Suppose a stock drops in value by 60% one week then increases in value the next week by 75% is the value higher or lower then when u started and by how much
The value of the stock at the end of the two weeks would be 70, which is 30% lower than the starting value of 100.
What is Algebraic expression ?
An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. It typically represents a mathematical relationship or formula and can be used to solve problems and make predictions.
Assuming you started with a value of 100, the value of the stock would be lower after these two weeks.
In the first week, the stock dropped by 60%, which means its value decreased to 40% of its original value. Therefore, the value of the stock at the end of the first week would be:
100 * 0.4 = 40
In the second week, the stock increased in value by 75%. Therefore, the value of the stock at the end of the second week would be:
40 * 1.75 = 70
Therefore, the value of the stock at the end of the two weeks would be 70, which is 30% lower than the starting value of 100.
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If the sum of a number and 3 is doubled, the result is one less than the number. Find the number.
The unknown number that is summed with 3 and double whose result is one less that the number would be = -7
How to determine the unknown number used above?To determine the unknown number, let the unknown number be = n
From the question statement;
2(n + 3) = n-1
2n + 6 = n-1
Bring the like terms together;
2n-n = -6-1
n = -7
Therefore, the number that represents the unknown number used in the statement above would be = -7.
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This is so hard. Can you help me with this?
Answer: 70, 6
Step-by-step explanation:
(a) For <F that is the same as <D. The image has little hash marks to indicates the sides across from those angles are the same; therefore, the angles are the same
All of the angles are = 180 if you subtract <E, you are left with 140 to be split between <F and <D
<F= 70
(b) all of the sides are the same because all the angles are the same
so AB=6
Using the information in the table, how many milliliters are in 7 kiloliters?
7,000 mL
700,000 mL
kiloliters (KL) liters (L) milliliters (ml)
3
4
5
3,000
4,000
5,000
3,000,000
4,000,000
5,000,000
70,000 mL
7,000,000 mL
Answer:
7e+6
Step-by-step explanation:
biggest answer
help please i need help with this answer
The initial value (a) of the exponential function f(x) = 4ˣ is 1.
How to solve an exponential equation?The standard form of an exponential equation is:
y = abˣ
where a is the initial value and b is the multiplication factor.
If b > 1, it is a growth function and if b < 1, it is a decay function.
Given the exponential function:
f(x) = 4ˣ
The initial value (a) = 1 and the multiplication factor (b) = 4.
The graph of the exponential function f(x) = 4ˣ is attached below.
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how much money does she make all together in one week
needs more explanation
Which line is parallel to the line
and passes through the point (-2, 1)?
The equation of the line parallel is y = mx + (1 + 2m).
We have,
The equation of the line.
y = mx + c
Slope = m
And,
(-2, 1) = (x, y)
So,
1 = m x -2 + c
c = 1 + 2m
Now,
y = mx + c
y = mx + (1 + 2m)
Thus,
The equation of the line parallel is y = mx + (1 + 2m).
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Find the lengths of each triangle…
2x ft
6x ft
200ft
Answer:
[tex]2x=20\sqrt{10}\; \textsf{ft} \approx 63.25\; \sf ft[/tex]
[tex]6x=60\sqrt{10}\; \textsf{ft} \approx 189.74\; \sf ft[/tex]
Step-by-step explanation:
Assuming the given triangle is a right triangle, we can use Pythagoras Theorem to calculate the value of x and then find the measurers of the side lengths.
Pythagoras Theorem[tex]\large{\boxed{a^2+b^2=c^2}[/tex]
where:
a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.From inspection of the given diagram:
a = 2xb = 6xc = 200Substitute these values into the formula and solve for x.
[tex]\begin{aligned} (2x)^2+(6x)^2&=200^2\\2^2\cdot x^2+6^2\cdot x^2&=40000\\4x^2+36x^2&=40000\\40x^2&=40000\\x^2&=1000\\x&=\sqrt{1000}\\x&=\sqrt{100 \cdot 10}\\x&=\sqrt{100}{\sqrt{10}\\x&=10\sqrt{10}\end{aligned}[/tex]
Substitute the found value of x into the expression for each side length.
