or your retirement you want to have enough funds in your RRSPs to provide an income stream of $25,000 for 30 years. How much money would you need to have accumulated if your RRSPs averaged a real return of four percent per year? (Round to the nearest thousand) a. $441,000 O b. $432,000 C. $384,000 O d. $1,402,000

The area of the triangle is given as: ≈ 70.50cm²

Area of shaded region = Area of the sector less Area of the Triangle.

This is represented as:

π r² (∅/360) - 1/2 x b x h

= π x 14² x (46/360) - (1/2) x 14 x 10.0708

= 78.6794 - 70.4956

= 8.1838 cm²

Hence, the area of the triangle is (1/2) x 14 x 10.0708

= 70.4956 cm²

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Answer: 1. x = 5

              2. x = -3

Step-by-step explanation:

1. x - 5 = 0

  x = 5

2. x + 3 = 0

   x = -3

The expression f (0) in a function is used to represents the y-intercept on the graph of the function f (x).

The point where the graph cuts the y - axis is known as the y - intercept whereas the point where it cuts the x - axis is known as x - axis. The graph cuts y- axis when the value of x coordinate is 0.

The values which satisfies the equation is known as the zeros of the function. The graph of a function is the set of all points in the plane of the form (x f(x)).

The graph of f could similarly be defined as the graph of the equation y = f(x). As a result, the graph of a function is a subset of the graph of an equation.

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The given set of functions is linearly independent since the coefficients of the equation a1(1 + x) + a2(2x) + a3(x²) = 0 are equal to zero if and only if a1 = a2 = a3 = 0. Therefore, the given set of functions is linearly independent.

(a) The given set of functions is linearly independent on the interval (-∞, ∞) if and only if the coefficients of the equation a1f1(x) + a2f2(x) + a3f3(x)

= 0 are equal to zero. The given set of functions is linearly independent since the coefficients of the equation a1 sin x + a2(0) + a3 ln x

= 0 are equal to zero if and only if a1

= a2

= a3

= 0. Therefore, the given set of functions is linearly independent.(b) The given set of functions is linearly independent on the interval (-∞, ∞) if and only if the coefficients of the equation a1f1(x) + a2f2(x) + a3f3(x)

= 0 are equal to zero. The given set of functions is linearly independent since the coefficients of the equation a1(3) + a2(-sin²(x)) + a3(cos²(x))

= 0 are equal to zero if and only if a1

= a2

= a3

= 0. Therefore, the given set of functions is linearly independent.(c) The given set of functions is linearly independent on the interval (-∞, ∞) if and only if the coefficients of the equation a1f1(x) + a2f2(x) + a3f3(x)

= 0 are equal to zero. The given set of functions is linearly independent since the coefficients of the equation a1(1 + x) + a2(2x) + a3(x²

= 0 are equal to zero if and only if a1

= a2

= a3

= 0. Therefore, the given set of functions is linearly independent.

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Answer:

x=5 y=1

Step-by-step explanation:

Like x^2-4x+3=0 or sin(x)=1.

short answer is that x equals 1.

Answer:

54 m

Step-by-step explanation:

Alrighty, what have we here: an area of 162 m² and a width of 9m.

So: A=162m², W=9m, let's draw this: (see the screenshot attached)

Using the formula for area (Area = width x length) we see that:

\(162m^{2} =9m*L\)

Thus: (equating to L by dividing both sides by 9m)

⇒ \(\frac{162m^{2} }{9m}=18m=L\)

Now we have all of our dimensions, we can use the formula for the perimeter to calculate it:

\(perimeter=2W+2L=2*9m+2*18m=18m+36m=54m\)

And there we have our answer.

