Savings accounts are a reliable way to store money for the future

Answer: 1.12

Step-by-step explanation: just add the numbers

Answer :

Step-by-step explanation:

It's given that, Area of square is 595.36 square feet.

As we know that area of square is calculated by,

Area = side²

Substituting the values,

595.36 = side

side =√595.36

side = 24.4 feet

Hence, the side of the square is 24.4 feet.

Now,

Perimeter (square) = 4 × side

Perimeter = 4 × 24.4

Perimeter = 97.6 feet

Therefore, The perimeter of the square is 97.6 feet

Answer: Break the numbers you're multiplying into parts.

Step-by-step explanation:

What I find helps is splitting up the numbers and later adding them back together. An example of this is:

29×14

First I'd do 29×10, and get 290

Then 20×4, followed by 9×4, resulting in 80 and 36 respectively

Finally, 290+80+36= 406

I find the simplest numbers in the problem (2,5,10,20, etc.) and multiply from there. This may not be the best trick, but this is what I find helps. I hope this may help you too, and I wish you the best of luck.

The intersection points are (6, 6) and (-6, -6).

What is Intersection points?

The point at which two lines or curves intersect is referred to as the point of intersection. The point at which two curves intersect is crucial because it is the point at which the two curves take on the same value.

The given curves are the polar equations of two circles with radii 6. To find their intersection points, we can set the two equations equal to each other and solve for Ф.

6 sin(Ф) = 6 cos(Ф)

Dividing both sides by 6 and rearranging terms, we get:

tan(Ф) = 1

This equation has infinitely many solutions, but we are only interested in those that lie in the interval [0, π/2].

Ф = π/4 satisfies this condition and corresponds to the point (6, 6) in Cartesian coordinates.

Since the two curves are circles, they are symmetrical about the origin. Therefore, we can deduce that the other intersection point is (-6, -6).

Therefore, the intersection points are (6, 6) and (-6, -6).

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Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

             {4,  6}

      C) -  The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

MAKE A PLAN:

List The OUTCOMES for EACH EVENT and their COMBINATIONS:

        a) -  EVENT  "A":  {2, 4, 6, 8}

               EVENT "B":   {3, 4, 5, 6}

               EVENT "A" or "B": {2, 3, 4, 5, 6, 8}

        b) - EVENT "A"  or "B":  {4, 6}

        c) -  The COMPLEMENT of the EVENT "A":  {1, 3, 5, 7}

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

            {4,  6}

      C) - The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

I hope this helps!

SOLUTION

The data can be modeled as an exponential function

The exponential function is of the form

Using the table of values the values of a and b is as shown

Using the derived values, it follows

Therefore the model is

Answer:

3/10

Step-by-step explanation:

Taking the decimal values (upto the thousandths place)

Clearly,

3/10 is the smallest number among the given options.

Given that are numbers we need to check which is the smallest from this,

To determine which of the given numbers is the smallest, we can compare them by finding a common denominator and then comparing the numerators.

The common denominator for 1/3, 3/10, 2/5, and 3/8 is 120 (the least common multiple of 3, 10, 5, and 8).

Now, let's convert each fraction to have a denominator of 120:

1/3 = 40/120

3/10 = 36/120

2/5 = 48/120

3/8 = 45/120

Comparing the numerators, we can see that 36/120 (3/10) is the smallest.

Therefore, 3/10 is the smallest number among the given options.

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Answer:

x=90 degrees

y=43 degrees

hope this helps.

Answer:

The value of x is 113

Step-by-step explanation:

131+110+108+107=456

569-456=113

Answer:

x = 84°

Step-by-step explanation:

Formula we use,

→ A + B + C + D + E = 540°

The equation we form is,

→ 131° + 108° + 107° + 110° + x = 540°

Now the value of x will be,

→ 131° + 108° + 107° + 110° + x = 540°

→ 456° + x = 540°

→ x = 540° - 456°

→ [ x = 84° ]

Hence, the value of x is 84°.

The dimensions of the circles are as follows

1. Chord AB = 9

2. Chord FG = 6

3. Chord KM = 8

4. Arc length XY = 105 degrees

5. Arc length TU = 85 degrees

6. Arc length TU = 130 degrees

7. QS is the diameter because it bisects the chord and perpendicular to the chord

8. QS is not a diameter because it does not bisect the chord

9. QS is not a diameter because it is not perpendicular the chord

Chords with matching measurements share congruence due to being equidistant from the circle's center.

