
[tex]\text{Area}=60ft\cdot20ft[/tex][tex]\boxed{\text{Area}=1200ft^2}[/tex]which is our answer!
This diagram shows the plan for a wooden deck. The scale dimensions of the deck are shown. 4 in. 3 in. 3 in. 2 in. If the scale used in the diagram is ā in. = 1ft, what is the perimeter of the actual deck? a 3 ft 36 ft 12 ft d 48 ft
Answers
Given the diagram for a wooden deck
The scale used is :
[tex]\frac{1}{4}in=1ft[/tex]Convert the given dimension to the actual dimensions
so,
[tex]\begin{gathered} \frac{1}{4}in\colon1ft=\text{given:actual} \\ \text{Actual}=4\cdot\text{given} \end{gathered}[/tex]So, the actual dimensions are : 16 ft , 12 ft , 8 ft , 12 ft
So, the perimeter will be :
[tex]16+12+8+12=48ft[/tex]So, the answer is option d. 48 ft
which property is demonstrated in the equation (4*7)*10=4*(7*10)
Answers
The answer is associative property
this allows us to rearrange the grouping or grouping symbols and not the order of operation.
an eaxample is
[tex]x+(y+z)=(x+y)+z[/tex]Select the student who reads the fastest (greatest number of words per minute)
Answers
need the answer no is able to give me the right answer
Answers
Given:
The window is divided into a semi-circle and a rectangle.
The radius of the semi-circle is 2' 9''.
The length of the rectangle is 5; 6''.
The cost of put molding for the curved portion is $10.82 per foot.
The cost of put molding for the straight portion is $ 2.81 per foot.
Required:
We need to find the cost to put molding for the window.
Explanation:
Convert inches to feet.
[tex]We\text{ know that 1 foot =12 inches.}[/tex]Divide 9 inches by 12 to convert inches to feet.
[tex]9\text{ inches=}\frac{9}{12}feet=\frac{3}{4}feet.[/tex][tex]2^{\prime}9^{\prime}^{\prime}=2+\frac{3}{4}=\frac{8+3}{4}=\frac{11}{4}feet.[/tex][tex]The\text{ radius of the semi-circle, r =}\frac{11}{4}feet.[/tex]Divide 6 inches by 12 to convert inches to feet.
[tex]6\text{ inches=}\frac{6}{12}feet=\frac{1}{2}feet.[/tex][tex]The\text{ length of the rectangle is, }l=5+\frac{1}{2}feet=\frac{11}{2}feet[/tex]The width of the rectangle is the same as the diameter of the semi-circle.
[tex]d=2r=2\times\frac{11}{4}=\frac{11}{2}feet.[/tex][tex]The\text{ width of the rectangle is, w=}\frac{11}{2}feet.[/tex]Consider the arc length of the semi-circle formula.
[tex]S=\pi r[/tex][tex]\text{ Substitute }r=\frac{11}{4}\text{ and }\pi=3.14\text{ in the formula.}[/tex][tex]S=3.14\times\frac{11}{4}[/tex][tex]S=8.635feet.[/tex]Multiply the arc length by $10.82 to find the cost of put molding for the curved portion.
[tex]The\text{ cost of the curved portion=8.635}\times10.82[/tex][tex]The\text{ cost of the curved portion=\$ 93.4307.}[/tex]The perimeter of the straight portion is the sum of the three sides of the rectangle.
[tex]P=l+w+l[/tex][tex]Substitute\text{ }l=\frac{11}{2\text{ }}feet\text{ and }w=\frac{11}{2}feet\text{ in the formula.}[/tex][tex]P=\frac{11}{2}+\frac{11}{2}+\frac{11}{2}[/tex][tex]P=16.5[/tex]Multiply the perimeter by $2.81 to find the cost of put molding for the straight portion.
[tex]The\text{ cost of the straight portion}=16.5\times2.81[/tex][tex]The\text{ cost of the straight portion}=46.365[/tex]The cost to put molding around the window is the sum of the cost of the curved portion and straight portion.