Answer: 7 1/2 pounds

Step-by-step explanation:

=======================================================

Work Shown:

area = 0.5*side1*side2*sin(angle)

area = 0.5*13*7.5*sin(94)

area = 48.6312474501664

area = 48.6 square inches

Notes:

Answer: 48.6

Step-by-step explanation:

i took the test

The area in a square meter is 5$. We can equate the two expressions for the length of the edge of the square and solve for x:

$4x - 15 = 20 - 3x$

$7x = 35$

$x = 5$

The length of one edge of the square is 5 meters, so the area of the square is $5^2 = 25$ square meters. Therefore 5$ is the solution for the $4x-15$ and  20 - 3x$ equation. 15 and 3 will exchange their places to form 7$ and 35$ and 5$ is the end result of the problem that is given.

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Answer: 6 units

Step-by-step explanation:

I know that in a triangle, there's two angles that have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units.

Answer:

AB = 38.64 m

Step-by-step explanation:

\( \cos \: 75 \degree = \frac{10}{x} \\ \\ x = \frac{10}{ \cos \: 75 \degree } \\ \\ x = 38.637033052 \\ \\ x \approx \: 38.64\)

AB = 38.64 m

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/4.A spinner is a gambling tool used for games and competitions. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result.

When it stops, a pointer will land on one of many different numbered segments of the spinner, each of which corresponds to a particular reward or consequence. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result. Probability is the study of the likelihood of events taking place.

Probability is expressed as a fraction, decimal, or percentage and is always between 0 and 1. The probability of an event can be calculated using the following formula: Probability = number of favorable outcomes / total number of possible outcomes. Given the spinner has a polka-dot section, 2 white sections, and 1 shaded section, it has a total of 4 sections.

Therefore, the probability of the spinner stopping at a polka-dot section is 1/4.Also, after the first spin, the spinner still has 2 white sections. Therefore, the probability of stopping at a solid white section is 2/4 or 1/2 (since there are only 2 possible outcomes after the first spin).

To determine the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section, we must multiply the probability of each event.1/4 × 1/2 = 1/8

Hence, the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

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Answer:

0.291 is the closest

Step-by-step explanation:

ok so 0.8/y=2 3/4

first of all turn it into a decimal

2 3/4= 2.75

2.75=0.8/y

0.8/?=2.75

Answer:

45+5x

Step-by-step explanation:

45 for initial

5 for every hour

x is amount of hours

The answer is 36 cm² because the surface area of the solid shape is equal to the sum of the surface areas of the three cubes. The surface area of each cube is 6a², where a is the side length of the cube.

The side length of the smallest cube is half the side length of the largest cube, so the surface area of the solid shape is 3 * 6a² = 3 * 6 * (a/2)² = 36 cm².

The solid shape is made up of three cubes. The largest cube has side length a, the middle cube has side length a/2, and the smallest cube has side length a/4.

The surface area of the largest cube is 6a². The surface area of the middle cube is 6 * (a/2)² = 3a². The surface area of the smallest cube is 6 * (a/4)² = a².

The total surface area of the solid shape is 6a² + 3a² + a² = 10a².

Since the side length of the smallest cube is half the side length of the largest cube, we know that a = 2 * (a/2) = 2a/2.

Substituting this into the expression for the total surface area, we get 10a² = 10 * (2a/2)² = 10 * 4a²/4 = 30a²/4 = 36 cm².

Therefore, the surface area of the solid shape is 36 cm².

Here are some more details about the problem:

The solid shape is made up of three cubes that are joined together at their faces. The corners of the smallest cube are at the midpoints of the edges of the larger cubes. This means that the surface area of the solid shape is equal to the sum of the surface areas of the three cubes.

The surface area of a cube is equal to 6a², where a is the side length of the cube. In this problem, the side length of the largest cube is a, the side length of the middle cube is a/2, and the side length of the smallest cube is a/4.

The total surface area of the solid shape is equal to 6a² + 3a² + a² = 10a².

We can simplify this expression by substituting a = 2a/2 into the expression for the total surface area. This gives us 10a² = 10 * (2a/2)² = 10 * 4a²/4 = 30a²/4 = 36 cm². Therefore, the surface area of the solid shape is 36 cm².

