The value of your stock-investment in a certain company decreased 20% over the last year. If the value of your stock
investment is $16,000 today, then what was the value of your stock investment a year ago? Round your answer to the
nearest cent, if necessary.

Answer:

1/y^2

Step-by-step explanation:

y^8/y^10 = 1/y^2 ( y^-2 )

Point (-4, -5) is located in quadrant III.

The correct option is C.

We have the point (-4, -5)

The following are the symbol of coordinate as

Here, the x and y both coordinate are Negative which shows the point lie in III Quadrant.

Learn more about Cartesian plane here:

https://brainly.com/question/29013810

#SPJ1

John read the least.

We have,

We can find out who read the least by comparing the percentages of the book each student read.

John read 65% of the book, which means he has 35% of the book left to read.

Hannah read 75% of the book, which means she has 25% of the book left to read.

Since Hannah has a smaller percentage of the book left to read, she has read more of the book than John.

Therefore,

John read the least.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ1

The measure of angle ZXY is given as follows:

m < ZXY = 58º.

The value of x is obtained applying the angle bisection theorem, which divides an angle into two angles of equal measure, hence the opposite segments also have equal length.

For this problem, we have that angle ZXY is bisected as follows:

Hence the measure of angle ZXY is given as follows:

m < ZXY = 2 x 29º = 58º.

(the bisection divides the angle into two parts of equal measure, hence the total measure is given by the sum of these measures).

More can be learned about angle bisection at brainly.com/question/24677341

#SPJ1

Answer:

A:1/3

Step-by-step explanation:

There are 6 possible outcomes when Sauli rolls the number cube, with each outcome having an equal probability of 1/6. To find the probability of rolling a number greater than 4, we need to count the number of favorable outcomes, which are the numbers 5 and 6.

Therefore, the probability of rolling a number greater than 4 is 2 favorable outcomes out of 6 possible outcomes, which simplifies to 1/3.

So the answer is A. 1/3.

Trailing zeroes are significant in numbers that have a decimal point, but they are not significant in numbers that do not have a decimal point.

Trailing zeroes can have different levels of significance depending on whether the number has a decimal point or not. In a number without a decimal point, trailing zeroes are generally not significant.

For example, the number 1,200 could also be written as 1,200.0 or 1,200.00, but the additional zeroes do not change the value of the number and are therefore not significant.

On the other hand, in a number with a decimal point, trailing zeroes may be significant.

For example, the number 3.50 has two significant figures because the zeroes after the decimal point indicate that the measurement was taken to the nearest hundredth. Removing the zeroes would change the value and accuracy of the number.

Therefore, it is important to consider the context and purpose of the number when determining the significance of trailing zeroes.

Know more about Trailing zeroes here:

https://brainly.com/question/7765520

#SPJ11

The area of grass the groundkeepers need to cover is  10, 343. 74 square meters

To determine the area of the rectangle, we have;

Area = length × width

Now, substitute the values, we have;

Area = 73 (84.39)

Multiply the values

Area = 6160. 47 m²

The remaining part is a circle

radius = 73/2 = 36. 5

Area of a circle = πr²

Substitute the values

Area = 3.14 × 36.5²

find the square

Area = 4183. 27 m²

Add the areas = 10, 343. 74 square meters

Learn about area at: https://brainly.com/question/25292087

#SPJ1

Answer:the best predicted value of ý when the twin born first has an IQ of 109 is 107.50

Step-by-step explanation:

Given the regression equation:

ŷ = -2.59 + 1.01x

We need to predict the value of ý when x (IQ score of the twin born first) is 109.

So we substitute x = 109 into the regression equation:

ŷ = -2.59 + 1.01(109)

ŷ = -2.59 + 110.09

ŷ = 107.50

Therefore, the best predicted value of ý when the twin born first has an IQ of 109 is 107.50.

The height on the wall that the ladder reaches is approximately 21.04feet.

Angle made by ladder against the wall = 68 degrees.

Distance between foot of the ladder and wall = 8.5 feet

Use trigonometry function  ,

Let us consider the height on the wall that the ladder reaches as 'h'.

