harry purchased a 600$ savings bond if he has 1200 in total in the bank at the end of 10 years what was the simple interest rate

Answer:

200 gallongs

Step-by-step explanation:

Answer:

63 ride the bus

Step-by-step explanation:

of means multiply

25% * 252

Change to decimal form

.25* 252

63

Answer:

D. 11.8 cm

Step-by-step explanation:

This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5

The other shortcut is that the longer leg is the

short leg×sqroot3

Here, the short leg is 2.5, so the long leg is 2.5×sqroot3

Perimeter is all the sides added together.

5 + 2.5+ 2.5×sqrt3

Do the times first.

5 + 2.5 + 4.3

= 11.8

Answer:

2 minutes per lap

Step-by-step explanation:

Because 4 Minutes divided by 2 Laps = 2 Minutes per lap

Answer:

12 km/minute

Step-by-step explanation:

In order to convert to kilometers per minute, we are given 1/2 of a kilometer per 1/24 of a minute. First, we must convert to 1 minute. We can multiply both sides by 24 to get 24/2 = 12 kilometers per minute. Since we now have it in kilometers per minute, we have the answer.

Answer:

12 km per min

Step-by-step explanation:

Answer:

7.85

Step-by-step explanation:

Using the formulas

C=2πrd=2r

Solving forC

C=πd=π·2.5

Answer:

\(2.5\pi\)

Step-by-step explanation:

Since we know the diameter (d), we can find the radius (r):

\(r = \frac{1}{2} \times d = \frac{1}{2} \times 2.5 = 1.25\)

And not we can find the circumference:

C=\(2\pi \times r = 2 \times \pi \times 1.25 = 2.5\pi\)

Answer:

B.   2n + 14 ≥ -10

Step-by-step explanation:

twice a number: 2n

... increased by 14: 2n + 14

is at least: 2n + 14 ≥

the opposite of 10: 2n + 14 ≥ -10

Answer:

Your answer is B, 2n + 14 \(\geq\) -10

Hope this helps!

Step-by-step explanation:

* Twice a number *

2 * n

* Increased by 14 *

+ 14

* Is at least *

\(\geq\)

* The opposite of 10 *

-10

the answer is 524.47500

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The quotients in this problem are given as follows:

The order of these quotients, from least to greatest, is given as follows:

-30/6, 21/(-7), -(-3/-2), 0/(-20), -44/-4.

The quotients are obtained with the division of two values, however, signal rules also have to be considered.

The quotients in this problem are given as follows:

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The probability of heads is 3/4, and the probability of tails is 1/4. Let í be the number of dollars that you receive, which is a random variable. If it comes up heads, you will receive $1, and if it comes up tails, you will receive $2.

Thus, the possible values of í are 1 and 2.The expected value of í is given by the formula below:

\(E(i) = \sum_{i=1}^n x_i P_i\)

Where xi is the ith possible value of í, and Pi is the probability of xi. The expected value of í is given by the formula below:

\(E(i) = \sum_{i=1}^n x_i P_i\)

For this example, the possible values of í are 1 and 2. The probability of heads is 3/4, and the probability of tails is 1/4. Therefore, we can calculate the expected value of í as follows:

\(E(i) = (1) \cdot \frac{3}{4} + (2) \cdot \frac{1}{4}\)

\(= \frac{3}{4} + \frac{2}{4}\)

\(= \frac{5}{4}\)

Thus, the expected value of í when the biased coin is flipped once is $1.25.

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The equality given as x² = -x  is true when x = 0 and x = -1

From the question, the equation is given as

x^2=-x

Rewrite the equation properly as follows

So, we have

x² = -x

Add x to both sides of the equation

So, we have the following equation

x² + x = 0

Factor out x from the equation

This gives

x(x + 1) = 0

So, we have

x = 0 and x + 1 = 0

Solve for x

x = 0 and x = -1

Hence, the equality is true when x = 0 and x = -1

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The value of G, correct to three significant figures and in standard form, is\(4.59 \times 10^-^1\).

To work out the value of G using the given formula G = √(m/t^2), we need to substitute the given values for m and t.

Given:

m = 5.4 x 10^-5

t = 1.6 x 10^-2

Substituting the values into the formula:

\(G = \sqrt(5.4 \times10^-^5 / (1.6 \times10^-^2)^2)\)

First, we need to square the value of t:

\(t^2 = (1.6 \times10^-2)^2 = 2.56 \times 10^-^4\)

Next, we divide m by t^2:

m / t^2 = 5.4 x 10^-5 / 2.56 x 10^-4 = 0.2109375

Finally, we take the square root to find G:

G = √0.2109375 = 0.459

Rounding the answer to three significant figures, the value of G is approximately 0.459.

In standard form, this is 4.59 x 10^-1.

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The assertion that four-year public college tuition and fees exceed $5700 is sufficiently supported by the available data.

Step 1: Specify the claims and hypotheses.