Congruent radii stem from each chord midpoint, indicating two equivalent right triangles are created; therefore, their respective intercepted arcs also equal in degree measurement.

Therefore, if two chords possess uniform lengths, they will intercept equal degrees along the circle.

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Answer:

∠ GJK = 102°

Step-by-step explanation:

(2x + 92) and (3x + 63) are same- side interior angles and sum to 180° , so

2x + 92 + 3x + 63 = 180

5x + 155 = 180 ( subtract 155 from both sides )

5x = 25 ( divide both sides by 5 )

x = 5

Then

∠ GJK = 2x + 92 = 2(5) + 92 = 10 + 92 = 102°

Answer:

d = √  [ (∆x)² + (∆y)²  ]

  d = √  [  (3.2 – 2)² + (6 – 3.6)²   ]

  d = √  7.2  =  √  (36 ⁄ 5)  =  6(√ 5) ⁄ 5  =  2.68 Hope this helps :)

Answer:

x = -7,   y = 5

Step-by-step explanation:

a) x + 9y = 38,   b) 3x + 7y = 14

From a)

x = 38 - 9y ---- (Equation 1)

From b)

{3*(38 - 9y)} + 7y = 14 ----- (From equation 1)

114 - 27y + 7y -14 = 0

100 - 20y = 0

20y = 100

y = 5

From a)

x + (9*5) = 38  (substituting the value of y = 5)

x + 45 = 38

x = 38 - 45

x = -7

Hope, this will help

The linear equation we need to solve is:

$27.50*w = $309.99 - $144.99

And the solution is w = 6.

How to write and solve the equation?

We know that the cost of the gaming chair is $309.99.

To buy this, you already have saved $144.99, and save another $27.50 per week, then the amount you have after w weeks is:

f(w) = $144.99 + $27.50*w

So the linear equation we need to solve is:

$144.99 + $27.50*w = $309.99

To solve this we need to isolate w.

$144.99 + $27.50*w = $309.99

$27.50*w = $309.99 - $144.99

w = ($309.99 - $144.99)/$27.50 = 6

So they can buy the chair after 6 weeks.

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The coordinates of a midpoint of a line delimited by two endpoints is:

Where (xm,ym) are the coordinates of the midpoint, (x1,y1) are the coordinates of the first endpoint and (x2,y2) are the coordinates of the second endpoint. We want to find (x2,y2), therefore:

The coordinates of the endpoint two are (7,21).

The area of the given shape which is a sector of the circle is 3.14 sq.units.

What is a sector of a circle?

An area of a circle that is contained within its two radii and the arc that connects them is called a sector. A semicircle, which represents one-half of a circle, is the most typical sector of a circle.

Given a sector of a circle.

The radius of the circle  = 2

Given π = 3.14

Area of circle = πr²

Area of sector  = ( θ / 360° ) *  πr²

where θ =  sector angle

For the given shape, sector angle = 90°

Area of sector = (90°/360°) × 3.14 × 2² = (1/4) × 3.14 × 4 = 3.14

Therefore the area of the given sector of the circle is 3.14 sq.units.

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Answer:

339.29

Step-by-step explanation:

total circle area = 452.39

why?

because area of circle equation = pi * r^2

pi is the weird symbol. pi = 3.14

r = radius

r = 12

3.14 * 12^2 = 452.389342

simplified to 452.39.

but that is the whole thing.

we want only the shaded area.

first we will find the area the not shaded bit. then we will minus the total area, 452.39, by the not shaded bit so we only have the shaded bit.

again, area of circle equation = pi * r^2

r = 6.

3.14 * 6^2 = 113.097336

this is the not shaded bit. it can be simplified to 113.1

total area - not shaded bit = shaded bit

452.39 - 113.1 = 339.29

Answer:58.5 that is your answer

Using the normal distribution and the central limit theorem, it is found that  there is a 0.0284 = 2.84% probability of finding a sample mean mass of 695g or below.

----------------------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean and standard deviation , the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

----------------------------------

The probability of finding a sample mean mass of 695g or below is the p-value of Z when X = 695, thus:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{695 - 700}{2.625}\)

\(Z = -1.905\)

\(Z = -1.905\) has a p-value of 0.0284.

