Daniel borrowed $5000 from the bank for 2 years at 9% simple interest per annum. Calculate how much interest Daniel is charged.

Answer:

a:5400

b:5400

Step-by-step explanation:

if you take 3 and multiply it by 30 then add 60 then it equals 5400

Answer: 1,200 and 1,800

Step-by-step explanation: saw it some where

The relation will not be a function if you complete the table with:

x = 8

x = 6

or

x = -9

A relation maps elements from one set called the domain (represented with the variable x), into elements of another set called the range (represented with the variable y)

A relation is only a function if every element in the domain is mapped into only one element of the range.

So, if we repeat any of the values of the domain that already are in the table (8, 6, -9) then the relation will not be a function, so you can choose any of these 3 values.

Learn more about functions:

https://brainly.com/question/2328150

#SPJ1

Answer: x = 4, y = 6

Step-by-step explanation:

2x = y + 2 (1)

-x + 3y = 14 (2)

From (2):

x - 3y = -14

x = 3y - 14

Plug it into (1):

2(3y - 14) = y + 2

6y - 28 = y + 2

5y = 30

y = 6

Plug it back in again:

x = 3(6) - 14

x = 18 - 14

x = 4

Seriousness is what is being portrayed by the oxymoron and paradox in this excerpt.
Simply put, a serious relationship is one in which you are fully committed to your partner. You are completely open and honest with each other. You trust each other deeply. And you are on the same page together not only from your values ​​and ethics perspective, but also from your future perspective.

Monks do not claim that "moderate" love is more wise than fleeting love, but they guide Romeo to understand the reason for his wisdom and explore their relationship.

For more information about Romeo-Juliet, visit https://brainly.com/question/522792

#SPJ4

the actual area of the bedroom is 324 square feet

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

Given the square bedroom have 3 feet side

The area of the bedroom is = 3² = 9 sq inch

1/2 inch = 3 feet

1 inch = 6 feet

1 square inch = 36 square feet

9 square inch = 36*9 = 324square feet

Hence the actual area of the bedroom is 324 square feet

Learn more about square, by the following link.

brainly.com/question/25092270

#SPJ1

The correct term for a sample obtained in such a way that every element in the population has an equal chance of being selected is a "random sample."

In a random sample, each member of the population has an equal probability of being chosen, providing a representative subset of the population. This sampling method helps to reduce bias and ensures that the sample is more likely to accurately reflect the characteristics of the entire population.

Random sampling is a fundamental principle in statistics and research, allowing for generalizations and inferences to be made about the population based on the characteristics observed in the sample. It is widely used in various fields, such as social sciences, market research, and opinion polls, to draw meaningful conclusions about a larger population.

 To learn more about population click here:brainly.com/question/15889243

#SPJ11

Answer:

1.55

Step-by-step explanation:

The given homogeneous system of equations can be represented as a matrix equation Ax = 0, where A is the coefficient matrix and x is the vector of variables.

To find the solution set in parametric vector form, we can perform row operations on the augmented matrix [A|0] and express the variables in terms of free parameters.

The augmented matrix for the given system is:

[3 3 6 | 0]

[-9 -9 -18 | 0]

[0 -7 -7 | 0]

Using row operations, we can transform this matrix to row-echelon form:

[3 3 6 | 0]

[0 -6 -12 | 0]

[0 0 -7 | 0]

Now, we can express the variables in terms of free parameters. Let x2 = t and x3 = s, where t and s are arbitrary parameters. Solving for x1 in the first row, we get x1 = -2t - 2s.

Therefore, the solution set in parametric vector form is:

x = [-2t - 2s, t, s], where t and s are arbitrary parameters.

To learn more about parametric click here:

brainly.com/question/28537985

#SPJ11

The closest allowable distance that a randomly chosen datum falls within the required 2 standard deviations of the mean is 0.95.

The likelihood that a data is within two standard deviations of the mean

By observation, the distribution depicted in the task content above is a normal distribution.

One can tell the difference between the following .

In the case of a standard normal distribution, 68% of the observations (datum) are within one standard deviation of the mean, 95% are within two standard deviations of the mean, and 99.9% are within three standard deviations of the mean.

