Answer:
12500 dollars/year
Step-by-step explanation:
A linear equation i in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change and b is the initial value of y (i.e. x = 0).
Let x represent the year and y represent the cost of the house. Given that x = 0 represent 2000, hence we can represent the problem in the form (x, y) as:
(7, 120000) and (17, 245000). The annual rate of change is gotten using:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{245000-120000}{17-7} \\\\m=12500\\\\m=125000\ dollars\ per \ year[/tex]
JK has endpoints located at J(15,-13) and K(-9,27) what are the coordinates of the midpoint JK.
A.(3,7)
B.(12,20)
C.(1,9)
D.(14,18)
Answer:
(3, 7)
Step-by-step explanation:
The formula for calculating the midpoint of two coordinates is expressed as:
M(X, Y) = [x1+x2/2, y1+y2/2]
Given the coordinates J(15,-13) and K(-9,27), the coordinates of the midpoints is expressed as:
X = 15-9/2
X = 6/2
X = 3
Similarly,
Y = y1+y2/2
Y = -13 +27/2
Y = 14/2
Y = 7
Hence the coordinate of the midpoint is at (3, 7)
multiply (6x+7)(6x-7) by using sutaible identity
Answer:
Here bro, but after this go to sleep
Step-by-step explanation:
Answer:
(6x)^2- (7)^2
36x^2-49
Pls help!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
Answer:
a) 18 cm
Step-by-step explanation:
c=2(pi)r
36(pi)=2(pi)r
18=r
which of the following represents the equation with a slope of 3 and a y-intercept of 2?
Answer:
c is the correct answer
Step-by-step explanation:
The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year. To test her hypothesis, she has collected a random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,750. a) Develop the appropriate null and alternative hypotheses. b) Assuming the standard deviation is known to be $2,500 and the significance level for the test is to be 0.05, what is the t-statistic
Answer:
The test statistics is [tex]z = -1[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The null hypothesis is [tex]H_o : \mu = \$30000[/tex]
The alternative hypothesis is [tex]H_a : \mu < \$ 30000[/tex]
The sample mean is [tex]\= x = \$29,750[/tex]
The standard deviation is [tex]\sigma = \$2,500[/tex]
The level of significance is [tex]\alpha =0.05[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{29750 - 30000 }{ \frac{ 2500}{ \sqrt{100} } }[/tex]
=> [tex]z = -1[/tex]
From the desired test, we have that:
a)
The null hypothesis is: [tex]H_0: \mu \geq 30000[/tex]The alternative hypothesis is: [tex]H_1: \mu < 30000[/tex]b) The t-statistic is t = -1.
Item a:
At the null hypothesis, we test if the average starting salary for clerical employees in the state is not less than $30,000, that is:
[tex]H_0: \mu \geq 30000[/tex]
At the alternative hypothesis, it is tested if the salary is less than $30,000, that is:
[tex]H_1: \mu < 30000[/tex]
Item b:
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 29750, \mu = 30000, s = 2500, n = 100[/tex]
Hence, the t-statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{29750 - 30000}{\frac{2500}{\sqrt{100}}}[/tex]
[tex]t = -1[/tex]
The t-statistic is t = -1.
A similar problem is given at https://brainly.com/question/13873630
Question 2: 5 pts
A machine costs $50,000. Its value depreciates by 15% after each year. Identify the graph of the sequence and
the correct description of its pattern. Then identify the value of the equipment at the end of 8 years.
Answer:
The value is decreasing by $7500 each year
At the end of 8 years, the equipments value is -$10000
Step-by-step explanation:
15% of 50000 is 50000*15/100=7500
To find the end of 8 years, you subtract the sum of 7500*8 from 50000
7500*8=60000
50000-60000=-10000
in a journey of 450km a person complete its 150km in 3hours.Then he increases his speed by 20%.How long time does it take to complete all the journey
Answer:
450 km
150/3=50km/hr
50+20%
1/5*50=10
50+10=60
60km/hr
450-150=300
300/60=5
5 hours
Find the value of x. Everything is in the photo.