Use the tangent function,

tan α = height on wall ladder reaches / distance between wall and foot of the ladder

⇒ tan(68°) = h / 8.5

Solving for h, we get,

⇒h = 8.5 × tan(68°)

⇒h = 8.5 × 2.475

⇒ h = 21.04 feet (Rounding to the nearest hundredth)

Therefore, ladder reaches a height of approximately 21.04 feet on the wall.

learn more about height here

brainly.com/question/26140073

#SPJ4

Answer:

Step-by-step explanation:

bottom middle, top middle, left bottom

The coefficient of static friction is typically larger than the coefficient of kinetic friction. This is because static friction needs to be overcome to initiate motion, while kinetic friction acts during the motion, which usually requires less force to maintain.

1. Difference between static and kinetic friction: -

Static friction occurs when two surfaces are not moving relative to each other. It opposes the force that is trying to make the objects move. -

Kinetic friction, on the other hand, occurs when two surfaces are moving relative to each other. It acts against the direction of motion.

2. Normal force: - The normal force is a perpendicular force exerted by a surface on an object resting on it. It acts perpendicular to the contact surface and balances the weight of the object.

3. Relationship between friction and normal force: - The frictional force (both static and kinetic) is directly proportional to the normal force acting on an object.

Mathematically, F_friction = μ * F_normal, where F_friction is the frictional force, μ is the coefficient of friction, and F_normal is the normal force.

4. Wheel friction type: - A wheel experiences static friction at the point of contact with the surface because there's no relative motion between the wheel's contact point and the surface. The rest of the wheel experiences kinetic friction as it moves in relation to the surface.

5. Comparison between coefficients of static and kinetic friction: - The coefficient of static friction is typically larger than the coefficient of kinetic friction. This is because static friction needs to be overcome to initiate motion, while kinetic friction acts during the motion, which usually requires less force to maintain.

Learn more about Static friction,

https://brainly.com/question/30031223

#SPJ11

The given function is in vertex form, which is:

f(x) = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

Comparing the given function to the vertex form, we can see that a = -1, h = 3, and k = 8.

Therefore, the vertex of the graph is at the point (h, k) = (3, 8).

So the coordinates of the vertex of the graph are (3, 8).

If it takes 48 days for patch to cover entire lake, then it will take (a) 47 days to cover the half of lake.

The patch of Lilypad doubles in size every day, so, we use the exponential growth to represent its size.

Let the initial size of patch be = "P" and

Let the final size of the patch (when it covers the entire lake) be = "L",

So, we have , L = 2⁴⁸ × P,

We have to find out how long it takes for patch to cover half of lake.

Let the size of patch at that point be = "H", where "H" is half the size of L,

Which is written as : H = L/2 = 2⁴⁷ × P,          ...equation(1)

Let the number of days to cover half lake be = "d",

So, we write equation to solve for the number of days it takes for the patch to reach size "H",

⇒ H = [tex]2^{d}[/tex] × P,

Substituting the value of "H" from equation(1),

We get,

⇒ 2⁴⁷ × P = [tex]2^{d}[/tex] × P,

Simplifying further,

We get,

⇒ 2⁴⁷ = [tex]2^{d}[/tex],

Since, the base is same, we can equate the power,

We get,

⇒ d = 47,

Therefore, it takes 47 days for the patch to cover half the lake, Correct option is (a).

Learn more about Lake here

https://brainly.com/question/17083640

#SPJ4

The given question is incomplete, the complete question is

In a lake, there is a patch of Lilypad. Every day, the patch doubles in size, if it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half the lake?

(a) 47 days

(b) 24 days

(c) 12 days

(d) 36 days

Putting it all together, we get: A which is an orthogonal matrix with the first row being a multiple of (3, 3, 0).

An orthogonal matrix is a square matrix whose columns and rows are orthonormal vectors, i.e., each column and row has unit length and is orthogonal to the other columns and rows.

