Eighty percent of what number is 36?

Answer:

Carrier B

Step-by-step explanation:

The linear equation that represents Carrier B is y=55x+300. it's a linear equation so 55 represent the monthly fee and 300 represents the initial fee. So the initial fee of carrier B is 300. In case of Carrier A, the total cost increases by $150 as months increases by 3. So The initial fee of Carrier A is 500-150=$350 . Hence, Carrier B has lower initial fee.

Few families can survive on a single salary is true statement

Many families rely on dual incomes to make ends meet, especially in areas with high living costs.

However, there are still many families that rely on a single salary to support themselves.

While it may be challenging to make ends meet on a single salary, it is still possible for families to survive and even thrive in these circumstances.

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To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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Answer:

The standard deviation of the sampling distribution of sample means would be 0.8186.

Step-by-step explanation:

We are given that

Mean of population=23.2 pounds

Standard deviation of population=6.6 pounds

n=65

We have to find the standard deviation of the sampling distribution of sample means.

We know that standard deviation of the sampling distribution of sample means

=\(\frac{\sigma}{\sqrt{n}}\)

Using the formula

The standard deviation of the sampling distribution of sample means

=\(\frac{6.6}{\sqrt{65}}\)

\(=0.8186\)

Hence,  the standard deviation of the sampling distribution of sample means would be 0.8186.

After simplificatiοn οf the given expressiοn the factοr is 11. Thus, οptiοn b is cοrrect.

There is a need fοr mathematical οperatiοns like multiplying, splitting, adding, and even deleting. They wοuld result in the fοllοwing assertiοn if cοmbined: A mathematical fοrmula, sοme data, and an equatiοn A declaratiοn οf truth is made up οf values, elements, and mathematical οperatiοns like additiοns, erasures, algebraic expressiοns, and divisiοns. It is pοssible tο rate and analyze wοrds and sentences.

Here,

When we replace these in the statement, we get:

=\(\dfrac{(2^{10} \times 3^{10})(5^3 \times 11^3)(3^2 \times 5^2) }{(2^{10} \times 5^5)(3^{12})(11^{20})}\)

= \(\dfrac{(11 \times 15^2) } {15^2}\)

= 11

After simplificatiοn of the given expressiοn the factor is 11. Thus, οption b is correct.

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Ling is now 17 feet off the ground if she is climbing a rock wall.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

She begins by climbing 12 feet. Then she descends 3 feet to take a different path. She climbs another 8 feet from there.

Ling started 12 feet off the ground and climbed down 3 feet, so she is now 12 - 3 = 9 feet off the ground.

Then she climbed up another 8 feet, so she is now 9 + 8 = 17 feet off the ground.

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Every three candy bars cost a dollar.

Divide 25 by three.  

$8.33

height of the house is 28.4 ft

shadow of the house = 57 feet

height of the house = ?

Height of the girl = 4.7 feet

shadow of the girl = 9.4m

The formula:

height of the house/shadow of the house = height of the girl/shadow of the girl

Answer:

1,510.60 m³

Step-by-step explanation:

Volume of the remaining solid = volume of the larger rectangular prism - volume of the 2 rectangular prism holes carved out

The larger rectangular prism given has equal length, width and height which is 13 meters.

Volume of the larger rectangular prism = 13*13*13 = 2,197 m³

Each rectangular prism hole has:

Length = 13 m

Width = 6.6 m

Height = 4 m

Volume of the 2 holes carved out = 2(13*6.6*4) = 2(343.2) = 686.4 m³

Volume of the remaining solid = 2,197 - 686.4 = 1,510.60 m³

Answer:

Thank you so much made my day!

Step-by-step explanation:

The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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The composition of two isometries is an isometry.

Proof:

Let T1 and T2 be isometries. T1(A) = A' and T1(B) = B'. Therefore by isometry T1, AB = A'B'

T2(A) = A'' and T2(B) = B''. Therefore by isometry T2, AB = A''B''

T2 º T1 = T2(T1(A)) = T2(A') = A'''. T2 º T1 = T2(T1(A)) = T2(B') = B'''. Therefore under composition AB = A'''B''' and distance is preserved.

The inverse of an isometry is an isometry.

Proof:

Given T and isometry. This means T(A) = A' and T(B) = B' with AB = A'B'

The inverse of T, T⁻¹maps A' to A and B' to B, so A'B' maps to AB.

