Answer:
Stock A: 1
Stock B: 1 and y=2
Stock C: 1, 7, 4
To maximize expected profit, you need to determine the amount to invest in stocks A, B, and C while considering the given constraints.
Explanation:To invest in each stock to maximize expected profit, we need to determine the amount to invest in stocks A, B, and C while considering the given constraints.
Let's denote the amount invested in stock A as x, in stock B as y, and in stock C as z.
The constraints are as follows:
At least $1,000 should be invested in each stock: x > $1,000, y > $1,000, z > $1,000No more than $7,000 should be invested in stock C: z < $7,000The amount invested in C should be less than 4 times the amount invested in A: z < 4xThe amount invested in B should be less than twice the amount invested in A: y < 2xTo maximize expected profit, we need to maximize the sum of the expected returns from each stock:
Expected profit = 0.04x + 0.05y + 0.06z
By solving the constraints and optimizing the expected profit function, we can find the optimal values for x, y, and z.
If a recipe requires 3/4 cup of water and Lisa wants to make only 1/3 of the recipe.how many cups of water should she use?
I got the answer 1/4 but I just want to make sure it’s right
a bonsai tree grows 0.056 cm per year. If the tree is currently 10 cm tall, how tall will it be 5 years from now?
plz help me asap!!!!
Use a 10-square model to solve. What percent of 80 is 40?
A group of people were asked if they enjoy going to concerts or movies.
The table shows the probabilities of the results.
Answer:
Option: B is the correct answer.
Enjoying movies and concerts are not independent since,
[tex]P(movies|concerts)\neq P(movies)[/tex]
and [tex]P(concerts|movies)\neq P(concerts)[/tex]
Step-by-step explanation:
We know that if two events A and B are independent then:
[tex]P(A\bigcap B)=P(A)\times P(B)[/tex]
where P denote the probability of an event.
Now, we know that:
[tex]P(movies|concerts)=\dfrac{P(movies\bigcap Concerts)}{P(concerts)}[/tex]
Similarly:
[tex]P(concerts|movies)=\dfrac{P(movies\bigcap Concerts)}{P(movies)}[/tex]
If movies and concerts are independent then:
[tex]P(movies|concerts)=P(movies)[/tex]
Similarly:
[tex]P(concerts|movies)=P(concerts)[/tex]
We have:
[tex]P(movies)=0.6[/tex]
[tex]P(concerts)=0.55[/tex]
[tex]P(concerts|movies)=\dfrac{0.25}{0.6}[/tex]
[tex]P(movies|concerts)=\dfrac{0.25}{0.55}[/tex]
Hence,
Enjoying movies and concerts are not independent
Since,
[tex]P(movies|concerts)\neq P(movies)[/tex]
and [tex]P(concerts|movies)\neq P(concerts)[/tex]
what is the slope of the line through (-2,3) and (1,1)?
This table shows the size, in acres, of four large water parks. What is the median of the sizes of the four water parks? 60 acres 63 acres 64 acres 65 acres Park Size (in Acres) A 66 B 70 C 60 D 60
The median size of the four water parks, given as 66, 70, 60, 60 acres, is 63 acres.
Explanation:To find the median of the sizes of the four water parks, we first need to list the sizes in ascending order. Given the sizes are 66, 70, 60, 60, the arranged list becomes 60, 60, 66, 70.
As there are four numbers, the median is the average of the middle two numbers. So by adding 60 and 66 and then dividing by 2, we find that the median size of the water parks is 63 acres.
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Find the greatest common factor for the list of terms 110x3, 30x4,60x8
if f(x)=x/2 and g(x) = x-3,what is the value of g(f(8))
PLEASE someone do this math EASY picture attached
Answer:
5/18
Step-by-step explanation:
5/8 ÷ 3/2
switch 3/2 to 2/3
5/12 × 2/3
10/36 divide each 2 5/18
When 54 is added to a number the result is the same as when the number is multiplied by 3. What is the number? Show working out.
if y=q x 5,and if q=10,then what is y?
a.2
b.5
c.30
d.50
The value of y is 50
Using the expression given:
y = q × 5 q = 10substitute the value of q into the expression
Now we have :
y = 10 × 5
y = 50
Hence, the value of y is 50
social security number contains nine digits 0 0 0 0 0 0 0 0 0 how many different Social Security numbers can be formed using in a in a numerals from 0-9
1,000,000,000 social Security numbers can be formed using the numerals 0-9.
What is combination?A combination is grouping or sub-setting of items from a set where the order in which the selection is being made does not matter.
The formula for combination is:[tex]^{n}C_r = \frac{n!}{(n-r)!r!}[/tex]
where, n = Total number of items to be selected from.
r = Number of items to be selected.
According to the given problem,
Social security number contains nine digits.
A digit can be any number between 0-9.
For the first digit there are 10 choices which is 0-9 and the amount of numbers to be chosen is 1.
Thus there are [tex]^{10}C_{1}[/tex] ways for filling up first spot.
Similarly for the second digit , numbers available are 10 and numbers to be chosen is 9.
Thus there are [tex]^{10}C_{1}[/tex] ways for achieving this.
Same for third, fourth .. . . ninth digit.
Using the formula of combination, total number of ways would be,
= [tex]9 ~times~~ ^{10}C_{1}[/tex]
= [tex](\frac{10!}{1!\times (10-1)!})^9[/tex]
= 1000,000,000 ways
Hence we can conclude that there are 1000,000,000 ways of choosing 10 numbers from 0 to 9 for nine spots.
