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.
Please i need the correct answer, no funny business.
Answer:
Age of the spear head = 6349 years.
Step-by-step explanation:
Expression to be used to calculate the age of the spear head,
[tex]N_t=N_0e^{-kt}[/tex]
Here, [tex]N_t[/tex] = Final amount of C-14
[tex]N_0[/tex] = Initial amount
[tex]k[/tex] = 0.0001
[tex]t[/tex] = Time in years
If [tex]N_t[/tex] = 53% of [tex]N_0[/tex] = [tex]N_0\times (0.53)[/tex]
[tex]0.53N_0=N_0e^{-0.0001\times t}[/tex]
[tex]0.53=e^{-0.0001t}[/tex]
[tex]\text{ln}(0.53)=\text{ln}(e^{-0.0001t})[/tex]
[tex]-0.634878=(-0.0001)t[/tex]
[tex]t=6348.78[/tex] years
[tex]t[/tex] ≈ [tex]6349[/tex] years
Therefore, age of the spear head = 6349 years.
2. Dentre as formas de representar um número decimal, a mais comum é a que utiliza vírgula. Valor como 0,25 está presente nos comércios, nos hospitais, nas lanchonetes e em muitos outros lugares. Esse valor também pode ser representado por A. ( ) 25/10 B. ( ) 1/4 C. ( )1/25 D. ( ) 1/25
Answer:
B: 0.25 = 1/4
Step-by-step explanation:
Queremos encontrar otra representación del número 0.25
Notar que hay dos decimales luego de la coma, por lo que podemos multiplicar este número y dividir por 100.
0.25 = 0.25*1 = 0.25*(100/100) = (0.25*100)/(100) = 25/100
Ahora tenemos el número escrito como una fracción, la cual debemos simplificar.
25/100
Podemos ver que tanto el numerador como el denominador son multiplos de 5, por lo que podemos dividir ambos por 5:
25/100 = (25/5)/(100/5) = 5/20
Nuevamente, ambos son multiplos de 5, por lo que podemos dividir ambos por 5.
5/20 = (5/5)/(20/5) = 1/4
así tenemos:
0.25 = 25/100 = 5/20 = 1/4
0.25 = 1/4
La opción correcta es B.
On a world , the distance between city A and city B is 5,625 inches. The two cities are actually 1688 miles apart. On the same , what would be the distance between city C and city D, two cities that are actually 1296 miles apart? Use a proportion to solve this problem.
Answer:
The distance between C and D is 4.2768 inches.
Step-by-step explanation:
As from A to B the distance is 5.625 inches and actual is 1688 miles
so,
1 mile = 5.625/1688 = 0.0033 inches
So, the distance between C and D is 1296 miles
= 1296 x 0.0033 inches = 4.2768 inches
The graph of a relation is shown.
Which of these values could be the slope of the line?
Select two options.
-2
-8/5
0
7/4
3
Answer:
4th option, 7/4 and
5th option, 3
Step-by-step explanation:
The line seems like it will have a positive slope and will not be 0 since it's not passing through the origin
so, possible values are 7/4 and 3
Answered by GAUTHMATH
Answer: The answer would be 7/4, 3
Step-by-step explanation:
If a point is chosen inside the square, what is the probability that it will also be inside the circle?
Answer:
[tex]79\%[/tex]
Step-by-step explanation:
The probability that the point is chosen in the circle is equal to the area of the circle divided by the area of the square.
Formulas used:
Area of a square with side length [tex]s[/tex] is given by [tex]A=s^2[/tex] Area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]The segment marked as 1 represents not only the radius of the circle, but also half the side length of the square. Therefore, the side length of the square is 2, and we have:
Area of square: [tex]A=2^2=4[/tex]
Area of circle:
[tex]A=1^2\pi=\pi[/tex]
Therefore, the probability that the point will be inside the circle is:
[tex]\frac{\pi}{4}=0.78539816339\approx \boxed{79\%}[/tex]
use the information in the diagram, set up a proportion to solve for the height of the tree
Answer:
Step-by-step explanation:
There are a couple of ways you could solve this problem. B is one of them.
The correct answer is going to be Small hypotenuse / Large hypotenuse = tree / building height
Let the tree equal x
100/220 = x / 176 Multiply both sides by 176
100 * 176 / 220 = x
x = 80
Notice that 80 is almost 1/2 of 176 so the answer should be right since 100 is nearly 1/2 of 220
Which system of inequalities is shown in the graph?