On this note, when expressed as a percentage; the probability that the randomly selected datum falls with 2 standard deviations is; 95/100 = 0.95.

To learn more about datum visit:

https://brainly.com/question/29789449

#SPJ4

No, the determinant of a matrix can only be calculated for square matrices. A square matrix has an equal number of rows and columns, while a non-square matrix has a different number of rows and columns.

The determinant is a mathematical property that is defined for square matrices only. It is a scalar value that represents certain characteristics of the matrix. To calculate the determinant of a square matrix, you can use various methods such as expansion by minors, cofactor expansion, or using the properties of determinants.

For example, let's consider a 3x2 non-square matrix:

```

A = [[1, 2],

    [3, 4],

    [5, 6]]

```

Since A is a non-square matrix, we cannot calculate its determinant.

the determinant is a concept applicable only to square matrices. Non-square matrices do not have a determinant.

To know more about determinant  follow the link:

https://brainly.com/question/33731220

#SPJ11

The first derivative of the function `g(u) = u(2u - 3)^3` is `g'(u) = 6u(2u - 3)^2 + (2u - 3)^3`. The second derivative of the function is `g''(u) = 12(u - 1)(2u - 3)^2`.

Given function: `g(u)

= u(2u - 3)^3`

To find the first derivative of the given function, we use the product rule of differentiation.`g(u)

= u(2u - 3)^3`

Differentiating both sides with respect to u, we get:

`g'(u)

= u * d/dx[(2u - 3)^3] + (2u - 3)^3 * d/dx[u]`

Using the chain rule of differentiation, we have:

`g'(u)

= u * 3(2u - 3)^2 * 2 + (2u - 3)^3 * 1`

Simplifying:

`g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`

To find the second derivative, we differentiate the obtained expression for

`g'(u)`:`g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`

Differentiating both sides with respect to u, we get:

`g''(u)

= d/dx[6u(2u - 3)^2] + d/dx[(2u - 3)^3]`

Using the product rule and chain rule of differentiation, we have:

`g''(u)

= 6[(2u - 3)^2] + 12u(2u - 3)(2) + 3[(2u - 3)^2]`

Simplifying:

`g''(u)

= 12(u - 1)(2u - 3)^2`.

The first derivative of the function `g(u)

= u(2u - 3)^3` is `g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`. The second derivative of the function is `g''(u)

= 12(u - 1)(2u - 3)^2`.

To know more about derivative visit:

https://brainly.com/question/29144258

#SPJ11

The first derivative of g(u) is g'(u) = (2u - 3)³ + 6u(2u - 3)², and the second derivative is g''(u) = 12(2u - 3)² + 12u(2u - 3).

First, let's find the first derivative:

g'(u) = (2u - 3)³ * d(u)/du + u * d/dx[(2u - 3)³]

Using the chain rule, we can differentiate (2u - 3)³ and u as follows:

d(u)/du = 1

d/dx[(2u - 3)³] = 3(2u - 3)² * d(2u - 3)/du

= 3(2u - 3)² * 2

Plugging these values back into the equation for g'(u), we have:

g'(u) = (2u - 3)² + u * 3(2u - 3)² * 2

= (2u - 3)³ + 6u(2u - 3)²

Simplifying the expression, we have:

g'(u) = (2u - 3)³ + 6u(2u - 3)²

Now, let's find the second derivative:

g''(u) = d/dx[(2u - 3)³ + 6u(2u - 3)²]

Using the chain rule and product rule, we can differentiate each term:

d/dx[(2u - 3)³] = 3(2u - 3)² * d(2u - 3)/du

= 3(2u - 3)² * 2

d/dx[6u(2u - 3)²] = 6(2u - 3)² + 6u * d/dx[(2u - 3)²]

= 6(2u - 3)² + 6u * 2(2u - 3)

Plugging these values back into the equation for g''(u), we have:

g''(u) = 3(2u - 3)² * 2 + 6(2u - 3)² + 6u * 2(2u - 3)

= 6(2u - 3)² + 6(2u - 3)² + 12u(2u - 3)

= 12(2u - 3)² + 12u(2u - 3)

Simplifying the expression further, we have:

g''(u) = 12(2u - 3)² + 12u(2u - 3)

Therefore, the first derivative of g(u) is g'(u) = (2u - 3)³ + 6u(2u - 3)², and the second derivative is g''(u) = 12(2u - 3)² + 12u(2u - 3).

