Anna's total profit was $6000 + $16000 - $4000 = $14000.
How did Anna earn profit
Anna bought $4000 of company stock. The value of the stock doubled when she sold 75% of it, which means she sold 0.75 * $4000 = $3000 worth of stock when its value doubled.
Since the value of the stock doubled, Anna sold the $3000 worth of stock for 2 * $3000 = $6000.
Anna then sold the remainder of the stock (25% of the original amount) for four times the purchase price. Since she originally bought the stock for $4000, the remainder was worth 0.25 * $4000 = $1000.
Selling this remainder for four times the purchase price means that Anna sold it for 4 * $4000 = $16000.
:((!!! Pls help and explain 15points
Name two parallel lines. (Make sure to use the word "line") *
Answer:
Parallel lines NEVER intersect.
Perpendicular lines intersect at a right angle (90 degrees)
Step-by-step explanation:
Here we see that the line with the point E on it is parallel to the one with points B and D.
These lines will NEVER intersect.
I hope this helps!
The population is decreasing at a rate of 5% per year. If the population is 28,400 today, what will the population be in 8 years? Round your answer to the nearest whole number, if necessary
Answer:
710
Step-by-step explanation:
if its wrong tell me (☞゚ヮ゚)☞(if it right plz give me brainlist)☜(゚ヮ゚☜)
Hector has 10 cups of flour. Which equation shows how to determine the number of Two-fifths of a cup servings there are in the 10 cups of flour? first on to answer is brianlyist.
Answer:
its a
Step-by-step explanation:
credit to the person that said it was a in the comments :)
Answer:
AAAAAAAAAAAA is correct
Step-by-step explanation:
An economy is operating with output $400 billion above its natural level, and fiscal policymakers want to close this expansionary gap. The central bank agrees to adjust the money supply to hold the interest rate constant, so there is no crowding out. The marginal propensity to consume is 3/4, and the price level is completely fixed in the short run.
to close the expansionary gap, the government would need to increase or decrease spending by $ billion.
Hence, to close the expansionary gap, the government would need to decrease spending by $100 billion.
To close the expansionary gap, the government would need to decrease spending by $100 billion.
The formula to calculate the change in equilibrium output due to a change in government spending is:
∆Y = (∆G / (1 - MPC))
Where:
∆Y = change in equilibrium output
∆G = change in government spending
MPC = marginal propensity to consume
Here, the output is $400 billion above its natural level, and the central bank agrees to adjust the money supply to hold the interest rate constant, so there is no crowding out. Therefore, we can assume that the change in government spending (∆G) would have a one-to-one effect on the equilibrium output (∆Y).
Given that MPC = 3/4, we can plug in the values into the formula:
400 = (∆G / (1 - 3/4))
∆G = (1 - 3/4) * 400
∆G = (1/4) * 400
∆G = 100
Hence, to close the expansionary gap, the government would need to decrease spending by $100 billion.
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Choose the point which shows the correct location for the polar coordinate (1,5π/6)
Answer:
C
Explanation:
The polar coordinates have the following form
(r, θ)
Where r is the radius and θ is the angle. If the polar coordinate is (1, 5π/6), the point will be located in the first circle and an angle of 5π/6. Therefore, the point that shows the correct location is C.
So, the answer is C.
what is appropriate volume of a cylinder use 3.14
Answer:
hmm are they options.
Step-by-step explanation:
if so I would say c
Answer:
v=pi×r^2×h so the answer is 452.16
What is the value of n 8n-5=139
The value of 'n' is 18 in the given equation 8n - 5 = 139.
We have to find the value of 'n'.
To do so, we need to solve the given equation.
Let us see how we can solve the given equation.8n - 5 = 139
We need to find the value of 'n'.
Let us bring the constant term to the right side by adding 5 to both the sides of the equation.8n - 5 + 5 = 139 + 5On simplifying, we get8n = 144Now, we need to isolate 'n' to find its value.
To do so, we divide both the sides by 8.8n/8 = 144/8On simplifying, we get n = 18
Therefore, the value of 'n' is 18.
Hence, the value of 'n' is 18 in the given equation 8n - 5 = 139.
