If Rob receives $4,585.75 in annual dividends, the number of shares of Agram Imports that Rob owns is D. 441 shares.
What is a dividend?A dividend is the distribution of cash or stock that a company makes to its stockholders periodically.
Dividends are usually based on a dividend payout ratio, determined by the Board of Directors of the company.
Data and Calculations:Dowc Beverage Co. Agram Imports
Dividend per share $6.52 $5.15
Number of shares x x+ 86
Number of shares 355 (441 - 86) 441 (355 + 86)
Total dividend received $2,314.60 ($4,585.75 - $2,271.15)) $2,271.15
which is equivalent to $2,314.60 ($355 x $6.52)
Assuming total shares from Agram Imports to be 441, the total dividends will be $2,271.15 ($5.15 x 441), and, the dividend from Dowc Beverage Co. will be $2,314.60 and the number of shares will be 355 ($2,314.60/$6.52), which is 86 less than the shares in Agram Imports.
Thus, if Rob receives $4,585.75 in annual dividends, the number of shares of Agram Imports that Rob owns is D. 441 shares.
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1. How many ounces of pure salt must be added to 11oz of
40% salt solution to produce a 75% solution? (Pure salt is 100%.)
Round your answer to the nearest hundredth of an oz.
oz.
To produce a 75% solution, it is required to add a total of 3.85 ounces of pure salt to the initial solution.
How many ounces of salt are there in the initial solution?11 oz = 100x = 40x = 11 x 40 / 100x = 4.4 ozHow many ounces of salt need to be added?4.4 oz = 40x = 75x = 75 x 4.4 / 40x = 8.258.25 - 4.4 = 3.85 ouncesLearn more about ounces in: https://brainly.com/question/26950819
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(3x-5y)+(x+2y)? Someone help me. Will give brainliest
Answer: 4x - 3y (choice B)
===========================================================
Explanation:
The letter x is a variable, and a placeholder for a number. Which number? We don't know. It's basically a box where a number goes inside.
x represents having 1 box
2x is two boxes, and so on
If we add 3x and 1x, then we'll have four boxes and 3x+1x = 4x
We can only add the x terms together, which we consider to be called "like terms".
The y terms -5y and 2y are the other pair of like terms, which combine to -3y
If you want, you can draw a vertical number line. Start at -5 which is five units below zero. Then move up two spaces to arrive at -3. This is a visual way to demonstrate that -5+2 = -3, and by extension, -5y+2y = -3y
help me
?
10
450
15
675
20
900
Answer:
Y=45x
Step-by-step explanation:
Y = f(x)
If you plot a chart, you can find that relation is just a linear relation. So y = mx + c
By putting any one case into the equation, you can find c = 0 and m = 45
Retest the equation for other cases to ensure u are correct
Solve the system with
elimination.
x - y = 10
3x - 2y = 25
Answer:
Step-by-step explanation:
{x,y}={5,-5}
Cooper asked his classmates, "How many days do you floss your teeth in a
typical week?" The table shows Cooper's data.
Days of Flossing per Week
4
5
4 2
3
3
1
0
3
3
6
7
2
6
0
5
3
2
7
0
4
4
4
3 3
0
1
2
2
3
5 3
7
1
3
How many observations did he record?
OA. 40
OB. 35
OC. 30
D. 7
сл
Considering the given table, it is found that he recorded 35 observations, hence option B is correct.
How do we find the number of observations on the table?We have to look at the number of rows and columns the table. The table has 7 rows, each with 5 columns, hence the number of observations is given by:
N = 7 x 5 = 35.
Hence option B is correct.
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can someone help me
Answer:
S=49
Step-by-step explanation:
Any triangle has an interior angle of 180.
So just add them up and set the sum equal to 180 degrees.
2s+s+33=180
3s=180-33
3s=147 . Divide both sides by 3 to isolate variable s
s=49
Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans.
Plan A: Raise the price by $0.10 each week until the price reaches $12.00.
Plan B: Raise the price by 10 percent each week until the price reaches $12.00.
Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.00.
Plan D: Raise the price by $0.25 each week until the price reaches $12.00.
Which plan will result in the price of the feed reaching $12.00 fastest?
plan A
plan B
plan C
plan D
Answer:
B
Step-by-step explanation:
essentially the plan that increases the price the most per week reaches the goal of $12 fastest.
plan A is $0.10 per week.
plan B it is not clear, if it means 10% of the original price every week, or every week 10% of the price of the previous week. I assume the first and simplest.
that means 10% of $8 = $0.80 per week.
plan C : the same amount every week until reaching $12. we need to increase in total by $4 (from $8 to $12). to reach these $4 in 8 weeks, we need to increase the price every week by 4/8 = $0.50.
plan D : $0.25 per week.
so, the plan with the highest increase every week and therefore the fastest one reaching $12 is plan B.