But A'B' = AB and so the inverse is an isometry

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Answer:

194 square units

Step-by-step explanation:

perimeter is the measurement of the distance surrounding a shape. There fore, the perimeter of the shape is: 42+53+56+44=194 square units

The volume of the prism that its faces is made from 6 identical squares is 48 cm³.

A square prism is a 3-dimensional cuboid where the base and top are equal squares.

where

a = side length

h = height

Therefore,

a = 2 cm

h = 12 cm

Therefore,

v = a²h

v = 2² × 12

v = 4 × 12

v = 48 cm³

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Answer:

288cm (cubed)

Step-by-step explanation:

4*2=8*12=96

6*2=12*12=144

2*2=4*12=48

144+96+48=288

Answer:

In 2020 there will be 468,073 people.

Step-by-step explanation:

Giving the following information:

Growth rate (g)= 2% = 0.02

Population 2,000= 315,000

Number of periods (n)= 20 years

To calculate the population in 2020, we need to use the following formula:

FV= PV*(1+g)^n

FV= 315,000*(1.02^20)

FV= 468,073

In 2020 there will be 468,073 people.

Answer: 11.75, 47/4, 3

                                 11 ----

                                    4

Calculate; 25%x47

Answer:

14

Step-by-step explanation:

14.5 to 1

205/14.5 = 14

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

Step-by-step explanation:

Hello!

15 < x + 4

We can subtract 4 from both sides, to cancel it out.

15 - 4 is 11.

11 < x

x = {12,13,14,15,16,..........................................................................Infinity}

Hope I Helped!

Answer:

53

Step-by-step explanation:

Because

Answer:

48×4.3=184 and that is the easy way how to do it

After the stock split, I would have 7500 shares

A stock split is a method by which a company increases the number of its shares outstanding. A stock split leads to a fall in the price per share of the company. A stock split does not have any effect on the market capitalisation of a firm.

A five for one split means that for every one stock a shareholder owns, it is multiplied by 5

Number of stocks a shareholder has after a 5-for-1 stock split = 5 x number of stocks the shareholder had before the split

5 x 1500 = 7500 shares

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Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

At x = -4, y = 2

Now general form of a linear equation is;

Ax + By + C = 0

We are given;

4y = 3x + 6​

Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

Thus, A = 3, B = -4 and C = 6

Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

Thus; d = 14/5

The coordinate of point R after the rotation is determined as = ( - 4, 7).

option A.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.

When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.

The initial coordinate of point R = ( 4, 7),

The new coordinate of point R after the rotation = ( - 4, 7)

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Answer:

the mean is 3

Step-by-step explanation:

Answer:

In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.

To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.

Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.

The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.

The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.

The confidence interval formula is \(\bar x\pm t\frac{s}{\sqrt{n}}\).

Where, \(\bar x\) is the sample mean, t is the critical value, n is the sample size and s is the standard deviation for the sample.

Here,

\(\bar x\) =1.267, s=1.23, n=30

The standard error is Se= 1.23/√30

= 0.2246

Item a:

The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.

Item b:

Using a t-distribution calculator, considering a confidence level of 0.99 with 30 - 1 = 29 df, the critical value is t = 2.7564.

\(\bar x\pm tS_c\)

\(\bar x+ tS_c\) =1.267-2.7564(0.2246) =0.6479

\(\bar x- tS_c\) =1.267+2.7564(0.2246) =1.8861

Therefore, the 99% confidence interval to estimate the true mean score on this question is (0.6479, 1.8861). It means that we are 99% that the true mean score of all students in this question is between 0.6479 and 1.8861.

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Answer:

Its 300.

hope this helps:)

Answer:

3

Step-by-step explanation:

I tried 300 and i got it wrong but instead it gave me this answer :)

Answer:

a] 24.5; b] 2.8; c] 39.59.

Step-by-step explanation:

a. after t=1sec:

h(1)=-4.9*1²+27*1+2.4; ⇔h(1)=24.5 [m];

b. more than 30 [m] heigh:

-4.9t²+27t+2.4≥30; ⇔ 4.9t²-27t+27.6≤0; ⇔(t-1.35)(t-4.15)≤0;

Δt≈4.15-1.35=2.8 [sec];

c. maximum height:

h'(t)=-9.7t+27; ⇒ h'(t)=0, ⇒ -9.7(t-2.78)=0; ⇒ t=2.78 [sec], then

\(h_{max}=h(2.78)=-4.9*2.78^2+27*2.78+2.4=39.59[m].\)