Lily wants to open an investment account to save for a down payment on a house. The growth of the account that her banker recommends (account A) can be modeled by the function A(t) = 3,000(1.024)^4t, where t is the number of years that the account is open.

Consider the account that Lily’s banker recommends (account A) to complete the statement.

Select the correct answer from each drop-down menu.
If Lily chooses account A, the balance of her account would increase by a rate of __
on a __ basis.

1. .024%
0.24%
2.4%
3%
4%
1.024%

2. monthly
yearly
quarterly
weekly
semi-annual

The probability that a randomly selected label produced by the company will contain a defective compact disk is 0.034.

In this, it should be noted that there are 3 possible cases in the chosen disc can be from any of the manufacturing companies, so the total probability will be the sum of probabilities of getting a faulty disc from companies 1-3.

The probability from company 1 will be;

= 0.03*0.36

The probability from company 2 will be:

= 0.04*0.52

The probability from company 3 will be:

= 0.02*0.12

The total probability will now be:= (0.36*0.03)+(0.04*0.52)+(0.02*0.12)

= 0.0108 + 0.0208 + 0.0024

= 0.034

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The mean μ is approximately 14.495 and the standard deviation σ is approximately 10.252

Draw a normal distribution curve and mark the interval (3, 18) on the x-axis.

Shade the area under the curve above the interval (3, 18). This area corresponds to the middle 35% of the total area under the curve, according to the problem statement.

Since we know that the area under the curve between -∞ and 3 is the same as the area between 18 and +∞ (because the curve is symmetrical), we can use a standard normal distribution table or a calculator to find the z-scores that correspond to the endpoints of the shaded area.

Let z1 and z2 be the z-scores that correspond to the endpoints of the shaded area. We can use the standard normal distribution formula:

z = (x - μ) / σ

Where x is the value on the x-axis, μ is the mean, and σ is the standard deviation.

To find the mean μ and standard deviation σ, we need to solve the system of two equations:

(18 - μ) / σ = z1 (1)

(3 - μ) / σ = z2 (2)

Solving for μ in equation (1) and substituting it into equation (2), we get:

(3 - 18z1 + μ) / σ = z2

Simplifying and solving for σ, we get:

σ = (18z1 - 3 + μ) / (z1 - z2)

Substituting the value of σ from step 5 into equation (1) and solving for μ, we get:

μ = 18 - z1σ

Finally, substituting the values of z1 and z2 from step 3, we get:

z1 = 0.3853

z2 = -0.3853

Substituting these values into the formulas from steps 5 and 6, we get:

σ = (18(0.3853) - 3 + μ) / (0.3853 - (-0.3853)) = 10.252

μ = 18 - 0.3853σ = 14.495

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We can see here that expected value per ticket is: $4.34

The average sum of money that a purchaser of a raffle ticket may anticipate winning is known as the expected value of a ticket. It is computed by multiplying the likelihood of each award by its value in money, adding all the results, and then computing the result.

The total amount of money collected from selling tickets:

Total amount collected = Number of tickets sold × Price per ticket

Total amount collected = 150 × $20 = $3000

Expected value = (Probability of winning) × (Value of the prize).

$300 prize:

Probability of winning = 1 / Total number of tickets = 1 / 150

Expected value for $300 prize = (1 / 150) × $300 = $2

$150 prize:

Probability of winning = 1 / Total number of tickets = 1 / 150

Expected value for $150 prize = (1 / 150) × $150 = $1

Two $50 prizes:

Probability of winning = 2 / Total number of tickets = 2 / 150

Expected value for each $50 prize = (2 / 150) × $50 = $0.67.

Total expected value per ticket = Expected value for $300 prize + Expected value for $150 prize + 2 × Expected value for $50 prize

Total expected value per ticket = $2 + $1 + (2 × $0.67) = $2 + $1 + $1.34 = $4.34

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The complete question is:

One hundred fifty tickets for a raffle are sold for $20 per ticket. The four winning prizes are $300, $150, and two $50 prizes. Find the expected value per ticket.

The proportion of observations that are 45 or less is 130/130 = 1.000 (rounded to 3 decimal places).

a. The number of observations that are more than 35 but no more than 45 is 120.b. To find out the proportion of the observations that are 45 or less, we need to first determine the total number of observations,

which is given by the last cumulative frequency value, i.e., 130. So, out of 130 observations, how many are 45 or less?