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The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with grams of a radioactive isotope, how much will be left after 4 half-lives?
After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:
Amount remaining = Initial amount × (1/2)^(number of half-lives)
In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.
So, the equation becomes:
Amount remaining = Initial amount × (1/2)^4
Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.
Simplifying the equation:
Amount remaining = Initial amount × (1/16)
Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
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The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation.
Domain of f is ( -4 ,1 ) and Range of f is (4 , -5)
The domain refers to the set of possible input values.
The domain of a graph consists of all the input values shown on the x-axis.
The range is the set of possible output values, which are shown on the y-axis.
According to the graph ,
The horizontal extent of the graph is starting from -4 and ending on 1
Therefore , the domain of graph is (-4 , 1)
These points are not included in the domain , you can observe the end points of curves is not filled
The vertical extent of graph is starting from 4 and going downwards till -5
so, Range of graph is (4 , -5)
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If you had a billion dollars in 10-dollar bills, how many bills would you have? 10-dollar bills
Answer:
you would have 100 million bills (100,000,000)
Step-by-step explanation:
1,000,000,000 / 10
= 100,000,000
Answer:
100 million
Step-by-step explanation:
100,000,000
What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
Please help I’m stuck on this question
Answer:
B. circumcenter
Step-by-step explanation:
you have to draw in the perpendicular lines inside the triangle to find the circumcenter as shown in the picture.
x+ 2 1 =x− 2 1 true or false
Answer:
let's say in this situation x =0 if I were to add 21 to 0 the Answer is +21 but if I were to subtract 21 from zero I would get -21 and -21≠+21
Point a (2,2) and d (-4,-3) are located on a grids what measurement is closest to the distance between point a and point d
Answer:
6 or 7
Step-by-step explanation:
Answer:
oh yo tuff
dfssfc dsfv ddfs f wqd waf sg
Circle Y is shown. 2 chords intersect. Angle 1 intercepts an arc with measure 37 degrees. Angle 2 intercepts an arc with measure 25 degrees.
In circle Y, what is m∠1?
6°
25°
31°
37°
Answer:
c 31
Step-by-step explanation:
its saul goodman
The measure of angle 1 is 31 degrees
What are chordsChords are lines that touch the circumference of a circle at two points
The angles are given as;
x = 37 degrees
y = 25 degrees
The measure of angle 1 is calculated as:
\(\angle 1 = 0.5 * (x + y)\)
So, we have:
\(\angle 1 = 0.5 * (37 + 25)\)
Evaluate
\(\angle 1 = 31\)
Hence, the measure of angle 1 is 31 degrees
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5(x+4)=6x-5
please help :)
Answer:
11x + 20 if this is wrong message or comment pls
Step-by-step explanation:
5(x+4)=6x+-5
multiply the 5 and x so 5x
now multiply 5 and 4 so 25
add all that have x
so 6x + 5x = 11x
and now add 25 + -5 = 20
Answer:
x=25
Step-by-step explanation:
5(x+4)=6x-5
5x+20=6x-5
like terms
5x-6x=-20-5
-x= -25
x cant be negative so divide through by -
x=25
The partial fraction decomposition of 9 x 11 6 x 2 23 x 21 can be written in the form of f ( x ) 2 x 3 g ( x ) 3 x 7 , where
Answer:
\(f(x) = -1\)
\(g(x) =6\)
\(\frac{-1}{2x + 3} + \frac{6}{3x + 7}\)
Step-by-step explanation:
The question is unreadable, however the real polynomial is:
The polynomial fraction is:
\(P = \frac{9x + 11}{6x^2 + 23x + 21}\)
And the decomposition is:
\(\frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}\)
The solution is as follows:
\(P = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}\)
Substitute the expression for P
\(\frac{9x + 11}{6x^2 + 23x + 21} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}\)
Expand the numerator of the polynomial
\(\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}\)
Take LCM
\(\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)*(3x + 7) + g(x)*(2x + 3)}{(2x + 3)(x + 7)}\)
Cancel out both denominators
\(9x + 11} = f(x)*(3x + 7) + g(x)*(2x + 3)\)
Represent f(x) as A and g(x) as B
\(9x + 11} = A*(3x + 7) + B*(2x + 3)\)
Open bracket
\(9x + 11} = 3Ax + 7A + 2Bx + 3B\)
\(9x + 11} = 3Ax + 2Bx+ 7A + 3B\)
\(9x + 11} = (3A + 2B)x+ 7A + 3B\)
By comparison:
\(3A + 2B = 9\) ---- (1)
\(7A + 3B =11\) ---- (2)
Make B the subject in (1)
\(B = \frac{9 - 3A}{2}\)
Substitute \(B = \frac{9 - 3A}{2}\) in (2)
\(7A + 3(\frac{9 - 3A}{2}) = 11\)
Multiply through by 2
\(2*7A +2* 3(\frac{9 - 3A}{2}) = 11*2\)
\(14A + 3(9 - 3A) = 22\)
\(14A + 27 - 9A = 22\)
Collect Like Terms
\(14A - 9A = 22-27\)
\(5A = -5\)
\(A = \frac{-5}{5}\)
\(A = -1\)
Recall that:
\(B = \frac{9 - 3A}{2}\)
\(B = \frac{9 - 3 * -1}{2}\)
\(B = \frac{9 + 3}{2}\)
\(B = \frac{12}{2}\)
\(B = 6\)
A = -1 and B = 6
\(3A + 2B = 9\) ---- (1)
\(7A + 3B =11\) ---- (2)
So:
\(f(x) = A\)
\(f(x) = -1\)
\(g(x) =B\)
\(g(x) =6\)
And the decomposition is:
\(\frac{-1}{2x + 3} + \frac{6}{3x + 7}\)
2. Complete the truth table for the statement S ^ P.
S P S ^ P T T T F F T F F
Answer:
Step-by-step explanation:
sally collected 15 seashells, but 1/3 were broken. how many shells were broken?
Answer:
5 shells were broken.
Step-by-step explanation:
To find how many shells were broken, we must multiply the amount broken to the total to find the number of shells broken.
1/3 * 15=5
825 use each digit once. make the smallest 3digit number
Step-by-step explanation:
Given: To make smallest 3-digit number of 825.
To find: The smallest 3-digit number of 825.
Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...
Final answer: The smallest 3-digit number of 825 is 258.
hope it helps
Answer:
258
Step-by-step explanation:
We are given 3 numbers:
8 2 5
And we are asked to find the smallest 3 digit number using those 3 digits above.
To make the smallest number, place the numbers in value from least to greatest:
2 5 8
This is your 3 digit number: 258.
Hope this helps! :)
how many numbers can be squared to get a value of $0$
Answer:
Any number basically because anything times zero is ALWAYS zero.
Step-by-step explanation:
Two rectangles are similar . The first rectangle is 14 units long and 6 units wide . The second rectangle is 22.4 units long and 9.6 units wide . What is the scale factor used to get from the first rectangle to the second rectangle
Answer:
8
Step-by-step explanation:
There are 56 sheep in a paddock. Each sheep is either black or white. There are 6 times as many white sheep than black sheep. How many black sheep are there?
Here we want to make a system of equations and solve it, in this way, we will see that there are 8 black sheep.
first, let's define the variables:
x = number of black sheep
y = number of white sheep.
We know that:
"there are 56 sheep"
Then we can write:
\(x + y = 56\)
We also know that there are 6 times as many white sheep than black sheep, this means that:
\(y = 6 \cdot x\)
Then we have a system of equations:
\(x + y = 56\)
\(y = 6\cdot x\)
To solve this we need to start by isolating one of the variables in one of the equations. Here, we can see that the variable y is already isolated in the second equation, so we can use that.
Now we can replace that variable in the other equation:
\(x + y = 56\)
\(x + 6\cdot x = 56\)
Now we can solve this for x, the number of black sheep:
\(7\cdot x = 56\\\\x = 56/7 = 8\)
There are 8 black sheep.
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M=3n/4 if n=8 find M
Answer:
\(M=6\)
Step-by-step explanation:
\(M=\frac{3\cdot8}{4}\)
Solve
Step 1: Multiply the numbers
\(3\cdot \:8=24\)
Step 2: Divide
\(\frac{24}{4}=6\)
\(M=6\)
HELPPP MEEEEE PLSSS PLSSS
Answer:
Below
Step-by-step explanation:
-4 1/4 + 5 3/8
-17/4 + 43/8
-34/8 + 43/8 = 9/8 = 1 1/8
Answer:
Step-by-step explanation:
1 1/8
I converted the numbers into a mixed number
The first one was -17/4 and the other one was -43/8 but I had to find a common denominator so I multiplied the first one by 2 and the 2nd by one getting -34/8 and then for the 2nd one it stayed the same which is -43/8.
After I subtracted -34 and -43 and got 9/8 which is equal to 1 1/8
(Hope this is right...if wrong I'm sorry)
Natasha treats herself to some choco-vanilla ice cream. She prepares the treat with
1
8 scoops of chocolate ice cream and 2- times as much vanilla ice cream as chocolate.
2
How much vanilla ice cream does she use?
Answer:
Step-by-step explanation:
ig
How much material does he need
Marcus and his dad were going camping. When they went into the garage to get their tent they noticed it was ripped. Marcus dad said he could fix the tent. He would some new material to cover the one rectangular side that ripped.
to cover the one rectangular side of the tent with the rip? Justify
your answer using equations/formulas, models, and/or words to explain your mathematical
reasoning.
IF Marcus dad wanted to re-cover the whole tent including the bottom, how much material would he need? justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
Please help!!
Answer:
75 and 246
Step-by-step explanation:1) i multiply 10 by 15 to get to get 150 since we are multiplying both sidesw of the tent i cut it in half to get my final answer of 75
2)first what i did was multiply 8 by 18 to get a answer of 96 next i multiply 10 by 15 to get 150 and lasly i add trhe two numbers up to get my final answer 246
Find the common difference of the arithmetic sequence -19, -16, -13, ...
Answer:
d= +3
Step-by-step explanation:
1st term = -19
2nd term = -16
d = 2nd - 1st
d= -16-(-19)
d = +3
David is trying to pick out an outfit for the first day of school. He can choose from 8 pairs of pants, 8 t-shirts, 4 sweaters or hoodies, and 3 pairs of shoes. How many different outfits does David have to choose from?
The number of the different outfits do David have to choose is 768.
Here we will use the concept of Combinations,
Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
Different outfits do Damian have to choose, will be;
⇒ 8C₁×4C₁×8C₁×3C₁
⇒ 8×4×8×3
⇒ 768
Hence, the number of the different outfits do David have to select is 768.
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A catapult launches a pumpkin from the base of a hill. The
hill follows an incline with the height in meters, y, in terms
of horizontal distance in meters, x, given by the equation
y=0.9x. The height of the pumpkin, as it is launched up-
hill, is given by the function y = -0.1x² +4.9x¸
What is the height, in meters, where the pumpkin lands on
the hill?
A catapult launches a pumpkin from the base of a hill. The hill follows an incline with the height in meters, y, in terms of horizontal distance in meters, x, given by the equation y=0.9x. 40m is the height, where the pumpkin lands on the hill.
What is horizontal distance?The term "horizontal distance" refers to the separation between two places measured with a slope of 0%. Vertical distance is the distance following the direction of gravity, while horizontal distance is the distance along the ground surface. The distance between an observer and a building represents as that of an example of horizontal distance, and the structure's height serves as an illustration of vertical distance. A projectile's range is the horizontal distance it covers. Horizontal refers to something that is parallel to it. Anything that forms a 90-degree angle (right angle) with the horizontal or the horizon is referred to as vertical since it is the opposite of the horizontal. The line that spans from left to right is therefore considered to be horizontal.
Given that,
The hill follows an incline with the height in meters y,
in terms of horizontal distance in meters x,
The given equation becomes: y = 0.9x
The height of the pumpkin, as it is launched up hill, is given by the function:
y = -0.1x² + 4.9x
now, finding point of intersection, we get:
0.9x = -0.1x² + 4.9x [as y = 0.9x]
or, 0.1x² - 4x = 0
or, x (0.1x - 4) = 0
or, x = 0 (this is not possible)
and 0.1x = 4
or, x = 40
40 is the height, in meters, where the pumpkin lands on the hill.
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