9514 1404 393
Answer:
$4000
Step-by-step explanation:
The problem tells you the relation between commission (c) and stock value (v) is ...
c = 10 + 0.025v . . . . $10 + .025 of the value traded
We want to find the value (v) for the given commission (c=110). We can put these numbers into the formula and solve for v:
110 = 10 + 0.025v
100 = 0.025v . . . . . . . subtract 10
100/0.025 = v = 4000 . . . . divide by the coefficient of v
The value of stock traded was $4000.
_____
Additional comment
As always, you start by reading and comprehending the problem. You look for what is being asked for, what is being given, and any information that relates one to the other.
Here, the value of stock traded is asked for, the amount of commission is given, and a description of the relation of one to the other is provided. Translate that description to an equation, fill in the given value, and solve for the unknown. (That's what we did above.)
__
You can also work this in your head. The commission is $10 more than some fraction of the amount traded. Since the commission is $110, only $100 of that is the fraction of the amount traded. With a little experience, you can recognize the fraction 0.025 as being 1/40. That means $100 is 1/40 of the value traded, or the value traded is 40 × $100 = $4000.
A person has decided to construct a frequency distribution for a set of data containing 100 numbers. The lowest number is 20 and the highest number is 80. If 5 classes are used, the class width should be approximately _______.
Answer:
The answer is "12".
Step-by-step explanation:
Lowest number[tex]=20\\\\[/tex]
highest number[tex]=80\\\\[/tex]
Number of classes[tex]=5\\\\[/tex]
Range=highest number-lowest number
[tex]=80-20\\\\=60\\\\[/tex]
class width [tex]=\frac{Range}{\text{number of classes}}[/tex]
[tex]=\frac{60}{5}\\\\=12[/tex]
Find all excluded values for the expression.
That is, find all values of for which the expression is undefined.
5
-----
6+2v
If there is more than one value, separate them with commas.
Answer:
-3
Step-by-step explanation:
For an expression to be undefined,. the denominator must be equal to 0
Therefore, in order to make that expression undefined, we must equate the denominator to 0
6 + 2v = 0
2v = 0 - 6
2v = -6
v = -6/2
v = -3
So in order to make the expression to be equal to 0, v must be -3
in how many ways can be arranged 2 different words in necklace?
Answer:
3
Step-by-step explanation:
chain by chain
parllel
series
bionomial probabilities
Answer:
Binomial probability refers to the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).
Hope this will help you :)Please help me with this
9514 1404 393
Answer:
1+3x = -89x = -30Step-by-step explanation:
If we let x represent "a number", then "three times a number" is 3x. The usm of that and 1 is ...
1 +3x . . . . . . the sum of 1 and 3 times a number
That is said to be -89, so we have the equation ...
1 +3x = -89
__
To solve this equation, we can subtract 1 from both sides:
3x = -90
Then we can divide by 3 to find x.
(3x)/3 = -90/3
x = -30
43% of a sample of 100 visitors to a national park believes that additional funds should be used to preserve endangered species. What is the margin of sampling error for a 95% confidence interval?
A. 9.7%
B. 5.4%
C. 43%
D. 19.4%
Answer:
A. 9.7%
Step-by-step explanation:
margin of error:
z * [tex]\sqrt{\frac{p(1-p)}{N} }[/tex]
n is sample size
z is the z score (for a 95% confidence interval you would use 1.96)
p is the sample proportion
to solve for 'p', remember that if a decimal value is given, use that. but if it is a whole number, then divide that number by the sample size, and substitute it into the formula.
in this case we are given 43% so 0.43.
in the formula :
1.96 * [tex]\sqrt{\frac{0.43(1-0.43)}{100} }[/tex]
if you calculate this you get around 0.09703 this is 9.7%
Margin of error is 9.7% (A)
ρ = 43% which is equal to 0.430
[tex]1 - P = 1 - 0.430 = 0.570[/tex]
The number of sample n = 100
We have to calculate Z at 95% confidence interval
∝ = [tex]1 - 95%[/tex]%
∝ = [tex]1 - 0.95[/tex]
∝ = [tex]0.05[/tex]
∝/2 = 0.025
Z(∝/2) = Z(0.025) = 1.96
Standard error = [tex]\sqrt{ ((1-P)xP / n)}[/tex]
Standard error = [tex]\sqrt{(1-0.43)x0.43 / 100)[/tex]
Standard error = [tex]\sqrt{(0.002451)}[/tex]
Standard error = 0.04950758
Standard error = 0.0495
Margin of error = Z*SE. z = 1.96 and standard error = 0.0495
Margin of error = [tex]1.96x0.0496[/tex]
Margin of error = [tex]0.097216[/tex]
Margin of error = [tex]9.7216%[/tex]%
In conclusion, the margin of sampling error for a 95% confidence interval is 9.7%.
