If you invest $360.00 and your annual interest is $54, what is the interest rate

Answer:

the answer to needed is four

Answer:

False

Step-by-step explanation:

As an example

\(\frac{1}{2}\) × 6 = 3

Thus a fraction can be multiplied by a whole number/ integer

The exact P-value for t=2.78 with 12 degrees of freedom can be found by using software.

A one-sample t test has been conducted for testing

H0: μ = 40

Ha: μ ≠ 40

from a sample of n=13 observations has the value t=2.78.

The following are the degrees of freedom for t- 12 degrees of freedom are the degrees of freedom for t.

Locate the two critical values t* from Table D that bracket t.- The table of critical values of t-distribution is used to find the two critical values t* that brackets t. The 2.78 test statistic has 12 degrees of freedom. The critical values of t at a two-tailed test with a 0.05 level of significance with df=12 are -2.179 and 2.179.

This means that the 2.78 test statistic falls outside of the critical values of t at a two-tailed test with a 0.05 level of significance.

At the two-tailed test with a 0.05 level of significance and 12 degrees of freedom, the P-value of the test falls between 0.017 and 0.983.Is the value t=2.78 . At the 5% level of significance, the value of t=2.78 is statistically significant since the calculated t statistic is greater than the critical t-value.

At the 1% level of significance, the value of t=2.78 is also statistically significant because the calculated t statistic is greater than the critical t-value. If you have software available, find the exact P-value.- The exact P-value for t=2.78 with 12 degrees of freedom can be found by using software.

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By using the method of implicit differentiation, the value of dx/dt is 0 when xy = 5, dy/dt = 1, and x = 3.

Taking the derivative of both sides of the equation xy = 5 with respect to t, we get

d/dt(xy) = d/dt(5)

Using the product rule on the left-hand side, we have:

x(dy/dt) + y(dx/dt) = 0

Substituting the given value of dy/dt = 1 and the given value of xy = 5, we have

3(dx/dt) + y(dx/dt) = 0

Substituting y = 5/x, we get

3(dx/dt) + (5/x)(dx/dt) = 0

Factoring out dx/dt, we have

dx/dt(3 + 5/x) = 0

Solving for dx/dt, we get

dx/dt = 0 when x ≠ -5/3

Substituting the given value of x = 3, we have

dx/dt = 0 when x ≠ -5/3 = 0

Therefore, the value of dx/dt when x = 3 is 0.

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The function of the table will be y = 5x.

And, The graph of the function is shown in figure.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Jalyn made a table of how much money she will earn from babysitting as;

1, 5

2, 10

3, 15

4, 20

Now,

Find the function of the table as;

Take two points of the table are,

(x, y) = (1, 5), (2, 10)

We know that;

The equation of function is find as;

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (10 - 5) / (2 - 1)  (x - 1)

⇒ y - 5 = 5 (x - 1)

⇒ y - 5 = 5x - 5

⇒ y = 5x - 5 + 5

⇒ y = 5x

Thus, The function of the table will be y = 5x.

And, The graph of the function is shown in figure.

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The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

We have given that,

it is possible to form a triangle with the given side lengths.

We have to determine the side of the triangle

\(Area \ of \ the \ triangle=\frac{1}{2} \times height\times base\)

No, The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

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Answer:

CD= 15.03

Step-by-step explanation:

x1=7, x2= -8

y1=-4, y2=-5

distance CD= √(x2- x1) 2+ (y2-y1)2

= √( -8-7)2 + [-5-(-4)]2

= √(15)2+ (-5+4)2

= √225+ (1)2

= √225+1

= √226

= 15.03

Mr. Mensah's total earnings at the end of the fifteenth year of service is €1920.00 + €2520.00 = €4440.00.

To calculate Mr. Mensah's salary in the fifteenth year of service, we need to determine the pattern of salary increase over the years.

We know that Mr. Mensah's salary starts at €6400.00 and increases by €240.00 every year for the first eight years. After that, he is promoted to a new post with an annual salary of €9500.00, which increases by €360.00 every year.

Let's break it down:

For the first eight years, the salary increases by €240.00 per year:

After 1 year: €6400.00 + €240.00 = €6640.00

After 2 years: €6640.00 + €240.00 = €6880.00

...