[tex]The\text{ cost to put molding around the window}=\text{ \$93.4307+ \$}46.365[/tex][tex]The\text{ cost to put molding around the window}=\text{ \$139.7957}[/tex][tex]The\text{ cost to put molding around the window}=\text{ \$139.80}[/tex]Final answer:
[tex]The\text{ cost to put molding around the window}=\text{ \$139.80}[/tex]Question 2 of 10Watermelons are on sale for $3 each, but customers can buy no more than 4at this price.For watermelons bought at the sale price, the total cost, y, is directlyproportional to the number bought, x. This function can be modeled by y = 3x.What is the domain of the function in this situation?OA. (0, 1, 2, 3, 4)O B. (0, 3, 6, 9, 12)OC. All positive numbers, x > 0OD. (0, 1, 2, 3,...)
Answers
The domain is the set of all possible x values.
Given x can assume the values of 0, 1, 2, 3, and 4 (no more than 4 melon can be bougth).
D = (0, 1, 2, 3, 4).
Answer: D = (0, 1, 2, 3, 4).
Mr.brown asked his students to create a representation with a rate of change of 2.5. Circle the students who correctly completed the task. Options: Elijah- y=2.5+x Zane- Four boxes of tissue cost $10. Marco- y=2.5x
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The student that correctly completed the task of Mr Brown is the student that gave the option as follows : Four boxes of tissue cost $10
What is rate of change?Rate of change refers to the ratio which shows how a certain item changes over the another item.
In the question, Mr brown requested for a rate of change that is equal to 2.5. Zane gave an option that suits this by showing the example as explained mathematically
If Four boxes of tissue cost $10 then 1 will cost
4 boxes = $10
1 box = ?
cross multiply gives
? * 4 = 10 * 1
dividing through by 4 gives
? = 10 / 4
? = 2.5
Hence the rate at which the price of the boxes change is 2.5
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The rate representation when Mr.brown asked his students to create a representation is Marco - y = 2.5x.
Which of the students correctly completed the task?
Given that: Four boxes of tissue cost $10. The rate is the price of one tissue. To get the rate, we need to divide the cost by the number of tissue:
rate = 10 / 4 = 2.5
Let y and x represent the cost and number of tissue respectively. Since the rate is 2.5, that means x number of tissue will cost 2.5x.
Therefore, we can represent the cost as y = 2.5x. So the student Marco- y = 2.5x completed the task correctly.
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|4x - 6| < 6Group of answer choices0 < x < 3x > 3 or x < 0x < 3-3 < x < 0
Answers
We have the following inequality:
[tex]|4x-6|<6[/tex]Applying the properties of absolute values we have that:
[tex]\begin{gathered} -6<4x-6<6 \\ \end{gathered}[/tex]Which can be expressed as
[tex]4x-6>-6\text{ and }4x-6<6[/tex]We solve separately and mix the intervals:
[tex]\begin{gathered} 4x-6>-6 \\ x>\frac{-6+6}{4} \\ x>0 \end{gathered}[/tex][tex]\begin{gathered} 4x-6<6 \\ x<\frac{6+6}{4} \\ x<3 \end{gathered}[/tex][tex]0In conclusion, the answer is 0Find the value of each variable
Answers
Answer: X and Y both equal 21.2
Step-by-step explanation:
What is the angle of elevation of the sun if a 45 foot tall flag pole casts a 22 foot long shadow?A. 63.9B. 60.7C. 26.1D. 29.3
Answers
From the shadow of the flagpole, we can build a right triangle that will allow us to estimate the angle of elevation of the sun.
The shadow on the ground will be one hick of the triangle, and the flagpole will be the other hick. The hypotenuse will be the line connecting the tip of the flagpole and the tip of the shadow. The angle of elevation is the one formed between the ground and the hypotenuse.
