I need help with these problems, I couldn’t figure it out.. and desperately need them to pass this assignment.
Answers
REcall that we are given the price at 2003, which was 49. Note that at year 2004, there was an increase of 5% of 49. To calculate the 5% of a number, we simply multiply the number by 5 and divide it by 100. So, the price at year 2004 would be
\(49+\frac{5}{100}49\)Since we are told that each year there is a 5% increase of the initial price, this means that at year 2005 we would have another 5% extra. So the price at 2005 would be
\(49+\frac{5}{100}49+\frac{5}{100}49=49\cdot(1+2\cdot\frac{5}{100})\)Note that 2005 is 2 years after 2003, so, based on the pattern we are discovering in this formula, we can say that n years after 2003 the price would be
\(49\cdot(1+n\cdot\frac{5}{100})\)2014 is 11 years after 2003, so this means that n=11. If we replace the value of n, we have that the price at 2014 would be
\(49\cdot(1+11\cdot\frac{5}{100})=75.95\)so the price at year 2014 would be 75.95
Related Questions
4. Mr. Smith makes lemonade. His recipe calls for 1½ cups of water for every cup of concentrate. If Mr. Smith 2 pours all 5 cups of concentrate into a pitcher to serve at a party, how much water should he add?
Answers
He should add 7.5 or 7 1/2 cups of water.
Cup of concentrate = 1
Cup of water = 1 1/2
= 3/2
= 1.5
Cups of concentrate = 5
Cups of water = 5 * 1.5
= 7.5
= 15/2
= 7 1/2
Hence, He should add 7.5 or 7 1/2 cups of water.
To learn more about add here:
https://brainly.com/question/658182
#SPJ1
“The story began badly,” said the smaller of the small girls, “but it had a beautiful ending.”
“It is the most beautiful story that I ever heard,” said the bigger of the small girls, with immense decision.
“It is the only beautiful story I have ever heard,” said Cyril.
A dissentient opinion came from the aunt.
“A most improper story to tell to young children! You have undermined the effect of years of careful teaching.”
“At any rate,” said the bachelor, collecting his belongings preparatory to leaving the carriage, “I kept them quiet for ten minutes, which was more than you were able to do.”
“Unhappy woman!” he observed to himself as he walked down the platform of Templecombe station; “for the next six months or so those children will assail her in public with demands for an improper story!”
–“The Storyteller,”
Saki
How does the character of the bachelor add to the satire of "The Storyteller”?
His character provides humor in the story by revealing human weaknesses.
His character is greatly exaggerated to make fun of single men such as himself.
He exposes the aunt’s flaws by telling an improper story that occupies the children.
He exposes the aunt’s hypocrisy and ineffectiveness by being mean to the children.
Answers
Answer:
Its C, and if your looking for a different answer, try the one above this one.
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
The sides of a triangle are 5 cm, 5 cm and 6 cm. The altitude of the longest side is
Answers
Answer:
Hi... U should do like this
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
The sum of the lengths of is 24.62 cm. The length of is 3 cm and the length of is 17.8 cm. What is the length of and what kind of triangle is this?
A. 3.82 cm; scalene
B. 3.82 cm; isosceles
C. 3.92 cm; scalene
D. 3.92 cm; isosceles
Answers
Answer:
\(the \: third \: length \: \\ 24.62 - 3 - 17.8 = 3.82 \\ \\ because \\ \: 17.8 > 3 + 3.82 \\ it \: is \: scalene\)
Scalene Triangle
A scalene triangle has all side lengths of different measures. No side will be equal in length to any of the other sides in such a triangle. In a scalene triangle, all the interior angles are also different.
Isosceles Triangle
In an isosceles triangle, the lengths of two of the three sides are equal. So, the angles opposite the equal sides are equal to each other. In other words, an isosceles triangle has two equal sides and two equal angles.
Answer:
B. 3.82 cm; isosceles
Step-by-step explanation:
Other persons answer but simplified.
What is the quotient of 67,860 ÷ 13?
Answers
Answer:
5220
Step-by-step explanation:
What is the equation of the following line? Be sure to scroll down first to see all answer options.
