Neuer started a systematic investment program by buying $200.00 with of mutual funds on the first day of every month starting on February 1. When you purchase mutual funds, you purchase units in the fund. Neuer purchased as many units as he could with his $200.00, including fractions of units. Unit prices for the first six months were $10.00, $10.60, $11.25, $9.50, $9.20 and $12.15 respectively.
(a) What is the simple average of the unit prices?
(b) What is the total number of units purchased during the first six months (Correct to three decimals)?
(c) What is the average cost of the units purchased?
(d) What is the value of Neuer's mutual fund holdings on July 31 if the unit price on that date is $11.90?
Answers
a) The simple average of the unit prices is $10.45.
b) The total number of units purchased during the first six months is 115.898 units.
c) The average cost of the units purchased is $10.35.
d) The value of Neuer's mutual fund holdings on July 31, if the unit price on that date is $11.90, is $1,379.19.
What is an average?An average refers to the mean of a data set.
The average is computed as the total value divided by the number of values in the data set.
Data and Calculations:Month Unit Price Total Value Units
February $10.00 $200 20.000
March 10.60 200 18.868
April 11.25 200 17.778
May 9.50 200 21.052
June 9.20 200 21.739
July 12.15 200 16.461
Total prices $62.70 $1,200 115.898
Simple Average = $10.45 ($62.70/6)
The average cost of the purchased units = $10.354 ($1,200/115.898)
Thus, the value of Neuer's mutual fund holdings on July 31, if the unit price on that date is $11.90, is $1,379.19 (115.898 x $11.90).
Learn more about the average at https://brainly.com/question/1136789
#SPJ1
Related Questions
What the answer to x?
Answers
The answer to x in the similar triangles is (a) x = 8
How to determine the answer to x?From the question, we have the figure that can be used in our computation:
In the figure, we can see that the shapes are triangles
These triangles are similar triangles
On these equivalent triangles, we have the following ratios:
10 : 22 = 3x + 1 : 7x - 1
Express as fractions
This gives
10/22 = 3x + 1/7x - 1
Simplify
5/11 = 3x + 1/7x - 1
Cross multiply
5(7x - 1) = 11(3x + 1)
Open the brackets
35x - 5 = 33x + 11
Evaluate the like terms
2x = 16
Divide by 2
x = 8
Hence, the value of x is 8
Read more about similar triangles at
https://brainly.com/question/14285697
#SPJ1
The one-to-one functions g and h are defined as follows.g(x) = -2x-13h=(-7 -2) (8)12I
Answers
We have to remember that in one-to-one functions each element of the domain maps to a different element in the range.
When we have a bijection we have that each element in the set A, for example, corresponds to exactly one element of B, and vice versa.
When we have a bijection, we also have an inverse function.
Then, we have that:
\(g(x)=-2x-13\)To find the inverse, we have to interchange the variables:
\(y=-2x-13\)Now, we have:
\(x=-2y-13\)And we need to solve for y:
1. Add 13 to both sides of the equation:
\(x+13=-2y-13+13\Rightarrow x+13=-2y\)2. Divide both sides by -2:
\(\frac{(x+13)}{-2}=\frac{-2y}{-2}\Rightarrow-\frac{(x+13)}{2}=y\)Then, we have that:
\(g^{-1}(x)=-\frac{(x+13)}{2}\)We can check this if we make a composition between the two functions (then we will get x as a result).
\((g^{-1}\circ g)=g^{-1}(g(x))=-\frac{((-2x-13)+13)_{}}{2}=-\frac{(-2x)}{2}=\frac{2x}{2}=x\)Then, we have that the result for this composition is equal to x. Thus:
\((g^{-1}\circ g)(-3)=-3^{}\)We also have that:
We have that h(4) = 3, then h^(-1)(3) = 4 or
\(h(4)=3\Rightarrow h^{-1}(3)=4\)In summary, we have:
\(g^{-1}(x)=-\frac{(x+13)}{2}\)\((g^{-1}\circ g)(-3)=-3\)\(h^{-1}(3)=4\)
What else would need to be congruent to show that. abc xyz by aas
Answers
Which line plot displays a data set with an outlier?
giving out 20 points and please no gussing
Answers
Answer:
the one on the bottom left, with 23 all by its lonesome
Step-by-step explanation:
9c + 1 = 10 what is the answer the algebra way?
Answers
Answer:
c=1
Step-by-step explanation:
subtract 1 with 10, outcome is 1. subtract both sides by 9 to deduct the 9. and you get 1
Answer:
c = 1
Step-by-step explanation:
The algebra way is to isolate the variable c, and solve for it. The image below shows step-by-step on how to solve it.