With that, the adjacent hick will be the shadow in the ground (22 ft long), and the opposite hick is the flagpole itself (45 ft tall). The tangent of an angle is the ratio of the opposite hick to the adjacent hick. Let's call the angle of elevation α. Then:
[tex]\tan \alpha=\frac{45ft}{22ft}[/tex]To find the value of α we use the function inverse tangent:
[tex]\begin{gathered} \alpha=\tan ^{-1}\frac{45}{22} \\ \\ \alpha\approx63.9 \end{gathered}[/tex]Then, the angle of elevation is approximately 63.9°. The correct answer is option A.
write this as a conditional statement, converse inverse and counterpositive Mrs.smith has a dog that is not a poodle.
Answers
Problem
write this as a conditional statement, converse inverse and counterpositive
Mrs.smith has a dog that is not a poodle.
Solution
Conditional: If Mrs smith has a dog THEN is not a poodle
Converse Inverse: If a dog is a poodle then is from Mrs Smith
Counterpositive: If the dog is NOT a poodle then is NOT from Mrs Smith
REC 4) Which of the following functions could be graphed as a line parallel to y = 3x + 8? 1 y = 5x + 8 y = 4x + 3 y = 3x-2 2
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Given the equation of the line:
[tex]y=3x+8[/tex]to get a paralle line, then our new line need to have the same slop. In this case, the slope is m=3, therefore, the function that could be graphed as a line parallel to y=3x+8 is y=3x-2
On a world map, the distance between city A and city B is 7.125 inches. The two cities are actually 2138 miles apart. On the same map, what would be the distance between city Cand city D, two cities that are actually 2727 miles apart? Use a proportion to solve this problem. On the map, the distance between city C and city D is inches ____ (Round to three decimal places as needed.)
Answers
Proportionately, the distance on the map between City C and City D, which are 2,727 miles apart, is 9.088 inches.
What is proportion?Proportion refers to the portion or ratio of a value contained in another value or number.
Proportion describes a fractional value. We depict proportions using decimals, fractions, and percentages.
The map distance between city A and city B = 7.125 inches
The actual distance between the two cities = 2,138 miles
Proportionately, every inch on the map represents 300.07 miles (2,138/7.125).
City C and City D, which are 2,727 miles apart, their proportionate distance on the map is 9.088 inches (2,727/300.07).
Thus, the proportionate distance between City C and City D on the world map, using the same proportionate distance between City A and City, is 9.088 inches.
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12. What is the Product of 0.04 x 0.08? A. 32 B. 0.32 C. 0.032 D. 0.0032
Answers
Answer: The answer is D 0.0032
Step-by-step explanation:
The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Find the mean, median, mode, and standard deviation. Round to one decimal place as needed.19, 22, 26, 27, 30, 32, 35, 35Mean =Median =Mode =Standard Deviation =
Answers
Sample:
19, 22, 26, 27, 30 , 32, 35, 35
The mean is given by the following formula:
[tex]\mu=\frac{\Sigma X_i}{n}[/tex]Where n is the size if the sample, in this case n=8.
Replacing the values:
[tex]\mu=\frac{19+22+26+27+30+32+35+35}{8}=28.25\approx28.3[/tex]The mean is 28.3.
Median:
To find the median of the sample we are going to find the values that are in the middle of the sample, in this case:
27 and 30 are the data. Therefore, the median is:
[tex]Median=\frac{27+30}{2}=28.5[/tex]The median is: 28.5.
Mode:
The mode is the value that occurs most frequently in the sample, in this case:
The mode is 35.
Standard desviation:
The standar desviation is given by the following formula:
[tex]\sigma=\sqrt[\placeholder{⬚}]{\frac{\Sigma(X_i-\mu)^2}{n}}[/tex]Where, mu is the mean=28.3, n the size of the sample=8 and Xi each value of the sample. Replacing:
[tex]\sigma=\sqrt{\frac{(19-28.3)^2+(22-28.3)^2+(26-28.3)^2+(27-28.3)^2+(30-28.3)^2+(32-28.3)^2+2*(35-28.3)^2}{8}}[/tex]The standar desviation is: 5.47, approximately=5.5.
-(2x+4)=3x-5How do you solve this?