After 8 years: €6400.00 + (8 * €240.00) = €6400.00 + €1920.00 = €8320.00

From the ninth year onwards, the salary increases by €360.00 per year:

After 9 years: €9500.00 + €360.00 = €9860.00

After 10 years: €9860.00 + €360.00 = €10220.00

...

After 15 years: €9500.00 + (7 * €360.00) = €9500.00 + €2520.00 = €12020.00

Therefore, Mr. Mensah's salary in the fifteenth year of service is €12,020.00.

To calculate Mr. Mensah's total earnings at the end of the fifteenth year of service, we need to sum up his salaries from year 1 to year 15.

For the first eight years, the total earnings can be calculated as follows:

Total earnings = (Salary in year 1 + Salary in year 2 + ... + Salary in year 8) = 8 * €240.00 = €1920.00

From the ninth year onwards, the total earnings can be calculated as follows:

Total earnings = (Salary in year 9 + Salary in year 10 + ... + Salary in year 15) = 7 * €360.00 = €2520.00

Therefore, Mr. Mensah's total earnings at the end of the fifteenth year of service is €1920.00 + €2520.00 = €4440.00.

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Answer: y= -5/2 x -3

The statement that non-normality of the residuals from a regression can best be detected by looking at the residual plots against the fitted y values is a false statement.

We have a statement and we need to find out if it is true. A negative residual indicates that the model did not fit. This means that the error produced by the model is not the same between variables and observations (that is error is not random). The content is not regular, that is, the content is distributed regularly and we can conclude that the linear model is the appropriate model. If the subject sees a curvilinear pattern such as a U-shaped pattern, we can conclude that a linear pattern is not suitable and a non-linear pattern would be better. These charts are useful for identifying inconsistencies, inconsistencies in error variance, and inconsistencies. Two well-known tests for normality of residues are the Kolmogorov Smirnov test and the Shapiro-Wilk test. So, residual plot can't be used to check the non-normality of the residuals from a regression. Therefore, it is false statement.

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Answer:

. The actual mass of the object was 9.98 X 10-3 g.

Step-by-step explanation:

yeah

Answer:

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

\(y - y_1 = m(x - x_1)\)

where

m is the slope

( x1 , y1) is the point

From the question the point is ( - 2 , -5) and slope 0 is

The equation of the line is

\(y + 5 = 0(x + 2) \\ \)

We have the final answer as

Hope this helps you

Answer:

x = −3.5

y = 11.5

Step-by-step explanation:

y = x + 15

y = −x + 8

[We know that y is 15 units more than x, and that −x is 8 units less than y. That can be combined into −x + 8 = x + 15 for the first variable (x), and for the second variable (y), y − 15 = −y + 8]

↓

In order to solve this, solve for the first variable in one of the equations, then substitute the result into the other equation.

↓

x = −\(\frac{7}{2}\) = −3.5

y = \(\frac{23}{2}\) = 11.5

The maximum electric field strength in the electromagnetic wave is found as 144 kV/m.

To determine the maximum electric field strength (in kV/m) of an electromagnetic wave, you can use the following relation between electric field strength (E) and magnetic field strength (B):

E = c * B

where E is the electric field strength, B is the magnetic field strength, and c is the speed of light in a vacuum, which is approximately 3.00 x 10^8 m/s.

Given a maximum magnetic field strength of 4.80 x 10^-4 T, you can find the maximum electric field strength by plugging in the values:

E = (3.00 x 10^8 m/s) * (4.80 x 10^-4 T)

E ≈ 1.44 x 10^5 V/m

To convert this value to kV/m, divide by 1000:

E ≈ 144 kV/m

So, the maximum electric field strength in the electromagnetic wave is approximately 144 kV/m.

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Answer:

A = 169π/4

Step-by-step explanation:

From these two given points we find the length of the diameter of this circle, using the Pythagorean Theorem:

d^2 = (8 - 3)^2 + (13 - 1)^2, or

d^2 = 25 + 144 = 169

Thus, the diameter, d, of this circle is √169, or 13.  

The radius is thus 13/2 units.

The area formula is A = πr^2.  Here the area is

A = π(169/4), or A = 169π/4

Answer:

8 millimeters

Step-by-step explanation:

Sense 24/3 is 8, then it is 8 millimeters. So, 300/3 is 100, that is why we use the number 3 to divide

Answer:

No

Step-by-step explanation:

If you try to multiply the 2:4 to change it to 5:6 , you can't because 5 is an odd number and 2 is and even

The number that must be placed in the circle to give the desired result as required are; 72.