0.0284 = 2.84% probability of finding a sample mean mass of 695g or below.

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The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:

-5y = -375

1. Given equations:

  - x + 3y = 350    (Equation 1)

  - 2x + 4y = 625   (Equation 2)

2. Multiply Equation 1 by 2:

  - 2(x + 3y) = 2(350)

  - 2x + 6y = 700    (Equation 3)

3. Subtract Equation 2 from Equation 3:

  - (2x + 6y) - (2x + 4y) = 700 - 625

  - 2x - 2x + 6y - 4y = 75

  - 2y = 75

4. Simplify Equation 4:

  -2y = 75

5. To isolate the variable y, divide both sides of Equation 5 by -2:

  y = 75 / -2

  y = -37.5

6. Therefore, the resulting equation is:

  -5y = -375

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Answer:

Algebric answer in explanation

Step-by-step explanation:

For the angle on the left:

2x+34=90

2x=56

x=28

Then, solve x while x=28:

2(28)= 56

For the angle on the right:

4x+3x=180

7x=180

x= 25.7

4(25.7)= 103

3(25.7)= 77

The probability that two cards will be drawn at random, without replacement, is 13/18.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application.

Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

According to our answer-

P(at least 1 green) = 1 - P(no green)

P(no green) = draw yellow on both draws

= P(draw yellow on 1st draw) * P( draw yellow on 2nd draw, given draw yellow on 1st draw)

= 5/9 * 4/8 = 20/72 = 5/18

P(at least 1 green) = 1 - 5/18

= 13/18

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Answer:

Sorry, you didn't post the equation.

Step-by-step explanation:

Maybe you could post a new and complete question?

Answer:

convert the diameter and the height to the same unit

Step-by-step explanation:

Answer: convert the diameter and the height to the same unit

Step-by-step explanation:

      The surface area of a cylinder can be found with A = 2πrh + 2πr². To use this formula, all units of measurement must be the same.

      This can be converting 5 centimeters to millimeters or converting 50 millimeters to 5 centimeters.

The period of the sine function representing the position of the band members is 60 feet, and the amplitude is approximately   \(170.3 feet.\)

Since the band members are standing in the shape of a sinusoidal function, we can assume that their positions can be represented by the equation:

\(y = A sin(Bx)\)

where y is the vertical position of a band member, x is the horizontal position on the field, A is the amplitude, and B is the period.

Since Darla is positioned in the exact center of the field, and the person closest to her on the same horizontal line stands 10 yards away, we can assume that the sinusoidal function has a phase shift of 0. This means that the midline of the function passes through the point (0, 0).

To find the amplitude, we need to determine the maximum and minimum heights of the function.

Since the playing area of the football field measures 300 feet by 160 feet, the distance between the two farthest points on the field is the diagonal distance, which can be calculated using the Pythagorean theorem:

\(sqrt(300^2 + 160^2) \approx 340.6 feet\)

Since the distance between the farthest points on the field is equal to the distance between two peaks or two valleys of the sinusoidal function, the amplitude is half of this distance:

\(A = 340.6/2 \approx170.3 feet\)

To find the period, we can use the fact that the distance between two consecutive peaks or valleys is equal to the period of the function.

Since the person closest to Darla stands 10 yards away, or 30 feet away, we can assume that this person is standing at a peak or a valley of the function. This means that the period is twice the distance between Darla and the person closest to her:

\(P = 2(30) = 60 feet\)

Therefore, the period of the sine function representing the position of the band members is 60 feet, and the amplitude is approximately   \(170.3 feet.\)

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Answer:

To one decimal place,

y = 16.3 m

Step-by-step explanation:

Using SOHCAHTOA,

In this case we need to use CAH,

WE know the angle = 25 and the hypotenuse H = 18,

so,

y = adjacent

\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)

Answer: 16.3 in.

Step-by-step explanation:

use SOH CAH TOA

cos x = adj/hyp

cos 25  = y/18

18 cos 25  = y

y= 16.3

Answer:

A) 73.6%

Step-by-step explanation:

The computation of the percentage is shown below

Given that

W = Woe^{-0.09t}

After 34 days

W = W_oe^{-0.009×34}

= 0.736W_o

Now the percentage is

= 0.736 × 100

= 73.6%