Answer:
27
Step-by-step explanation:
Note that since VX and XZ are both line segments, <VWX and <XYZ both equal 180 (also known as a straight angle). Also, note that the sum of the angles in a triangle are 180 degrees. Now, let’s start.
Finding angles of the triangle:
<WYX = <XYZ - <WYZ = 180 - 4x
<XWY = <XWV - <VWY = 180 - 6x
Using the sum of angles in a triangle and substituting these values in:
180 = <X + <WYX + <XWY = 90 + (180 - 4x) + (180-6x) = 450 - 10x
270 = 10x
27 = x
We are done! I hope this helps! :)
MY NOTES ASK YOUR TEACHER Jack has decided to advertise the sale of his car by placing flyers in the student union and the dining hall of the college. He estimates that there is a probability of 0.4 that a potential buyer will read the advertisement and that, if it is read, the probability that the reader will buy his car will be 0.1. Using these estimates, find the probability that a potential buyer will read the ad and will buy Jack's car.
Answer:
The probability that a potential buyer will read the advert and will buy Jack's car is 0.04
Step-by-step explanation:
Estimate 1: There's a 0.4 probability that a potential buyer will read the advert.
Estimate 2: There's a 0.1 probability that whoever reads the advert will buy his car.
- As you can see, the probability of success of this event decreases; from the point of Jack placing an advert, to the point of someone purchasing his car.
- That someone reads the advert does not mean that he or she would be interested in or capable of purchasing the car.
- That someone has the capacity to buy the car (potential buyer) does not mean they'll eventually buy it.
- So altogether, there is a low probability of each reader purchasing the car, and that's 0.1
In the calculation of probability, "and" represents multiplication. Hence,
0.4 × 0.1 = 0.04
Grant also buys bottled water and juice pouches for the picnic. There are
12 bottles of water in each case and 10 juice pouches in each box. Grant wants
to buy the least amount but still have as many bottles of water as juice pouches.
How many of each should he buy? Explain.
Answer:
60 of each
Step-by-step explanation:
water juice
12 10
24 20
36 30
48 40
60 50
60
what is 3 divided by 11/12
Answer:
0.02272
Step-by-step explanation:
Answer:
11/12 dividing 3 would be 11/36
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!
A jar contains n nickels and d dimes. There are 19 coins in the jar, and the total value of the coins is $1.40.
How many nickels and how many dimes are in the jar? (Hint: Nickels are worth $0.05 and dimes are worth
$0.10.)
Answer:
The are 8 dimes and 12 nickels
Step-by-step explanation:
1.We set n+d=20 because 20 is the total number of dimes and nickels in the jar.We have $0.05 n because for ever nickel,we earn $0.05.Adding this to the value of dimes,represented similarly by $0.1,then we set this to the amount of money we have in total,which is $1.40.
2.Subtract d from both sides of the first equation to get it by itself.Substitute-d for n in the second equation.The divide both sides by 0.5 to obtain the answer.
3.Substitute 8 in for d to obtain the value or n.
HELP PLEASE HELP!! I NEED THIS DONE BEFORE AN HOUR!! PLEASEEEE!! :(((
On Christmas Eve, Charlie ate 20% of the gingerbread cookies he baked. If he ate 11 cookies, what was the total number of cookies he baked?
Answer:
22
Step-by-step explanation:
Charlie baked total of 55 cookies if he ate 11 cookies which is the 20% of the total cookies.
What is Percentage?The ratio or number in terms of the fraction per 100 is called the percentage. This concept is mainly used to calculate the proportion of any value with respect to the original value.
Symbol representing the percentage is %.
Let x be the number of cookies Charlie baked.
