Answer:
The graph crosses the x-axis at x = 0 and touches the x-axis at x = 3.
Step-by-step explanation:
When you graph this equation, you should see the zeros it passes and touches.
Answer:
A. The graph crosses the x-axis at x = 0 and touches the x-axis at x = 3.
Step-by-step explanation:
Natasha wants to find out if the neighborhood supports lowering the speed limit on the street in front of her school. Which is a valid sample for the survey? students in Natasha’s social studies class parents who live in a town 15 miles away from Natasha’s school the first 5 drivers who drive past Natasha’s school one morning thirty residents who live within a 2-miles radius of Natasha’s school
Answer:
Thirty Residents Who Live Within a 2-Miles Radius Of Natasha’s School
Step-by-step explanation:
Answer:
The correct answer is "thirty residents who live within a 2-miles radius of Natasha’s school." or (D)
Step-by-step explanation:
teehee
What is -5+8=-3y+10 equal I’m so lost
Answer:
y=7/3
Step-by-step explanation:
Answer:
7/3 = y
Step-by-step explanation:
-5+8=-3y+10
3 = -3y + 10
Subtract 10 from each side
3- 10 = -3y +10-10
-7 = -3y
Divide each side by -3
-7/-3 = -3y/-3
7/3 = y
An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by the local dealer. The customer relations department will survey a random sample of customers and compute a 99.5% confidence interval for the proportion who are not satisfied.
(a) Past studies suggest that this proportion will be about 0.2. Find the sample size needed if the margin of the error of the confidence interval is to be about 0.015. (You will need a critical value accurate to at least 4 decimal places.)(b) Using the sample size above, when the sample is actually contacted, 12% of the sample say they are not satisfied. What is the margin of the error of the confidence interval?
Answer:
a) A sample size of 5615 is needed.
b) 0.012
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
99.5% confidence level
So [tex]\alpha = 0.005[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.005}{2} = 0.9975[/tex], so [tex]Z = 2.81[/tex].
(a) Past studies suggest that this proportion will be about 0.2. Find the sample size needed if the margin of the error of the confidence interval is to be about 0.015.
This is n for which M = 0.015.
We have that [tex]\pi = 0.2[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.015 = 2.81\sqrt{\frac{0.2*0.8}{n}}[/tex]
[tex]0.015\sqrt{n} = 2.81\sqrt{0.2*0.8}[/tex]
[tex]\sqrt{n} = \frac{2.81\sqrt{0.2*0.8}}{0.015}[/tex]
[tex](\sqrt{n})^{2} = (\frac{2.81\sqrt{0.2*0.8}}{0.015})^{2}[/tex]
[tex]n = 5615[/tex]
A sample size of 5615 is needed.
(b) Using the sample size above, when the sample is actually contacted, 12% of the sample say they are not satisfied. What is the margin of the error of the confidence interval?
Now [tex]\pi = 0.12, n = 5615[/tex].
We have to find M.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 2.81\sqrt{\frac{0.12*0.88}{5615}}[/tex]
[tex]M = 0.012[/tex]
Write the equation of a line that is perpendicular to the given line and that passes through the given point. y = 3/4x -9; (-8, 18)
Answer: y=-4/3x+22/3
Step-by-step explanation:
the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line
y=-4/3x+b
if you put in the x and y values
18=-4/3*-8+b
18-32/3=b
b=22/3
y=-4/3x+22/3
Alan made a small four sided table for his office .Two sides of the table are 27 inches long and 36 inches long .If the diagonal of the table is 40 inches ,does the table have a right angle at the corners
Answer:
does NOT have right angles at the corners
Step-by-step explanation:
we are given that the sides of a table are 27" and 36" long.
If we assume the table to be rectangular, then by Pythagorean formula, we can find the diagonal and compare it to the 40" that we are given.