A.
y = - x
B.
y = -2x
C.
y = 2x
D.
y = x
E.
y = -4x
F.
y = - x
Answers
Answer:
The answer is option FStep-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To calculate the equation of the line first find the slope
Slope of the line using points
(0 , 0) and (4 , -2) is
\(m = \frac{ - 2 - 0}{4 - 0} = \frac{ - 2}{4} = - \frac{1}{2} \)
Now use the formula
y - y1 = m(x - x1) to find the equation of the line using any of the points
Using point (0,0)
That's
\(y - 0 = - \frac{ 1}{2} (x - 0)\)
The final answer is
\(y = - \frac{1}{2} x\)
Hope this helps you
Answer:
F
Step-by-step explanation:
Convert (87.1352) 10 to base 8
Answers
Answer:
It comes out to around 127
Step-by-step explanation:
There are 25 students in the class. 10 students have sports practice after school. What is the ratio of students that do have practice, to those that do NOT? O 10:25 2.3
Answers
Answer:25-10=15
Step-by-step explanation:
25-10
Find the midpoint of the line segment with given endpoints.
(2, -1) and (-6, 0)
Answers
The coordinates of midpoint of line segment with given endpoints (2, -1) and (-6, 0) are ( -2 , -1/2 ) .
Mid - Point of a line segment : It is a point which divides a line segment into 2 equal halves .
Mid-Point Formula
M = ( \(x_{A}\) + \(x_{B}\) )/2 , ( \(y_{A}\) + \(y_{B}\) )/2
where x - coordinate of mid - point = ( \(x_{A}\) + \(x_{B}\) )/2
y - coordinate of mid - point = ( \(y_{A}\) + \(y_{B}\) )/2
Calculating x - coordinate :
= ( \(x_{A}\) + \(x_{B}\) )/2
= (-6+2)/2
=-4/2
=-2
Calculating y - coordinate :
= ( \(y_{A}\) + \(y_{B}\) )/2
= (0-1)/2
= -1/2
M = ( \(x_{A}\) + \(x_{B}\) )/2 , ( \(y_{A}\) + \(y_{B}\) )/2
Therefore , M = ( -2 , -1/2 ) .
Hence , the coordinates of midpoint of line segment with given endpoints (2, -1) and (-6, 0) are ( -2 , -1/2 ) .
To learn more on Mid- Point Formula refer the following link :
https://brainly.com/question/12223533
#SPJ9
Pls help I need help on this question
Answers
Answer: B
Step-by-step explanation: Hope this helps:)
Determine the domain of the graph above
Answers
The domain of the graph in this problem is given as follows:
C) -3 ≤ x ≤ 4.
How to obtain the domain of the graph?To determine the domain of a graph, you need to identify the set of all possible input values (also known as the independent variable) that produce a valid output (also known as the dependent variable) on the graph.
On a graph, the input values are represented by the values of x of the graph.
On the graph in this problem, we have that it assumes values of x between -3 and 4, with closed intervals, hence the domain is given as follows:
-3 ≤ x ≤ 4.
More can be learned about the domain of a function at https://brainly.com/question/28368825
#SPJ1
A shopping center keeps track of the number of customers in each store at lunchtime. The data shows the number of customers in the 15 different stores in the shopping center last Sunday.
4, 18, 20, 17, 16, 23, 19, 14, 8, 8, 6, 12, 10, 14, 18
Create a histogram of this data.
To create a histogram, hover over each number of customers range on the x-axis. Then click and drag up to plot the data.
Answers
Answer:
0-4 should go up to 1 5-9 should go up to 3 10-14 should go up to 4 15-19 should go up to 5 20-14 should go up to 2
Step-by-step explanation:
Hope this helps!
Solve and graph -4<-1-4x<-1
Answers
Answer:
x<3/4 and x>0
for graphs, refer to the images attached.
Step-by-step explanation:
-1-4x > -4 AND -1-4x <-1
-1-4x >-4-4x > -3x < 3/4-1-4x<-1-4x<0x>0
A gumball machine has 2,120 gumballs. Mike
bought 20 gumballs, which were dispensed
randomly. The results are in the table below.
How many of each color gumball do you predict
are in the machine?
Blue
5
Red
1
Green
8
Pink
4
Yellow
2
Answers
Based on the information, we can infer that the gumball machine had 530 blue gumballs, 106 red gumballs, 848 green gumballs, 424 pink gumballs, 212 yellow gumballs.