As evident from the task content, the number which should be placed in the circle is to be determined.

On this note, since the given equation is;

Q - 3 × 6 = 54

Using the PEMDAS guidelines to solve for the variable Q; we have that

Q - 18 = 54

Q = 54 + 18

Q = 72.

Ultimately, the number which must be placed in the circle to give the result is; 72.

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Jack sells furniture for homes. Jacks is paid an 8.3% commission on all sales. Last month, Jack sold $42,513 worth of furniture. What was his commission?​

we know that

8.3%=8.3/100=0.083

so

Multiply $42,513 by 0.083 to obtain his commission

$42,513*(0.083)=$3,528,58

therefore

the answer is

Answer:

I don't have Idea

In general, the energy levels of a system increase as the system gets closer. This is because when objects get closer, the force between them increases, which increases the potential energy of the system.

The potential energy of a system is related to the energy levels of the system, so increasing the potential energy leads to higher energy levels.

To see this mathematically, let's consider a system of two particles with masses m1 and m2, separated by a distance r, and interacting via a potential energy function U(r). The total energy of the system, E, is given by:

E = 1/2 m1 v1^2 + 1/2 m2 v2^2 + U(r)

where v1 and v2 are the velocities of the particles. We can simplify this expression by using the reduced mass μ, defined as:

1/μ = 1/m1 + 1/m2

and the relative distance vector r = r2 - r1. Then, we have:

E = 1/2 μ v^2 + U(r)

where v is the relative velocity of the particles.

If we assume that the particles are moving in a circular orbit with radius r, we can use the centripetal force to relate v to r:

v^2 = F_c/m = U'(r)/μr

where F_c is the centripetal force and U'(r) is the derivative of U with respect to r. Substituting this into the expression for E, we get:

E = U'(r)/2μ + U(r)

The first term on the right-hand side represents the kinetic energy of the system, while the second term represents the potential energy. The total energy E is conserved, so it must be a constant.

Now, suppose we decrease the distance r between the particles. This means that U'(r) is negative (since the force is attractive), so the first term on the right-hand side decreases, while the second term increases. Thus, the total energy E must increase to stay constant.

Therefore, we can conclude that when objects get closer, their energy levels get higher.

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\(y = {x}^{3} + {x}^{2} + 1 \\ y = {x}^{5} + 1 \\ y - 1 = {x}^{5} \)

Mr. Gaygay received 8 P50-bills, 5 P100-bills, and 5 P20-bills.

let's calculate the amounts to be exchanged for each type of bill:

P50-bills: (2/5) * P1,000 = P400

P100-bills: (1/2) * P1,000 = P500

Since these two amounts account for P900, the remaining amount will be P1,000 - P900 = P100, which will be exchanged for P20-bills.

Next, we will find the number of each type of bill:

P50-bills: P400 / P50 = 8

P100-bills: P500 / P100 = 5

P20-bills: P100 / P20 = 5

So, Mr. Gaygay received 8 P50-bills, 5 P100-bills, and 5 P20-bills.

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The response y(t) graphically, we can first plot the individual functions h(t) and x(t) on a graph, and then determine their convolution to obtain y(t). Let's go step by step:

Plotting h(t):

The function h(t) is defined as h(t) = [u(t-1) - u(t-4)].

The unit step function u(t-a) is 0 for t < a and 1 for t ≥ a. Based on this, we can plot h(t) as follows:

For t < 1, h(t) = [0 - 0] = 0

For 1 ≤ t < 4, h(t) = [1 - 0] = 1

For t ≥ 4, h(t) = [1 - 1] = 0

So, h(t) is 0 for t < 1 and t ≥ 4, and it jumps up to 1 between t = 1 and t = 4. Plotting h(t) on a graph will show a step function with a jump from 0 to 1 at t = 1.

Plotting x(t):

The function x(t) is defined as x(t) = t[u(t) - u(t-2)].

For t < 0, both u(t) and u(t-2) are 0, so x(t) = t(0 - 0) = 0.

For 0 ≤ t < 2, u(t) = 1 and u(t-2) = 0, so x(t) = t(1 - 0) = t.

