Answer:
The Average annual return is:
= 10%.
Step-by-step explanation:
a) Data and Calculations:
Year Stock Returns
Year 1 -4%
Year 2 +28%
Year 3 +12%
Year 4 + 4%
Total returns = 40%
Average annual returns = 10% (40%/4)
b) The average annual return is computed as the total returns for the four years divided by 4. It shows that on the average, the return earned per year from the stock investment is 10%, during the four-year period. It is the mean of the total returns.
hi, please solve these three questions for me, i have to shoe solving steps.
question 3
Step-by-step explanation:
i only able to show you the step of question 3..so sorry
If ? A² + b² = 7b and b² + (2b-a) ²= 7², what is (a - b) ²?
Answer:
7^2+2ab - 4b^2
Step-by-step explanation:
A² + b² = 7b
b² + (2b-a) ²= 7²
FOIL
b^2 +4b^2-4ba+a^2= 7^2
Rewriting
a^2 -2ab + b^2 +4b^2 -2ab = 7^2
Add 2ab and subtract 4b^2 from each side
a^2 -2ab + b^2 +4b^2 - 4b^2 -2ab+2ab = 7^2+2ab - 4b^2
a^2 -2ab + b^2 = 7^2+2ab - 4b^2
(a-b)^2 = 7^2+2ab - 4b^2
11. Find out price elasticity of demand from the following table:
Price per unit()=8,10
Quantity Demanded (Units)=200,150
Answer:
Price elasticity of demand = 1
Step-by-step explanation:
Old quantity demanded = 200
New quantity demanded = 150
Old price = 8
New price = 10
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
percentage change in quantity demanded = change in quantity demand / old demand × 100
= 50/200 × 100
= 0.25 × 100
= 25%
percentage change in price = change in price / old price × 100
= 2/8 × 100
= 0.25 × 100
= 25%
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
= 25% / 25%
= 1
Price elasticity of demand = 1
Please help me i don’t understand this question at all.
9514 1404 393
Answer:
D.
Step-by-step explanation:
The wording "when x is an appropriate value" is irrelevant to this question. That phrase should be ignored. (You may want to report this to your teacher.)
When you look at the answer choices, you see that all of them are negative except the last one (D). When you look at the problem fraction, you see that it is positive.
The only reasonable choice is D.
__
Your calculator can check this for you.
√12/(√3 +3) ≈ 3.4641/(1.7321 +3)
= 3.4641/4.7321 ≈ 0.7321 = -1 +√3
__
If you want to "rationalize the denominator", then multiply numerator and denominator by the conjugate of the denominator. The conjugate is formed by switching the sign between terms.
[tex]\displaystyle\frac{\sqrt{12}}{\sqrt{3}+3}=\frac{\sqrt{12}}{(\sqrt{3}+3)}\cdot\frac{(\sqrt{3}-3)}{(\sqrt{3}-3)}=\frac{\sqrt{36}-3\sqrt{12}}{3-9}\\\\=\frac{6-3\cdot2\sqrt{3}}{-6}=\boxed{-1+\sqrt{3}}[/tex]
_____
Additional comment
We "rationalize the denominator" in this way to take advantage of the relation ...
(a -b)(a +b) = a² -b²
Using this gets rid of the irrational root in the denominator, hence "rationalizes" the denominator.
We could also have multiplied by (3 -√3)/(3 -√3). This would have made the denominator positive, instead of negative. However, I chose to use (√3 -3) so you could see that all we did was change the sign from (√3 +3).
Evaluate the expression when x=-6.
x^2-9x+4
Answer:
- 14
Step-by-step explanation:
x = - 6
x^2 - 9x + 4
= ( - 6 )^2 - 9 ( - 6 ) + 4
= 36 + 54 - 4
= 36 - 50
= - 14
Answer:
[tex]94[/tex]
Step-by-step explanation:
[tex]x^2 - 9x + 4[/tex]
[tex](−6 {)}^{2} −9 (−6) + 4[/tex]
[tex]36 − 9 (−6) + 4[/tex]
[tex]36 + 54 + 4[/tex]
[tex]90+4[/tex]
[tex]94[/tex]
Hope it is helpful....A survey asked 60 students if they play an instrument and if they are in band.
1.35 students play an instrument.
2. 30 students are in band.
3. 30 students are not in band.
Which table shows these data correctly entered in a two-way frequency table?
=======================================================
Explanation:
The table headers will look like choice A or choice C. Notice that we have simple yes or no questions along either the row or column labels; also, the labels are consistent. Choice B can be ruled out because the labels aren't consistent (or don't match up). Choice D is overcomplicated so it can be ruled out also.
We're told that 35 students play an instrument. That means 35 goes at the end of the "plays instrument" row, in the "total" column.
This is enough to see that choice A is the final answer
Furthermore, 30 students are in a band. So we have "30" at the bottom of the "band" column, and in the "total" row. The same applies to the 30 people not in band.