Employees of the sports department at a television station want to measure the number of viewers for a particular exercise program. They call the homes of all the members of a nearby health club. Why might this be a biased sample?
A.The station does not include everyone in the viewing area.
B.The station does not include people all across the country.
C.People who belong to a health club may have many television sets in their homes.
D.People who belong to a health club may be more likely to watch an exercise program.
Answer:
d
Step-by-step explanation:
If tan x° = 6 divided by g and sin x° = 6 divided by h, what is the value of cos x°? cos x° = h divided by g cos x° = g divided by h cos x° = gh cos x° = 6g
The value of cos x⁰ from the information given is; g/h.
What is the value of cos x⁰?According to the task content;
The value of cos x° from the information contained in the task content is required.
From conventional Trigonometry;
It follows that tan x = sin x/cos x.
On this note, it follows that;
cos x⁰ = sin x⁰/tan x⁰.
cos x⁰ = 6/h ÷ 6/g
cos x⁰ = g/h
Ultimately, the value of Cos x⁰ by evaluation is g/h.
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Answer:
cos x° = g divided by h
Step-by-step explanation:
Students were asked how they traveled to school. The two-way relative frequency table
shows the results. Write answers as decimals rounded to the nearest hundredth.
Method
School
Car Bus Other TOTAL
Middle School 0.19 0.15 0.11
0.45
High School
0.33 0.13 0.09
0.55
TOTAL
0.52 0.28 0.20
1.00
What is the joint relative frequency of high school students who ride the bus?
The joint relative frequency of high school students who ride the bus is
Using the given proportions, it is found that the joint relative frequency of high school students who ride the bus is of 0.28.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The proportions relative to riding the bus in this problem are of 0.15 for middle school and 0.13 for high school, for a total of 0.28, hence, the joint relative frequency of high school students who ride the bus is of 0.28.
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8) The function f(t)=12(1.8) represents the number of rabbits in a forest after t years.
a) Does the function represent exponential growth or exponential decay?
b) Graph the function on a calculator. Describe the domain and range.
c) What is the yearly percent change?
d) How many rabbits are in the forest after 8 years?
Which of the three following graphs display the same data? i. a bar graph titled county voter turnout (thousands) has year on the x-axis and number on the y-axis. 1992, 99; 1996, 107; 2000, 103; 2004, 97; 2008, 98. ii. a line graph titled county voter turnout (thousands) has year on the x-axis and number on the y-axis. 1992, 99; 1996, 107; 2000, 103; 2004, 97; 2008, 98. iii. a circle graph titled county voter turnout (thousands). cuyahoga county, 99; maricopa county, 107; fort bend county, 103; susquehanna county, 97; clark county, 98. a. i and ii b. i and iii c. ii and iii d. i, ii, and iii
The graphs that display the same data are a. I and II
What is Data Representation?This refers to the different ways in which a set of data are displayed in a certain place such as a bar graph, frequency table, line graph, etc.
Hence, we can see that from the evaluation of the data, there is the use of the same data in I and II as the bar and line graphs contain the same country voter turnout.
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Answer:
a
Step-by-step explanation:
6. Which statement is justified by the
transitive property of equality?
F. (x+y)+ z = x + (y+z)
G. If 7x = 14, then 14 = 7x
H. If -3x = y, and y = 8z, then -3x = 8z
J. x(y-z) = xy - xz
Answer:
h
Step-by-step explanation:
Let $a_1, a_2, a_3,\dots$ be an arithmetic sequence. if $a_{23} = \dfrac23$ and $a_{53} = \dfrac32$, what is $a_{35}$?
Using an arithmetic sequence, it is found that the 35th value of the sequence is given by: [tex]a_{35} = 1[/tex].
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
Considering that we have the mth term as reference, the nth term is also given as follows:
[tex]a_n = a_m + (n - m)d[/tex]
In this problem, we have that:
[tex]a_{23} = \frac{2}{3}, a_{53} = \frac{3}{2}[/tex].