For t ≥ 2, both u(t) and u(t-2) are 1, so x(t) = t(1 - 1) = 0.

So, x(t) is 0 for t < 0 and t ≥ 2, and it increases linearly from 0 to t for 0 ≤ t < 2. Plotting x(t) on a graph will show a line segment starting from the origin and increasing linearly with a slope of 1 until t = 2, after which it remains at 0.

Obtaining y(t):

To obtain y(t), we need to convolve h(t) and x(t). Convolution is an operation that involves integrating the product of two functions over their overlapping ranges.

In this case, the convolution integral can be simplified because h(t) is only non-zero between t = 1 and t = 4, and x(t) is only non-zero between t = 0 and t = 2.

The convolution y(t) = h(t) * x(t) can be written as:

y(t) = ∫[1,4] h(τ) x(t - τ) dτ

For t < 1 or t > 4, y(t) will be 0 because there is no overlap between h(t) and x(t).

For 1 ≤ t < 2, the convolution integral simplifies to:

y(t) = ∫[1,t+1] 1(0) dτ = 0

For 2 ≤ t < 4, the convolution integral simplifies to:

y(t) = ∫[t-2,2] 1(t - τ) dτ = ∫[t-2,2] (t - τ) dτ

Evaluating this integral, we get:

\(y(t) = 2t - t^2 - (t - 2)^2 / 2,\) for 2 ≤ t < 4

For t ≥ 4, y(t) will be 0 again.

Maximum value of y(t):

To find the value of t at which y(t) reaches its maximum value, we need to examine the expression for y(t) within the valid range 2 ≤ t < 4. We can graphically determine the maximum by plotting y(t) within this range and identifying the peak.

Plotting y(t) within the range 2 ≤ t < 4 will give you a curve that reaches a maximum at a certain value of t. By visually inspecting the graph, you can determine the specific value of t at which y(t) reaches its maximum.

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Answer:

Step-by-step explanation:

the equation is in form y=mx+b

where m=4   is your slope   rise of 4 run 1

start at you y-intercept = b=  -2

see image for graph

Answer: (-1,-6); (0,-2)

I'm guessing you are looking for the graph and not certain points, so in that case it would be best to plug in random points. This is a hard graph as it has a sharp line with little solution, but luckily you only need two points to draw a line. ;)

(-1,-6)

y= 4x-2

-6=4(-1)-2 ✔

-2=4(0)-2 ✔

The number represented on number line by (A) -13   (B) 26   (C) 65

According to the number line given in part a

there are for parts in between 0 to 52

To find the numbers in one part = 52/4

                                                     = 13

Therefore,

For (A)

0 - 13 = -13

For (B)

0 + 2*13 = 26

For (C)

52 + 13 = 65

Hence, A is -13, B is 26 and C is 65.

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The value of tan 75 to the nearest hundredth is 3.73

The trigonometry identities are the sin, cos and tan. All other identities are derived from them.

According to the question, we are to find the value of tan75°

This can be expressed as:

tan75° = tan (60 + 15)

tan75° = tan60+tan15/1-tan60tan15

tan75° = 3.732

Hence the value of tan 75 to the nearest hundredth is 3.73

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IJKL is a rectangle, so opposite sides have the same length:

• IJ = KL   ⇒   6y - 6 = 2x + 20

• JK = IL   ⇒   3x + 21 = 6y

Substitute the second equation into the first and solve for x :

6y - 6 = 2x + 20

(3x + 21) - 6 = 2x + 20

3x + 15 = 2x + 20

x = 5

Solve for y :

3x + 21 = 6y

15 + 21 = 6y

36 = 6y

y = 6

Chaneece did not find the correct solution

From the question, we have the following parameters that can be used in our computation:

x and y are the integers

So, we have

x + y ≤ 40

x - y ≥ 20

Add the equations

So, we have

2x = 60

Divide

x = 30

Next, we have

30 + y ≤ 40

So, we have

y ≤ 10

This means that

x = 30 or between 20 and 30

y = 10 or between 0 and 10

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Answer:

-1/4

Explanation:

To write the decimal -0.25 as a fraction we need to multiply and divide by 100 as follows:

We multiply by 100 because there are 2 digits after the decimal point.

Then, we need to simplify the fraction, so we can divide the numerator and the denominator by 25 as:

So, the fraction in its simplest form is -1/4