Please help getting brainiest. ( I don’t know what it’s called)

The amount that Mr. and Mrs. Howard should invest to be able to send their son to college in 13 years is $ 2, 650. 93 .

A simple way to find the amount that Mr. and Mrs. Howard need to invest when using continuous compounding is :

Amount needed in future = Amount needed to be invested x Continuously compounded factor, 13 years, 8 %

Amount needed in future = $ 7, 500

Continuously compounded factor, 13 years, 8 % = 2. 8292

The amount to be invested is :

Amount needed in future = Amount needed to be invested x Continuously compounded factor, 13 years, 8 %

7, 500 = Amount x 2. 8292

Amount = 7, 500 / 2. 8292

Amount = $ 2, 650. 93

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Answer:

Step-by-step explanation:

Since the length, i, of the rectangle is greater than its width, we can write:

i > w

The formula for the perimeter of a rectangle is:

P = 2(i + w)

We know the perimeter is at least 30 inches, so we can write:

2(i + w) ≥ 30

Simplifying the inequality, we get:

i + w ≥ 15

Now we can substitute i > w into the inequality:

w + w ≥ 15

2w ≥ 15

w ≥ 7.5

Therefore, the range of possible widths for the rectangle is:

w ≥ 7.5

Answer:

For number one it would be a closed circle poiting to the left because it is a negative number and it is not equal to or less than anything.

For number 2 a possible solution will be 2^2-2 which would equal 2 because 2^2=4 then 4-2=2

I hope this helps you!!

c) It would be larger, because higher confidence requires a larger margin of error.

When increasing the confidence level from 95% to 99%, the margin of error of the confidence interval tends to increase. This is because a higher confidence level means we want to be more certain or have a higher level of confidence in capturing the true population parameter.

To achieve a higher confidence level, we need to widen the interval to account for more potential variability in the population. As a result, the margin of error increases, reflecting the increased uncertainty and the need for a larger range of values to capture the true population parameter with higher confidence.

Therefore, the margin of error of a 99% confidence interval, based on the same sample, would be larger compared to the 95% interval.

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All the zeros of f(x) are 3, 1, -8.

Factorizing f(x) using Synthetic Division, we get:

f(x) = (x - 3)(x² + 7x - 8) = 0

Using zero product property, we have

(x - 3) = 0 or (x² + 7x - 8) = 0

Solving for x in (x - 3) = 0, we get

x - 3 = 0

x = 3

Solving for x in (x² + 7x - 8) = 0, we get

x² + 7x - 8 = 0x² + 8x - x - 8 = 0

x(x + 8) - 1(x + 8) = 0

(x + 8)(x - 1) = 0

Using zero product property, we get

(x + 8) = 0 or (x - 1) = 0

Solving for x in (x + 8) = 0, we get

x + 8 = 0x = -8

Solving for x in (x - 1) = 0, we get

x - 1 = 0

x = 1

Therefore, all the zeros of f(x) are 3, 1, -8.

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Answer:

1 1/2 cups

Step-by-step explanation:

original amount = 2 1/4 cups = (2 × 4 + 1)/4 cups = 9/4 cups

2/3 of original amount = 2/3 × 9/4 cups = 18/12 cups = 3/2 cups = 1 1/2 cups

The average value of a particular sample is known as sample mean

Sample mean is calculated by adding up all the values in the samples and after that dividing by the total no of observations in the sample

Options and definitions given in the question are not accurate

Because rather than sample means, we call it average of sample means

Sample means provides an estimate of the central tendency of the sample and it's basically a descriptive statistic

Suppose we have samples of five scores: 5, 6, 2, 8, 1

Then the sample mean would be :

\(\frac{(5 + 6 + 2 + 8 + 1}{5}\) = \(\frac{22}{5}\) = 4.4

Sample mean would be 4.4

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Answer:

The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 is 5/7

Step-by-step explanation:

The given numbers are;

0, 1/3, 1/2, 3/5, and 2/3

The number sequence is formed adding \(\dfrac{1}{\left (\dfrac{n^2 + n}{2} \right ) }\) to each (n - 1)th term to get the nth term number in the sequence, with the first term equal to 0, as follows;

For the 2nd term, the (n - 1)th term is 0, and n = 2, gives;

The

\(0 +\dfrac{1}{\left (\dfrac{2^2 + 2}{2} \right ) } = 0 + \dfrac{1}{3} = \dfrac{1}{3}\)

For the 3rd term, the (n - 1)th term is 1/3, and n = 3, gives;