Answers
Given
[tex]-(2x+4)=3x-5[/tex]Solve for x as shown below
[tex]\begin{gathered} \Rightarrow-2x-4=3x-5 \\ \Rightarrow5x=1 \\ \Rightarrow x=\frac{1}{5} \end{gathered}[/tex]Thus, the answer is 1/5.For each function, decide if the equation f(x) =0 has 0, 1, or2 sloulutions
Answers
Answer:
A. 2 solutions
B. 1 solution
C. 0 solution
D. 2 solutions
E. 1 solution
F. 0 solution
Step-by-step explanation:
Identify where y=0, determine where the function intercepts the x-axis, and determine if there are 0,1, or 2 intercepts.
The rectangular stage at Radio City Music Hall in New York City measures 144 feet wide and 60 feet deep. What is the number of square yards in its area?
Answers
Given:
The rectangular stage at Radio City Music Hall in New York City measures 144 feet wide and 60 feet deep.
We will find the area by multiplying the width by the deep
So, the area =
[tex]144\times60=8640[/tex]So, the answer will be Area = 8640 square yards
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4.
Select all of the values that the number could be.
–4/3
1/2
–3/4
2
Answers
The equation is formed and solved below.
What is an equation?
A weighing scale, balance, or seesaw is equivalent to an equation. Each equation relates to a single side of the balance. Different quantities can be placed on either side: if the weights on both sides are equal, the scale balances, and the equality that displays the balance is balanced as well (if not, then the lack of balance corresponds to an inequality represented by an inequation). If two equations or two systems of equations have the same set of solutions, they are equivalent. The operations listed below convert an equation or a system of equations into an equivalent one, assuming that the operations are meaningful for the expressions to which they are applied.
The equation is 6(x)² + 5x = 4, which is solved below as
6x² - 5x - 4 = 0
or, 6x² - 8x + 3x - 4 = 0
or, 2x(3x-4) + 1(3x-4) = 0
or, (2x+1)(3x-4) = 0
either 2x + 1 = 0 => x = -1/2
or 3x - 4 = 0 => x = 4/3
The values could be -1/2 or 4/3
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People spend an average of 7 hours per day on their home computers with a standard deviation of 1hour. What proportion spends at least 5 hours per day on their home computers? (enter the answeras a percent rounded to the nearest hundredth as needed)
Answers
Solution;
From the given question, we have
[tex]\begin{gathered} \mu=7 \\ \sigma=1 \end{gathered}[/tex]To evaluate the proportion of people that spend at least 5 hours per day on their home computers,
Step 1: Evaluate the z score value.
The z score value is expressed as
[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ where \\ x\implies sample\text{ value} \\ \mu\implies mean\text{ value} \\ \sigma\implies standard\text{ deviation} \end{gathered}[/tex]In this case,
[tex]x=5[/tex]thus, we have the z score value to be evaluated as
[tex]z=\frac{5-7}{1}=-2[/tex]Step 2: Evaluate the probability that people will spend at least 5 hours per day on their home computers,
From the normal distribution table, we have
This implies that
[tex]P(x\ge5)=P(z\ge-2)=0.977249868052[/tex]Hence, the proportion that spends at least 5 hours per day on their home computers is evaluated to be
[tex]\begin{gathered} 0.977249868052\times100 \\ =97.7249868052 \\ \approx97.72\%\text{ \lparen nearest hundredth\rparen} \end{gathered}[/tex]Add.Simplify the answer to lowest terms before entering the numerator and denominator in their boxes. 47/148 + 29/148
Answers
The fraction expression 47/148 + 29/148 has a value of 19/37
How to evaluate the expression?From the question the expression is given as
47/148 + 29/148
Next, we take the LCM of the fraction
And then we add them
Taking the LCM, we have
47/148 + 29/148 = (47 + 29)/148
Evaluate the sum in the expression
So, we have
47/148 + 29/148 = 76/148
Simplify the fraction
So, we have
47/148 + 29/148 = 19/37
Hence, the value of the expression is 19/37
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