Let's start by finding a vector that is orthogonal to (3, 3, 0). We can take the cross product of (3, 3, 0) and (0, 0, 1) to get such a vector:

(3, 3, 0) x (0, 0, 1) = (3*(-1), 3*(0), 3*(0)) = (-3, 0, 0)

Note that this vector has length 3, so we can divide it by 3 to get a unit vector:

(-3/3, 0/3, 0/3) = (-1, 0, 0)

So, the first row of the orthogonal matrix A can be (-3, 0, 0) or a multiple of it. For simplicity, we'll take it to be (-3, 0, 0).

To find the remaining two rows, we need to find two more orthonormal vectors that are orthogonal to each other and to (-3, 0, 0). One way to do this is to use the Gram-Schmidt process.

Let's start with the vector (0, 1, 0). We subtract its projection onto (-3, 0, 0) to get a vector that is orthogonal to (-3, 0, 0):

v1 = (0, 1, 0) - ((0, 1, 0) dot (-3, 0, 0)) / ||(-3, 0, 0)||^2 * (-3, 0, 0)

= (0, 1, 0) - 0 / 9 * (-3, 0, 0)

= (0, 1, 0)

We can then normalize this vector to get a unit vector:

v1' = (0, 1, 0) / ||(0, 1, 0)|| = (0, 1, 0)

So, the second row of the orthogonal matrix A is (0, 1, 0).

To find the third row, we take the cross product of (-3, 0, 0) and (0, 1, 0) to get a vector that is orthogonal to both:

(-3, 0, 0) x (0, 1, 0) = (0, 0, -3)

We normalize this vector to get a unit vector:

v2' = (0, 0, -3) / ||(0, 0, -3)|| = (0, 0, -1)

So, the third row of the orthogonal matrix A is (0, 0, -1).

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

To know more about matrix,

brainly.com/question/30389982

#SPJ11

Answer:

To determine who will win the derby, we can divide the total distance (25 meters) by the distance covered in every 2 seconds (3 meters):

25 meters / 3 meters every 2 seconds = 8.33

This means that the go-kart will cover the distance 8 times and partially complete another cycle before reaching the finish line. Therefore, whoever completes the 9th cycle first will win the derby. Since we don't have any information about the other competitors, we cannot determine who will win the derby.

Step-by-step explanation:

Answer:

the shortest side = 22 cm

the medium side = 54 cm

the longest side = 66 cm

Step-by-step explanation:

Let the shortest side = x

As the longest side is three times longer than the shortest side,

the longest side = 3x

As the medium side is ten more than twice the shortest side,

the medium side = 2x+10

the perimeter = 142

x+3x+2x+10 = 142

6x+10 = 142

6x = 142-10

6x = 132

x = 22

the shortest side = 22 cm

the longest side = 3*22 = 66 cm

the medium side = (2*22)+10 = 44+10 = 54 cm

Almost 1.79 million population out of 44.7 million population is aged 65 or above.

It is given that in 2015, there were 44.7 million people in Ukraine. 4% of the population were aged 65 or above.

Assume that the population with age 65 or over in 2015 be {x}. Then, we can write that -

{x} = 4% of 44.7

{x} = (4/100) x 44.7

{x} = 1/25 x 44.7

{x} = 1.79 million

Therefore, almost 1.79 million population out of 44.7 million population is aged 65 or above.

To solve more questions on percentage, visit the link below-

https://brainly.com/question/19034579

#SPJ1

The function that best models the data is r(x) = 480(1.093)^x

We have,

We can use the exponential function to model the data since the net revenue increases rapidly with time.

Let's try to find the general form of the exponential function:

r(x) = ab^x

where a and b are constants to be determined.

To find the value of b, we can use the information that the revenue doubles every 15 months.

So, we have:

r(15) = 2r(0)

where r(0) is the initial revenue.

Substituting the values from the table, we get:

960 = 2r(0)

r(0) = 480

Therefore,

r(x) = 480b^x

To find the value of b, we can use any two data points from the table.

Let's use the first and fifth data points:

r(3) = 274 = 480b³

r(15) = 960 = 480b^15

Dividing the second equation by the first equation, we get:

960/274 = (480b^15)/(480b³)

3.5036 = b^12

b = 1.093

Therefore,

The function that best models the data is r(x) = 480(1.093)^x

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

Answer:

50°

Step-by-step explanation:

96°+34°=130°

A whole triangle is made up of 180°

So 180°-130°= 50°

By using the formed equation we can conclude that, there are 36 students in John's homeroom.