Learn more on differentiation : https://brainly.com/question/25081524

#SPJ4

The distance from the epicenter of the march 1964 earthquake to crescent city is 2600 kilometers and It took 400 seconds for the first p-wave to reach crescent city

In a seismic event like an earthquake, seismic waves propagate through the Earth at different speeds. The first type of seismic wave to reach a particular location is the primary wave, or P-wave. P-waves are compressional waves that travel faster than other seismic waves, such as S-waves or surface waves.

To calculate the time it took for the P-wave to reach Crescent City, we need to know the speed at which P-waves travel. On average, P-waves travel at a speed of about 6-7 kilometers per second in the Earth's crust. However, this speed can vary depending on the specific properties of the Earth's layers.

Using an average speed of 6.5 kilometers per second, we can calculate the time it took for the P-wave to travel a distance of 2600 kilometers:

Time = Distance / Speed = 2600 km / 6.5 km/s ≈ 400 seconds.

Therefore, it took approximately 400 seconds, or 6 minutes and 40 seconds, for the P-wave to reach Crescent City from the epicenter of the March 1964 earthquake.

It is important to note that the calculated time is an estimation based on average values, and the actual time may vary depending on the specific geological conditions along the propagation path of the P-wave.

Know more about epicenter here:

https://brainly.com/question/4052993

#SPJ8

The value of a is 72.74.

Probability is the study of likeliness of an event to happen.

It is given that

The mean \(\rm \mu\) of the distribution is 70

Standard deviation \(\rm \sigma\)  is 2

p( x<a) = 0.9147

a = ?

From Z table

For p ( p < 0.9147) , z = 1.37

\(\rm Z = \dfrac { X - \mu}{ \sigma}\)

\(\rm \rm 1.37 = \dfrac { a - 70}{ 2}\)

a = 70+ 2*1.37

a = 72.74

Therefore the value of a is 72.74.

To know more about Probability

https://brainly.com/question/11234923

#SPJ1

Answer:

Explanation:

The slope of the line,

m

, is found by

m

=

y

2

−

y

1

x

2

−

x

1

So

m

=

−

2

−

0

3

−

(

−

1

)

=

−

2

4

=

−

1

2

Step-by-step explanation:

Remember,

sin = op/hyp

cos = adj/hyp

tan = op/adj

For question 3 it would be B and C, because the adjacent side of angle x is 12, the hypotenuse is 37, and cos = adj/hyp.  Also, the opposite side of angle z is 12, and the hypotenuse is 37, and sin = op/hyp.  So both answers would be 12/37. You would do the same with question 4.

For 5, you would do the same thing.  It would be D because you can only take the sin of angle 24, and x is a side.  the opposite of 24 is x and the hypotenuse is 11, so sin 24 would be x/11. It is the same for problem 6.

Answer:

Step-by-step explanation:

3 1/4

Answer:

b=-12.5

Step-by-step explanation:

\( - 9 - b = 3.5 \\ - b = 3.5 + 9 \\ - b = 12.5 \\ b = - 12.5\)

Answer:

See below in bold.

Step-by-step explanation:

1.  21 + 2x + 29 = 180         (as supplementary angles sum to 180 degrees).

2x + 50 = 180

2x = 130

x = 65 degrees.

2. x - 36 + 73 = 180

x = 180 + 36 - 73

x = 143 degrees.

Answer:

x = 11.3125

Step-by-step explanation:

0.25 + 13 = 4(x - 8)

Distribute the 4 across the parentheses.

0.25 + 13 = 4x - 32

Combine the constants on the left side of the equal sign.

13.25 = 4x - 32

Combine all the constants by adding 32 to both sides.

45.25 = 4x

Divide by 4 to isolate the x.