Percentage of cookies Charlie ate = 20%
Number of cookies Charlie ate = 11
That is, Charlie ate 20% of the total cookies, x, which actually equals 11.
⇒ 20% × x = 11
⇒ (20/100) × x = 11
⇒ 0.2 × x = 11
⇒ x = 11/0.2
⇒ x = 55
Hence the number of cookies Charlie baked is 55, if he ate 20% of the cookies which equals 11.
To learn more about Percentage, click on the link given below:
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Help please! This has to do with the Pythagorean theorem.
I bought apples and bananas at the store in a ratio of 3 apples to 4 bananas. If I bought 35 pieces of fruit. How many apples and bananas did I buy.
Answer:
15 apples
20 bananas
A total of 15 apples and 20 bananas has been bought.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the number of apples = A
Number of bananas = B
Given that,
Apples and bananas at the store in a ratio of 3 apples to 4 bananas.
So,
A/B = 3/4
And,
A + B = 35
By substitution,
4(35 - B) = 3B ⇒ B = 20
And,
A = 35 - 20 = 15
Hence "A total of 15 apples and 20 bananas has been bought".
For more about the equation,
https://brainly.com/question/10413253
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A solution has a pH of 10.3. When a solid is dissolved in the solution, the pH changes to 9.6. What can be inferred from this observation? (2 points)
Answer:
We see that the original material was a base, after adding the other material into the base it reduces its basicity.
So we can infer that the substance added was an acid as if we add bases it will increase the basicity.
PLZ MARK BRAINLIEST
The question is below thanks
Answer:
FH ~ 10.02
Step-by-step explanation:
1. Approach
One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.
2. Circumference of the circle
The formula for circumference is;
[tex]2r[/tex]π
Substitute in the given values;
It is given that the radius is, hence
2 (7) π
14π
3. Find the fraction of the circumference one is supposed to find
It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;
[tex]\frac{angles}{360}=\frac{arc}{circumference}[/tex]
Substitute in the given information and solve;
[tex]\frac{82}{360}=\frac{arc}{14pi}[/tex]
arc = [tex]\frac{41}{180}*14pi[/tex]
arc = [tex]\frac{287}{90}*pi[/tex]
arc ~ 10.02
Find the height of a right circular cone whose radius is 5 cm and volume is 100 pie cm cubed
Answer:
h = 3.82
I have attached picture
Find the distance between a point (-7,-19) and a horizontal line at y = 3 .
The line is horizontal so the x value of the dot doesn’t matter because the x is a horizontal location.
The vertical distance would be the y value to the line.
-19 to 0 would be 19 and from 0 to 3 is 3
Total distance is 19 + 3 = 22
The answer is 22
Write the word or phrase that best completes each statement or answers the question.
Answer:
She can give it in 1- ways
How do you factor x^2+8x-5=4?
Answer:
(x + 9)(x - 1)
Step-by-step explanation:
First, set the equation equal to zero by subtracting 4 from both sides:
x² + 8x - 5 = 4
x² + 8x - 9 = 0
Then, find two factors of -9 that add to 8.
These factors are the numbers 9 and -1.
Then, using these factors, put the equation in factored form:
x² + 8x - 9 = 0
(x + 9)(x - 1) is the factored equation
What is the measure of angle Y?
60 40
Answer:
if it is triangle it is 80
is 3π/9 irrational or rational
Answer:
irrational
Step-by-step explanation:
Since π is an irrational number, it would make 3π/9 an irrational number too since multiplying or dividing by pi makes the answer an irrational number.
BRAINLIST AND MANY OTHERS THINGS
Kyle's home is located at point (0 , 0). Kyle travels up for 5 miles, right for 6 miles, down for 10 miles, left for 6 miles, and finally up again for 5 miles. What is Kyle's new location?
Answer:
1, 0
Step-by-step explanation:
Just go on a chart graph and do what it asks and you get that.
the diagonal of a square is 3√2 then find its length
hope that this answer helps you.