(refer to attached)
diagonal² = 27² + 36²
diagonal² = 27² + 36²
diagonal² = 2025
diagonal = √2025
diagonal = 45 inches
because the diagonal that we found is not the same as the 40" that was given, we can conclude that the table is not a rectangle (i.e does not have right angles at the corners)
Which expressions are equivalent to 30 - 3y - 9
3(17-y)
3(20-y-3)
17(3-y)
Or 20(3-3y)-9
Answer:
B 3(20-y-3)
Step-by-step explanation:
This is the answer u lookin for ✌
Evaluate the following algebraic expression:
2 x + y for x = 1 and y = 1
Answer:
3
Step-by-step explanation:
2*1+1
2+1
3
how this helps :)
Suppose the coefficient matrix of a system of linear equations has a pivot position in every row. Explain why the system is consistent. Choose the correct answer below. A. The system is consistent because the rightmost column of the augmented matrix is not a pivot column. B. The system is consistent because all the columns in the augmented matrix will have a pivot position. C. The system is consistent because the augmented matrix is row equivalent to one and only one reduced echelon matrix. D. The system is consistent because the augmented matrix will cont
Answer: A.
The system is consistent because the rightmost column of the augmented matrix is not a pivot column.
Explanation: a system is consistent if and only if the rightmost column of the augmented matrix is not a pivot column. Since every column of the coefficient matrix is a pivot column, none of the leading coefficients are in the rightmost column of the augmented matrix. Therefore the rightmost column of the augmented matrix cannot be a pivot column and the system must be consistent.
The base of a regular pyramid is a hexagon.
The figure shows a regular hexagon with center C. An apothem is shown as a dashed segment perpendicular to an edge and is labeled as a. A dashed line segment joins the center with the left vertex of the edge perpendicular to the apothem. This segment has a length of 8 centimeters. The angle formed by the edge and the segment measures 60 degrees.
What is the area of the base of the pyramid?
Enter your answer in the box. Express your answer in radical form.
Answer:
[tex]216\sqrt{3}[/tex] [tex]cm^{2}[/tex]
Step-by-step explanation:
Length of edge:
[tex]12[/tex]
Length of apothem:
[tex]\frac{\sqrt{3}}{2}*12[/tex]
[tex]6\sqrt{3}[/tex]
3 × Length of edge × Length of apothem:
[tex]3*12*6\sqrt{3}[/tex]
[tex]216\sqrt{3}[/tex]
The answer is 96√3 cm²
Suppose that the mean birth weight of human babies is 3100 g. Hospital A records an average of 50 births a day. Hospital B records an average of 10 births a day. On a particular day, which hospital is less likely to record an average birth weight of at least 3400 g?
Answer:
Hospital A is less likely to record an average birth weight of at least 3400 g.
Step-by-step explanation:
Applying the Central Limit Theorem and the normal probability distribution.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Applying the Central Limit Theorem to find the z-score.
[tex]Z = \frac{X - \mu}{\sigma} = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]
Probability of an average birth weight of at least 3400 g?
This probability is 1 subtracted by the pvalue of Z when X = 3400.
Mean is 3100, so [tex]\mu = 3100[/tex]
Suppose s is the same for both.
Hospital A:
n = 50. So
[tex]Z = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]
[tex]Z = \frac{3400 - 3100}{\frac{s}{\sqrt{50}}[/tex]
[tex]Z = \frac{300\sqrt{50}}{s}[/tex]
Hospital B:
n = 10. So
[tex]Z = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]
[tex]Z = \frac{3400 - 3100}{\frac{s}{\sqrt{10}}[/tex]
[tex]Z = \frac{300\sqrt{10}}{s}[/tex]
Comparasion:
[tex]\frac{300\sqrt{50}}{s} > \frac{300\sqrt{10}}{s}[/tex]
This means that hospital A has the higher z-score.
The higher the z-score, the higher the pvalue.
So, for A, 1 subtracted by the pvalue of Z when give a lower value than the 1 subtracted by the pvalue of Z in b. This means that hospital A is less likely to record an average birth weight of at least 3400 g.
Dimensions of a cow farm are 650 feet by 255 feet. If 1 inch represents 40 feet, what re the dimensions of the building on the drawing?
Answer:
the dimensions in the drawing are 16.25 inches by 6.375 inches
Step-by-step explanation:
The first thing is to use the same unit on the scale, that is, they tell us that the scale is 1:40 but that scale cannot be applied because they are different units of measurement.