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Answer: It $7.80 per hour

Hi hi

Step-by-step explanation:

Answer:

6779

Step-by-step explanation:

69

Answer:

Same side interior angles are supplementary, meaning they add up to 180°. We can call the two angles x° and (x + 20)° and we can write the equation:

x + x + 20 = 180

2x + 20 = 180

2x = 160

x = 80 which means the angles are 80° and 80 + 20 = 100°.

Answer:

Top TUV

Bottom: UV, UT, TV

Step-by-step explanation:

The scale factor from the larger to the smaller is 3/4

24(3/4) = 18

12(3/4) = 9

16(3/4) = 12

Answer:

1234567891011121314151617181920

Step-by-step explanation:

you just count

Answer:

9 1/3

Step-by-step explanation:

4 2/3 ÷ 1/2

Write the mixed number as an improper fraction

(3 * 4 +2)/3 = 14/3

14/3 ÷1/2

Copy dot flip

14/3 * 2/1

28/3

Divide 28 by 3

9 with 1 left over

Put the left over part on top of the denominator

9 1/3

Answer:

my answer is A

Step-by-step explanation:

if you work out the equation where you know that at the x intercept y=0 you will find A to be true

The equation to represent the guess game between Kara and Sam is written as:

information gotten from the question include

Kara and Sam are playing a guessing game

two positive integers

The first number minus the second number is 6

The square of the first number minus 2 times the second number is equal to 92

let the first number be x and the second number be y

from the given values, it can be deduced that

x - y = 6

x² - 2y = 92

The two equations represents the system of equation to represent the guess game

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The given answer is incorrect as it incorrectly factors the numerator and includes additional terms. The correct factorization involves factoring out -16t from the numerator and simplifying the expression accordingly.

The given expression involves factoring the numerator, specifically v(2) = lim t→2 \((52t-16t^2) - 40 t- 2\). However, the resulting factorization provided in the answer is incorrect: -16t should be factored out instead of 52. Additionally, the terms t − 40 and t − 2 should not be present in the factorization. Therefore, the answer given is incorrect.

To find the correct factorization, we need to rearrange the expression. Starting with v(2) = lim t→2  \((52t-16t^2) - 40 t- 2\), we can factor out a common factor of -16t from the numerator. This gives us v(2) = lim t→2 -16t(4 - 13t) - 40 t - 2. Simplifying further, we obtain v(2) = lim t→2 -16t(13t - 4) - 40 t - 2. It is important to carefully follow the rules of factoring and simplify each term to correctly obtain the factorization.

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Step-by-step explanation:

they are vatically opposites

Answer:

11.0366

Step-by-step explanation:

Look at the 5th digit after the decimal place. If it is a 4 or lower, round down. If it is a 5 or higher, round up:

11.03656 - 6 is higher than 5 so the number is rounded up to 11.0366

Hope this helps!

The number is rounded up to 11.0366.

The place values on left of decimal point start as ones, tens, hundreds, and so on...

The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on..

Thus, The tens means multiply by 10

Thus, The tenth means tenth part of that digit which is that digit divided by 10

If we Look at the 5th digit after the decimal place. it is a 4 or lower, round down. If it is a 5 or higher, round up:

11.03656 -

6 is higher than 5 so, the number is rounded up to 11.0366.

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The x-intercepts of the graph of the function are (-2, 0), (5, 0)

The midpoint of the x-intercept is 1.5.

The extremum of the function is a minimum and the value of x at which it occurs is k(1.5) = -61.25.

In Mathematics, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).

In this exercise, we would use an online graphing calculator to plot the quadratic equation in order to determine the x-intercepts as shown in the graph attached below.