&
A. y 2 X+1
yzx-3x
B. ys X+1
ys 2-3x
O C. ys x+1
yz x2-3x
O D. ys-x+1
ysx2-3x
Answer:
A
Step-by-step explanation:
because when i dentify graph theres y an x
The feasible region of the result is defined by the system of inequalities.
Correct response:
The system of inequalities shown in the graph is given by the option B.
B. y ≤ x + 1
y ≤ x² - 3·x
Methods used to find the system of inequalitiesPlease find attached the possible graph of the inequality
The possible graph obtained from a similar question has a straight line portion and a quadratic portion.
Points on the straight line are; (0, 1), (3, 4), and (5, 6)
Therefore;
[tex]Slope \ of \ the \ line = \dfrac{6 - 1}{5 - 0} = 1[/tex]
Equation of the line is; y - 1 = 1 × x
Therefore;
y = x + 1
The shaded region is below the line which gives;
y ≤ x + 1Points on the quadratic graph are; (0, 0), (4, 4), and (2, -2).
The general form of a quadratic equation is; y = a·x² + b·x + c
Therefore, we have;
0 = a × 0 + b × 0 + c
Which gives;
c = 0
4 = a × 4² + b × 4 = 16·a + 4·b
-2 = a × 2² + b × 2 = 4·a + 2·b
4 = 16·a + 4·b...(1)
-2 = 4·a + 2·b...(2)
Multiplying equation (2) by 2 and subtracting from equation (1) gives;
2 × -2 = 2 × (4·a + 2·b) = 8·a + 4·b
-4 = 8·a + 4·b
4 - (-4) = 16·a + 4·b - (8·a + 4·b) = 8·a
8 = 8·a
[tex]a = \dfrac{8 }{8} = 1[/tex]
a = 1
-2 = 4 × 1 + 2·b
2·b = -2 - 4 = -6
[tex]b = \dfrac{-6}{2} = \mathbf{ -3}[/tex]
Which gives;
y = 1·x² - 3·x = x² - 3·x
The line is a solid line and shaded region is the region under the graph which gives;
y ≤ x² - 3·xTherefore;
The inequalities in the graph are given by option B.
B. y ≤ x + 1
y ≤ x² - 3·x
Learn more about graph of inequalities here:
https://brainly.com/question/6749279
Raegan needs 2 boards to make a shelf one board is 1 1/2 m long and the other is 3 1/2 m long what is the total length of the shelf
Answer:
5 m
Step-by-step explanation:
Find the total length of the shelf by adding together the lengths of the two boards:
1 1/2 + 3 1/2
= 5
So, the total length of the shelf is 5 m
The average of Mindy’s two test scores must be at least 90 to make an A in the class. Mindy got an 95 on her first test. What scores can she get on her second test to make an A in the class?
Answer:
Step-by-step explanation:
Total points needed for two tests to average 90 is 90 x 2 = 180 points.
Subtract the score of the first test from the total points needed:
180 -95 = 85
She needs an 85 on the second test.
help me with this math question
Answer:3
Step-by-step explanation:
Just count from -1 to positive 2 the dot doesn’t move
how to do?? helppppp
Answer:
x = - 3, x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
(2x - 1)(x + 3) = 0
Equate each factor to zero and solve for x
x + 3 = 0 → x = - 3
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
Answer:
x = 0.5 and -3
Step-by-step explanation:
(2x - 1)(x + 3) = 0
We are solving for the two x values (since this is a polynomial)
(2x-1) = 0/(x + 3)
2x - 1 = 0
2x = 1
x = 1/2 = 0.5
And the second x value
(x + 3) = 0 / (2x - 1)
x + 3 = 0
x = -3
Daniel expanded the expression as shown.
What errors did he make? Select three options.
Answer:
Below.
Step-by-step explanation:
The second term should be positive.
The last term should be -1 1/2 not -1 1/4.
He did not correctly multiply -8 and -2.
Answer:
b,c,d
Step-by-step explanation:
(.*_*)hope this helps(- _-.)
The heights of 200 adults were recorded and divided into two categories
Which two-way frequency table correctly shows the marginal frequencies
Answer:
C
Step-by-step explanation:
male total= 98
female total =102
total total=200
I'm not sure how to do this.. Help a bro out..?
