A company deposits the sum of N200,000 in a bank for 90 days at 12. 75% interest. Compute the exact interest

The width of a confidence interval increase except increased sample size , the correct option is (b) .

In the question,

it is asked that which option will decrease the width of a confidence interval ,

we know that the ,

the decrease in sample size increases the width of the confidence interval , and

the increased confidence interval also leads to increase in width of confidence interval , and

the increase in variation also leads to increase in the width of the confidence interval .

So , the only option that decreases the width of the confidence interval is increased sample size

that is increase in sample sizes causes smaller confidence interval.

Therefore , the correct option is (b) .

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Let the original price of the item be X.

In one week, the price is halved and becomes (1/2)X.

In two weeks, the price is halved again and becomes (1/4)X, which is only 75% off.

Answer:

c

Step-by-step explanation:

Triangle ABD is congruent to triangle ACD so segment BD is Congruent to segment DC

Therefore DC=14

Therefore, the correct option is (d) $270.48, which represents your take-home pay after deducting the specified taxes from your earnings.

To calculate the take-home pay, we need to subtract the total amount of taxes from the earnings.

In this case, the earnings are $420 per week.

The social security tax is 7.65% of the earnings. Therefore, the amount deducted for social security tax is:

Social security tax = 7.65% * $420 = $32.13

The federal tax is 22% of the earnings. So, the amount deducted for federal tax is:

Federal tax = 22% * $420 = $92.40

The state tax is 5.95% of the earnings. Hence, the amount deducted for state tax is:

State tax = 5.95% * $420 = $24.99

To calculate the take-home pay, we subtract the total taxes from the earnings:

Take-home pay = $420 - ($32.13 + $92.40 + $24.99) = $270.48

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Answer:

87 Adult tickets were sold

Step-by-step explanation:

This type of question relates to a system of equations. These types of questions are pretty easy to spot and they are just about solved all the same way.

So what we first want to do is see that there is a total of 159 tickets sold. Now obviously that number consists of the adult and children tickets, therefore we need to add those two unknown numbers to get 159, so x will be for adults and y will be for children tickets. this will give us the equation x + y= 159.

Next, we want to associate the amount those tickets are with those variables, because you can only have so many adult tickets and children tickets with the given $1794. So what we need to do is similar, we just have those totals added to get the equation 14x + 8y = 1794.

Now we want to use the process of elimination to find the value of x (because we are solving how many adult tickets were sold). IN order to do elimination, we need to have the equation x + y= 159 cancel the y value to leave us with the x value. In order to do this, you need to multiply y by a value that cancels 8y in 14x + 8y = 1794, which is -8.

So we multiply the entire equation of x + y= 159 by -8 to get. Now we would add these equations together where you subtract by like terms so:

\(14x + 8y = 1794\\-8x - 8y = -1272\)

This leaves us with 6x=522 now you would divide by 6 to isolate x which leaves you with 87.

To answer this question we will use the following property of logarithms:

Dividing the given equation by 4 we get:

Simplifying the above result we get:

Applying the natural logarithm we get:

Applying the property of logarithms we get:

Therefore:

Answer: Option D.

Answer:

Step-by-step explanation:

Let the greater part = x

Smaller part = 105 - x

2*(greater part) = (3*smaller part) - 15

2*x = 3*(105 -x) - 15

Use distributive property

2x = 3*105 - 3*x - 15    

2x = 315 - 3x - 15

2x =  300 - 3x

Add 3x to both sides

2x +3x = 300

5x = 300

Divide both sides by 5

x = 300/5

x =60

Smaller part = 105 - 60  = 45

Greater part = Rs. 60

Smaller part = Rs. 45

One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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The equation in spherical coordinates is a) 3sin²ϕ - 2sinϕcosθ/ρ - 3cos²ϕ = 0

b) 2sinφcosθ + 4sinφsinθ + 5cosφ = 1/ρ

a) The equation in Cartesian coordinates is 3x² - 2x + 3y² - 3z² = 0. To convert to spherical coordinates, we use the following substitutions:

x = ρsinϕcosθ

y = ρsinϕsinθ

z = ρcosϕ

Substituting these values into the Cartesian equation gives:

