Answer:
$83,781.90
Step-by-step explanation:
Dividend received each year is $83781.9
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
Number of shares= 5715
Yearly dividend of each share= $14.66
Now,
Total dividend of all shares
=5715*14.66
=83781.9
Therefore, by algebra the dividend will be $83781.9
More about the Algebra link is given below.
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Three roots of the polynomial equation x^4 - 4x^3 - 2x^2 + 12x + 9 = 0 are 3, -1, and -1. Explain why the forth root must be a real number. Find the forth root.
Hello,
This polynomial function has maximum 4 roots as the degree is 4
and their coefficients are all reals so if one root is a complex number, its conjugate is a root too.
As we know already 3 roots and none of them is a complex number, the fourth one is a real number
And their product is 9 = 3 * 1 * (-1) * (-3) as
[tex](x-x_1)(x-x_2)(x-x_3)(x-x_4)=x^4+...+x_1x_2x_3x_4[/tex]
(The constant term is 9, the product of the roots)
so the last root is -3
Thanks
The angle whose measure is StartFraction 3 pi Over 4 EndFraction terminates in quadrant II and its reference angle is for StartFraction pi Over 4 EndFraction. What are the reciprocal trigonometric function values for StartFraction 3 pi Over 4 EndFraction? Check all that apply.
Secant (StartFraction 3 pi Over 4 EndFraction) = negative one-half
Secant (StartFraction 3 pi Over 4 EndFraction) = negative StartRoot 2 EndRoot
Cosecant (StartFraction 3 pi Over 4 EndFraction) = negative StartRoot 2 EndRoot
Cotangent (StartFraction 3 pi Over 4 EndFraction) = negative 1
Cosecant (StartFraction 3 pi Over 4 EndFraction) = StartRoot 2 EndRoot
Answer:
Step-by-step explanation:
Answer:
B, D, and E
Step-by-step explanation:
Write 2x – 3y=8 as a function of x.
What is the quotient if the dividend is 2286 and the divisor is 6
Answer:
381
Step-by-step explanation:
2,286/6=381
Good luck!
Solve the following equation - 2(x-8)=18-3(5x+6)
Answer:
-2(x-8)=18-3(5x+6)
-2x+16=18-15x-18
-2x+15x=18-18+16
13x=16
X=16/13
Answer:
[tex]x=-\frac{16}{13}[/tex]
Step-by-step explanation:
[tex]-2(x-8)=18-3(5x+6)[/tex]
Start by distributing [tex]-2[/tex] into [tex](x-8)[/tex], and [tex]-3[/tex] into [tex](5x+6)[/tex]:
[tex]-2x+16=18-15x-18[/tex]
Combine like terms:
[tex]-2x+16=-15x[/tex]
Subtract [tex]16[/tex] from both sides of the equation:
[tex]-2x=-15x-16[/tex]
Add [tex]15x[/tex] to both sides of the equation:
[tex]-13x=16[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]-13[/tex]:
[tex]x=-\frac{16}{13}[/tex]
A wave travels 1/3 mile in 1/20 hour. At this rate, how far will the wave travel in 1 hour?
A wave will travel 6.7 mile in 1 hour.
Given that,
A wave travels 1/3 mile in 1/20 hour.
How to calculate the distance in given time?
To calculate the value of distance at time is given as,
Distance = Speed X Time
To given condition wave travels 1/3 mile in 1/20 hour,
We calculate,
⇒ [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{20}[/tex]
Divide a fraction by multiplying its reciprocal,
⇒ [tex]\frac{20}{3}[/tex]
⇒ [tex]6.66667[/tex]
⇒[tex]6.7[/tex] mile
So a wave will travel 6.7 mile in 1 hour.
Learn more about the distance at a given time visit:
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A sales person earns a commission of 435 for selling $2900 in merchandise what is the commission rate
Answer:
15%
Step-by-step explanation:
I'm just built like that
draw a diagram to show the ratio 5:3
Answer:
21
Step-by-step explanation:
How many possible solutions are ther to a linear equation in one variable
Answer:
Step-by-step explanation:
Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. resulting value on the right side will always be one greater than the value on the left side.
Answer:
Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. resulting value on the right side will always be one greater than the value on the left side.
Step-by-step explanation:
-3.7z = 11.6
What is z
Answer:
-116/37
Step-by-step explanation:
Answer:
z = -3.1
Step-by-step explanation:
just divide both sides by -3.7, you get z = -3.135
What is 0.0052% of 40000?
Rounded to the nearest hundredth.
Answer:
2.08
I just multiplied 0.0052% by 40000 on my calculator
If the measure of ZFGH is 64º and the measure of ZEGD is (4x+8)°, what is the value of x ?
Answer:
x = 14Step-by-step explanation:
∠EGD = ∠FGH
(4x+8)° = 64°
4x = 64 - 8
x = 56 / 4
x = 14
What is the lowest common multiple of 28 and 72
Answer:
504
Step-by-step explanation:
28, 72 | 2
14, 36 | 2
7, 18 | 2
7, 9 | 3
7, 3 | 3
7, 1 | 7
1, 1 | 1
MMC = 2 . 2 . 2 . 3 . 3 . 7 = 504
At an average rate of 38 miles an hour, how far can you travel in 4 hours?
a.