The answer is preferable to give it in inches because it is more adapted to the measurements in a drawing, therefore we will pass the scale all in inches, knowing that 1 foot is 12 inches:
40 feet * 12 inches / 1 foot = 480 inches, therefore the scale is 1: 480
Now, if we pass the dimensions that give us inches, we are left with:
650 feet * 12 inches / 1 foot = 7800 inches
255 feet * 12 inches / 1 foot = 3060 inches
Now applying the scale:
7800/480 = 16.25
3060/480 = 6.375
It means that the dimensions in the drawing are 16.25 inches by 6.375 inches
Gas prices are up 30% since last year when they were $4.35, how much is gas now?
Express your answer rounded correctly to the nearest cent.
Answer:
$5.66/gal
Step-by-step explanation:
To calculate the current price of gas, multiply $4.35/gal by (1 + 0.30), or by 1.30:
1.30($4.35/gal) = $5.66/gal
indictate which of the following are propositions.For the ones which are propositions, determine the truth value.(a) The integer 24 is prime.(b) Is the integer 315 even?(c) The sum of 3 and 4 is 12.(d)
Answer:
Step-by-step explanation:
When we propose an hypothesis, it is either true or false. The same goes for a proposition.
The required objective here is to determine the truth value in the following proposition.
(a) The integer 24 is prime.
(b) Is the integer 315 even?
(c) The sum of 3 and 4 is 12.
(d) -4 ∈ Ζ
From the first option:
(a) The integer 24 is prime.
The sentence is a proposition but the truth value is FALSE because a prime number is a number that can only be divide by 1 and itself but in the case of 24, Its factors include 1,2,3,4,6,8,12 and 24 which make 24 to falsify the proposition of being a prime number.
(b) Is the integer 315 even?
This option is not a proposition but rather a question since it has a question mark, however, 315 is an odd number since it is not divisible by 2.
( c) The sum of 3 and 4 is 12.
This is a proposition and the truth value is FALSE
The sum of 3+4 = 7 ; Hence; 7 ≠ 12
(d) -4 ∈ Ζ
This is a proposition and the truth value is TRUE.
-4 ∈ Ζ is read as ( minus four is an integer (∈) of Z )
Yes, this is a proposition and its Truth value is TRUE , since minus four is an integer (∈) of Z
What is 5 4/5 - 2 2/3 as a fraction? If needed please write as a mixed number
Answer:
2 4/5
Step-by-step explanation:
5 4/5 - 2 3/3=2 4/5
Answer:
47/15 or 3 2/15
Step-by-step explanation:
first put it into improper fraction
so 29/5 minus 8/3
then find the least common denominator which is 15
87/15 minus 40/15 which is 47/15
simplify it
In the xy-plane, point E has coordinates (4,5) and point O has coordinates (0,0). Which of the following is an equation of the line that contains points O and E?
a)y=x-1
b)y=x+1
c)y=4/5x
d)y=5/4x
Answer:
D
Step-by-step explanation:
You can plug in the given x and y values into the equations and see which one works for both of them.
D works for both of them:
5 = 5/4(4)
0 = 5/4(0)
Answer:
y=5/4x
Step-by-step explanation:
I just took the TSI2 and it says its correct
Write the word sentence as an equation. Then solve.
The difference between a number c and 13 is −2.
Answer: C-13 = -2 C = 11
Step-by-step explanation:
difference means subtraction.
the wording "is" implies the answer to the equation = -2
let C be a variable
C - 13 = -2
C = -2 + 13 solve for C by getting C by itself
C = 11
The word sentence as an equation will be as C - 13 = -2, then the solution is 11.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given that difference between a number c and 13 is −2.
Here the difference means subtraction.
Assume C be a variable;
C - 13 = -2
C = -2 + 13
Now solve for C by getting C by itself;
C = 11
Therefore, the word sentence as an equation will be as C - 13 = -2, then the solution is 11.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
HELPP!!!
For the equation 3(x - 4) = [blank] - 2x +7
Fill in the blank with a value that will create an equation with no solutions.
Answer:
The value that will create an equation with no solutions is 5x.
Step-by-step explanation:
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable.