3(ρsinϕcosθ)² - 2(ρsinϕcosθ) + 3(ρsinϕsinθ)² - 3(ρcosϕ)² = 0

3ρ²sin²ϕcos²θ - 2ρsinϕcosθ + 3ρ²sin²ϕsin²θ - 3ρ²cos²ϕ = 0

3ρ²sin²ϕ(cos²θ + sin²θ) - 2ρsinϕcosθ - 3ρ²cos²ϕ = 0

3ρ²sin²ϕ - 2ρsinϕcosθ - 3ρ²cos²ϕ = 0

Simplifying and dividing by ρ² gives:

3sin²ϕ - 2sinϕcosθ/ρ - 3cos²ϕ = 0

(b) The equation in rectangular coordinates is 2x + 4y + 5z = 1. To write it in spherical coordinates, we use the same conversion formulas as before:

2(ρsinφcosθ) + 4(ρsinφsinθ) + 5(ρcosφ) = 1

Simplifying and dividing by ρ, we get:

2sinφcosθ + 4sinφsinθ + 5cosφ = 1/ρ

This is the equation in spherical coordinates.

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The probability that the average weight of the four babies will be more than 7.5 lbs is approximately 0.1271 or 12.71%.

To obtain the probability that the average weight of the four babies will be more than 7.5 lbs, we need to calculate the z-score and use the standard normal distribution.

The z-score formula is given by:

z = (x - μ) / (σ / sqrt(n))

Where:

x = desired value (7.5 lbs)

μ = mean weight (7 lbs)

σ = standard deviation (0.875 lbs)

n = sample size (4)

Substituting the given values into the formula:

z = (7.5 - 7) / (0.875 / sqrt(4))

 = (0.5) / (0.875 / 2)

 = 1.14286

Next, we need to find the probability of the z-score being greater than 1.14286 using a standard normal distribution table or a statistical software.

Assuming a two-tailed test, we want to find the probability in the right tail.

Using a standard normal distribution table, we find that the cumulative probability corresponding to a z-score of 1.14286 ≈ 0.8729.

However, since we want the probability in the right tail, we subtract this value from 1.

P(Z > 1.14286) ≈ 1 - 0.8729

             ≈ 0.1271

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Answer:

x = y = 20

Step-by-step explanation:

The two triangles shown are similar because one is simply an extension of othe other.

From this, we can use a similar side lengths formula specifically for triangles.

\(\frac{y + 5}{y} = \frac{15}{12}\\\)

Notice that this represents the ratio of the whole side to the smaller side and says that this proportion is equal to the proportion for its adjacent side lengths. Cross mutiply the above equation to solve for y.

12(y+5) = 15y

12y + 60 = 15y

y = 20

Now we need to find the value of x. We have a side and hypotenuse's length of this large triangle, so we can use the pythagorean theorem to calculate the unknown side length.

(12 + 3)² + x² = (20 + 5)²

15² + x² = 25²

225 + x² = 625

x² = 400

x = ±20

The negative 20 doesn't make sense for this application so use the positive 20.

Therefore x = 20, y = 20.

Answer:

not enough info

Step-by-step explanation:

The approximate volume of the sphere is 6.01 ft³.

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The volume of a sphere is expressed as:

Volume =  (4/3)πr³

Where r is the radius of the sphere and π is the mathematical constant pi (approximately equal to 3.14).

Given that the surface area of the sphere is 16 square feet.

First, we determine the radius r:

Surface area = 4πr²

Hence

16 = 4πr²

Dividing both sides by 4π, we get:

r² = 16/4πr

r = √( 16/4πr )

r = 1.128 ft

Plugging in the value of r that we just found, we get:

Volume =  (4/3)πr³

Volume =  (4/3) × 3.14 × (1.128 ft)³

Volume =  6.01 ft³

Therefore, teh volume is 6.01 ft³.