We can subtract the cumulative frequency value of the interval 45 < x ≤ 55 from the total number of observations as shown below:

130 - 130 = 0

This means that there are no observations greater than 55. Therefore, the proportion of observations that are 45 or less is 130/130 = 1.000 (rounded to 3 decimal places).

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Triangle pairs are similar polygons if they have the same shape but not necessarily the same size. In order for two triangles to be similar, they must satisfy the following conditions:

They must have the same angles. This means that the measures of the angles in one triangle must be the same as the measures of the corresponding angles in the other triangle.

The lengths of the sides must be in the same ratio. This means that if you divide the lengths of the corresponding sides of one triangle by the lengths of the corresponding sides of the other triangle, you must get the same ratio for all pairs of sides.

For example, if triangle ABC is similar to triangle DEF, the ratios of AB/DE, AC/DF, and BC/EF must all be the same.

To determine if two triangles are similar, you can use one of several theorems and postulates, such as the Side-Side-Side (SSS) Similarity Theorem, the Side-Angle-Side (SAS) Similarity Theorem, or the Angle-Angle (AA) Similarity Postulate. These theorems and postulates provide different sets of conditions that must be satisfied in order for two triangles to be similar.

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need the coordinates to be able to answer

Answer:

True

Step-by-step explanation:

An input is always anything that equals a sum.

Input: Small-Medium-Large

Output: Prices

Answer:

yes

Step-by-step explanation:

price is compared by size

Answer:

n will get lower and lower

Step-by-step explanation:

In this equation the number of shirts is being multiplied by the price of each individual shirt and ultimately equals a total of $800. This means that the total must always be equal to $800 and cannot surpass it or be blow this value. Therefore, if the value of p gets larger and larger the less the number of shirts (n) that the students will be able to buy. This is the only way for the total cost to remain steady.

Answer: 60

Step-by-step explanation:

Area = ½base × height

600 = ½b × 20

600/20 = ½b

Base = 30 × 2

Answer:

2 + sqrt(3)

Step-by-step explanation:

Roots that contain square roots come in pairs

If there is a root that is a- sqrt(b), there is a root that is a+ sqrt(b)

2 -sqrt(3) means there is a root 2 + sqrt(3)

Given:

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

To find:

The probability of both events occurring, in that order.

Solution:

If A and B are two independent events, then

\(P(A\cap B)=P(A)\cdot P(B)\)

It is given that,

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., \(P(A\cap B)\), therefore \(P(A\cap B)=P(A)\cdot P(B)\).

Hence, the correct option is A.

Answer:

444

Step-by-step explanation:

3 [ ( 15 - 3 )^2 + 4 ]

= 3 [ ( 15 - 3 )^2 + 4 ]

= 3 [ ( 12 )^2 + 4 ]

= 3 [ 144 + 4 ]

= 3 [ 148 ]

= 444

Step-by-step explanation:

3(15-3)²+4

3(12)²+4

3×144+4

432+4

436 Answer

Answer:  b

Step-by-step explanation:

I think

We are given that quadrilateral EFGH is a rectangle. If EF=4x−6 and HG=x+3 , then the side EF= -34.

What is a quadrilateral?

A quadrilateral is a four-sided polygon, or a shape with four straight sides. It is a type of closed, two-dimensional shape. The four sides of a quadrilateral can be of equal or varying lengths and angles. Examples of quadrilaterals include squares, rectangles, rhombuses, parallelograms, and trapezoids.

Since quadrilateral EFGH is a rectangle, the opposite sides are congruent and parallel.

Therefore, if EF = 4x - 6 and HG = x + 3, then HG=EF

so, x+3=4x-6

then, x=-9

Therefore, EF=4x-6=4(-9)-6= -34

Hence, EF= -34

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Answer:

Read answer below :)

Step-by-step explanation:

So you know that the height is 12 cm, and the base is 27 cm at full. When they show you half, that's 13.5. So, having three sides in the entire base-length of 27 cms, you'll divide 27 by 3, in which case you get 9. Each the the base lengths are 9.

So the formula for volume is length * width * height. Knowing the width (13.5), the length (9), and height (12), multiply them. Your final answer is 1458 for all of it. For one side, divide by 6.

Hope this helps

To model the area burned as a function of time, we can use the formula for the area of a circle, which is A = πr^2. In this case, the radius of the circle is given by r(t) = 2t + 1, where t represents time in minutes.