[tex]2x=2 \cdot 10\sqrt{10}=20\sqrt{10}[/tex]
[tex]6x=6\cdot 10\sqrt{10}=60\sqrt{10}[/tex]
Therefore, the exact side lengths of the given right triangle are:
[tex]20\sqrt{10}\; \textsf{ft}, \;\;60\sqrt{10}\; \textsf{ft}, \;\; 200\; \textsf{ft}[/tex]
The side lengths to the nearest hundredth are:
63.25 ft189.74 ft200 ftIf a1 =9 and an n-1 +2 then find the value of a5
Given that a₁ = 9 and aₙ = aₙ₋₁ + 2 , we can find the value of a5 by repeatedly applying the recursive formula to find a₂, a₃, a₄, and a₅.Using this method, we get a₅ is 17.
The given sequence is not defined explicitly. However, we can use the recursive formula to find the value of a5.
a₁ = 9 and aₙ = aₙ₋₁ + 2 for n > 1
To find a₂, we use the recursive formula
a₂ = a₁ + 2 = 9 + 2 = 11
To find a₃, we use the recursive formula
a₃ = a₂ + 2 = 11 + 2 = 13
To find a₄, we use the recursive formula
a₄ = a₃ + 2 = 13 + 2 = 15
To find a5, we use the recursive formula
a₅ = a₄ + 2 = 15 + 2 = 17
Therefore, the value of a₅ is 17.
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Please help!!!
The number of miles m (in billions) traveled by vehicles in City A can be modeled by
2.86 + 112 where t is the number of years since 1994. Use a graphing calculator to
approximate the year in which the number of vehicle miles of travel in City A was 140 billion.
m ==
Based on the linear model, the number of vehicle miles of travel in City A was 140 billion in the
year
The year in which the number of vehicle miles of travel in City A was 140 billion is 9.79 years. Thus, the linear model suggests that the number of vehicle miles traveled in city A was 140 billion in the 10th year approximately.
What is a linear model?The word linear model is used differently in statistics depending on the context. The most common usage is in relation to regression models, and the phrase is frequently used interchangeably with linear regression models.
To derive the number of year,
140 = 2.86t + 112
Subtracting 112 from both sides gives:
28 = 2.86t
Dividing both sides by 2.86 gives:
t ≈ 9.79 years
See attached graph.
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Using the net below, find the surface area
of the pyramid.
7\in.
4 in.
4 in.
Surface Area = [?] in.2
The surface area of the pyramid is approximately 74.24 square inches.
What is a pyramid?
A pyramid is a three-dimensional geometric shape that has a polygonal base and triangular faces that meet at a single point called the apex. The most common type of pyramid is a square pyramid, which has a square base and four triangular faces.
To find the surface area of the pyramid, we need to find the area of each of the four triangular faces and the area of the square base, and then add them up.
The area of each triangular face can be found using the formula:
Area = (1/2) * base * height
where the base is one of the sides of the square base and the height is the slant height of the pyramid.
The slant height of the pyramid can be found using the Pythagorean theorem:
slant height² = height² + (1/2 * base)²
where the height is the height of the pyramid, which is given as 7 inches, and the base is 4 inches.
height = 7 in.
base = 4 in.
slant height² = 7² + (1/2 * 4)² = 49 + 4 = 53
slant height = √53 ≈ 7.28 in.
Now we can find the area of each triangular face:
Area = (1/2) * base * height = (1/2) * 4 * 7.28 ≈ 14.56 in^2
There are four triangular faces, so the total area of the triangular faces is:
4 * 14.56 = 58.24 in²
The area of the square base is:
Area = side² = 4² = 16 in²
Finally, we can find the surface area of the pyramid by adding up the area of the triangular faces and the area of the square base:
Surface Area = 58.24 + 16 = 74.24 in²
Therefore, the surface area of the pyramid is approximately 74.24 square inches.