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Answer:

Plywood1: x = width ; length = 2x

1) x (2x) = 4.5

2) 2x² - 4.5 = 0

a = 2 ; b = 0 ; c = -4.5

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a} = \frac{0 \pm\sqrt{0-4(2)(-4.5)} }{2(2)}= \frac{\pm6}{4} = \boxed{\frac{3}{2}}x=

2a

−b±

b

2

−4ac

=

2(2)

0±

0−4(2)(−4.5)

=

4

±6

=

2

3

Plywood2: x = width ; length = 2x-1.4

1) x (2x-1.4) = 16

2) 2x² -1.4x -16 = 0

a = 2 ; b = -1.4 ; c = -16

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{1.4 \pm\sqrt{1.96-4(2)(-16)} } < br / > {2(2)}=\frac{1.4 \pm11.4 }{4}=\boxed{3.2}x=

2a

−b±

b

2

−4ac

=

<

1.4±

1.96−4(2)(−16)

br/>2(2)=

4

1.4±11.4

=

3.2

Plywood3: x = width ; length = 5-x

1) x (5-x) = 6

2) -x² +5x -6 = 0

a = -1 ; b = 5 ; c = -6

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{-5 \pm\sqrt{25-4(-1)(-6)} }{2(-1)}=\frac{-5 \pm1}{-2}x=

2a

−b±

b

2

−4ac

=

2(−1)

−5±

25−4(−1)(−6)

=

−2

−5±1

\boxed{x_1=3}

x

1

=3

\boxed{x_2=2}

x

2

=2

BRAIN LESS ANSWER

The area of the parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet is,

⇒ four hundred thirty-three and one-eighth ft²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

A parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet.

Now, We know that;

Area of a parallelogram = Base × Height

Substitute the given values, we get;

⇒ Area of a parallelogram = Base × Height

⇒ Area of a parallelogram = 22 1/2 × 19 1/4

⇒ Area of a parallelogram = 45/2 × 77/4

⇒ Area of a parallelogram = 3465/8

⇒ Area of a parallelogram = 433 1/8 ft²

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When holes are drilled through the wall of a water tower, water will spurt out the greatest horizontal distance from the hole closest to the top of the tower. This is because water is subject to gravity, which pulls it downward. Second option is correct answer.

The water at the top of the tower has the highest potential energy and therefore has the greatest force pushing it out of the hole. As the water falls, it gains speed and momentum, allowing it to travel a greater horizontal distance before hitting the ground.

On the other hand, the water at the bottom of the tower has the lowest potential energy, so it will not spurt out as far as the water from the top. The water from the middle of the tower will have a moderate horizontal distance, but it will still not reach as far as the water from the top.

Therefore, the answer is that water will spurt out the greatest horizontal distance from the hole closest to the top of the tower. Therefore, correct answer is second option.

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Answer:

To find the width of the microchip in Trey's new scale drawing, we need to apply the new scale of 3 inches to 1 centimeter. If the actual width of the microchip is 2 centimeters, we can multiply it by the new scale to find the equivalent width in inches.

So, the width of the microchip in Trey's new scale drawing would be 2 centimeters * (3 inches/1 centimeter) = 6 inches.

Step-by-step explanation:

Answer:

1/8 m

Step-by-step explanation:

\(\frac{3}{4} =\frac{6}{8}\\\\1\frac{7}{8} -1\frac{6}{8}= \frac{1}{8}\)

Answer:

Step-by-step explanation:

Slope - intercept formula: y = mx + b, where m- slope, b- y-intercept

1. Points are:

Slope is:

y-intercept is - 6 as per graph

Then the formula is

2. Points are:

Slope is:

y-intercept is 5 as per point

Then the formula is

3. Points are:

Slope is

y-intercept is -5 as per graph

Then the formula is

Answer:

B. The graph curves away from its sum

Step-by-step explanation:

A convergent infinite geometric series, the graph of the series curves away from the sum, the correct option is B.

A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.

The standard equation for geometric series is

Tₙ = a₁ rⁿ⁻¹

The sum of an infinite geometric series is given by

S = a₁/(1-r)

where a₁ is the first term and r is the common ratio.

The graph of an infinite series curves away from its sum.

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Yes, it is possible for a nonhomogeneous system of seven equations in six unknowns to have a unique solution for some right-hand side of constants.