Therefore, the x-intercepts of the graph of the given quadratic equation k(x) = 5x² - 15x - 50 including the following:

Since a line of symmetry must lie in the middle of the x-intercepts, the symmetry is given by;

x = (-2 + 5)/2

x = 3/2

x = 1.5

For the extremum, we have;

k(1.5) = 5(1.5)² - 15(1.5) - 50

k(1.5) = 11.25 - 22.5 - 50

k(1.5) = -61.25

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The area of this region is equal to \(\pi \cdot (\sqrt{35})^2 = 35\pi\)

The equation for the set of complex numbers z such that the real part of 1/z is equal to 1/6 is given by:

Re(1/z) = 1/6

Since 1/z = 1/x + i/y,

Where x and y are the real and imaginary parts of z, respectively,

we can write the equation as:

(1/x)=(1/6) and \($\frac{y}{x^2 + y^2} = \frac{1}{6}$\)

From the first equation,

we have x = 6.

Substituting this value into the second equation, we get:

\($\frac{y}{36 + y^2} = \frac{1}{6}$\)

Solving for y,

we find that \($y = \pm \sqrt{35}$\).

So, the set of complex numbers z that satisfies the equation forms a circle centred at 6 + 0i with radius \($\sqrt{35}$\).

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Answer: The first word in the alternative statistical hypothesis for an experiment with three levels of a single independent variable (IV) is "differences." This is because the alternative hypothesis typically involves the existence of differences between the levels of the IV.

Step-by-step explanation:

Here is how to formulate the alternative hypothesis for an experiment with three levels of a single IV:

Identify the independent variable (IV) and the levels of the IV. In this case, there is a single IV with three levels.

Determine the relationship between the IV and the dependent variable (DV). In other words, consider how the levels of the IV may affect the DV.

Write the alternative hypothesis in terms of the relationship between the IV and the DV. The alternative hypothesis should state that there are differences between the levels of the IV in their effect on the DV.

For example, if the IV is "type of exercise" and the levels are "running," "cycling," and "swimming," and the DV is "improvement in cardiovascular fitness," the alternative hypothesis might be "There are differences in the improvement in cardiovascular fitness between the three types of exercise."

What is the null hypothesis in an experiment?

The null hypothesis in an experiment is a statement that there is no relationship between the IV and the DV, or that there are no differences between the levels of the IV in their effect on the DV. The null hypothesis is typically denoted as H0. In the example given above, the null hypothesis might be "There is no difference in the improvement in cardiovascular fitness between the three types of exercise."

This means that the hypothesis is testing whether there are significant differences between the means of the three levels of the IV. Therefore, the first word in the alternative statistical hypothesis for any experiment with three levels of a single IV is "differences."

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The first word in the alternative statistical hypothesis for any experiment with three levels of a single IV is "difference," which refers to the difference between the means of the three levels of the IV.

What is hypothesis?

Hypothesis is an educated guess or prediction made in response to a question or problem. It is based on prior knowledge and experience, as well as available evidence. The purpose of a hypothesis is to suggest a possible explanation for an observed phenomenon and then to test the validity of the hypothesis through further research or experimentation. If the hypothesis is proven correct, it can become a theory. Hypotheses can also be disproven or modified through further testing.

This is a reference to the null hypothesis, which states that there is no difference between the means of the different levels of the IV. The alternative hypothesis is that there is a difference between the means of the different levels of the IV.

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Answer:

Start

Collect the ingredients

Mix the ingredients in a bowl to make the batter

Preheat the oven

Grease the baking pan with oil

Pour the batter into the baking pan

Place the pan into the oven

Set a timer

Bake the cake

Check the cake if needed

Take the baking pan out of the oven  when the timer turns off

Cool the cake and slice it

Stop

Step-by-step explanation:

The first thing to do is to gather the ingredients of cake like flour, sugar, butter, eggs etc.

Next thing is to mix all the ingredients together to make a mixture of cake.

Next task is to pre-heat the over for example pre-hear the oven to 320°F

Next task is to pour the prepared mixture in to a pan before baking it.

Now place the pan into the oven for baking.

Now set a timer for baking the cake.

You can check if the cake is being baked rightly in between the baking process.

Take the baking pan out of the oven  when the timer ends

Place the baking pan to cool it and then cut the cake in to slices.

Enjoy eating!