Which of the following values are in the range of the function graphed below? Check all that apply
Answer:
B
-10-10=20
10+10=20
20/20=0
hello! HELP NEEEDED!!!!!!!!!!!
Answer:
$2.50
Step-by-step explanation:
Sally pays 2.5 lbs of chuck for 6.25. We need to convert this to 1 pound, to see how much money it take to equal 1 pound .
Set up proportion.
[tex] \frac{1}{x} = \frac{2.5}{6.25} [/tex]
[tex]2.5 x = 6.25[/tex]
[tex]x = 2.5[/tex]
it takes 2 dollar and 50 cents for 1 lb of ground chuck
Answer:
$2.50
Step-by-step explanation:
In my theory, I suppose that the key word to look at is "per"in the question above. All you need to do is to is to divide $6.25 with 2 1/2 lb
x.(9x-1).(x+2)-x(3x-1).(3x+1)
Answer:
=17x²-x
Step-by-step explanation:
=x.(9x²+18x-x-2)-x.(9x²-1)
=x.(9x²+17x-2-9x²+1)
=x.(17x-1)
=17x²-x
PLEASE HELP ME WITH THIS !!!
9514 1404 393
Answer:
(x -2)^2/16 +(y +2)^2/4 = 1
Step-by-step explanation:
The equation of an ellipse is ...
((x -h)/a)^2 +((y -k)/b)^2 = 1
where (h, k) is the center, and 'a' and 'b' are the semi-axes in the x- and y-directions respectively.
Here, we have (h, k) = (2, -2), and a=6-2 = 4, b = 0-(-2) = 2. Then the equation is ...
((x -2)/4)^2 +((y +2)/2)^2 = 1
More conventionally, the denominators are multiplied out, so this is ...
(x -2)^2/16 +(y +2)^2/4 = 1
Answer the question to get points
Answer:
4. E=4x-15(vertically opposite)
F=E(corresponding angles)
E=4x-15
5.3x+6x+O=180(angles on a straight line)
9x+0=180
9x=180-0
9x/9=180/9
x=20
The pizza restaurant down the street wants to advertise on its marquee sign the number of ways you can order a $10 pizza. The restaurant offers 18 toppings and for $10 you can order up to 4 toppings, meaning you can either order 1, 2, 3, or 4 toppings and you can’t order any toppings twice. Use this information to answer the following questions:
a. Is this a permutation problem, a combination problem, or a problem using both elements?
b. Determine how many ways you can order a pizza from the restaurant. Explain what strategies you used.
c. If there were no restriction on the number of toppings you could choose, how would that change the answer?
Answer:
Step-by-step explanation:
Can someone please exlpain how to do this???
Answer:
40. A c=60
41 B z= 40
Step-by-step explanation:
The sum of the angles in a triangle is 180
40. 61+59+c = 180
Combine like terms
120+c = 180
c = 180-120
c =60
41. 90+50+z = 180
140 +z = 180
z = 180-140
z = 40
Ken makes $400 a week before a 5% raise, and then another 6% raise. What is his weekly pay now? Can someone please help me with this
Answer:
$445.20
Step-by-step explanation:
First, find his pay after the 5% raise:
400(1.05)
= 420
Find his pay after the 6% raise:
420(1.06)
= 445.2
So, his weekly pay is now $445.20
What is the total surface area of the square pyramid below?
14 cm
10 cm
10 cm
O 100 cm
O 200 cm
O 280 cm?
O 380 cm?
a
Answer:
D
Step-by-step explanation:
380
Given m||n, find the value of x.
t
(9x+23)
m
(10x+6)
an
Answer:
Submit Answer
attempt 1 out of 2
Pls help I’ve already got it wrong once
Answer:
x=17
Step-by-step explanation:
These are alternate interior angles and alternate interior angles are equal when the lines are parallel
9x+23= 10x+6
Subtract 9x from each side
9x+23 -9x= 10x-9x+6
23 = x+6
Subtract 6 from each side
23-6 = x+6-6
17 =x
in a right triangle the two sides are 10 and 5. find all possible values for the third side.
hint: there are two possibilities
Answer:
1. about 11.18
2. about 8.66
Step-by-step explanation:
1. 5^2 + 10^2= 125
square root of 125 equals about 11.18
2. 10^2-5^2=75
square root of 75 equals about 8.66
Martas school has 325 desks for 13 classrooms . If the desks are shared evenly how many desks will each classroom have
Answer:
25
Step-by-step explanation:
"A parabola has the equation y=3x^2+ 6x- 12 . What are the coordinates of the vertex? (You must solve by factoring)!!!!!" I NEED THE ANSWER TO THIS FAST WITH STEPS I'm a grade 10 academic student by the way
enjoy it
it best answer for you
ram can do a piece of work in 8 days. He work fir 6 days and left. If hari finish as the remaining work . how much work is done by hari?
Answer:
Hari finished the last two days of work that ram had left behind so that means that hari did 2 days of work.