This occurs when the right-hand side is chosen in such a way that the system of equations is consistent and the rank of the coefficient matrix is equal to six.

In this case, the unique solution can be found by using techniques such as Gaussian elimination or matrix inversion.
However, it is not possible for such a system to have a unique solution for every right-hand side. This is because if the rank of the coefficient matrix is less than six, then the system is underdetermined and there will be infinitely many solutions.

On the other hand, if the rank of the coefficient matrix is greater than six, then the system is overdetermined and there will be no solutions.

Therefore, a unique solution is only possible when the rank of the coefficient matrix is exactly six.

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Answer:

1/9

Step-by-step explanation:

I think that you dont need an explanation, right?

Answer:

C

Step-by-step explanation:

sheeeeeeeeeeeeeeshhhh

Answer:

ssa is right answer I already do this type of activities

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The cost for purchase of 0 tokens is $60. This "initial value" is the y-intercept of the function.

The cost for each token is $1.00/10 = 1/10 (dollar), so the slope of the function is 1/10.

The slope-intercept form of the function can be written ...

  y = mx + b . . . . . for slope m and y-intercept b

  y = 1/10x + 60

__

The minimum value of this function is 60, so the range is y ≥ 60.

The function is defined for all real numbers, but only makes sense for all non-negative integers. So, we cannot claim the domain is all real numbers.

Answer:

(B, C, E)

Step-by-step explanation:

Let's evaluate each answer choice:

"The slope of the function is $1.00"

Wrong. The slope is how much one game token costs. It costs $1 per 10 tokens, not 1 token. To find the cost of 1 game token, you would divide 1 by 10, giving you a value of 1/10.

"The y-intercept of the function is $60"

Correct. The initial fee is $60, and this initial fee doesn't change, so it's the y-intercept.

"The function can be represented by the equation y = 1/10x + 60"

Correct. We just mentioned before that the slope is 1/10 and the y-intercept is 60.

"The domain is all real numbers"

Wrong. "All real numbers" also includes negative numbers. However, x represents the number of tokens bought, and you can't buy a negative amount of tokens.

"The range is {y| y >= 60}"

Correct. The range represents the total cost of a yearly membership. When you get the membership, you're ALWAYS going to have to pay $60, no matter how many tokens you buy after that.

Hope this helps (●'◡'●)

the answer is in the pic

The formula holds for k+1 as well. By mathematical induction, the formula holds for all positive integers n.

We can prove this by mathematical induction.

Base case: When n = 1, we have:

∑1 k=1 k^2k = 1^21 = 1

and

(n − 1)2n+1 + 2 = (1 − 1)2(1) + 2 = 2

So the formula holds for n = 1.

Inductive step: Assume that the formula holds for some positive integer k, i.e.,

∑k k=1 k^2k = (k − 1)2k+1 + 2

We want to show that the formula also holds for k+1, i.e.,

∑k+1 k=1 k^2k = k2k+1 + (k+1)^2(k+1)

Using the assumption, we can write:

∑k+1 k=1 k^2k = ∑k k=1 k^2k + (k+1)^2(k+1)

= (k − 1)2k+1 + 2 + (k+1)^2(k+1) (using the assumption)

= (k − 1)2k+1 + 2 + (k^3 + 3k^2 + 3k + 1)

= (k − 1)2k+1 + k^3 + 3k^2 + 3k + 3

= k^2(k+1) + k(k+1) + 2(k+1) + (k − 1)2(k+1)

= (k+1)[k^2 + k + 2(k-1)]

= (k+1)(k^2 + k + 2k - 2 + 2)

= k^3 + 3k^2 + 3k + 2k^2 + 2k + 2

= (k+1)^3 + 2

Therefore, the formula holds for k+1 as well.

By mathematical induction, the formula holds for all positive integers n.

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Answer:

First one: Rotation

Second one: Translation

Third one: Reflection

Fourth one: Translation

Step-by-step explanation:

Answer:

I hope I helped you!

Answer: 1m

Step-by-step explanation:

since model is 20cm, a 1:5 scale means the actual is 5x as big. since 20cm x 5 is 100 cm and 1m is 100 cm, the answer in the box should be 1.