Hence:
[tex]a_n = a_m + (n - m)d[/tex]
[tex]a_{53} = a_{23} + (53 - 23)d[/tex]
[tex]30d = \frac{3}{2} - \frac{2}{3}[/tex]
[tex]30d = \frac{9 - 4}{6}[/tex]
[tex]30d = \frac{5}{6}[/tex]
[tex]d = \frac{1}{36}[/tex]
Then the 35th term is:
[tex]a_{35} = a_{23} + 12d = \frac{2}{3} + 12\frac{1}{36} = \frac{2}{3} + \frac{1}{3} = 1[/tex]
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Determine the square foot of logo 2 write it out in equation form I’ll give 100 points
Answer:
45 ft²
Step-by-step explanation:
Logo 2 comprises 5 congruent squares with side length 1/2 in
Given scale: 1 in = 6 ft
⇒ 1/2 in = 3 ft
Area of a square = s² (where s is the side length)
⇒ area of one of the squares of logo 2 = (3 ft)² = 9 ft²
Therefore, the total area is:
⇒ area = 5 × 9 ft² = 45 ft²
In equation form:
A = 5(6s)²
where:
A = area (in ft²)s = side length (in inches)help asap please!! <3
Answer:
y = -2x + 4 or y = -2(x - 2)
Step-by-step explanation:
Equation of Line AB
y = mx + cm = slopec = y-interceptFinding slope (m)
m = -2 - 6 / 3 + 1m = -8/4m = -2Finding c using point slope equation
c - 6 = -2(0 + 1)c - 6 = -2c = 4Equation
Line AB : y = -2x + 4 or y = -2(x - 2)Answer:
The easiest way to do this is to put the line into slope intercept form. This is equal to y = mx + b, where m is the slope and y is the intercept. I'm assuming the point at which the line intercepts the y axis is at (0, 4) The graph isn't numbered, so its hard to tell.
Assuming b = 4, we need to find m
Slope = rise / run
Or
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\[/tex]
Substitute -2 for y2, 6 for y1, 3 for x2 and -1 for x1
[tex]m = \frac{-2 - 6}{3 - -1}\\ m = \frac{-8}{4}\\m = -2[/tex]
Plug these values in and
[tex]y = -2x + 4[/tex]
When you graph this on desmos, the two points (-1, 6) and (3, -2) are on the graph. Therefore, I'm assuming the y intercept was in fact 4 :)
Ms. Garcia's garden is made up of 15 corn plants and 10 squash plants. What is the ratio of the number of corn plants to the number of squash plants in Ms. Garcia's garden?
options:
A. 1:3
b.2:3
c.3:2
d. 3:1
Otto used 5.5 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can
be used to find the value of y, the total amount of flour that Otto used in the recipe, and what are the
constraints on the values of x and y?
O y=5.5x; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 5.
O y=5.5x; x is any real number greater than or equal to 0, and y is any real number greater than or equal to
5.5.
O y=x+5.5; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 5.
O y=x+5.5; x is any real number greater than or equal to 0, and y is any real number greater than or equal to
5.5.
This situation of the recipe can be represented as y=x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.
What is the equation for this situation?It is known the total amount of flour (y) is equivalent to the total amount of whole wheat flour (5.5) added to the total white flour (x). Therefore, the equation is:
y = x + 5.5
The possible values are
x = It is expected x is equalthan 0 or greater to it since the minimum amount of white flour that can be added is 0.
y = It is expected y is equal than 5.5 or greater to it since even if no
white flour is added the minimum total is 5.5.
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Answer: y=x+5.5; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 5.5.
Given h(x) = −3 |x + 1| evaluate h (-3)
Need help this is for final’s study’s
Answer:
-6
Step-by-step explanation:
h(x) = −3 |x + 1| evaluate h (-3)
h (-3) means x = -3
Plug in:
h(x) = −3 |(-3) + 1| → h(x) = −3 |-3 + 1|
h(x) = −3 |-2| since -2 is an absolute value it becomes 2
h(x) = −3(2)
h(x) = -6
Let me know if you have anymore questions,
Good Luck studying :) YOU GOT THIS !!!
Alice and Amy decide to meet at a party. From a corner of the party hall, Amy spots Alice at the corner of the hall diagonally opposite her. If the party hall is a rectangle that measures 100 feet by 60 feet, what is the shortest distance Amy has to walk to reach Alice? Round your answer to the nearest foot.
A.
40 feet
B.
80 feet
C.
117 feet
D.
160 feet
Answer:
C) 117 Feet
Step-by-step explanation:
The question is ultimately asking for the hypotenuse of the rectangle. We can calculate that with a^2 + b^2 = c^2.
100^2+60^2=c^2
10000+3600=c^2
c^2=13600
c=116.6190379
Round --> 117
Thus the answer, C).
Factor the common factor out of each expression.
-8b+4
Answer:
Common Factor is 4.
Step-by-step explanation:
-8b + 4
Both have a 4 in it.
-8b + 4 / 4 = -2b
How to find area of 1 ???
Answer: 1 What???
Step-by-step explanation:
In American football, a touchdown scores 7 points, a field goal scores 3 points, and a safety scores 2 points. If a team scored a total of 24 points, how many combinations of plays is possible
The number of combinations of plays that is possible will be 2.