156 mi
b.
195 mi
c.
190 mi
d.
152 mi
What does -3/8 > −1 indicate about the positions of -3/8 and −1 on the number line?
-3/8 is located on the right of 0, and −1 is located on the left of 0
-3/8 is located on the left of 0, and −1 is located on the right of 0
-3/8 is located on the left of −1
-3/8 is located to the right of −1
Answer:
D
Step-by-step explanation:
because -3/8 is also a neg- so both answers would be on the left of (0) but -3/8 would be closer to (0) than 1 so that means it would be on the right of 1
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
28cm
Step-by-step explanation:
ive done this question before
Answer:
28 cm
Step-by-step explanation:
This is the answer because:
Perimeter = L + W + L + W
Area = L x W
1) Since the shape is a square, there has to be two of the same factors that multiply.
_ x _ = 49
2) We know 7 x 7 = 49, therefore, w just have to add 7 + 7 + 7 + 7 which equals 28 cm
Therefore, the answer is 28 cm
Hope this helps! :D
8. Three groups of 10 kids. The average weight of a kid in each
group is 35 kilograms. One more kid joined each group.
i) The average weight of a kid in the first group is still 35
kilograms.
The average weight of a kid in the second group is now
36 kilograms.
iii) The average weight of a kid in the third group is now
34 kilograms.
Compute the weight of the new kid in each group.
25
Answer: 385
Step-by-step explanation:
Mean the three groups of 10 kids=35
Total weight of 3 groups (10x35)=350
Mean weight of 3 groups and one boy ( 35 + 350)=385
Which meaning of marked most closely matches its meaning in the following
excerpt?
I need such words from you far more than you can need them from me,
especially where your superior labors and devotion to the cause of the lately
enslaved of our land are known as I know them. The difference between us is
very marked. Most that I have done and suffered in the service of our cause has
been in public...
O Al adjective l having a visible mark
OB. I adjectivel clearly noticeable and evident
C. I verb I make a visible stain
OD. I verb I show the position of
Answer: a
Step-by-step explanation:
Solve for x.
3/x+9=7/x+4
Answer:
x = 4/5
Step-by-step explanation:
Subtract 3/x+4, then multiply by x/5:
[tex]\dfrac{3}{x}+9=\dfrac{7}{x}+4\\\\5=\dfrac{4}{x}\\\\\boxed{x=\dfrac{4}{5}}[/tex]
_____
If you meant 3/(x+9) = 7/(x+4), you need to write it with parentheses around the denominator. (In that case, x=-12.75.)
the sum of the first 10 terms of an AP is four times the sum of the first 5 terms then the ratio of the first term to the common difference is
Answer:
The ratio of the first term to the common difference is 1 : 2
Step-by-step explanation:
The rule of the sum of the AP is
[tex]S_{n}=\frac{n}{2}[2a+(n-1)d][/tex] , where
a is the first number
d is the common difference
n is the position of the number
∵ [tex]S_{10}[/tex] = 4 × [tex]S_{5}[/tex] ⇒ (1)
→ Find [tex]S_{10}[/tex] and [tex]S_{5}[/tex]
∵ In [tex]S_{10}[/tex] n = 10
∴ [tex]S_{10}=\frac{10}{2}[2a+(10-1)d][/tex]
∴ [tex]S_{10}=5[2a+9d][/tex]
∴ [tex]S_{10}[/tex] = 10a + 45d ⇒ (2)
∵ In [tex]S_{5}[/tex] n = 5
∴ [tex]S_{5}=\frac{5}{2}[2a+(5-1)d][/tex]
∴ [tex]S_{5}=2.5[2a+4d][/tex]
∴ [tex]S_{5}[/tex] = 5a + 10d ⇒ (3)
→ Substitute (2) and (3) in (1)
∵ 10a + 45d = 4[5a + 10d]
∴ 10a +45d = 20a + 40d
→ Subtract 40d from both sides
∴ 10a + 45d - 40d = 20a + 40d - 40d
∴ 10a + 5d = 20a
→ Subtract 10a from both sides
∴ 10a - 10a + 5d = 20a - 10a
∴ 5d = 10a
→ Divide both sides by 5
∴ d = 2a
→ That means d is twice a or a is half d
∴ a : d = 1 : 2
The ratio of the first term to the common difference is 1 : 2
What is the solution to
3x + 7 = x + 13 ?
Answer:
x = 1.5
or
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
First, move +7 to the other side of equation on the answer side and change it to it's absolute (in this case I mean negative) value:
3x + x = 13 - 7
Next, Simplify the equation:
4x = 6
Finally, Celebrate! You just (hopefully) learned how to solve this!
x = 1.5
or
x = [tex]\frac{1}{2}[/tex]
Pls Brainliest! It would mean and help a lot! ; )
Sharon’s turtle
It’s from her backyard sometime in the last few hours according to her calculations the farthest the turtle could’ve gone is four blocks down the road and other direction you’re showing lives on the 112th block of time which equation can be used to find the black numbers that represent the farthest distance the turtle maybe
Answer:
Step-by-step explanation:
4
Answer:
|x-112|=4
So it’s B.