What is equation?

In mathematics, an equation is a statement that shows the equality of two expressions. An equation usually contains one or more variables, which are unknown values that can be solved for using mathematical operations.

Let's use x to represent the total number of students in John's homeroom.

According to the problem, 1/3 of the students walk to school and 1/4 come by car. That means:

(1/3)x + (1/4)x = number of students who don't come by school bus

(1/3)x + (1/4)x = total number of students - number of students who come by school bus

(1/3)x + (1/4)x = x - 15

To solve for x, we can combine the fractions:

(4/12)x + (3/12)x = x - 15

(7/12)x = x - 15

Next, we can isolate x on one side of the equation:

(7/12)x - x = -15

(-5/12)x = -15

x = (-15)/(-5/12)

x = 36

Therefore, there are 36 students in John's homeroom.

To learn more about equation visit:

https://brainly.com/question/29174899

#SPJ1

Answer:

22+b = t

Step-by-step explanation:

22+b= t, where t is the total number of books in the past two months.

Graham's Law states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass. So, for two gases A and B, the ratio of their rates of diffusion (rA/rB) can be expressed as: rA/rB = √(MB/MA).

In the Graham's Law experiment, the ratio of rates should have been calculated by dividing the rate of effusion/diffusion of gas A by the rate of effusion/diffusion of gas B.

The ratio of rates should ideally be equal to the square root of the reciprocal of the molar masses of the gases being compared. However, there may be differences due to experimental error, variations in temperature, pressure, and other factors that may affect the results. To account for these differences, it is important to repeat the experiment multiple times and take the average of the results.

Additionally, it may be necessary to adjust the experimental conditions to minimize any sources of error and ensure accurate measurements.

To determine the ratio of rates for the Graham's Law experiment, you can follow these steps:

1. Identify the two gases involved in the experiment and their molar masses.
2. Calculate the square root of the inverse molar masses for each gas.
3. Divide the result for the lighter gas by the result for the heavier gas.

Graham's Law states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass. So, for two gases A and B, the ratio of their rates of diffusion (rA/rB) can be expressed as:
rA/rB = √(MB/MA)

Know more about the Graham's Law

https://brainly.com/question/12415336

#SPJ11

Answer:

105

Step-by-step explanation:

we can draw the line (9 cm) perpendicular to the line (11 cm)

so we get a rectangle and a right triangle

the area of the rectangle :

A = length * width

A = 15 * 6

A = 90

the base of the right triangle = 15 - 9 = 6

the height of the right triangle = 11 - 6 = 5

the area of the right triangle :

A = 1/2*base*height

A = 1/2*6*5

A = 15

the Area of the shape = area of rectangle+area of right triangle

the Area of the shape = 90+15

A = 105

Answer:

A letter or symbol that represents a specific number, known or unknown is called a constant.

Step-by-step explanation:

if it helped u please mark me a brainliest :-/

Answer:

55 Units Squared

Step-by-step explanation:

Since the area of a rectangle is length multiplied by width, you can go about solving this by multiplying 5 by 11, which gives us 55.

Answer:

Step-by-step explanation:

The area of a rectangle that’s 11 units long and 5 units wide can be calculated by multiplying 11 x 5.

Option C is the correct answer.We have,

To find the area of a rectangle, you need to multiply its length by its width.

In this case,

The length is 11 units and the width is 5 units.

So,

The area of the rectangle is:

= 11 x 5

= 55 square unitsA rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

Answer:

The answer would be 3(9e+8)

____________________________________

____________________________________

Answer: 84

Step-by-step explanation: Assuming you know ether equation for area—length × width × height… by plugging in the numbers to the equation, you get 3×4×7. When all is multiplied, you get a total of 84.

Hope this helps ^^

Answer:

569

Step-by-step explanation:

because of the reduction price the amount will be 7 over hundred divided by the2568

Answer: 569

Step-by-step explanation: Got it in a question and is correct