How to calculate the combination?Let the number of combinations be represented by x.
From the information given, we are informed that the touchdown scores 7 points, a field goal scores 3 points, and a safety scores 2 points.
Therefore, this will be:
7x + 3x + 2x = 24
12x = 24
x = 24/12
x = 2
Therefore, there are 2 combinations.
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Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
See below ~
Step-by-step explanation:
More revenue would be generated at $5 than $17 because on the graph, when the price is at $5, there is about $3750 in revenue compared to when the price is $17, the revenue is $2500.The company should sell their product at $10. At this price, the revenue they will make is $5,000.The domain is the possible intervals in which x lies. Therefore, the domain is : 0 ≤ p ≤ 20.Is a megabyte bigger than a gigabyte.
Answer:
NO!!! Megabytes AREN'T bigger than Gigabytes!
Step-by-step explanation:
Here's the table!
1 Kilobyte = 1,024 Bytes
1 Megabyte = 1,024 Kilobytes
1 Gigabyte = 1,024 Megabytes
1 Terabyte = 1,024 Gigabytes
From this we can see that Megabyte ISN'T bigger than Gigabyte
A guidance counselor reports that in a given semester, the probability that a student chooses art as an elective is 15 percent, the probability that a student chooses art or drama is 20 percent, and the probability that a student chooses both art and drama is 2 percent. what is the probability that a student chooses drama as an elective?
The probability that a student chooses drama as an elective is 7%.
What is the concept of probability?Probability is the study of the odds of obtaining each outcome of a random experiment. These odds are assigned the real numbers in the range between 0 and 1. Results closer to 1 are more likely to occur.
In this case, we can call:
A represents ArtD represents Drama.So, the information given was:
P(A) = 15%P(A or D) = 20%P(A and B) = 2%The formula will be:
P(A or D) = P(A) + P(D) - P(A and D)
So:
[tex]20\% = 15\% + P(D) - 2\%\\P(D) = 20\% - 15\% + 2\%\\P(D) = 7\%[/tex]
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A box is shaped like a rectangular prism. the base area of the box is 630 square centimetres, and the height is 20 centimetres. determine the volume of the box.
Answer:
12600 cm³
Step-by-step explanation:
The volume of a prism is the product of its base area and height:
V = Bh
__
For your prism, this product is ...
V = (630 cm²)(20 cm) = 12600 cm³
The volume of the box is 12600 cm³.
Graph the equation
x - y= -4
Answer:
y=x+4
Step-by-step explanation:
y intercept should be at positive 4 and a straight line going in the positive direction
3
x + 2
3
3
12
32
12
Solve for x.
Answer:
6
explanation
[tex]since \: they \: are \: similar \\ \frac{x + 2}{32} = \frac{3}{12} \\ crossmultiplying \\ 32 \times 3 = 12(x + 2) \\ 96= 12x + 24 \\ 12x = 96 - 24 \\ 12x = 72 \\ dividing \: bothsides \: y \: 12 \\ x = \frac{72}{12} \\ x = 6[/tex]
A push-cart vendor is selling sodas at the beach. partway into the day, he raises his
price per bottle by one quarter. after this price increase, the total dollar amount
collected for the day after selling n bottles at the new price is given by the following
equation:
t = 12 + 1.75n
according to this equation, how many bottles did the vendor sell today before raising the
price?
o a
8
ob.
12
c. 18
d. 21
Answer:
[tex]8[/tex].
Step-by-step explanation:
Notice that in equation for the total dollar amount collected ([tex]12+ 1.75\, n[/tex]), every additional bottle sold at the new price brings in [tex]1.75[/tex] dollars:
[tex]\begin{aligned}& 12 + 1.75\, n && \text{$n$ bottles at new price} \\ -\; & 12 + 1.75\, (n+1) && \text{$(n+1)$ bottles at new price} \\ =\; & 1.75\end{aligned}[/tex].
Therefore, the per-bottle price after the [tex]\$0.25[/tex] price increase would be [tex]\$1.75[/tex]. The per-bottle price before the price increase would be [tex]\$1.75 - \$0.25 = \$1.50[/tex].
Also notice that when [tex]n = 0[/tex], the total amount collected was [tex]t = 12 + 1.75\, n = 12[/tex]. In other words, the total amount collected was [tex]\$12[/tex] before any bottle was sold at the new price.
Thus, the vendor had collected [tex]\$12\![/tex] by selling at the initial price of [tex]\$1.50[/tex] per bottle. The number of bottles sold at that price would be:
[tex]\begin{aligned}\frac{12}{1.50} = 8\end{aligned}[/tex].