Answer:
= -21x + 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Okay bro who gave you this question. I attempted to do this and I assumed it was a right triangle. That means a^2 + b^2 = c^2:
(x-5)^2 + (2x+1)^2 = (4x+3)^2
I plugged this into symbolabs and got a positive value for x to be [tex]\frac{2\sqrt{103}-15}{11}[/tex] which is approx 0.482. It does work when you plug it back in but that means x-5 < 0 which isn't possible. So unless you wrote something down wrong, this question technically doesn't make any logical sense.
factor x^2-3x-28 using the x method
Answer:
[tex] {x}^{2} - 7x + 4x - 28 \\ = x(x - 7) + 4(x - 7) \\ = (x - 7)(x + 4)[/tex]
find the area of each triangle. Round intermediate values to the nearest tenth. use the rounded values to calculate the next value. Round your final answer to the nearest tenth, someone help me pelaseeeee!!!!
Answer:
54? or 5.4 I not really sure but I tried my best
stuck on a maths question please help with an explanation thank you stay safe :)
======================================================
Explanation:
He answered 5/7 of the 35 short-answer questions correctly. So he got (5/7)*35 = 25 of those questions correct. At 2 marks each for these questions, he earned 25*2 = 50 points from this group alone.
There are 35 short-answer questions and 15 long-answer questions. That's 35+15 = 50 questions total.
We're told that he answered 60% of all the questions correctly. So he answered 0.60*50 = 30 questions correctly.
Earlier we found that he answered 25 short-answer questions, which must mean he got 30-25 = 5 long-answer questions done correctly. At 4 marks a piece, Keith earns 5*4 = 20 points in this group.
So overall, he earned 50+20 = 70 points from both types of questions.
---------------------
If he got all answers correct, then he would earn 35*2 = 70 points from the short-answer questions and 15*4 = 60 points from the long-answer questions. That's a total of 70+60 = 130 points to get a perfect score.
The ratio of his score to the perfect score is 70:130 which reduces to 7:13 when dividing both parts by the GCF 10.
9514 1404 393
Answer:
70/130 . . . . reduces to 7/13
Step-by-step explanation:
StrategyThe problem statement describes 2 kinds of quiz questions, and different relations regarding the numbers of questions answered correctly. The problem asks for the number of marks Keith had relative to the total number of marks.
This means you need to find Keith's marks and the available marks for each question type (4 numbers).
Because of the way the problem tells you the number of long-answer questions answered, additional computations are required to find the total number of questions Keith answered and the number of short-answer questions Keith answered. (The difference of these is the number of long-answer questions answered.) That's 3 more computations.
You have to keep in mind the purpose of each computation and how it fits in to the final result. This is why we label the intermediate results.
SolutionShort Answer Marks
There were 35 short-answer questions for 2 marks each. That's a total of ...
(35)(2) = 70 . . . . marks for all short-answer questions
Keith got 5/7 of those, so got ...
(5/7)×70 = 50 . . . . Keith's marks for short-answer questions.
__
Long Answer Marks
There were 15 long-answer questions for 4 marks each. That's a total of ...
(15)(4) = 60 . . . . marks for all long-answer questions
The total number of questions on the quiz was 35 +15 = 50. Keith answered 60% of them, so answered ...
0.60×50 = 30 . . . . total number of questions Keith answered
We know Keith answered (5/7)(35) = 25 short-answer questions, so must have answered 30-25 = 5 long-answer questions. His marks for those were ...
(5)(4) = 20 . . . . Keith's marks for long-answer questions
__
Total Marks
Then the total number of marks for all answers on the quiz is ...
short marks + long marks = 70 +60 = 130 . . . available marks
And Keith's overall score was ...
(Keith's short marks + Keith's long marks)/(available marks)
= (50 +20)/130 = 70/130 . . . . Keith's score ratio for the quiz
in 1990 sausage cost an average of $2.42 per pound. In 1994 it cost 51.35 per pound. What was the percent of depreciation (percent of decrease)?
*(show your work)*
Answer:
Cumulative price change 105.96%
Average inflation rate 2.36%
Converted amount ($100 base) $205.96
Price difference ($100 base) $105.96
CPI in 1990 130.700
Step-by-step explanation:
solve for x,ty!
No links
Answer:
Step-by-step explanation:
[tex]\frac{-3x}{2}[/tex] = 5
multiply both sides by 2
2 ( [tex]\frac{-3x}{2}[/tex] = 5 )
-3x = 10
divide both sides by [tex]\frac{-1}{3}[/tex]
[tex]\frac{-1}{3}[/tex] ( -3x = 10 )
x = [tex]\frac{-10}{3}[/tex]
got it?