Match the words with their definitions.
1. Reasoning from a sample to a population.
2. Successive observations of a system or phenomenon do not produce exactly the same result.
3. An observation that differs considerably from the main body of the data.
4. The entire collection of objects or outcomes about which data are collected.
5. A subset of the population containing the observed objects or outcomes and the resulting data from these objects or outcomes.
A. Population
B. Sample
C. Statistical Inference
D. Variability
E. Outlier
Answer:
1. Statistical Inference
2. Variability.
3. Outlier.
4. Population.
5. Sample.
Step-by-step explanation:
1. Statistical Inference: Reasoning from a sample to a population. For example, the average common entrance score of all examinees (population l) in New York city or a business that collects data from a random sample of 100 consumers and recorded whether they are male or female.
2. Variability: Successive observations of a system or phenomenon do not produce exactly the same result. For instance, the distribution having the same value of mean can have varying variability.
3. Outlier: An observation that differs considerably from the main body of the data. For example, in the following scores 1, 2, 3, 4, 50, 5, 60; both 50 & 60 is an outlier.
4. Population: The entire collection of objects or outcomes about which data are collected. For example, the number of new born babies in a hospital, the total number of football players in a soccer league.
5. Sample: A subset of the population containing the observed objects or outcomes and the resulting data from these objects or outcomes. For example, the average height of girls in a class having a population of 10 boys and 20 girls.
Help please, if you know how to do it. Posting separate questions so you get more points,l thanks
9514 1404 393
Answer:
y = x^2 +x +1; (-1/2, 3/4)y = 3x^2 -15x +12; (-2, 54), (5, 12)y = -1/2x^2 +2x +5; (0, 5)Step-by-step explanation:
1. The graph looks like the vertex is at x = -1/2. So we can start with the equation y = (x +1/2)^2 +k. At x=0, this becomes 1 = 1/4 +k, or k = 3/4. The leading coefficient of 1 is consistent with the other points shown, so the equation is ...
y = (x +1/2)^2 +3/4 . . . . vertex is (-1/2, 3/4)
y = x^2 +x +1
__
2. The zeros appear to be at x=1 and x=4, so the factored form of the equation is ...
y = a(x -1)(x -4)
At x = 0, this is ...
12 = a(-1)(-4)
3 = a
So, the equation is ...
y = 3x^2 -15x +12
The values at the two points of interest are ...
y = 3(-2-1)(-2-4) = 54 . . . . point (-2, 54)
y = 3(5 -1)(5 -4) = 12 . . . . point (5, 12)
__
3. Using the vertex shown, the vertex form of the equation is ...
y = a(x -2)^2 +7
Filling in the point (-2, -1), we can find the value of a:
-1 = a(-2-2)^2 +7
-8 = 16a
a = -8/16 = -1/2
So, the equation is ...
y = -1/2x^2 +2x +5
For x=0, the y-value is 5. The y-intercept is (0, 5).
Answer:
9514 1404 393
y = x^2 +x +1; (-1/2, 3/4)
y = 3x^2 -15x +12; (-2, 54), (5, 12)
y = -1/2x^2 +2x +5; (0, 5)
1. The graph looks like the vertex is at x = -1/2. So we can start with the equation y = (x +1/2)^2 +k. At x=0, this becomes 1 = 1/4 +k, or k = 3/4. The leading coefficient of 1 is consistent with the other points shown, so the equation is ...
y = (x +1/2)^2 +3/4 . . . . vertex is (-1/2, 3/4)
y = x^2 +x +1
how do you convert 12 over 100 to a percentage
Answer:
12%
Step-by-step explanation:
A percent is any fraction with 100 as a denominator. So [tex]\frac{12}{100}[/tex] is the same as 12% and 4 over 100 is the same as 4%
Here's an easy was to remember, there are 100 pennies to make a dollar that like per-CENT it's out of 100.
Hope that helps and have a great day!
Answer:
12%
Step-by-step explanation:
your question isn't giving me an option to answer but do 12 divided by 100 and you get a decimal, then multiply it by 100 which will give you the percentage. In this case is would be 12%
I hope this helps:)
Place Value
Write down the value of the 9 in the number 79 813
Answer:
thousandths
hope this helpsss
The gross domestic product is?
Which is equivalent to this expression?
54x2y
·
6x
A monkey sits on a limb that is 25 ft above the ground. He swings up 10 ft, climbs up 6 ft more then jumps down 13 ft. How far off the ground is the monkey now?
A company handles an apartment building with 50 units. Experience has shown that if the rent for each of the units is $760 per month, all of the units will be filled, but 1 unit will become vacant for each $20 increase in this monthly rate. If the monthly cost of maintaining the apartment building is $12 per rented unit, what rent should be charged per month to maximize the profit?
Answer:
$100
Step-by-step explanation: