You decide to invest in government bonds to save money for your eventual wedding. You have an
initial investment of $7,000 and when you choose to invest for 14 years you get a 10% rate
of return. What will be the value of your investment at maturity?

y = a (1 + r)t

Round off to the nearest whole number
(don't forget to change your rate to a decimal percentage)

If the dot indicates the center of the circle, the equation that must be true is (c) A + B = 180

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

The circle

The angle in a semi-circle is 90 degrees

This means that

A = 90 and B = 90

When these angles are added, we have

A + B = 90 + 90

Evaluate

A + B = 180

Hence, the equation is (c) A + B = 180

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The deadweight loss caused by a subsidy is the amount of economic welfare that is lost because of the subsidy. In this example, the deadweight loss caused by the subsidy is $800. Therefore, correct option will be D.$800.

This occurs because the subsidy distorts the market by creating a price below the market equilibrium. This results in an inefficient distribution of resources as some consumers are willing to pay a higher price than the subsidized price.

Additionally, it creates an excess demand for the good, resulting in an over-allocation of resources. In this case, the deadweight loss is the difference between the market price and the subsidized price, which is $800. The deadweight loss is a negative externality of subsidies, as it reduces the overall efficiency of the market.

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If angle A and angle B have the same measurement then m∠A = m∠B and ∠A ≅ ∠B. So, the correct option is B: II and IV only.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

It is given that ∠A and ∠B have the same measurement.

This represents that ∠A and ∠B must be equal and congruent also.

This can be written in expression form as -

∠A ≅ ∠B

For example if ∠A = 90° then ∠B = 90°.

This can be written in expression form as -

m∠A = m∠B

The measure of angle A is equal to measure of angle B.

Therefore, option II and option IV are correct.

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The probability of the second event is close to 1.

We can use the Central Limit Theorem to calculate the probability. According to the Central Limit Theorem, the distribution of the mean of a large number of independent random variables will be approximately normal, with mean equal to the mean of the individual variables and standard deviation equal to the standard deviation of the individual variables divided by the square root of the sample size.

In this case, the mean of 50 square yards is 50 * 1.6 = 80 flaws. The standard deviation of the mean is 1.2/sqrt(50) = 0.24.

So, we want to find the probability that the mean of 50 square yards is 2 or more, which is equivalent to finding the probability that a standard normal random variable is greater than or equal to (2 - 80)/0.24 = -333.33.

We can use a standard normal table to find this probability. The probability of a standard normal random variable being less than or equal to -333.33 is close to 0, so the probability of being greater than or equal to -333.33 is close to 1.

Therefore, the probability of the second event is close to 1.

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The probability of the second event is close to 1.

We can use the Central Limit Theorem to calculate the probability. According to the Central Limit Theorem, the distribution of the mean of a large number of independent random variables will be approximately normal, with mean equal to the mean of the individual variables and standard deviation equal to the standard deviation of the individual variables divided by the square root of the sample size.

In this case, the mean of 50 square yards is 50 * 1.6 = 80 flaws. The standard deviation of the mean is 1.2/sqrt(50) = 0.24.

So, we want to find the probability that the mean of 50 square yards is 2 or more, which is equivalent to finding the probability that a standard normal random variable is greater than or equal to (2 - 80)/0.24 = -333.33.

We can use a standard normal table to find this probability. The probability of a standard normal random variable being less than or equal to -333.33 is close to 0, so the probability of being greater than or equal to -333.33 is close to 1.

Therefore, the probability of the second event is close to 1.

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Matrix for reflection in line y=-x is [0 -1; -1 0].

What is matrix ?

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

A reflection in the line y = -x can be represented as a linear transformation in 2D space. A linear transformation can be represented using a 2x2 matrix.

The matrix for the reflection in the line y = -x is given by:

a = [0 -1; -1 0]

This matrix represents a reflection about the line y = -x in the 2D plane. The first column of the matrix represents the image of the unit vector (1, 0) and the second column represents the image of the unit vector (0, 1).

The reflection is performed by multiplying the matrix a with the vector (x, y) representing the point in the 2D plane. The result is the reflection of the point across the line y = -x.

Matrix for reflection in line y=-x is [0 -1; -1 0].

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Answer:

Specify

Step-by-step explanation:

How many people are in Joe's class. Since it's half, you divide the answer by two.

EX:

If there is 10 people in the class:

10/2 = 5

Which means there are 5 people in the class who brought gifts.

How about another one:

If there are 271 people in the class

272/2 = 136

Which means 136 people in the class brought gifts and there might be a potential landslide of items in Joe's home.

Value of x is 7 and value of y is 37 for the equations y=4x+9

y=x+30

Two or more expressions with an Equal sign is called as Equation.

The given equations are y=4x+9 and y=x+30

Let us subtract both the equations

y-y=4x+9-x-30

0=3x-21

Add 21 on both sides

21=3x

Divide both sides by 3

x=7

Now let us plug in value of x in any of the equation to get y.

y=4(7)+9

=28+9

y=37

Hence, value of x is 7 and value of y is 37 for the equations y=4x+9

y=x+30

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Although certain functions have discontinuities, it is feasible to redefine the function so that it becomes continuous at that point.

A continuous function in mathematics is a function without discontinuities, or any sudden changes in value. If we can guarantee arbitrarily small changes in the input of a function by limiting small enough changes, then the function is continuous.

We only need to change the function's value at this point to make f(x) continuous at x=0. To satisfy the concept of continuous functions and resolve the example issue, make the necessary adjustment to make the one-sided limits equal. We therefore set f(0)=4 f(0) = 4

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IfIf this truss bridge shows two triangles ABC and DEF with ABC=DEF if mB=60 degrees, mE is 60 °.

ΔABC = ΔDEF

M∠E = M∠B

M∠B =60°

By equation 1 and 2

M∠B =60°

Since triangle ABC is congruent to triangle DEF, the corresponding angles are equal

so,

mB = mE

Hence, mE = 60 degrees

Therefore mE is 60 degree.

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Answer:

-16, -13, -12, -9, 10, 20

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

-16, -13, -12, -9, 10, 20

Step-by-step explanation:

Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.

The concept used in this statement is quantifiable data, specifically the measurement of time spent talking. This information can be quantified and recorded in a numerical format, allowing for easy comparison and analysis.

The statement "For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes." is appropriate for the method section of a research report because it describes a specific result of the experiment being conducted. This information provides detail about the data collected, allowing readers to understand the methods used to gather information and the specific results obtained. This type of detail is important in the method section of a research report as it enables the reader to assess the validity and reliability of the research findings. By including the precise measurement data, the study is able to increase the transparency of its methods and results, leading to increased credibility for the findings.

The answer is Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.

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Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.

The concept used in this statement is quantifiable data, specifically the measurement of time spent talking. This information can be quantified and recorded in a numerical format, allowing for easy comparison and analysis.

The statement "For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes." is appropriate for the method section of a research report because it describes a specific result of the experiment being conducted. This information provides detail about the data collected, allowing readers to understand the methods used to gather information and the specific results obtained. This type of detail is important in the method section of a research report as it enables the reader to assess the validity and reliability of the research findings. By including precise measurement data, the study is able to increase the transparency of its methods and results, leading to increased credibility for the findings.

The answer is Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.

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Answer:

$70.00

Step-by-step explanation:

Please find the attachment for detail

The number of different rectangles with an area of 5 sq cm is 2

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

Area = 5 sq cm

The length of each square box is given as

Length = 1 cm

Assume the box cannot be divided

Then the number of rectangles to draw is 2

This is so because the height of the grid is 5 cm and it cannot take more than 5 cm

Also, because the square boxes cannot represent fractions

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Answer: A

Step-by-step explanation:

there are 4 colours all with 1/4 of the marbles in the bag there colour

so the theoretical probability is 25% but slightly more than a quarter came out so experimental cant be 50 or 25 but 25.7%

The y-intercept in the context of the problem means that the tablet starts with 80 percent of the battery remaining.

Option D is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates from the graph are:

(0, 80) and (8, 0).

Now,

(0, 80) is the y-intercept.

It means that at 0 hours, the percentage of battery is 80%.

Now,

(8, 0) is the x-intercept.

It means that after 8 hours, the percentage of battery is 0.

Thus,

The y-intercept means,

The tablet starts with 80 percent of the battery remaining.

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The evolutionary tree is not observed here but it is possible to answer this question by observing which nucleotide is found in the root of the node. It indicates the first substitution.

A phylogenetic evolutionary tree is a diagram used to show the evolution of a given taxonomic group (for example, a group of species).