Answer:
x = -10/3
Step-by-step explanation:
2(-3x/2) = (5)2
-3x = 10
----- ---
-3 -3
x = -10/3
I need to know the transformation of the shape
Answer:
is there anything underneath it? it says which of the following
Step-by-step explanation:
How far apart are -14 1/2 and 2 on the number line
Please help!!!!!!!!!!!!!!
Answer:
choice A is the answer
Step-by-step explanation:
[tex]5 + 2.75s \leqslant 21 \\ 2.75s \leqslant 21 - 5 \\ s \leqslant 16 \div 2.75 \\ s \leqslant 5.82[/tex]
but since we only can have a whole number in the number of stops, she can only travel 5 stops with the money she has.
Determine whether the mapping is a relation or a function or neither.
the 4th awnser was cannot be determined
Answer:
The answer is not a function
Step-by-step explanation:
I think at least
Amanda asked each student in her class: How many pets do you have? The data collected is below.
Amanda's Class: 0, 0, 2, 1, 1, 0, 5, 0, 3, 2, 1, 1, 0, 2, 4, 0, 2, 1, 1, 1, 2, 3, 1, 0, 2
Charley asked the same question to each student in his class (which is no
class as Amanda's). The data he collected is below.
Charley's Class: 1, 2, 1, 3, 1, 1, 0, 0, 1, 0, 0, 2, 3, 1, 2, 5, 2, 0, 0, 4, 1, 1, 2, 0, 0, 1, 1
Whose class had a larger percentage of students with no pets?
Answer:
Charley's class.
Step-by-step explanation:
There are 25 students in Amanda class and 27 in Charley's.
Number of students with no pets in Amanda's = 7 which is 100 * 7/25 = 28%.
In Charley's class this is 8 which is 100 * 8/27 = 29.6%.
Answer:
Charley's class
Step-by-step explanation:
Amanda's class has 7 students with zero pets out of 25 total students. Charley's class has 8 students with zero pets out of 27 total students.
7/25 = 28% with zero pets
8/27 = around 30% with zero pets
Charley's class has a larger percentage of students with no pets
Mary's Mum said she would pay 2/5 of the cost of
her new dress. If the dress cost £165, how much
money did Mary have to pay?
HELPPP
Answer:
66 dollars im pretty sure
Step-by-step explanation:
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −34?
Parallel Perpendicular Neither
Line M, with slope3/4 Line N, with slope 4/3 Line P, with slope -4/3 Line Q, with slope -3/4
Given:
The slope of a line is [tex]-\dfrac{3}{4}[/tex].
To find:
The lines in the options are parallel, perpendicular or neither parallel nor perpendicular to the given line.
Solution:
We know that the slopes of parallel lines are equal.
The slope of line Q and the slope of given line are same, i.e., [tex]-\dfrac{3}{4}[/tex]. So, the line Q is parallel to the given line.
The slope of a perpendicular line is the opposite reciprocal of the slope of the line because the product of slopes of two perpendicular lines is -1.
The slope of a line is [tex]-\dfrac{3}{4}[/tex]. It means the slope of the perpendicular line must be [tex]\dfrac{4}{3}[/tex]. So, the line N is perpendicular to the given line.
The slopes of line M and P are neither equal to the slope of the given line nor opposite reciprocal of the slope of the line.
Therefore, the lines M and P are neither parallel nor perpendicular.
Find the volume of this solid.
Answer:
Step-by-step explanation:
area of side surface=50×20+20×35=1000+700=1700 m²
voume of solid=1700×12=204,00 m³
Please help me solve this problem
Will Mark brainlest !please help. (The probabilty of germenating a new flower seed is found to be 0.92,if you sow a packet of 500 seeds in the field ,how many seeds will you expect to be germinated)
Answer: 0. 92 = 92%
100% = 500
92% = 500 × 92/100 = 460
Step-by-step explanation:
When a coin and die are tossed together find the probability of getting:
a)coin with head and die with prime number
b)coin with head and die with composite number
c)coin with tail and die with even prime number
Answer:
a) 1/4
b) 1/6
c) 1/12
Step-by-step explanation:
Let S be the sample space.
S={H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}
n(s) =12
Events
A: coin with head and die with prime number .
B:coin with head and die with composite number.
C:coin with tail and die with even prime number.
a) A={H2,H3,H5}
n(A) = 3
P(A) =n(A)/n(S)
=3/12
= 1/4
b) B={H4,H6}
n(B)= 2
P(B) = n(B)/n(S)
= 2/12
= 1/6
c) C ={T2}
n(C) = 1
P(C) = n(C)/n(S)
= 1/12