H0: μ = $5700 and H1: μ > $5700 (claim)

Step 2: Calculate the test value.

z = (x - μ)/ (σ/√n)  

z = (5950 - 5700)/ (659/√36)

z = 2.28

Step3. Determine the P-value.

Determine the area for z = 2.28 using Table E.

Area equals 0.9887.

To determine the tail's area, deduct from 1.0000.

Therefore, 1.0000 - 0.9887 = 0.0113 is the P-value.

Step 4: Decide what to do.

The P-value is much less than 0.05, hence the null hypothesis is to be rejected.

Step 5: Condense the findings.

The assertion that four-year public college tuition and fees exceed $5700 is sufficiently supported by the available data.

Thus, this null hypothesis will not be disproved if = 0.01.

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One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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The mathematical average of the number of feet in a yard, seconds in a minutes and months in a year is 25.

In Mathematics and Geometry, the arithmetic average for any data set can be calculated by using the following formula:

Arithmetic average = [∑(x)]/n

Generally speaking, we have the following standard parameters;

∑(x) = 3 + 60 + 12

∑(x) = 75

Now, we can determine the arithmetic average as follows;

Arithmetic average = 75/3

Arithmetic average = 25.

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Answer:

6 x 8

48 x 1

24 x 2

12 x 4

16 x 3

Are the 5 expressions equivalent to 12 x 4

Answer:

16 x¹⁰ + 88 x⁵ + 121

step-by-step explanation:-

( 4 x⁵ + 11)²

( 4x ⁵)² +2 ( 4x⁵) ( 11 ) + ( 11 )²

calculate we get

16 x¹⁰ + 88 x⁵ + 121

Answer:

Step-by-step explanation:

oh yea  he misplaced the 8

Therefore , the solution of the given problem of mean comes out to be value of the mean is 600.

A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the dataset's total number of values by the sum of all of those values yields this result. Both raw data and data that have been combined into frequency tables can be used for calculations. Average refers to a number's average. It is straightforward to calculate: Divide by how many digits there are after adding up all the digits. the total divided by the count.

Here,

Given :The sum is 600.

The average arithmetic mean of x, y and z is 50.

=>(x + y + z)/350, sox + y + z = 150

=>4x + y + 3y+z+32

=>4x+4y+4z 4x+4y+4z4(x+y+ z) 4(x+y+2)

=> 4*150 = 600

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The slope of the line of the graph is given by the ratio of the change in y-

coordinates to the change in the x-coordinates of the line.

The statement that is true about the slope of the line is; it is  \(\dfrac{1}{2}\) throughout

the line.

Reasons:

The given parameter are;

The ordered pair through which the line passes = (-6, -3), and (0, 0) and (6, 3)

Points on the hypotenuse of the shaded right triangle = O(0, 0), and A(4, 2)

Points on the leg of the right triangle = (0, 0) to (4, 0)

Points on the second leg of the right triangle = (4, 0) to (4, 2)

Second right triangle;

Points on the hypotenuse = A(4, 2) to B(6, 3)

One leg of the right triangle extends from (4, 2) to (6, 2)

Second leg extends from  (6, 2) to (6, 3)

\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

\(\mathrm{Slope, \, of \ first \ triangle, \, m} =\dfrac{2-0}{4-0} = \dfrac{1}{2}\)

\(x^{2} \mathrm{Slope, \, of \ second \ triangle, \, m} =\dfrac{3-2}{6-4} = \mathbf{\dfrac{1}{2}}\)

Therefore;

The slope is \(\dfrac{1}{2}\) throughout the line

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Answer:

3. 102

4. c

Step-by-step explanation:

For number 3:

(c^2 - a) + b becomes (10^2 - 3) + 5

10^2 = 100

100 - 3 + 5 = 102

For number 4:

Usually when you see distributive property, you're multiplying into parentheses. This time you're factoring out.

20c - 8d

It's not a, because that would be 20c + 8d

It's not b, because that would be 20c -32d

It is c, because 4 x 5c = 20 c and 4 x -2d = -8d

It's not d, because that would be 20c- 8cd

a. The parameter values that describe the distribution of the length of the cylinders are a mean (μ) of 3.25 inches and a standard deviation (σ) of 0.003 inches.

b. The probability density function (PDF) for the length of the cylinders is given by f(x) = (1 / (0.003 * √(2π))) * exp(-(x - 3.25)^2 / (2 * 0.003^2)). This formula represents the likelihood of observing a specific length (x) of the cylinders, assuming a symmetrical, Normally distributed data with a mean of 3.25 inches and a standard deviation of 0.003 inches.

a. The parameter values that describe the distribution of the length of the cylinders are:

Mean (μ): 3.25 inches

Standard deviation (σ): 0.003 inches

b. The probability density function (PDF) of a Normally distributed random variable with a mean of μ and a standard deviation of σ is given by:

f(x) = (1 / (σ * √(2π))) * exp(-(x - μ)^2 / (2σ^2))

In this case, for the length of the cylinders, the PDF would be:

f(x) = (1 / (0.003 * √(2π))) * exp(-(x - 3.25)^2 / (2 * 0.003^2))

This formula represents the probability density function that describes the likelihood of observing a specific length (x) of the cylinders, given the mean and standard deviation of the distribution.