Learn more about margin of sampling error brainly.com/question/3311743
What is the value of the 2 in 4.502?
Answer:
0.002
Step-by-step explanation:
2 in 4.502 is in the thousandths place
Value is 0.002
1/1*2 +1/2*3+...+1/n(n+1)= n/n+1 proof by mathematical induction
I need this asap!!
Base case (n = 1):
• On the left side: 1/(1×2) = 1/2
• On the right side: 1/(1 + 1) = 1/2
Induction hypothesis: Assume the statement is true for n = k ; that is,
1/(1×2) + 1/(2×3) + … + 1/(k × (k + 1))) = k/(k + 1)
Inductive step (n = k + 1):
1/(1×2) + 1/(2×3) + … + 1/(k × (k + 1))) + 1/((k + 1) × (k + 2)))
= k/(k + 1) + 1/((k + 1) × (k + 2))
= (k × (k + 2) + 1) / ((k + 1) × (k + 2))
= (k ² + 2k + 1) / ((k + 1) × (k + 2))
= (k + 1)² / ((k + 1) × (k + 2))
= (k + 1) / (k + 2)
and this is what we wanted to show.
Difference between 5429 and 5907 to the greatest place.
Given numbers
54295907Inorder to find the difference between them we have to substarct them.
[tex]\\ \sf\longmapsto 5907-5429[/tex]
[tex]\\ \sf\longmapsto 478[/tex]
Answer:
478
Step-by-step explanation:
To solve the problem
5907 -
5429 =
478
been stuck on this for a few days now, help on even one would be greatly appreciated!!!
Answer:
-5-9i
Step-by-step explanation:
-1-8i-4-i
-1-4-8i-i
-5-9i
A small airplane flies 1160 miles with an average speed of 290 miles per hour. 2 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time; what was the average speed of the 747 ?
Answer:
[tex]580\text{ miles per hour}[/tex]
Step-by-step explanation:
To solve this problem, we can use the formula [tex]d=rt[/tex], where [tex]d[/tex] is distance, [tex]r[/tex] is rate, and [tex]t[/tex] is time.
Let's start by calculating how long the small airplane takes to complete the journey. The distance is 1160 miles and the rate is 290 miles per hour. Therefore, we have:
[tex]1160=290t,\\t=\frac{1160}{290}=4\text{ hours}[/tex]
Since the Boeing 747 left 2 hours after the small airplane left, the small airplane has just [tex]4-2=2[/tex] hours left of travelling time.
Therefore, to arrive at the same time as the small airplane, the Boeing 747 must cover the same distance of 1160 miles in only 2 hours. Hence, the Boeing 747's speed must have been:
[tex]1160=2r,\\r=\frac{1160}{2}=\boxed{580\text{ miles per hour}}[/tex]
IF YOU GET THE RIGHT ANSWER, I'LL HELP YOU GET POINTS
Graduation is 4 years away and you want to have $500 available for a trip. If your bank is offering a 4-year CD (certificate of deposit) paying 2.3% simple interest, how much do you need to put in this CD to have the money for your trip?
Graduation is 4 years away and you want to have $500 available for a trip. If your bank is offering a 4-year CD (certificate of deposit) paying 2.3% simple interest, how much do you need to put in this CD to have the money for your trip?
Solution:-P: Principal, the amount you need to put in the CD
r: interest rate
t: time
A: total amount
________________________________
P(1+rt) = A
P(1+0.023×4) = 500
P(0.092) = 500
P = 500/0.092 = 5434.78
[Hence, you need $5434.78 to put in this CD to have the money for your trip ]
Identify the factorization of 36 + 25x2.
Answer:
86
Step-by-step explanation:
First, we should use the rule of:
B: bracket
O: of
D: division
M: multiplication
A: addition
S: subtraction
so, before adding we should multiply
or;36+50
or;86 ans.
What is the equation of the graph below?
Answer:
f(x)=5cos(1/3x) this is an equation
Find the length of the side CD in the pentagon ABCDE.
A)
4√2 units
B)
12 units
C)
4 units
D)
4√10 units
Answer: A) 4√2 units
Step-by-step explanation:
Use the distance formula to find the distance(d) between Point D and Point C:
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
Point D = (x₁, y₁) = (4, -2)Point C = (x₂, y₂) = (8, 2)[tex]d=\sqrt{(8-4)^{2}+(2-(-2))^{2}}=\sqrt{(4)^{2}+(4)^{2}}=\sqrt{16+16} =\sqrt{32} =4\sqrt{2}[/tex]
last year a football game scored a total of 427 points, so far this year, they have scored 154 points. They have eight more regular season games. How many points do they need to score each game to beat their record last year?