To create a no solution equation, we can need to create a mathematical statement that is always false. To do this, we need the variables on both sides of the equation to cancel each other out and have the remaining values to not be equal.
Use distributive property on the left side first.
[tex]3(x - 4) = [blank] - 2x +7\\\\3x-12=5x - 2x +7\\\\3x-12=3x+7\\\\3x-12+12=3x+7+12\\\\3x=3x+19\\\\3x-3x=3x+19-3x\\\\0=19[/tex]
Notice that we combined like terms first and then eliminated the variable from one side. When that happened, the variable on the other side was eliminated as well, giving us a false result.
Since zero does not equal nineteen, we know we have an equation with no solution.
find the slope of (2, 2) and (-2, -2) choices are 4, 2 and 1
Answer:
1
Step-by-step explanation:
We can find the slope by using
m = (y2-y1)/(x2-x1)
= (-2-2)/(-2 -2)
=-4/-4
=1
Answer:
Your answer would be 1
Step-by-step explanation:
Slope formula = y2-y1/x2-x1
x1y1=2,2 and x2y2=-2,-2
Plug the values in:
= -2-2/-2-2 = -4/-4 = 1
The score below represents Akilahs science exam score 20 90 25 100 85 30 what is the MAD of her test
Answer:
The mean absolute deviation (MAD) of the dataset is 33.333.
Step-by-step explanation:
The mean absolute deviation (MAD) of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.
These are the steps to calculate the mean absolute deviation.
Step 1: Calculate the mean.
[tex]Mean = \frac{20+90+25+100+85+30}{6} =\frac{175}{3}\approx58.333[/tex]
Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.
[tex]|20-\frac{175}{3} |=\frac{115}{3}\\\\|90-\frac{175}{3} |=\frac{95}{3}\\\\|25-\frac{175}{3} |=\frac{100}{3}\\\\|100-\frac{175}{3} |=\frac{125}{3}\\\\|85-\frac{175}{3} |=\frac{80}{3}\\\\|30-\frac{175}{3} |=\frac{85}{3}[/tex]
Step 3: Add those deviations together.
[tex]\frac{115}{3}+\frac{95}{3}+\frac{100}{3}+\frac{125}{3}+\frac{80}{3}+\frac{85}{3}=\frac{600}{3}=200[/tex]
Step 4: Divide the sum by the number of data points.
[tex]MAD=\frac{200}{6} =33.333[/tex]
PLEASE HELP WILL MARK BRAINLIEST !!!
Answer:
work is shown and pictured
Find the area of the triangle QRS, R(6, 10) Q(-9, 5) S(2, -10)
Answer:
[tex]Area = 140[/tex]
Step-by-step explanation:
Given
R(6, 10)
Q(-9, 5)
S(2, -10)
Required
Area of triangle RQS
The are of RQS is calculated using the following formula;
[tex]Area = \frac{1}{2} [R_x(S_y - Q_y) + Q_x(R_y - S_y) + S_x(Q_y - R_y)][/tex]
Where x and y represent the axis of the given coordinates;
Given that R(6, 10);
[tex]R_x = 6 ; R_y = 10[/tex]
Given that Q(-9, 5);
[tex]Q_x = -9 ; Q_y = 5[/tex]
Given that S(2, -10);
[tex]S_x = 2 ; S_y = -10[/tex]
By Substituting these values in the given formula;
[tex]Area = \frac{1}{2} [R_x(S_y - Q_y) + Q_x(R_y - S_y) + S_x(Q_y - R_y)][/tex]
[tex]Area = \frac{1}{2} [6(-10 -5) + -9(10 - (-10)) + 2(5 - 10)][/tex]
[tex]Area = \frac{1}{2} [6(-15) + -9(10 + 10)) + 2(-5)][/tex]
[tex]Area = \frac{1}{2} [-90 + -9(20)) - 10][/tex]
[tex]Area = \frac{1}{2} [-90 -180 - 10][/tex]
[tex]Area = \frac{1}{2} [-280][/tex]
The expression |-280| means absolute value of -280 and the value is 280
[tex]Area = \frac{1}{2} [-280][/tex]
[tex]Area = \frac{1}{2}* 280[/tex]
[tex]Area = 140[/tex]
Hence, the area of the triangle is 140
Scores of students: 30 35 40 45 50 6
No of students: 8 12 15 6 5 4.
find the median scores
and the modal score
Answer:
Scores of students:
Mean: 34.3
Mode: no mode
No. of students:
Mean: 8.3
Mode: no mode
Step-by-step explanation:
(for scores of students)
6, 30, 35, 40, 45, 50
Mean: 6 + 30 + 35 + 40 + 45 + 50 = 206/6 = 34.3
Mode: there are no mode in the set of data.
(for No. of students)
4, 5, 6, 8, 12, 15
Mean: 4 + 5 + 6 + 8 + 12 + 15 = 50/6 = 8.3
Mode: no mode
You are painting a door with a diamond shape shaped window as shown you have to put a tape around the edge of the window to keep the paint off find the length of tape you need to to the nearest inch
Answer:
104 inches
Step-by-step explanation:
No window dimensions are given. We might assume that the shape of the window can be defined by these coordinates:
(18,64), (28,40), (18,16), (8,40)
A graph of the points reveals the window to be a rhombus, so we can figure the length of one side to determine the lengths of all sides.
On edge of the window will have a length determined by the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
For (x1, y1) and (x2, y2) as (8, 40) and (18, 64), the edge length is ...
d = √((18 -8)^2 +(64 -40)^2) = √(10^2 +24^2) = √676
d = 26 . . . . . the length of one of the four edges
The total length of the four window edges is ...
4 × 26 = 104
104 inches of tape are needed.
On January 1, it was worth $8,474. On March 1, it was worth $3,323. During February, it decreased by $1,621. During January it decreased by
Answer:
Step-by-step explanation:
What are the solution's of x2-4=0
Answer:
x=2 or x=-2
Step-by-step explanation:
x2−4=0
Step 1: Add 4 to both sides.
x2−4+4=0+4
x2=4
Step 2: Take square root.
x=±√4
x=2 or x=−2
The question below is fill-in-the-blank. Be sure that you follow the instructions since it is computer graded. Either fill in the exact value you get from StatCrunch (no rounding) OR write your answer selection exactly as it is written.
A soft-drink company is conducting research to select a new design for the can. A random sample of participants has been selected. Instead of a typical taste test with two different sodas, they gave each participant the same soda in two different cans. One can was predominantly red, and the other predominantly blue. The order was chosen randomly. Participants were asked to rate each drink on a scale of 1 to 10. The data are recorded below and α=0.05.
Rater Red Blue
1 4 2
2 7 4
3 3 9
4 8 8
5 5 2
6 9 9
7 7 3
8 5 7
9 6 6
10 9 9
11 8 7
12 3 10
13 6 3
14 8 4
15 9 5
16 7 6
Does this sample indicate that there is a difference in the ratings based on can color? Test an appropriate hypothesis. Assume conditions have been met and that µd = red - blue
Hypotheses:
H0: µd=0; The mean difference of ratings is zero.
H0: µd (<, >, not equal to) 0; The mean difference of ratings is (greater than, less than, different than) zero.
Calculations: Type each value EXACTLY as they are given in StatCrunch
Mean:
Std. Err.:
DF:
T-Stat:
P-value:
Conclusion:Since the P-value is (low, high), we (reject, fail to reject) the null hypothesis. There (is/is not) sufficient evidence to suggest that can color (increases, reduces, changes) the average rating of the soda.
Answer:
Step-by-step explanation:
Hello!
The random sample of n= 16 participants was asked to taste test two different sodas cans and rate them on a scale from 1 to 10. The cans contained the same type of soda but differ in color.
Since each participant tasted and ranked the two types of soda cans, you have per person a pair of data (X₁;X₂):
Where
X₁: Rank given to the red soda.
X₂: Rank given to the blue soda.