\(\dfrac{1}{3} +\dfrac{1}{\left (\dfrac{3^2 + 3}{2} \right ) } = \dfrac{1}{3} + \dfrac{1}{6} = \dfrac{1}{2}\)

For the 4th term, the (n - 1)th term is 1/2, and n = 4, gives;

\(\dfrac{1}{2} +\dfrac{1}{\left (\dfrac{4^2 + 4}{2} \right ) } = \dfrac{1}{2} + \dfrac{1}{10} = \dfrac{3}{5}\)

For the 5th term, the (n - 1)th term is 3/5, and n = 5, gives;

\(\dfrac{3}{5} +\dfrac{1}{\left (\dfrac{5^2 + 5}{2} \right ) } = \dfrac{3}{5} + \dfrac{1}{15} = \dfrac{2}{3}\)

For the next or 6th term, the (n - 1)th term is 2/3, and n = 6, gives;

\(\dfrac{2}{3} +\dfrac{1}{\left (\dfrac{6^2 + 6}{2} \right ) } = \dfrac{2}{3} + \dfrac{1}{21} = \dfrac{15}{21} = \dfrac{5}{7}\)

The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 = 5/7.

Answer:

i) The angular difference in their longitude is approximately 50.65°

ii) The line of longitude where B is located is approximately 30.65°E

Step-by-step explanation:

The given parameters are;

The angle of latitude where the points A and B are located = 60°S

The distance between points A and B = 2,816 km

(i) The angular difference in their longitude, θ, is given as follows;

θ = 2,816/(2 × π × 6,371 × cos(60°)) × 360 ≈ 50.65°

The angular difference in their longitude, θ ≈ 50.65°

(ii) The location of the point A relative to B = Due west

The line of longitude on which A is located = 20°W

∴ The line of longitude where B is located, P = θ - 20°

∴ P = 50.65° - 20°W = 30.65°E

The line of longitude where B is located ≈ 30.65°E.

This example is an part of systematic sampling.

Disadvantage

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To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:

ΔL = I * Δω

where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.

To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:

Δω = ωt0 - ω0

Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.

The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:

I = (1/2) * m * r^2

where m is the mass of the cylinder and r is the radius of the cylinder.

By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.

It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.

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x = 6

Step 1: Simplify both sides of the equation.

5045x + 3000 = 5545x

Step 2: Subtract 5545x from both sides.

5045x + 3000 − 5545x = 5545x − 5545x

−500x + 3000 = 0

Step 3: Subtract 3000 from both sides.

−500x + 3000 − 3000 = 0 − 3000

−500x=−3000

Step 4: Divide both sides by -500.

−500x/−500 = −3000/−500

Answer: x=6

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the couculator then find your sum

The given equation written in standard form is 8x - 14y = 26

From the question, we are to write the given linear equation is standard form.

From the given information, the given linear equation is

8x = 26 + 14y

The standard form of linear equation is given as

Ax + By = C

Where x and y are the variables

A, B, and C are the constants

Now, we will write the given equation in standard form

8x = 26 + 14y

Subtract 14y from both sides of the equation

8x - 14y = 26 + 14y - 14y

8x - 14y = 26

Hence, the equation is 8x - 14y = 26

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Answer:

Step-by-step explanation:

Here is how you are supposed to plot the number line

Answer

QR=22.22%

PQ=44.44%

RS=33.33%

Not RS= 77.78%

Explanation

Probability is about determining how much of a part takes up the whole. In this case, the whole is 18, because this is the total length.

For QR, the length of the segment is 4, so we can say 4/18 because the segment is 4 parts of the 18 total length.

To determine percent, we divide and multiply by 100%

4/18=0.2222*100%=22.22%

Similarly, PQ is 8 parts of the whole 18, so

8/18=0.4444*100%=44.44%

And RS is:

6/18=0.3333*100%= 33.33%

We can verify that we are correct by adding all these percentages together, knowing that they should equal 100%. Here, we add them and get 99.99%, which verifies we are correct. There is an error of .01% because we have been rounding.

Finally, the parts that are not RS are QR and PQ, so we must add QR and PQ to determine how many parts they are of the 18 whole.

QR+PQ= 14/18=0.7778*100%= 77.78%

Answer:

266.666667

Step-by-step explanation:

Answer:

4 sigfig is 164.4

3 sigfig is 164.