Hope this helps! :)
How many solutions does the system have? { y = − 3 x + 9 3 y = − 9 x + 9 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ y=−3x+9 3y=−9x+9
Answers
Answer:
Step-by-step explanation:
I cant see the full equation
About 217,000 high school students took the AP Statistics exam in 2017. The free-response section of the exam consisted of five open-ended problems and an investigative task. Each free-response question is scored on a 0 to 4 scale (with 4 being the best). For one of the problems, a random sample of 30 student papers yielded a mean score of x =1.267 and a standard deviation of 1.230. a. Find and interpret the standard error of the mean. b. Construct and interpret a 90% confidence interval to estimate the true mean score on this question.
Answers
The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.
What is a confidence interval?The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.
The confidence interval formula is \(\bar x\pm t\frac{s}{\sqrt{n}}\).
Where, \(\bar x\) is the sample mean, t is the critical value, n is the sample size and s is the standard deviation for the sample.
Here,
\(\bar x\) =1.267, s=1.23, n=30
The standard error is Se= 1.23/√30
= 0.2246
Item a:
The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.
Item b:
Using a t-distribution calculator, considering a confidence level of 0.99 with 30 - 1 = 29 df, the critical value is t = 2.7564.
\(\bar x\pm tS_c\)
\(\bar x+ tS_c\) =1.267-2.7564(0.2246) =0.6479
\(\bar x- tS_c\) =1.267+2.7564(0.2246) =1.8861
Therefore, the 99% confidence interval to estimate the true mean score on this question is (0.6479, 1.8861). It means that we are 99% that the true mean score of all students in this question is between 0.6479 and 1.8861.
To learn more about the confidence interval visit:
https://brainly.com/question/14041846.
#SPJ1
Select three ratios that are equivalent to 6:16
Answers
Answer:
12:38
3:8
24:44
Step-by-step explanation:
al the numbers are multiples equally
Answer:
3:8
Step-by-step explanation:
i dont know how
how i just know
giving brainliest to whomever answers correctly!
Answers
Answer:
B: A systematic random sample
Step-by-step explanation:
Systematic sampling is a type of probability sampling in which members of a larger population are chosen at random from a larger population but at a fixed, periodic interval. This interval, also known as the sampling interval, is calculated by dividing the population size by the sample size desired. Despite the fact that the sample population is chosen in advance, systematic sampling is still considered random if the periodic interval is set in advance and the starting point is chosen at random.
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
Adding and subtracting rational expression
What is the sun if the rational expressions
2x+3/3X + x/x+1
A. 2x^2+3
3x^2+3x
B. 3x+3
4x+1
C. 5x^2+5x+3
3x^2+3x
D. 3x^2+2x+4
4x+1
Answers
Answer:
C
Step-by-step explanation:
Use cross multiplication method to find the answer:
\(\frac{2x+3}{3x} +\frac{x}{x+1} = \frac{(2x^2+5x+3) + (3x^2)}{2x^2+3x} = \frac{5x^2+5x+3}{3x^2+3x} \)
what led to the development of the aviation industry
a. the development of texas’ wwII aircraft training facilities
b. the placement of the johnson space center
c. the petrochemicals industry
d. texas’ location and climate
Answers
Texas' location and climate led to the development of the aviation industry.
What is the significance of Texas in the development of the aviation industry?
The development of the aviation industry in Texas can be attributed to its favorable geographical location and climate. Texas is located in the southern part of the United States, making it a strategic location for air travel between the east and west coasts of the country. Additionally, its warm and dry climate provided ideal conditions for flight testing and training.
Reason what led to the development of the aviation industry :
Texas has a long history of aviation, with the Wright brothers conducting one of their earliest flight demonstrations in the state in 1910. The establishment of military bases during World War II and the subsequent development of aircraft training facilities in Texas further fueled the growth of the aviation industry in the state. Additionally, the placement of the Johnson Space Center in Houston helped to establish Texas as a hub for aerospace research and development. However, it is Texas' favorable location and climate that truly made it a prime location for the aviation industry. Its central location made it a strategic location for air travel and logistics, while its warm and dry climate provided ideal conditions for flight testing and training. Today, Texas remains one of the top states for aviation and aerospace industries, with major airports, aircraft manufacturers, and research institutions located throughout the state.
Therefore, option (d) is correct.
To know more about industry visit :
brainly.com/question/7721379
#SPJ1
What is the measure of angle AXG
Answers
Answer:
180°
Step-by-step explanation:
it's half of a circle
The angle AXG is a straight line. The measure of a straight line would be 180
The measure is 180
Which inequality is graphed below?
-6
-5
Ox≤-2
Ο x > - 2
Stry
x < -2
Ox>-2
-2
Answers
The inequality graphed on the number line is the one on the fourth option, we will get:
x > -2
Which inequality is graphed on the number line?On the number line we can see that we have an open circle at x = -2 (that means that x = -2 is not a solution to the inequality) and then a line that extends to the right side of that value.