To find the area burned at any given time, we substitute the expression for r(t) into the formula for the area:

A(t) = π(2t + 1)^2

Now, let's simplify this equation step by step:

1. Expand the square:
A(t) = π(4t^2 + 4t + 1)

2. Distribute π to each term inside the parentheses:
A(t) = 4πt^2 + 4πt + π

So, the function modeling the area burned as a function of time is A(t) = 4πt^2 + 4πt + π.


We are given the radius of the circle of burning forest as r(t) = 2t + 1, where t is the time in minutes. To find the area burned, we need to use the formula for the area of a circle, which is A = πr^2. By substituting the expression for r(t) into the formula, we get A(t) = π(2t + 1)^2. Simplifying further, we expand the square and distribute π to each term inside the parentheses, resulting in A(t) = 4πt^2 + 4πt + π.


The function A(t) = 4πt^2 + 4πt + π models the area burned as a function of time, where t represents the time in minutes.

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Answer:

One may think that he is the most powerful Sith Lord, and on some levels this is correct, but that title falls to another, even more powerful Sith Lord. That is Jar Jar Binks. He possesses the power to wipe out entire universes without blinking an eye. Jar Jar is an entity that was here before the universe was created. He made God. He even made Shaggy in his image so that he could have a set of eyes on Earth. He needed a right hand man to corrupt humanity at its source. Some might say that Jar Jar is the true form of evil, but I refute that claim with an argument of my own. Jar Jar Binks may have destroyed countless lives, but he did so in order to keep the balance of the universe, and for that, I thank him. All hail Jar Jar.

 Step-by-step explanation:

The domain of the expression \({\frac{1}{4} }^{\frac{2-x}{x} } > 64^{2}\) is

The solution of the equations is

The domain of a function is all possible input values of the function

for a fraction the denominator should not be zero. therefore

In the function given: (2 - x) / x in this case x ≠ 0

The domain is then all numbers excluding 0,  (-∞, 0) U (0, ∞)

The equation is solved as follows

\({\frac{1}{4} }^{\frac{2-x}{x} } > 64^{2}\)

solving to have a common base

\(4^{-1\frac{2-x}{x} } > (4^{2}) ^{3}\)

\(4^{-\frac{2-x}{x} } > 4^{6}\)

equating the bases

\({-\frac{2-x}{x} } > 6\)

-2 + x > 6x

-2 > 6x - x

-2 > 5x

-2/5 > x

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Answer:

volume of a cylinder = 536.9 cm³

Step-by-step explanation:

volume of a cylinder, V = πr²h

where π = 3.14

h = 19 cm

r = ?

given is diameter = 6 cm

as we know, r = d/2 = 6/2 = 3 cm

by substituting the values in the formula,

V = 3.14 * 3² * 19

= 536.94 cm³

by rounding off to the nearest tenth place,

volume of a cylinder = 536.9 cm³

Answer:

v = 537.2 cm3

Step-by-step explanation:

volume:

\(v=\pi r^{2} h\)

\(r=d/2=6/2=3cm\)

\(h=19cm\)

\(v=\pi (3)^{2} (19)=171\pi\)

\(v=537.21\)

Rounded nearest tenth:

\(v=537.2cm^{3}\)

Hope this helps

Answer:

Step-by-step explanation: I cant understand any words can you send more pictures

Answer:

Step-by-step explanation:

\(b^2=h^2-a^2\\ \\ b^2=17^2-8^2\\ \\ b^2=225\\ \\ b=15\\ \\ A=15(8)/2\\ \\ A=60cm^2\)

Step-by-step explanation:

perimeter:

74 + 74 + 48 = 196 yd

area:

48/2=24

√74^2+√24^2 = 77.79 (2dp)

77.79 x 48 = 3734.14

3734.14/2=1867.07yd^2

Withholding food and fluids before surgery is done to ensure that the patient's stomach is empty. This helps to minimize the risk of aspiration, which occurs when stomach contents enter the lungs. Aspiration can lead to respiratory complications such as pneumonia, which can be dangerous for the patient.

The appropriate response by the nurse is d) It prevents aspiration and respiratory complications. Withholding food and fluid before surgery is important to prevent aspiration, which occurs when stomach contents enter the lungs during surgery, and can cause respiratory complications. It also helps ensure a clear surgical field. However, the patient will still receive necessary fluids and medications through an IV during surgery to prevent dehydration and maintain blood pressure. It is important to follow the healthcare provider's instructions on pre-operative fasting to ensure the safest surgical experience.
d) It prevents aspiration and respiratory complications.
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4(2x²+23x+45)

4(2x²+18x+5x+45)

4[2x(x+9) +5(x+9)]

4(2x+5)(x+9)

All Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720 and 1440

choose 2 that add to 92

\(z=110\)\(A\)

is your final answer. Pls makr me brainiest

The value of y is 3 units.