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Paul wrote a check to the dentist for $345.69. He’ll use the check register to record his transaction. What will be his new balance?
Answer:
The answer is $704.73
Step-by-step explanation:
Answer:
The answer is A. $704.73
Step-by-step explanation:
a $1,400 loan has a simple annual interest rate 4%. how much simple interest is paid on the loan for 1 year?
The simple interest paid on a $1,400 loan with an annual interest rate of 4% for 1 year is $56.
Explanation:The subject of your question is simple interest calculation. The formula for calculating simple interest is: principal amount x interest rate x time. You are asked to calculate the simple interest paid on a $1,400 loan with an annual interest rate of 4% for 1 year. Let's proceed step-by-step:
Convert the interest rate of 4% to a decimal by dividing by 100. So, 4/100 = 0.04.The time is 1 year, so you don't need to convert it.Substitute the values into the simple interest formula. Therefore, the simple interest is: $1,400 x 0.04 x 1 = $56.So, the simple interest paid on the loan for 1 year is $56.
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The first military strike of the Civil War was at
Bull Run
Lexington
Fort Sumter
Gettysburg
Line segment AB has endpoints A(10, 4) and B(2, 8). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:4.
The coordinates of the point that divides the line segment AB in the ratio of 1:4 are (8, 6).
Explanation:To find the coordinates of the point that divides the line segment AB in the ratio of 1:4, we can use the formula:
x = (x1 + 1/n * (4 * x2)) / (1 + 1/n)
y = (y1 + 1/n * (4 * y2)) / (1 + 1/n)
Substituting the given coordinates into the formula, we have:
x = (10 + 1/4 * (4 * 2)) / (1 + 1/4) = 8
y = (4 + 1/4 * (4 * 8)) / (1 + 1/4) = 6
Therefore, the coordinates of the point that divides the line segment AB in the ratio of 1:4 are (8, 6).
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Help I don’t understand this
((cosx)/(1+sinx))+((1+sinx)/(cosx)=2secx
Jason is covering an ottoman with fabric. The ottoman is in the shape of a rectangular prism that is 37 cm long, 21 wide, and 30 cm high. How much fabric is needed to cover the sides and top of the ottoman? Explain your strategy.
Final answer:
Jason needs 4,257 square centimeters of fabric to cover the sides and top of his rectangular prism shaped ottoman, calculated by finding the area of each side and adding them together.
Explanation:
To calculate the amount of fabric needed to cover the sides and top of a rectangular prism shaped ottoman with dimensions 37 cm in length, 21 cm in width, and 30 cm in height, we start by determining the surface area of the ottoman that needs covering. We ignore the bottom surface, assuming the ottoman sits directly on the floor.
First, calculate the area of each side:
Top/bottom surface (only top applies here) = length × width = 37 cm × 21 cm = 777 cm²
Front/back surface = length × height = 37 cm × 30 cm = 1,110 cm² (two sides, so × 2)
Left/right side = width × height = 21 cm × 30 cm = 630 cm² (two sides, so × 2)
Next, add all the calculated areas together:
777 cm² (top) + 2,220 cm² (front/back) + 1,260 cm² (left/right) = 4,257 cm²
Therefore, Jason needs 4,257 square centimeters of fabric to cover the sides and top of the ottoman.
The table below shows the deliveries for Floral World for the week. What is the mean, or average, number of deliveries per day?
Answer:
The average number of deliveries per day is 16 deliveries.
Step-by-step explanation:
The mean of a data set is the average value within it. Means are used as a way of describing data and finding the central tendency. To calculate the mean of a data set, add all values of all data points, then divide the resulting number by the amount of data points.
13 + 15 + 17 + 19 + 16 = 80
80 / 5 = 16
So, the average number of deliveries made per day by Floral World is 16 deliveries.
at davidson's bike rentals it cost $42 to rent a bike for 8 hours. how many hours of bike use does a customer get per dollar?
A rectangle field is five times as long as it is wide. If the perimeter of the field is 288 yards, what are the field's dimensions?
Owen’s math book weighs 2 pounds 13 ounces. His science book weighs 1 pound 15 ounces. His backpack weighs 1 pound 1 ounce. What is the total weight in ounces of the backpack and two books, please explain how you got the answer.
Plzz help me asap i need help
I willgive brainliest
Mary and Jerry are exercising on a track
-Mary is walking at a rate of 3 miles per hour
-Jerry starts jogging at a rate of 4 miles per hour after Mary has been walking for 15 minutes
-Jerry jogs 2 miles as Mary continues walking and they both stop at the same time
Enter the total distance, in miles, that Mary walks around the track
Answer:
2.25
Step-by-step explanation:
Mary walks for 15 mins which is 0.75 mi. Jerry then starts jogging for 2 miles which is 30 minutes because he is jogging at 4 mph. This means Mary walked for 30 minutes which is 1.5 mi.
0.75+1.5=2.25
A number m minus 3 is more than -4
log base 6 (2x+1) = log base 6 (x-3) + log base 6 (x+5)
In 2/3 of a hour, workers had installed 2/5 of a foor. At the rate,what fraction of the flooring is finished after 1 hour?
Please help choose the best answer x/-4 >6
A: x <-24
B: x >-24
C: x < 10
D: x > 2