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James is performing statistical analysis to determine whether the effects of the treatment in his experiment might actually have reflected a chance occurrence; Kendra is performing an analysis to combine the results of a number of experiments to yield an overall conclusion. James is performing a _____, Kendra, a _____.
Hello !
James is performing statistical analysis to determine whether the effects of the treatment in his experiment might actually have reflected a chance occurrence; Kendra is performing an analysis to combine the results of a number of experiments to yield an overall conclusion. James is performing a significance test, Kendra, a meta-analysis.
i need answer for this with explanation
Answer:
53yd
Step-by-step explanation:
SA1 = 2(4×2)
= 2×8
= 16
SA2 = 2(4×3)
= 2×12
= 24
SA3 = 2(3×2)
= 2×6
= 12
TOTAL SA
16+24+13
= 53
helppp I need help pleaseeeeeee
The new matrix from an elementary row operation to get a 1, in row 1 column 1 will have:
R₁ = [1 -10 2] and R₂ = [-12 7 -13]
What is a matrix row operationRow operations are a set of operations that can be performed on the rows of a matrix in order to transform it into a row equivalent matrix, which has the same solution set as the original matrix.
The row operation R₁ - 6 — R₁ will be carried out as follows:
7 - 6 = 1 {row 1 column 1}
-4 - 6 = 5 {row column 2}
8 - 6 = -8 {row column 3}
Therefore, the resulting matrix from an elementary row operation to get a 1, in row 1 column 1 will have:
R₁ = [1 -10 2] and R₂ = [-12 7 -13]
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You buy a $256,000 home with a down payment of 24%. Find the amount of the down payment and the mortgage amount.
The amount of the down payment and the mortgage amount are $61440 and $194560
Finding the amount of the down payment and the mortgage amount.From the question, we have the following parameters that can be used in our computation:
Buy a $256,000 home with a down payment of 24%
This means that
down payment = 24% * 256,000
So, we have
down payment = 61440
Next, we have
mortgage amount = (1 - 24%) * 256,000
So, we have
mortgage amount = 194560
Hence, the mortgage amount is 194560
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A side of the triangle below has been extended to form an exterior angle of 125°. Find the value of
From the given triangle, x has a value of 35°.
As a result, one of the triangle's sides has been stretched to create an exterior angle of 125° outside angle.
Which angles are adjacent?Angles that are always located near one another, sharing a similar vertex and common side but not overlapping, are said to be adjacent angles.
According to the above figure, the tringle's exterior angle is 125°, and y is an adjacent angle to that.
Now, 125°+ y =180°
y = 180°-125°
y = 55°
As a result, the supplied triangle's value for y is 55°.
The sum of the triangle law,
55°+ 90° + x = 180°
x = 35°
Therefore the value of x = 35°
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1 Place an X in the table to show the solution that makes each equation true. 6+x=15 244 X 9x = 18 x=9
Step-by-step explanation:
| Equation | Solution |
| 6+x=15 | x = 9 |
| 9x = 18 | x = 2 |
The table would look like:
| Equation | Solution |
| 6+x=15 | X |
| 9x = 18 | X |
The solution set of the following equations 2x-y=8 , 3x+2y=5 is ..............
*
Answer:
x = 3,
y = -2
Step-by-step explanation:
Let's write the given equations into a system:
{2x - y = 8,
{3x + 2y = 5;
Let's make y the subject from the 1st equation:
-y = 8 - 2x / × (-1)
y = 2x - 8
Replace y in the 2nd equation with its value from the 1st one:
3x + 2(2x - 8) = 5
Expand the brackets:
3x + 4x - 16 = 5
Collect like-terms:
7x = 5 + 16
7x = 21 / : 7
x = 3
y = 2 × 3 - 8 = -2
Ina Crespo rowed 16 miles down the Habashabee River in 2 hours, but the return trip took her 4 hours. Find the rate Ina rows in still water and the rate of the current. Let x represent the rate Ina can row in still water and let y represent the rate of the current. I need help asap
Answer:ina can row 6mph in still water and 2 mph in current
Step-by-step explanation:
A ferris wheel is 40 meters in diameter and boarded from a platform that is 1 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. The function h = f(t) gives your height in meters above the ground t minutes after the wheel begins to turn. Write an equation for h = f(t).
The height of the person on the ferris wheel can be modeled by the equation:
h = 20sin(π/4*t) + 21
where h is the height in meters above the ground, t is the time in minutes, and 21 meters is added to account for the height of the platform.
HELP PLEASE I REALLY NEED HELP ON THIS QUESTION HELP!
The number for which the theoretical probability matches the experimental probability is 2.
What is experimental and theoretical probability?
Experimental probability and theoretical probability are two different ways to determine the likelihood of an event occurring.
Experimental probability is determined by performing an experiment or conducting observations and collecting data to see how often an event occurs. This method involves counting the number of times an event occurs and dividing that number by the total number of trials or observations.
Theoretical probability, on the other hand, is determined by using mathematical principles and calculations to determine the likelihood of an event occurring. It is based on the assumption that all outcomes are equally likely.
In the given table;
For theoretical, P(2) = 1/4
For experimental, P(7) = 7/28 = 1/4
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Help pleasee
here is the picture is about Row Ops
The result of the carrying out the operation, Add -4(row 1) to row 3, on the given matrix is:
[tex]\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\0&-9&2&12\end{array}\right][/tex]
Reducing row matricesFrom the question, we are to perform the given row operation on the given matrix
The given matrix is:
[tex]\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\4&-1&6&-8\end{array}\right][/tex]
Now,
From the given information,
The operation we are to carry out is:
Add -4(row 1) to row 3
This means we are to multiply the first row by -4. Then, we will add the results to the corresponding elements on the third row (row)
Multiplying by -4
-4 × [ 1 2 1 | -5
-4 -8 -4 | 20
Now, we will add the result from the multiplication to the corresponding elements in row 3
Adding the results to corresponding elements in row 3
4 -1 6 | -8
+ -4 -8 -4 | 20
------------------------
0 -9 2 | 12
Hence,
The resulting matrix becomes
[tex]\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\0&-9&2&12\end{array}\right][/tex]
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How many seconds does the ball reach its maximum height using the equation
h(t)= -0.2t^2 + 2t
5 seconds.
Step-by-step explanation:1. Find the "x" position of the vertex of the equation.In a function expressing altitute (h) in terms of time (t), finding the vertex will provide the time and altitute when the object reaches the maximum height. Therefore, let's use the vertex formula to see exactly when this happens:
"x" vertex value: [tex]-\dfrac{-b}{2a}[/tex]
a) For using that equation, first write the given equation on its standard form.
Standard form of quadratic equations: [tex]ax^{2} +bx+c=0[/tex]
b) You can substitute h(t) by 0 on the origina equation:
[tex]-0.2t^{2} +2t=0[/tex]
c) Idenfity the coefficients.
a= -0.2, beacuse "t²" is being multiplied by -0.2.
b= 2, beacuse "t" is being multiplied by 2.
d) Substitute in the formula and calculate.
[tex]\sf X\,value_{Vertex} =-\dfrac{-b}{2a}=-\dfrac{-(2)}{2(-0.2)}=-\dfrac{-(2)}{-0.4}=5[/tex]
2. Answer.So the "x" value of this h(t) equation is located on x= 5, therefore, the maximum point happens at x= 5. Since this is an equation that expresses altitute in terms of time, this means that 5 seconds after the object starts its movement it reaches its maximum altitute.
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Which of the following points represents a striking deviation in the box plot above?