This characteristic is referred to as resemblance or comparable figures when two or more items or figures appear to be the same or equal based on their shapes. These figures always superimpose one another regardless of how they are magnified or diminished. When two shapes, such triangles, polygons, or quadrilaterals, have the same dimension or common ratio but a different size or length, they are referred to as comparable figures in geometry.

Given quadrilateral's are similar

ABCD ≈ EFGH

for similarity the angles of both figures are equal and ratio of length of their sides are equal,

so AB/EF = BC/FG = CD/GH = DA/HE

we have AB = 3, EF = 2

CD = 4.5 and GH = y

substitute the values

3/2 = 4.5 /y

y = (4.5 x2)/3

y = 3 units.

Hence the measure of y is 3 units.

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The number of distinct words that can be formed from the letter in the word MULTIPLY is of:

20,160 distinct words.

The number of possible arrangements of n elements(order n elements) is given by the factorial of n, that is:

\(A_n = n!\)

For the world multiply, we have that it is composed by 8 letters, while the letter l appears two times, hence the number of distinct words that can be formed from the letter in the word MULTIPLY is obtained as follows:

8!/2! = 20,160 distinct words.

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The values of k for local maxima is k = 1 and k = -1

The given function is,

   f(x) = kx⁴ - 2k³x²

⇒ f'(x) = 4kx³ - 4k³x

⇒f''(x) = 12kx² - 4k³

To find a local maximum at x = 1, we need f'(1) = 0 and f''(1) < 0.

Therefore, set  f'(1) = 0,

⇒4k(1)³ - 4k³(1) = 0

⇒4k - 4k³ = 0

⇒4k(1 - k²) = 0

From this, we can see that either k = 0 or k = ±1.

However, we have to check the second derivative to determine if these are local maximums,

⇒f''(1) = 12k(1)² - 4k³

For k = 0, f''(1) = 0, which means there isn't a local maximum.

For k = 1, f''(1) = 8 < 0, which means there is a local maximum.

For k = -1, f''(1) = -8 < 0, which means there is also a local maximum.

Therefore,

The values of k that give a local maximum at x = 1 are k = 1 and k = -1.

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If the price of good x increases, the demand curve for good Y to shift to the right.

Complement goods are defined as the goods that a consumer likes to consume with a given good. Example of goods like it , peanut butter and jelly.

Substitute goods are those goods that a consumer could consume instead of a given good. For example, peanut butter and almond butter. The Market Equilibrium is used to define the intersection between the demand and supply curve. In other words, the market equilibrium occurs when price and quantity are same.o

When the price of a substitute , x increases, the demand for the second good increases. That is to say, there is a positive relationship between these two variables. In other words the price of good x increased , the demand for x will increase because it is more attractive for consumers. Therefore, the demand curve of y all shifts to the right.

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The probability of getting a jack, a three, a club, or a diamond is approximately 0.65.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It quantifies the uncertainty associated with an outcome or event.

To determine the probability of getting a jack, a three, a club, or a diamond when one card is drawn from a standard 52-card playing deck, we need to calculate the probability of each event and sum them up.

Number of Jacks: There are 4 jacks in a deck (one jack for each suit).

Number of Threes: There are 4 threes in a deck (one three for each suit).

Number of Clubs: There are 13 clubs in a deck (one club for each rank).

Number of Diamonds: There are 13 diamonds in a deck (one diamond for each rank).

Total favorable outcomes = Number of Jacks + Number of Threes + Number of Clubs + Number of Diamonds

= 4 + 4 + 13 + 13

= 34

Total possible outcomes = Total number of cards in a deck = 52

Probability = Favorable outcomes / Total outcomes

= 34 / 52

≈ 0.6538

Rounding to the nearest hundredth, the probability of getting a jack, a three, a club, or a diamond is approximately 0.65.

Therefore, the correct answer is d. 0.65.

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40% of Damien’s marbles are 6/5 or 1.2.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Damien has three marbles.

40% of Damien’s marbles are blue.

That means,

40% of 3 blue marbles.

So, using the percentage formula,

40% of 3,

= 40 x 3/100

= 120/100

= 12/10

= 6/5

= 1.2

Therefore, 1.2 marbles are blue.

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