How to calculate the amount of gum of each color that was in the machine?To find the amount of gum of each color that was in the machine we must perform rules of three as shown below:
20 gums = 5 blue gums2,120 gum = ? blue gum2,120 * 5 / 20 = 530 blue gumballs20 gums = 1 red gums2,120 gum = ? red gum2,120 * 1 / 20 = 106 red gumballs20 gums = 8 green gums2,120 gum = ? green gum2,120 * 8 / 20 = 848 green gums20 gums = 4 pink gums2,120 gum = ? pink gum2,120 * 4 / 20 = 424 pink gumballs20 gums = 2 yellow gums2,120 gum = ? yellow gum2,120 * 2 / 20 = 212 yellow gumballsLearn more about gumballs in: https://brainly.com/question/428165
#SPJ1
If a ball is thrown straight up into the air with an initial velocity of 55 ft/s, it height in feet after t second is given by y=55t−16t2. Find the average velocity for the time period begining when t=2 and lasting. 0.01seconds? 0.001seconds?
Answers
The average velocity for the time period begining when t = 2 and lasting will be 32 feet per second.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
If a ball is thrown straight up into the air with an initial velocity of 55 ft/s, it height in feet after t second is given by y = 55t − 16t².
The total time of flight is given as,
y = 0
55t − 16t² = 0
t (55 - 16t) = 0
t = 0, 3.4375 seconds
The velocity function is given as,
y' = (d/dt) (55t − 16t²)
v(t) = 55 - 32t
Then the average velocity for the time period begining when t = 2 and lasting is given as,
Average velocity = v(3.4375) - v(2) / (3.4375 - 2)
Average velocity = |(55 - 32 x 3.4375) - (55 - 32 x 2)| / (1.4375)
Average velocity = 46 / 1.4375
Average velocity = 32 feet per second
The average velocity for the time period begining when t = 2 and lasting will be 32 feet per second.
More about the differentiation link is given below.
https://brainly.com/question/24062595
#SPJ1
A particular battery claims to have a mean life of 400 hours with a standard deviation of 30 hours. Approximately what percent of the batteries will last more than 420 hours?
Answers
Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, we have that the mean and the standard deviation are given, respectively, by:
\(\mu = 400, \sigma = 30\).
The proportion of the batteries will last more than 420 hours is one subtracted by the p-value of Z when X = 420, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{420 - 400}{30}\)
Z = 0.67
Z = 0.67 has a p-value of 0.7486.
1 - 0.7486 = 0.2514.
0.2514 = 25.14% of the batteries will last more than 420 hours.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ1
8 Annexure A RESEARCH TOOL: CAMPAIGN(S) IN THE COMMUNITY Name of a campaign: Position of the interviewee(s) at the Centre: ** Respond to the following questions/statements by placing a tick (✓) where appropriate and also by filling in the spaces below. 1. Does the Campaign pursue it's aims? YES/NO Elaborate
Answers
In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.
The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.
What is a questionnaire?A questionnaire is a research tool used to collect data by presenting a series of questions to respondents,typically in a written format.
Questionnaires are an important research tool as they allow researchers to gather large amounts of data from a large number of participants in a standardized and efficient manner.
They provide a structured approach to collecting information,allowing for easy analysis and comparison of responses.
Questionnaires can be used in various research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.
Learn more about Research Tool at:
https://brainly.com/question/28982692
#SPJ1
Write an algebraic expression that represents the total area of the square shown
I will give brainliest
Answers
Find the slope of the tangent line to the curve defined by 4x2+5xy+y4=370
at the point (−9,−1)
Answers
Answer:
The slope of the tangent line to the curve at the given point is -11/7.
Step-by-step explanation:
Differentiation is an algebraic process that finds the gradient (slope) of a curve. At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.
Given function:
\(4x^2+5xy+y^4=370\)
To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.
Begin by placing d/dx in front of each term of the equation:
\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)
Differentiate the terms in x only (and constant terms):
\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)
Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:
\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
Use the product rule to differentiate terms in both x and y.
\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)
\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:
\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)
\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)
To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)
Therefore, slope of the tangent line to the curve at the given point is -11/7.
14) Peter signed up for Netflix and it is charging him $10.50 per month. He only used it for 5 months before canceling because they ended his favorite shows.
14a) What expression represents the total change in the amount of money he has to pay?
Answers
10.50 x 5 would be the expression.
The answer is $52.5
Answer:
10.50 x 5 would be the expression.