A.
P
B.
R
C.
S
D.
Q
Answer:
A. P
Step-by-step explanation:
You want to identify the point that represents a striking deviation in the given box plot.
IQRThe interquartile range for this box plot is the difference between the upper and lower quartiles:
29 -26 = 3
OutlierThe "fence" that is 1.5 times the IQR below the lower quartile is ...
26 -3·1.5 = 21.5
Point P lies beyond this fence, so is considered an outlier in the data set.
Point P represents a striking deviation, choice A.
<95141404393>
Find the missing variables. Write answer as
number. For example: If answer is 31° type
31
X=
□2°
xº
36°
y=
Z=
yᵒ
75%
78°
The values of missing variables are given by:
x = 51°, y = 105°, z = 90°.
We know that the sum of external and internal angles is 180°.
So from the given figure we can see that y° is the external angle and the corresponding internal angle is 75°.
So, 75° + y° = 180°
y° = 180° - 75° = 105°
And also external angle is right angle that is 90° and the corresponding internal angle is z°.
So, z° + 90° = 180°
z° = 180° - 90° = 90°
This is a pentagon and the sum of all internal angles = (5 - 2)180° = 3*180° = 540°
According to the given figure the sum of all internal angles of the pentagon is = (180° - 36°) + z° + (180° - x°) + (180° - 78°) + 75° = 144° + 90° + 180° - x + 102° + 75° = 591° - x.
So, 591° - x = 540°
x = 591° - 540° = 51°
Hence the value of missing variables are: x = 51°, y = 105°, z = 90°.
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The trajectory of a golf ball hit from a tee on the ground at an angle of 40 degrees with an initial speed of 50 meters per second can be modeled by the parabola f(x) = 0.84x − 0.0033x^2, where the x-axis is the ground. Find the height of the highest point of the trajectory and the horizontal distance the golf ball travels before hitting the ground.
Therefore, the horizontal distance the golf ball travels before hitting the ground is approximately 254.55 meters.
What is equation?In mathematics, an equation is a statement that shows the equality between two expressions, typically separated by an equal sign (=). An equation can contain one or more variables, which are symbols that represent unknown or varying values. The value of the variable(s) can be found by solving the equation.
Here,
The equation of the parabolic trajectory of the golf ball is given by:
f(x) = 0.84x - 0.0033x²
where x is the horizontal distance travelled by the ball and f(x) is the corresponding height at that distance. To find the highest point of the trajectory, we need to find the vertex of the parabola. The x-coordinate of the vertex is given by:
x = -b / 2a
where a and b are the coefficients of the quadratic term and the linear term in the equation of the parabola, respectively. In this case, we have:
a = -0.0033 and b = 0.84
Substituting these values into the formula, we get:
x = -0.84 / 2(-0.0033)
= 127.27
So the horizontal distance at the highest point of the trajectory is approximately 127.27 meters. To find the height of the highest point, we substitute this value of x into the equation of the parabola:
f(127.27) = 0.84(127.27) - 0.0033(127.27)²
f(127.27) ≈ 21.67
So the highest point of the trajectory is approximately 21.67 meters above the ground.
To find the horizontal distance the golf ball travels before hitting the ground, we need to find the two values of x where the height of the ball is zero (i.e., where the ball hits the ground). We can set f(x) = 0 and solve for x:
0 = 0.84x - 0.0033x²
0.0033x² = 0.84x
x = 0 or x = 254.55
So the golf ball hits the ground twice, once at x = 0 (i.e., where it was hit from the tee) and once at x ≈ 254.55 meters.
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The number of bacteria present after 13 hours
The number of bacteria present after 13 hours is 5,306.
What is the number of bacteria after 13 hours?
The number of bacteria present after 13 hours is calculated by applying half-life equation.