Answer:
35 points
Step-by-step explanation:
See photo
what is a negative number that has an absolute value greater than 3?
Answer:
x > -3
Step-by-step explanation:
Any negative number greater than -3 will have an absolute value greater than 3.
Given the formula A = 5h (B + b); solve for B.
2
Answer:
B = A/5h - b; You could use
B = (A - 5hb)/5h This just puts everything over a common denominator.
Step-by-step explanation:
A = 5h (B + b) Divide both sides by 5h
A/5h = B + b Subtract b from both sides.
A/5h - b = B
When graphing the inequality y ≤ 2x − 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary line?
Answer:
See Below
Step-by-step explanation:
The boundary line follows the graph of y = 2x - 4 because it represents the line of maximum or minimum values the graph could take. y = 2x - 4 has a y-intercept of -4 because it is in slope-intercept form. It also has a slope of 2, so to find another point on the line, you can go up two and right one. Also, this inequality has a solid line because it is "less than or equal to" and a solid line represents the values that equal.
HELP PLEASE! INEEED HELPPP RIGHT NOW The graph of y=x−2−−−−√ is is transformed to become y=x+3−−−−√−2. Which of the following statements best describes the effect this transformation has on the graph of y=x−−√?
Answer:
I think it's D but I don't know how to do this, but I ask my Friend and he gave me this graph I hope it helps.
Option (C) the graph is translated 5 units left and 2 units down is the correct answer.
What is graph of a function?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
The function is [tex]y=\sqrt{x-2}[/tex]
This function is transformed to become the function as [tex]y=\sqrt{x+3}-2[/tex]
Now compare this transformation with the function [tex]y=\sqrt{x}[/tex].
These functions are plotted in the graph below.
On comparing this transformation,
The graph is translated 5 units left and 2 units down.
Hence we can conclude that option (C) the graph is translated 5 units left and 2 units down is the correct answer.
Learn more about graph of a function here
https://brainly.com/question/2275360
#SPJ2
A water trough is 9 m long and has a cross-section in the shape of an isosceles trapezoid that is 20 cm wide at the bottom, 70 cm wide at the top, and has height 50 cm. If the trough is being filled with water at the rate of 0.2 m3/min how fast is the water level rising when the water is 20 cm deep?
Answer:
dv = surface area * dh
so
dv/dt = surface area * dh/dt
width at surface = 40 + (80-40)(30/40)
= 40 + 30 = 70 cm = 0.70 m
so
surface area = 9 * .7 = 6.3 m^2
so
.3 m^3/min = 6.3 m^2 * dh/dt
and
dh/dt = .047 meters/min or 4.7 cm/min
Step-by-step explanation:
Giải phương trình vi phân cấp 2
Answer:
bajskalakbskajalabsnsja
A runner’s distribution of times for running 1,000 meters has a mean of 4.5 minutes with a standard deviation of 0.75 minutes. One of the runner’s times has a z-score of –1.08. Which of the following statements is the best interpretation of this z-score?
This runner’s time was faster than the mean time by 0.75 standard deviations.
This runner’s time was faster than the mean time by 1.08 standard deviations.
This runner’s time was slower than the mean time by 0.75 standard deviations.
This runner’s time was slower than the mean time by 1.08 standard deviations.
Answer:
I believe it is (C).
This runner’s time was slower than the mean time by 0.75 standard deviations.
ED2021
Answer:
B) This runner’s time was faster than the mean time by 1.08 standard deviations.
Step-by-step explanation:
The runner is FASTER because of the negative z score
The best basketball player
Answer:
c
Step-by-step explanation:
hope it helps!!!!!!!!!!!!!!
Marie's backyard deck cost $68.29 per square meter to build. The deck is 9 meters wide and 9 meters long. How much did it cost to build the deck?
$5531.49
(9×9)×$68.29
Please I need help :(
Answer:
A. x-2y-3z = 1/2
Step-by-step explanation:
yess.. if you take solve every equation then you will get same equation from all the equations
look at the image below for the question !!!!!!
Answer:
136 cm2
Step-by-step explanation:
6*2=12 12*2=24
6*7=42 42*2=84
7*2=14 14*2=28
Add.
24+84+28=136
I hope this helps!
Help me plz help me plz plz
Im sorry I don't know the answer to the question
Oak street and elm street run parallel to each other. When main street intersects them, it forms exterior 8, measuring 60. What is the measure of 1?
Answer:
0 is the answer measure 1
Can I please get asap
Answer:
Option B, cotangent is the reciprocal of tangent
That option is correct