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The values of x in the triangles are x = 17 and x = 52

Triangle 1

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

The triangle

Using the law of cosines to solve for x, we have

x^2 = 7^2 + (8√2)^2 - 2 * 7 * (8√2) * cos(135 degrees)

Evaluate the like terms and multiply

x^2 = 289

Take the square roots

x = 17

Triangle 2

Here, we have"

Using the law of cosines to solve for x, we have

x^2 = 28^2 + 32^2 - 2 * 28 * 32 * cos(120 degrees)

Evaluate the like terms and multiply

x^2 = 2704

Take the square roots

x = 52

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Answer: In mathematics, prime and composite numbers are distinguished by the number of factors they contain. A prime number is one that has only two factors and a composite number has more than two factors. Factors are values that divide a number or expression evenly.

Answer:

The height of the tree is approximately 71.5 feet

Step-by-step explanation:

The given parameters are;

The angle of elevation to see the top pf the tree = 50°

The distance Peggy is laying from the base of the tree = 50 ft.

In order to answer the question using trigonometric ratio, we assume that the angle the tree makes with the ground is 90° that is the tree is perpendicular to the ground

Therefore, the line of sight to the top of the tree,  the height of the tree, and the distance from the base of the tree where Peggy is laying, forms a right triangle

Let, 's', represent the line of sight to the top of the tree, let 'h', represent the height of the tree, and let, 'd', represent the distance from the base of the tree where Peggy is laying

The third angle, θ, of the right triangle opposite 'd' is given by angle sum theorem of a triangle as follows;

θ = 180° - 90° - 50° = 40°

θ = 40°

By sine rule we have;

h/sin(50°) = d/(sin θ)

∴ h/sin(50°) = 60 ft./(sin 40°)

h = sin(50°) × 60 ft./(sin 40°) = 71.5052156 ft.

∴ The height of the tree, h ≈ 71.5 ft. by rounding to the nearest tenth

Triangle STV is congruent to triangle UTW by SSS congruence postulate

SSS congruence postulate is a statement in geometry that says if three sides of one triangle are equal in length to the corresponding three sides of another triangle, then the two triangles are congruent.

In other words, if the lengths of the sides of two triangles are the same, then the triangles are the same shape and size. The acronym SSS stands for "side-side-side."

Corresponding Parts of Congruent Triangles are Congruent is abbreviated as CPCTC.

According to the CPCTC theorem, every corresponding component of one triangle is congruent to the other when two triangles are congruent.

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The equations of the lines that pass through the point (4, -3) and have the given slopes are:

y = -x + 1

y = x - 7

y = -x + 1

y = -x + 1

To find the equation of a line, we need the slope and a point on the line.

The given point is (4, -3), and we have four options for the slope: -1, 1, -1, and -1.

Let's go through each option and determine the equation of the line for each case:

Slope = -1 (from Oy = -x - 2):

Using the point-slope form of a line, we have:

y - y1 = m(x - x1)

y - (-3) = -1(x - 4)

y + 3 = -x + 4

y = -x + 4 - 3

y = -x + 1

Slope = 1 (from Oy = x + 2):

Using the point-slope form:

y - y1 = m(x - x1)

y - (-3) = 1(x - 4)

y + 3 = x - 4

y = x - 4 - 3

y = x - 7

Slope = -1 (from Oy = -x - 3):

Using the point-slope form:

y - y1 = m(x - x1)

y - (-3) = -1(x - 4)

y + 3 = -x + 4

y = -x + 4 - 3

y = -x + 1

Slope = -1 (from Oy = -x + 3):

Using the point-slope form:

y - y1 = m(x - x1)

y - (-3) = -1(x - 4)

y + 3 = -x + 4

y = -x + 4 - 3

y = -x + 1

So, the equations of the lines that pass through the point (4, -3) and have the given slopes are:

y = -x + 1

y = x - 7

y = -x + 1

y = -x + 1

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Answer:

5t + 2

Step-by-step explanation:

Given that :

Total cost of ticket = t + 2

t = price of one ticket ; the constant digit, '2' is the service fee.

The service fee being a constant amount during the purchase of concert ticket will be paid per service transaction done.

To purchase 5 concert ticket, total cost will be :

Ticket price for 5 tickets plus a service fee

5 * ticket price plus a constant service fee

5 * t + 2

5t + 2

33

Let the present age of father is x years and son is y years

Then according to the question

x−3y=3.............(i)

After 3 years

(x+3)−2(y+3)=10

x+3−2y−6=10

x−2y=13...........(ii)

Subtracting eq(i)and eq(ii)

y=10

Putting y=10 in eq(i)

x−3×10=3

x=33

Hence Father present age is 33 years.