45.25/4 = x

11.3125 = x

Check.

0.25 + 13 = 4(x - 8)

0.25 + 13 = 4(11.3125 - 8)

0.25 + 13 = 4(3.3125)

0.25 + 13 = 13.25

13.25 = 13.25

Let's take this problem step by step:

To find the ordered pair of the system:

⇒ must set both equations equal to each other

    ⇒ and solve for 'x'

Let's solve:

 \(x^2-2x+3=-2x+19\\x^2-2x+2x+3-19=0\\x^2-16=0\\(x+4)(x-4)=0\)

Let's find the x-values:

   \((x-4)=0\\x=4\\\\(x+4)=0\\x=-4\)

Let's find f(x)'s value for each 'x':

 \(x=4\\f(4)=-2(4)+19=-8+19=11\\\\x=-4\\f(-4)=-2(-4)+19=8+19=27\)

Answer: (4, 11), (-4,27)

Hope that helps!

#LearnwithBrainly

Answer:

a. yes the money is a function the function is x = days

2^(x-1)

b. no its not it will go up by more and more every day a linear equation would mean it goes up by the same amount each day which it does not

Hope This Helps!!!

Answer:

x = 16

Step-by-step explanation:

Problem: -3/8(x-24)+x=19

Distribution:

-3/8x + 9 + x = 19

5/8x = 19 - 9

5/8x = 10

x = 10 • 8/5

x = 16

Answer:

The cooler printer takes 0.4 minutes to print each page.

Step-by-step explanation:

6÷15

Answer:

3.6 meters

Step-by-step explanation:

18/10 x 2 = 3.6

so, 18 centimeters represents 3.6 meters

Grace can use the fraction 3 / 5 of the distance from point A and 2 / 5 of the distance from point B to determine the x coordinate of point C.

Herein we find the case of a point partitioning a line segment by observing a given ratio. The equation that observes this fraction is shown below:

AC / BC = 2 / 3

AC / AB = 2 / 5

Vectorially speaking, this is equivalent to the following equation:

C(x, y) - A(x, y) = (2 / 5) · [B(x, y) - A(x, y)]

C(x, y) = (3 / 5) · A(x, y) + (2 / 5) · B(x, y)

If we know that A(x, y) = (3, 2) and B(x, y) = (6, 11), then the coordinates of point C are, respectively:

C(x, y) = (3 / 5) · (3, 2) + (2 / 5) · (6, 11)

C(x, y) = (9 / 5, 6 / 5) + (12 / 5, 22 / 5)

C(x, y) = (21 / 5, 28 / 5)

To learn more on partition of line segments: https://brainly.com/question/3148758

#SPJ1

Answer:

I believe it is long term goals

Step-by-step explanation:

But I don’t really know if it is correct but it sounds like it would be long term goals

The investment of the money in a retirement fund is part of a plan for achieving Long term goals. Thus, option (B) is correct.

Investment refers to the money spend over something that will give profits and higher rates of return. The money can be spent over the business or in the future projects or in the mutual investments etc.

It is basically the asset that has been acquired or invested to earn the wealth. People do spent in various sectors such as gold, shares, bonds, real estate etc. in order to earn maximum profits out of it.

There are two types of investment that is long term investment and short term investment in which the person spending on the long term investment can spend money on the retirement fund.

Therefore, it can be concluded that option (B) is correct.

Learn more about investment here:

https://brainly.com/question/14682309

#SPJ2

The proportion of the area under the curve that lies to the right of t = 2.015 in a t-distribution with 5 degrees of freedom can be calculated using the t-distribution function in a statistical software package such as R.

The answer is approximately 0.9522. This means that 95.22% of the area under the curve lies to the right of t = 2.015. This indicates that the probability of observing a value of t greater than 2.015 is quite high.

This is because the t-distribution with 5 degrees of freedom has a larger spread than the normal distribution, which means that the probability of observing values further from the mean is greater.

know more about proportion here

https://brainly.com/question/2548537#

#SPJ11

Answer:

1022

Step-by-step explanation:

total of eggs

= 53 × 24

= 1272

the good eggs

= 1272 - 250

= 1022