It is possible to trace the evolution of a given taxon by tracing the nucleotide substitution observed from a common ancestor.

In an evolutionary tree, the root of the node is represented by the common ancestor and therefore the presence of a particular nucleotide (either T or C) in that position can be considered as the ancestral character.

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This equation is balanced, meaning that there is an equal number of atoms on both sides of the equation.

Since there are no gases on either side of the equation, the value of δngas (the change in the number of moles of gas) is 0.

The balanced equation 2pbo (s) o2 (g) ⇌ 2pbo2 (s) states that two moles of lead (II) borate (s) react with one mole of oxygen gas (g) to form two moles of lead (II) borate (s). Since the reaction does not involve any gases, the value of δngas (the change in the number of moles of gas) is 0.

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x² − 2x + 1 = 3x − 5, its x value = 3, 2. This can be solved by factorization.

A word may consist of a number, a variable, the product of two or more variables, or the combination of a number and a variable. Both a single term and a collection of terms can be used to create an algebraic expression. Mathematical expressions consist of at least two numbers or variables, at least one math operation, and one or more mathematical terms. Educate yourself about expressive writing. Mathematical expressions with variables, constants, coefficients, and algebraic operations are called algebraic expressions.

x² − 2x + 1 = 3x − 5

or, x² - 2x - 3x + 1 + 5 = 0

or, x² - 5x + 6 = 0

or, x² -3x - 2x + 6 = 0

or, x (x - 3) - 2 (x - 3) = 0

or, (x - 3) (x - 2) = 0

or, x = 3, 2

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If the cyclist rode for 1 hour at the same average speed, she would have ridden 17.4 miles.

To find the average speed of a cyclist, you can divide the total distance covered by the total time taken. In this case, the cyclist rode for 3.5 hours and completed a distance of 60.9 miles, giving an average speed of 60.9 miles ÷ 3.5 hours = 17.4 miles per hour. This average speed is constant, meaning that the cyclist would have traveled the same distance in 1 hour as she did in 3.5 hours if she kept the same pace.

Therefore, if the cyclist rode for 1 hour at the same average speed, she would have ridden 17.4 miles. This calculation is important for cyclists and other athletes as it helps them to determine their speed and track their progress over time.

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To solve an initial value problem, you need to find a function that satisfies the given differential equation and initial condition(s).

What is the initial value problem?

In multivariable calculus, an initial value problem (IVP) is an ordinary differential equation together with an initial condition that specifies the value of the unknown function at a given point in the domain. Modeling a system in physics or other sciences frequently amounts to solving an initial value problem.

This can be done using various numerical and analytical methods, such as:

Separation of variables

Euler's method

Runge-Kutta methods

Laplace transforms

Series solutions

Qualitative analysis

The method used depends on the form of the differential equation, the required accuracy, and the computational resources available.

Hence, To solve an initial value problem, you need to find a function that satisfies the given differential equation and initial condition(s).

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Answer:

isn't it 90? it has the box next to it

Answer:

Step-by-step explanation:

.

For positive acute angles A and B, it is known that sin A= 4/5 and tan B= 45/28 . Find the value of IIT A+B in simplest form. Question. user avatar image ...

the solution of sin(A + B) in simplest form is 27/35.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We use the trigonometric identity as;

sin(A + B) = sin A cos B + cos A sin B

Hence, we need to find cos A and cos B.

Here, We know that;

⇒ sin A = 4/5,

By use the Pythagorean identity;

sin²A + cos² A = 1

sin² A + cos² A = 1

(4/5)² + cos² A = 1

16/25 + cos² A = 1

cos² A = 9/25

cos A = 3/5

And, we can use the identity;

tan B = sin B / cos B

to find sin B:

tan B = sin B / cos B

45/28 = sin B / √(1 - sin² B)

(45/28)² = sin² B / (1 - sin² B)

sin² B + (45/28)² sin² B = (45/28)²

sin² B (1 + (45/28)²) = (45/28)²

⇒ sin B = 3/7

Now that we have sin A, cos A, sin B, and cos B,

We can put them into the formula for sin(A + B):

sin(A + B) = sin A cos B + cos A sin B

sin(A + B) = (4/5)(45/28) + (3/5)(3/7)

sin(A + B) = 27/35

Therefore, the solution of sin(A + B) in simplest form is 27/35.