1 sigfig is 200

hope that answers your question

comment for more explanation

The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60

To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:

N(t) = N₀ * (1/2)^(t/h)

Where:

N(t) is the remaining mass of the substance at time t

N₀ is the initial mass of the substance

t is the time elapsed

h is the half-life of the substance

In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:

63 = 475 * (1/2)^(x/20)

To solve for x, we can isolate the exponential term on one side of the equation:

(1/2)^(x/20) = 63/475

Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:

log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)

By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:

x/20 = log(base 1/2) (63/475)

Finally, we can solve for x by multiplying both sides of the equation by 20:

x = 20 * log(base 1/2) (63/475)

Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:

x ≈ 20 * 4.1802

x ≈ 83.60

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The calculated probabilities are

Probability = 60/110

= 0.5455

probability = 65/110

= 0.5909

Probability = 30/65

= 0.4615

25/45

= 0.5556

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The correct option is A, equilibrium price increases from $6 to $8.

In economics, equilibrium is a state in which the supply and demand for a product or service are balanced, resulting in a stable price. This can occur in a free market, where the price of a good or service is determined by the interaction of buyers and sellers.

Overall, equilibrium is a fundamental concept in many different fields, representing a state of balance or stability in a system or situation.

If the demand schedule changes from D2 to D1, then the demand curve shifts to the left. As a result, the new equilibrium point will be where the new demand curve (D1) intersects with the supply curve (S1).

From the table, we can see that the new equilibrium point is at a price of $8 and a quantity of 15. Therefore, the equilibrium price increases from $6 to $8, but the equilibrium quantity decreases from 15 to 13.

So the correct answer is: equilibrium price increases from $6 to $8.

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The order in which the matrices should be arranged is: I, IV, III, II.

To solve the system of equations, Tia used row operations to transform the augmented matrix, which consists of the coefficients of the variables and the constants, into an equivalent matrix in row echelon form. The matrices she noted correspond to the augmented matrix at different steps during the row operations.

To determine the order in which the matrices should be arranged when solving the system from start to finish, we need to follow the sequence of row operations performed by Tia. We can determine this sequence by examining the changes in the matrices.

Starting matrix:

-1 -1 2 -7

2 1 1 2

-3 2 3 -7

I: Add Row 1 to Row 2:

1 0 2 -5

2 1 1 2

-3 2 3 -7

II: Add -2 times Row 1 to Row 3:

1 0 2 -5

2 1 1 2

0 2 -1 3

III: Add -2 times Row 2 to Row 3:

1 0 2 -5

2 1 1 2

0 0 -3 -4

IV: Multiply Row 3 by -1/3:

1 0 2 -5

2 1 1 2

0 0 1 4/3

V: Add -2 times Row 3 to Row 2:

1 0 2 -5

2 1 0 -2/3

0 0 1 4/3

VI: Add -2 times Row 2 to Row 1:

1 0 0 -1/3

0 1 0 -2/3

0 0 1 4/3

The final matrix corresponds to the row echelon form of the augmented matrix. The solution of the system can be obtained by back-substitution, starting from the last equation and working upwards.

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Answer:

The radius is 9.28 inches.

Step-by-step explanation:

Since there are 7 Move Ahead zones, and 3 Go Backwards zones on the spinner, there must be 2 other zones (the Freeze! +Bonus pts)

2 out of 12 zones are Freeze! +Bonus pts. That is 1/6 of the spinner. They said the area of the the Freeze!+Bonus pts is 45.1 inches squared.

45.1 × 6

= 270.6

The entire spinner has the area 270.6

The area of a circle is:

A = pi•r^2

We are looking for r. Thats the radius they asked for in the question.

270.6 = pi•r^2

pi is a number, I'm using the pi button on the calculator bc it is most exact.

270.6 = pi•r^2

Divide both sides by pi.

86.134655 = r^2

square root both sides.

9.28 = r

The radius is 9.28 inches.

Answer:

17/24

Step-by-step explanation:

lcm is 24

7/8=21/24

1/6=4/24

21/24-4/24=17/24

Answer:

17/24 or 0.708

Step-by-step explanation:

1 8 16 24 32 40 48

1 6 12 18 24 30 36 42 48

24 is LCM

The Expression which is Equivalent to  \(5^{36}/5^4\) is \(5^{32\).

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as \(3^4\), where 4 is the exponent and 3 is the base. The whole expression 34 is said to be power.

We have \(5^{36}/5^4\).

Using the Property of Exponents

\(a^m/ a^n = a^ {m-n\)

Here a= 5

m = 36

and, n= 4

So, substituting the values in Property we have

\(5^{36}/5^4\)

= \(5^{36-4\)

= \(5^{32\)

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Answer:

15

Step-by-step explanation:

3 times 5 is 15