Then the inequality is just the set of all numbers larger than -2, then we will get:
x > -2
That is the graphed inequality, and thus, the correct option is the last one.
Learn more about inequalities at:
https://brainly.com/question/24372553
#SPJ1
Jason watched a caterpillar move 10 feet in 2 minutes. Jason says that the caterpillar's unit rate is 0.2 feet per minute, Is Json correct? Explain.
Answers
10/2 =5 feet
5 feet in 1 minute is the unit rate
If the unit rate was 0.2 then the Caterpillar would have moved 0.4 feet in 2 minutes not 10 feet
What is the slope of the line?
Answers
Answer:
1
Step-by-step explanation:
slope (k) is the rise over run of the line
a way of finding the slope if you have two dots of the line is:
\(k \: = \frac{y2 - y2}{x2 - x2} \)
here the dots that belong to the line that you can most easily see are:
A(-6,0)
B(0,6)
by inserting the values into the euquation you get:
\( \frac{6 - 0}{0 - ( - 6)} = \frac{6}{6} = 1\)
good luck with your maths solving
1) Find the perimeter of the composite figure below. . , .2) Choose of the shapes and find the area. . , .3) Choose of the objects and find the volume. . , .
Answers
Answer
1) 38 cm
2) 35 ft²
3) 2048 ft³
Step-by-step explanation
1) First, we need to find the length of the missing sides, as follows:
The perimeter, P, of the figure is obtained by adding the lengths of all its sides, as follows:
\(\begin{gathered} P=10+9+4+7+6+2 \\ P=38\text{ cm} \end{gathered}\)2) Choosing the triangle, its area is calculated as follows:
\(A=\frac{b\times h}{2}\)where b is the base and h is the height of the triangle.
Substituting b = 14 ft and h = 5 ft, we get:
\(\begin{gathered} A=\frac{14\times5}{2} \\ A=35\text{ ft}^2 \end{gathered}\)3) Choosing the rectangular pyramid, its volume is calculated as follows:
\(V=\frac{lwh}{3}\)where l is the base length, w is the base width, and h is the pyramid height
Substituting l = 32 ft, w = 12 ft, and h = 16 ft, we get:
\(\begin{gathered} V=\frac{32\times12\times16}{3} \\ V=2048\text{ ft}^3 \end{gathered}\)
what is the sum?
7z+9 ≤ 23
Answers
Hence , the value of z in given expression is 2 .
An expression in science may be a sentence with a minimum of 2 numbers/variables and a minimum of one science operation in it.An expression may be a combination of terms that area unit combined by victimisation mathematical operations like subtraction, addition, multiplication, and division.The terms concerned in Associate in Nursing expression in science are:Constant: a relentless may be a mounted numerical price. Variable: A variable may be a image that does not have a set price.Term: A term are often one constant, one variable, or a mixture of a variable and a relentless combined with multiplication or division.Coefficient: A constant may be a variety that's increased by a variable in Associate in Nursing expression.
We have given an expression 7z+9 ≤ 23 .
On solving , we get
7z ≤ 23 - 9
7z ≤ 14
z ≤ 14 / 7
z ≤ 2
Learn more about solve here :
https://brainly.com/question/26310043
#SPJ1
The complete question is given below :
Solve 7z+9 ≤ 23
Solve the proportion for b.
54
=
812
b = [?]
![Solve the proportion for b.54=812b = [?]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/Zv1ShcM1loG7r2cnpKsGBoUUouRTECYF.png)
Answers
8/2 = 16/4
Multiply 2 for each sides
Answer:
Step-by-step explanation:
b = 8/2 *4
b = 16
Using digits 1to 9 fill in the boxes once write largest and smallest absolute value. Then find the decimal equivalent.
Answers
The decimal equivalent of the largest Absolute value, 987654321, is 987,654,321. the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.
The largest and smallest absolute values using the digits 1 to 9, we need to arrange them in a way that maximizes or minimizes the resulting number. Let's consider the boxes as placeholders for the digits.
To determine the largest absolute value:
We place the digit 9 in the leftmost box, as it is the largest digit among 1 to 9. Then we arrange the remaining digits, 8, 7, 6, 5, 4, 3, 2, and 1, from largest to smallest in the remaining boxes. This gives us the number 987654321, which is the largest possible number using the given digits. Therefore, the largest absolute value is 987654321.
To determine the smallest absolute value:
We place the digit 1 in the leftmost box, as it is the smallest digit among 1 to 9. Then we arrange the remaining digits, 2, 3, 4, 5, 6, 7, 8, and 9, from smallest to largest in the remaining boxes. This gives us the number 123456789, which is the smallest possible number using the given digits. Therefore, the smallest absolute value is 123456789.