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The coordinates of the center (- 4, - 5) and the measure of the diameter for a circle is 16 units.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

The equation of circle is,

⇒ (x + 4)² +(y + 5)² = 64

Now, We know that;

The standard form of circle with center (h, k) and radius r is,

⇒ (x - h)² + (y - k)² = r²

Here, The equation of circle is,

⇒ (x + 4)² +(y + 5)² = 64

⇒ (x - (- 4))² + (y -  (-5))² = 8²

So, By comparing, we get;

The center of circle (h, k) = (- 4, - 5)

And, Radius of circle (r) = 8

Thus, The diameter of circle = 2 × 8 = 16

Therefore, The coordinates of the center (- 4, - 5) and the measure of the diameter for a circle is 16 units.

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Answer: 128

Step-by-step explanation:

Good evening. A straight line forms a 180° angle, so if you split it up, everything is supposed to add up to 180.

[tex]180-52=128[/tex]

Hope this explanation helped.

A conclusion which the diagram support include the following: A. UV/VW = ZY/YX.

The value of x is equal to: D. 15.

The value of x is equal to 4.

In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.

Since side TU is parallel to side QR, side TU will divide both sides QS and RS proportionally in accordance with the triangle proportionality theorem as follows;

Since line segment UW is parallel to line segment ZX, side UW will divide both sides ZY and YX proportionally in accordance with the basic proportionality theorem as follows;

UV/VW = ZY/YX

For triangle JKL, we would apply the basic proportionality theorem as follows:

(x - 6)/3 = x/5

5x - 30 = 3x

5x - 3x = 30

2x = 30

x = 30/2

x = 15.

For triangle ABD, we would apply the basic proportionality theorem as follows:

12/x = 27/(x + 5)

12x + 60 = 27x

27x - 12x = 60

15x = 60

x = 60/15

x = 4.

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The conversion of the weight 171 kg to milligrams is 171000000 milligrams.

The question want us to convert the weight from kilograms to milligrams. The actual weight of the substance is 171 kilograms.

Therefore, the conversion to milligrams can be calculated as follows:

1 kilograms = 1000000 milligrams

171 kilograms = ?

cross multiply

weight in milligrams = 1000000 × 171

weight in milligrams = 171000000 milligrams

Therefore, the weight is 171000000 milligrams.

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R500 is available for Savings.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Zekele earns = R 6500

His bills in one month are:

Rent R1 650,

Electricity R300,

Car payment R1 200,

Insurance R750,

Petrol R400,

Account repayments R500

and Groceries R1 200.

So, after spending on expenses he would save

= 6500 - ( 1650 + 300+ 1200+ 750 +400+ 500+ 1200)

= 6500- 6000

= R 500

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The turtle’s distance from the starting point is increasing for 18 seconds, and the distance between 10 and 12 seconds, the turtle, is -10cm, and the distance between 12 and 14 seconds, the turtle, is 0 cm.

The turtle’s distance from the starting point is 16+(20-16)*1/2=16+2=18sec.

To calculate the distance between 10 and 12 seconds, the turtle is as per the graph shown below we can consider the turtle is in 12:30 cm and 10:30 cm so 30-40=-10cm

To calculate the distance between 12 and 14 seconds, the turtle is as per the graph shown below we can consider the turtle is in 14:30 cm and 12:30 cm so 30-30=0cm

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Answer:The turtle’s distance from the starting point is increasing for

✔ 10

seconds.

Between 10 and 12 seconds, the turtle’s distance is

✔ decreasing

.

Between 12 and 14 seconds, the turtle is

✔ standing still

.

Step-by-step explanation:

The sample space when 3 coins are tossed is given as follows:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.

The outcomes in which the first coin is tails is given as follows:

THH, THT, TTH, TTT.

A sample space is a set that contains all possible outcomes in the context of an experiment.

In this problem, we have three trials, each with two possible outcomes, hence the cardinality of the sample space is obtained as follows:

2³ = 8.

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The correct option for given trigonometric function is C.

What are trigonometric functions?

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.

The angles of sine, cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant and cosecant can be derived from the primary functions.

Now,

For f(x)=2sin^-1()2x

the value of x can be in range {-π/2,π/2}

because sine values are in range {-1,1} for given values of x.

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Right question is provided in image.