PLZ ANSWER IF U KNOW THE ANSWER
What is the center of the circle shown below?
А
ОА. В
ОВ. АВ
в
ос. А
OD. Y
Answer:
A
Step-by-step explanation:
the answer is A with the letter B next to it
The center of the circle is B.
What is Center of Circle?A circle's centre is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.
The location of a moving point on a plane such that its separation from a stationary point on the plane remains constant or fixed is described as a circle.
A circle is a two-dimensional form characterised by its centre and radius. If we know the centre and radius of a circle, we can draw it. There are an endless number of radii for a circle. A circle's centre is the point at which all of its radii meet. It is also known as the middle of the circle's diameter.
When we are given a circle and must locate its centre.When a circle's equation is supplied and we need to get the coordinates of its centre.From the figure the equidistant point from the surface of the circle is B.
Learn more about Centre of Circle here:
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PLEASE HELP ASAP
Solve each system by graphing. (REAL GRAPH PAPER ONLY)
Answer:
Slope with Y intercepts and going down/ up from there
Step-by-step explanation:
I dont have graph paper, but the B part is Y intercept. That Means that the 2nd number is where the line intercepts with Y axis. The Y axis for 1 is Y=-1, with no slope meaning its a straight line with no slope. It just goes through -1 on Y axis horizontally. On number one for the second equation, 2 is the Y intercept for the other line, and the line has a rise and run of 3/1, meaning it goes up 3 on the positive side of the x axis, and it goes to the side one. Hope this made a little sense. I learned this a few weeks ago in my algebra class.
You buy some 300-yen pieces of cake and some 350 yen pieces of cake. If you buy 10 pieces of cake and pay 3300 yen, how many of each kind did you buy?
Answer:
The number of:
300- yen cakes = x = 4
350 - yen cakes = y = 6
Step-by-step explanation:
Let the number of:
300- yen cakes = x
350 - yen cakes = y
You buy some 300-yen pieces of cake and some 350 yen pieces of cake. If you buy 10 pieces of cake and pay 3300 yen, how many of each kind did you buy?
Hence, our system of equations derived from the question is:
x + y= 10 ..... Equation 1
x = 10 - y
300x + 350y = 3300 yen... Equation 2
Substitute 10 - y for x in Equation 2
Hence:
300(10 - y) + 350y = 3300
3000 - 300y + 350y = 3300
- 300y + 350y = 3300 - 3000
50y = 300
y = 300/50
y = 6
x = 10 - y
Substitute 6 for y
x = 10 - 6
x = 4
Therefore, the number of:
300- yen cakes = x = 4
350 - yen cakes = y = 6
During each week of piano lessons, William learns to play 2 new pieces. Write an equation that shows the relationship between the weeks of lessons x and the total number of pieces learned y.
Answer:
William can find how many piano pieces he has learned by using the equation y = 2x.
Step-by-step explanation:
We are given that William learns two piano pieces per week.
We are tasked with finding the equation that represents this relationship (the number of weeks that William has received piano lessons and the total number of piano pieces that William has learned).
The number of weeks that William has attended piano lessons is represented by the variable x.The total number of piano pieces that William has learned is represented by the variable y.Therefore, take for example that William has been taking piano lessons for four months. This would roughly equate to sixteen weeks.
[tex]x=16[/tex]After analyzing this, we know that he learns two pieces a week. So, we can multiply our number of weeks by two in order to receive the total amount of pieces learned.
[tex]x \times 2[/tex]Finally, we need to set this equal to the total number of pieces learned, or our previously defined variable y.
[tex]y=x\times 2[/tex]In mathematics, we want to simplify everything as much as possible. There is a statement that if a constant and a variable are to be multiplied, we can remove the multiplication symbol and place the constant and the variable together.
[tex]y=2x[/tex]Therefore, our equation is [tex]\bold{y = 2x}[/tex].