To find the decimal equivalent of these numbers, we simply read the digits from left to right. The decimal equivalent of the largest absolute value, 987654321, is 987,654,321. The decimal equivalent of the smallest absolute value, 123456789, is 123,456,789.
Thus, the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.
To know more about Absolute value.
https://brainly.com/question/24368848
#SPJ8
302.406 + 7,710.826 What is the sum?
Answers
Hi! I believe your answer is 8,013.232. The work is shown below. I hope this helps you! Good luck and have a great day. ❤️✨
Answer:
302.406+7710.826
=8013.232
x2 - 3|x - 2| - 4x = - 6
Solve for x
Answers
Answer:
if that is x^2 -3|x-2|-4x=-6, then this should be the answer other wise it would be a biiiit diffrent
Step-by-step explanation:
A line with a slope of 4 passes through
the point (2, 1). What is the equation of
this line?
Answers
Answer:
y = 4x - 7
Step-by-step explanation:
Slope = 4 ; x1 = 2 , y1 = 1
Slope point form: y -y1 = m(x -x1)
y - 1 = 4(x - 2)
y - 1 = 4x - 2*4
y -1 = 4x - 8
y = 4x - 8 +1
y = 4x - 7
____ is the additional sum of money expected from an investment over and above the orginal investments.
Answers
Answer:
interest is the additional sum of money
In AIJK, the measure of ZK=90°, JI = 5, KJ = 4, and IK = 3. What is the value of the
tangent of I to the nearest hundredth?
Answers
Answer:
50 degree
Step-by-step explanation:
brainliest de do bhai
Beginning at sunrise, the temperature rose 2.4 degrees per hour. How long did it
take for the temperature to rise a total of 20.46 degrees?
HELP ME PLSSS
Answers
Answer:
≈ 8.5 hours
Step-by-step explanation:
Temperature rise is
2.4 degrees per hourTotal temperature rise is
20.46 degreesTime = 20.46/2.4 = 8.525 hours ≈ 8.5 hours
Answer:
8.5 hours
Step-by-step explanation:
20.46 / 2.4 is 8.525 so I rounded and got 8.5.
A distribution with three or more peaks is said to be
Answers
When a distribution has three or more peaks then it is said to be a multimodal distribution .
What are the types of distributions ?In histograms, there are often three types of distributions which are classified according to the number of peaks that they have . A unimodal distribution would be a histogram that has a single peak in its distribution .
Then there are binomial distributions which boast of having two peaks , Then finally, there is the multimodal distribution which is for all distributions with either three peaks, or more than that .
Find out more on distributions at https://brainly.com/question/13244416
#SPJ1
A bakery has 17 pounds of flour that they want to put into four containers they put the same amount of flour in each container if they want to use up all the flour how much flour should they put in each container?
Answers
The amount of flour to go into the containers would be 4.25 pounds of flour each
How to solve for the flour quantityThe amount of flour that would be put in each container would be
How to solve for the amount of flour
The weight of flour to be put in the containers is = 17 pounds
The number of containers is given as 4
The question told us already that the same same amount of flour in each container
To get the exact same amount of flour going in to the containers we would then have to divide the flour by the containers
Hence we have 17 / 4
= 4.25
Read more on unit values here:https://brainly.com/question/322270
#SPJ1
A 10 kg ball moves at a speed of 15m/s. The ball collides with a wall causing it to rebound in the opposite direction at a speed of 23 m/s.
Calculate the impulse on the ball?
Answers
Answer:
The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.
The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.
So, the impulse on the ball is -80 kg m/s.
Getsteludydykoydkzkysdykykykd.
The perimeter of a regular heptagon is 21 m. How long is each side?
5 m
2 m
3 m
4 m
Answers
Answer:
3m
Step-by-step explanation:
A heptagon has 7 sides so 21÷7=3m
Answer:
3m
Step-by-step explanation:
3m X 7 is 21m
make me brainlist.
I dont get this question equation
y=0.5 (6) - 4
I know that 0.5 is equivalent to 1/2 but I just don’t get this question
Answers
To solve the equation, you first need to simplify 0.5(6) to get 3, since 0.5 is equivalent to 1/2 and multiplying 6 by 1/2 gives you 3. So the equation becomes:
y = 3 - 4
Next, you need to subtract 4 from 3 to get -1. So the solution to the equation is:
y = -1
Therefore, when the value of the independent variable is 6, the value of the dependent variable is -1.
Answer
\(\pink\sf{y=-1}\)
Step-by-step explanation
I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).
We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:
\(\sf{y=3-4}\)
And now we just simplify the last part:
\(\sf{y=-1}\)
∴ answer: y = -1