The solution to a system of two linear equations is (4, -3). One equation has a slope of 4. The slope of the other line is the negative reciprocal of the slope of the first.
The system described above is represented by the following equations:
Answer:
Hello,
First equation is false
Second equation is true
Step-by-step explanation:
1)
(4,-3) is a point of the line y=4x-19 since
-3=?4*4-19
-3=-3
2)
(4,-3) is not a point of the line y=1/4x-2 since
-3=? 1/4*4-2
-3=? 1-2
-3≠-1
I have written that because it is difficult for me to understand
"the negative reciprocal of the slope of the first"
the negative reciprocal of 4 should be -1/4.
Equation y=1/4x-2 is false.
enter the following in the cash book applying cgst and sgst at 6% each for all transactions relating to the sales and purchase of the products
pls pls pls pls pls help me
Answer:
10,000
Step-by-step explanation:
cuhcuhcuhcuhcuhcuhc
Question 1
Points 2
Find the number in which 8 has the highest value.
6586.34
6568.34
6579.83
6579.38
Step-by-step explanation:
the number which has the highest value as8 is
6586.34
Evaluate f-g+(-2) where f = -3.005 and g = 4.7
Answer:
-9.705
Step-by-step explanation:
f-g+(-2)
Let f = -3.005 and g = 4.7
-3.005 -4.7 -2
-9.705
Please help me: 1/2(6h-4) = -5h+1
Answer:
h = 3/8
Step-by-step explanation:
1/2(6h-4) = -5h+1
Distribute
3h -2 = -5h+1
Add 5h to each side
3h-2+5h = -5h+1+5h
8h-2 = 1
Add 2 to each side
8h-2 +2 = 1+2
8h = 3
Divide by 8
8h/8 = 3/8
h = 3/8
Can someone please help me with these questions (picture)
Step-by-step explanation:
Answer 1 to find the base to apply the Pythagoras theorem..of finding length..
Hypotenuse²= Base²+ Height²
So,
(H)²= (B)²+(H)²
12²= 8²+y²
144-64=y²
80=y²
√80= y
√2×2×2×2×5= y
2×2√5= y ( take one 2 from each pair)
4√5= y
hope it helps...
Answer:
4 sqrt(5); 41.0
Step-by-step explanation:
Question 7:
Using Pythagoras theorem:
y = sqrt(12^2 - 8^2)
y = sqrt(80)
y = 4 sqrt(5)
Question 8:
A = Area rectangle + Area circle
A = 2.4 × 4.4 + pi × 4.4^2 ÷ 2
A = 10.56 + 9.68 pi
A = 41.0
which of the following is the sum of the numbers if the mean of five number is 6
Answer:
Step-by-step explanation:
you have to do 5+1 and then you will get 6
Kasonga's TV plan costs $59.99 per month plus $5.49 per first-run movie. How many first-run movies can he watch if he wants to keep his monthly bill to be a maximum of $100?
Answer:
7
Step-by-step explanation:
We can solve this problem by making an equation for the monthly bill. First, the cost is $59.99 per month, and that cannot be decreased, so we must add all costs to that amount. Next, it costs $5.49 per first run movie, so for each first run movie, we add $5.49 to the total. Therefore, we can write our equation as
59.99 + 5.49 per first run movie = monthly bill
Representing the number of first run movies as r, we can say
59.99 + 5.49 * r = monthly bill
Next, the monthly bill should be less than or equal to 100, so we can say
monthly bill ≤ 100
59.99 + 5.49 * r = monthly bill ≤ 100
Moreover, we want to maximize r, or the amount of first run movies. Because we add money to the monthly bill for each movie, to maximize r, we have to find the maximum money we can spend on the monthly bill that is still less than or equal to 100. To do this, we set the monthly bill to its maximum limit, or 100, so we have
59.99 + 5.49 * r = 100
subtract 59.99 from both sides to isolate the f and its coefficient
40.01 = 5.49 * r
divide both sides by 5.49 to isolate the variable
r ≈ 7.29
Since we can't buy .29 of a movie, and rounding up to 8 movies would cause us to go past 100 dollars, the maximum movies he can watch if he wants to keep his monthly bill ≤ 100 is 7
james cuts his 2 of his neighbor's lawn the first is 1000 m long and 100 m wide what is the area
Answer:
100,000m^2
Step-by-step explanation:
The area formula is length multiplied by width:
A=l x w
Substitute in the values for length and width
A= 1000 x 100
Solve for A
A= 100,000m^2
Answer: 100,000 m² or 1 × 10⁵ m²
Step-by-step explanation:
Concept:
Here, we need to know how to calculate the area of a rectangle.
Area = w · l
w = width
l = length
Solve:
Width = 100 m
Length = 1000 m
Area = w · l
Area = (100) (1000)
Area = 100,000 m²
Hope this helps!! :)
Please let me know if you have any questions
What is the simplest shape in Mathematics?