The answer is $-52.5
Step-by-step explanation:
What number is 24% of 100
Answers
The number, n which is 24% of 100 as required in the task content is; n = 0.24 × 100.
What number is 24% of 100 as in the task content?It follows that the required number is to be 24% of 100, hence, the number can be represented as follows;
24% of 100
= (24/100) × 100
= 0.24 × 100
Read more on percentages;
https://brainly.com/question/16865197
#SPJ1
Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?
A
4/1
B
3/1
Answers
Answer:
d) 1/12
Step-by-step explanation:
Please help I need the answer quick this assignment is almost due!
Answers
Answer:
x = -3
Step-by-step explanation:
The two angles shown are corresponding angles, meaning that they have the same value. Because of this, we can create an equation to solve for the value of x.
2x + 9 = 7x + 24
Remember, those two angles are similar, and that's why we can make the two values equal to each other. First, let's remove 7x from both sides.
2x - 7x + 9 = 7x - 7x + 24
-5x + 9 = 24
Then, we'll remove 9 from both sides.
-5x + 9 - 9 = 24 - 9
-5x = 15
Finally, we'll divide both sides by -5 to isolate x and figure out what it is equivalent to.
-5x/-5 = 15/-5
x = -3
And there it is... the value of x. Hopefully that's helpful! :)
x⁵+x³-5 is divided by x-2
Answers
The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:
1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).
x - 2 | x⁵ + x³ + 0x² + 0x - 5
2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴
x - 2 | x⁵ + x³ + 0x² + 0x - 5
3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it. x⁴
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
4. Bring down the next term (-5) from the dividend.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
- (3x⁴ - 6x³)
6x³ + 0x² + 0x - 5
7. Repeat steps 4-6 until you have subtracted all terms.
x⁴ + 3x³ + 6x² + 12x + 24
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
- (3x⁴ - 6x³)
6x³ + 0x² + 0x - 5
- (6x³ - 12x²)
12x² + 0x + 0
- (12x² - 24x)
24x + 0
- (24x - 48)
48
8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
For more questions on Polynomial .
https://brainly.com/question/2833285
#SPJ8
A square country is 12 miles long on one side. What is the area of the
country?
Answers
Answer:
It is 12
Step-by-step explanation:
because it is simple math
80 POINTS!!!!!!!!!!! What is the y-intercept of the line perpendicular to the line y = x + 1 that includes the point (4, 1)? 2 4
Answers
Answer:
y-intercept = 1Step-by-step explanation:
\(y = x + 1\\Let ; x =0\\y = 0+1\\y = 1\)
Answer:
y=5
Step-by-step explanation:
Recall that for a linear equation y = mx + b,
the gradient of the line is m and the gradient of a line perpendicular to this line is the negative reciprocal of m,
i.e:
gradient of line perpendicular to gradient m = -1/m
In our case, we are given y = x+1.
Compared to the general equation above, gradient m = 1
hence the gradient of a perpendicular line = -1/m = -1/1 = -1
therefore the perpendicular line will take the form:
y = (-1) x + b
y = -x + b, where b is the y-intercept.
We are also given that the perpendicular line passes through (4,1), we simply substitute x = 4, y = 1 into the equation
y = -x + b
1 = -4 + b (add 4 to both sides)
1 + 4 = b
b = 5
Hence the y-intercept is y=5
Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
Answers
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
Read more on inequality here: brainly.com/question/29115398
#SPJ1
How can I use an equation with a single unknown to help understand with my billing
Answers
Answer:
U just said a random thing
Step-by-step explanation:
elementary surveying two ridges b and c forms a valley having a at the bottom part in between the ridges. elevation difference between b nad c is 111..356 m. observing at point a, the angle of elevation is
Answers
the difference of elevation between a and b.Let AB = x, tan 36 = x/111.356 ,x = 111.356 tan 36= 64.39 m and Difference in elevation = 64.39m
We are given that two ridges B and C form a valley with a point A at the bottom part with an elevation difference of 111.356m between the ridges and and angle of elevation of 36 degrees at point A. To find the difference of elevation between A and B, we use the formula of tangent which is tan θ = Opposite/Adjacent. We substitute the values and solve for x, which is the elevation difference between A and B. So the difference in elevation between A and B is 64.39m.
Learn more about elevation difference here
https://brainly.com/question/6689872
#SPJ4