N = N₀ x 2^(t / d)
Where:
N₀ is the initial number of bacteria (3,000)N is the final number of bacteria we want to findt is the time elapsed d is the doubling time of the bacteria populationSince the bacteria population grew from 3,000 to 3,600 in 6 hours, the value of d is calculated as follows;
3,600 = 3,000 x 2^(6 / d)
3600/3000 = 2^(6 / d)
1.2 = 2^(6 / d)
log2 (1.2) = 6/d
0.38 = 6/d
d = 6/0.38
d = 15.8 hours
The number of bacteria after 13 hours is calculated as follows;
N = 3,000 x 2^(13 / 15.8)
N = 5,306.5 ≈ 5,306
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The complete question is below:
A culture started with 3,000 bacteria. After 6 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present in 13 hours. round your answer to the nearest whole number.
You have $12,000 to invest and want to keep your money invested for 8 years. You are considering the following investment options. Choose the investment option that will earn you the most money.
In a case wehereby you have $12,000 to invest and want to keep your money invested for 8 years the investment option that will earn you the most money is c.4.175% compounded annually
What is investment compounded annually?When an investment is compounded annually, it means that the interest earned on the investment is added to the principal amount once a year, and the interest is then calculated on the new total amount for the next year.
For example, if you invest $12,000 at an annual interest rate of 8%, compounded annually, at the end of the first year you will earn the interest of ( $12,000 x 8%) = $960
Then new total amount after one year will be $12,000 + $960 = $12 960 ,
This process will continue for each year of the investment and the formula to calculate the future value (FV) of an investment compounded annually is: FV = P(1 + r)^n
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complete quesation:
You have $12,000 to invest and want to keep your money invested for 8 years. You are considering the following investment options. Choose the investment option that will earn you the most money.
a.
3.99% compounded monthly
b.
4% compounded quarterly
c.
4.175% compounded annually
d.
4.2% simple interest
Help please
The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain after 1000 years? -----------
after 1000 years, approximately 259 mg of the original 500 mg sample of Radium-226 will remain.
what is approximately ?
Approximately means "about" or "roughly" and is used to indicate an estimated or approximate value or quantity, rather than an exact or precise one. For example, if someone says "the population of the city is approximately 1 million people," it means that the population is around 1 million,
In the given question,
The half-life of Radium-226 is 1590 years, which means that in 1590 years, half of the original sample will have decayed. After another 1590 years (or a total of 2 half-lives), half of the remaining sample will have decayed, leaving 25% of the original sample.
To find how much of the original sample remains after 1000 years, we need to first determine how many half-lives have passed.
Number of half-lives = elapsed time ÷ half-life = 1000 years ÷ 1590 years/half-life = 0.63
So, approximately 0.63 half-lives have passed. Therefore, the fraction of the original sample remaining is:
fraction remaining = (1/2)⁰°⁶³ ≈ 0.518
To find the remaining mass, we can multiply the fraction remaining by the initial mass:
remaining mass = fraction remaining x initial mass
remaining mass = 0.518 x 500 mg ≈ 259 mg
Therefore, after 1000 years, approximately 259 mg of the original 500 mg sample of Radium-226 will remain.
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Help pleaseeeee I would appreciate it
(1) The result of the row operation R₂ ↔ R₃ is [ -5 1 0 8]
[ 8 8 -7 5 ]
[ 2 2 6 -5]
(2) The result of the row operation 3R₁ ↔ R₁ is [24 - 27 -21 - 18]
[8 9 -4 -5]
[2 2 -7 -8]
What is the result of the row operation?
The result of the row operation in the matrix is calculated as follows;
R₂ ↔ R₃, implies changing row 2 and row, and the result would be;
[ -5 1 0 8]
[ 8 8 -7 5 ]
[ 2 2 6 -5]
The result of obtained from 3R₁;
3R₁ = [24 - 27 -21 - 18]
3R₁ ↔ R₁ is determined as; (the row interchange)
[24 - 27 -21 - 18]
[8 9 -4 -5]
[2 2 -7 -8]
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