As said, the data is arranged in pairs per experimental unit, so these two variables are dependent, to study them is best to determine a third variable, the difference between X₁ and X₂:
Xd: X₁ - X₂
Assuming Xd~N(μd;σd²)
The objective is to test if there is any difference between the ratings based on the can color. The statistic hypotheses are:
H₀: μd=0
H₁: μd≠0
To calculate the descriptive statistics you have to calculate first the difference of each pair of ratings (see table in attachment)
Mean:
X[bar]d= ∑Xd/n= -6/16= -0.38
Variance
[tex]S_d^2=\frac{1}{n-1} [sumX_d^2-\frac{(sumXd)^2}{n} ]= \frac{1}{15}[64-\frac{(-6)}{^16} ]= 4.12[/tex]
Standard deviation
Sd= √4.12= 2.03
Statistic [tex]t= \frac{X[bar]_d-Mu_d}{\frac{Sd}{\sqrt{n} } } ~~t_{n-1}[/tex]
Df: n-1= 16-10 15
[tex]t_{H_0}= \frac{-0.38-0}{\frac{2.03}{4} } = -0.74[/tex]
P-value:
P(t₁₅≤-0.74) + P(t₁₅≥0.74)= P(t₁₅≤-0.74) + (1 - P(t₁₅≤0.74))= 0.2354 + (1 - 0.7646)= 0.4708
The decision rule for the p-value approach is:
If p-value ≤ α, reject the null hypothesis.
If p-value > α, do not reject the null hypothesis.
α: 0.05
The p-value is greater than the level of significance, the decision is to not reject the null hypothesis.
At a 5% significance level, there is no significant evidence to reject the null hypothesis. You can conclude that there is no difference between the rankings of the red and blue cans. I.e. there is no evidence to suggest that the can color changes the average ranting of the soda.
I hope this helps!
What type of angels are <5 and <6?
Answer: Supplementary Angles
Step-by-step explanation:
∠5 and ∠6 are supplementary angles. If you look at their position, they are right next to each other. Both angles added together makes a straight line, which is 180°. Any 2 angles that make 180° are called supplementary angles.
A club raised 175% of its goal for a charity. The club raised $763. What was the goal?
Answer: The clubs goal is to raise $436.
Step-by-step explanation:
175% * x = 763 where x is the goal
1.75 *x = 763
1.75x = 763
x= 436
[tex]\$436[/tex]
A percentage is a number or ratio expressed as a fraction of [tex]\boldsymbol{100}[/tex]
Percentage of amount raised for charity [tex]=175\%[/tex]
Amount raised for charity [tex]=\$763[/tex]
Therefore,
[tex]175\%[/tex] of amount of goal [tex]=\$763[/tex]
[tex]\frac{175}{100}\times [/tex] Amount of goal [tex]=\$763[/tex]
Amount of goal [tex]=\frac{76300}{175} [/tex]
[tex]=\boldsymbol{\$436}[/tex]
For more information:
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What is the value of X?
Answer:
20
Step-by-step explanation:
When we use Pythagorean Theorem we get x² + 21² = 29² which means x = 20.
Answer:
B: 20
Step-by-step explanation:
By the pythagorean thereom, x^2+21^2=29^2. Solving gives X^2=29^2-21^2=400, so X=20.
A new American graduate is contemplating buying a Japanese, German, or an American car. No
matter the type of car, he plans to buy a new one at the end of 8 years.
Japanese car will cost $30,000 and have a fuel usage of 23 Miles Per gallon (mpg) for the first 2
years, and will decrease by 3% per year thereafter. Repair cost will start at $700 per year, and
increase by 3% per year. At the end of year 8, the car can be sold for $5000. Insurance cost will
be $700 for the first year, increasing by 2% per year thereafter.
Answer:
Japanese car
Step-by-step explanation:
Given
problem details in Attachment 1
Find
the most economical car
Solution
The attached spreadsheet shows the costs of repairs, insurance, and gas for each of the cars, using the cost factors described in the problem statement. (Numbers are displayed rounded to dollars.)
Mileage each year is assumed to be 150,000/8 = 18,750.
The "present value" line shows the present (year 0) value of the listed costs. The present value is the sum of values divided by 1.05^(year number). It is calculated using the spreadsheet NPV function.
The green total is the sum of present values to its right and the initial cost. The end value is subtracted after it is discounted by 1.05^8.
The Japanese car has the lowest present value.
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The third attachment is the spreadsheet in Open Office format.