-12.40 in simplest from

Answer:

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

Use slope equation:

Substitute coordinates and solve for n:

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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Answer:

3/5=18/30

Step-by-step explanation:

3/5*6/6=18/30

Given:

Yamir is twice as old as Pato.

In three years, the sum of their ages will be 30.

Pato's current age is represented by \(a\).

To find:

The equation that could be used to correctly solve for \(a\).

Solution:

We know that, Pato's current age is represented by a, then

Yamir's age = \(2a\)

After three years,

Pato's age = \(a+3\)

Yamir's age = \(2a+3\)

In three years, the sum of their ages will be 30.

\((a+3)+(2a+3)=30\)

\((a+2a)+(3+3)=30\)

\(a+2a+6=30\)

Therefore, the correct option is 2.

The inequality that can be used to find the range of acceptable weights, x of the spaghetti is (x + 0.25) ≤ 32

Given:

Weight of each box of be spaghetti = approximately 32 ounces

x = Range of weight of each box

Difference in weight = not more than 0.25

The inequality:

(Range of weight of each box - Difference in weight) ≥ Weight of each box of be spaghetti

(x + 0.25) ≤ 32

Therefore, the range of weight added to the difference in weight should be equal to or less than 32 for the weight to be acceptable.

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427.

The proof for the question is as follows:

A(n) is the arithmetic mean of the (positive) factors of n.

We want to find the n for which A(n) = 124.

Let F be the set of (positive) factors of n, and let f1, f2,..., fm be the elements of F.

The arithmetic mean of F is defined as A(n) = (f1 + f2 + ... + fm)/m.

Now, we have A(n) = 124. So, 124 = (f1 + f2 + ... + fm)/m.

Therefore, 124m = f1 + f2 + ... + fm.

This implies that f1 + f2 + ... + fm = 124m = 427.

Thus, n = 427.

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The worth of the game remains at 3.5 dollars. The second roll is the only one that matters, the expected value is now equal to the average value of a single roll,

a) In the first scenario, where you roll a die and are given an amount in dollars equal to the number on the die, the expected value of the game can be calculated by taking the average of all possible outcomes.

Since the die has six sides and each side is equally likely to come up, the expected value is calculated as (1/6 * 1) + (1/6 * 2) + (1/6 * 3) + (1/6 * 4) + (1/6 * 5) + (1/6 * 6) = 3.5 dollars.

Therefore, if you played this game a lot of times, you would expect to pay an average of 3.5 dollars per game.

b) In the second scenario, where you have the option to roll a second time and are obligated to take the number of dollars from the second roll, the expected value changes. Let's analyze the possible outcomes:

- If you decide to take the money from the first roll, the expected value is the same as in the previous scenario, which is 3.5 dollars.
- If you decide to roll a second time, the expected value is again calculated by taking the average of all possible outcomes.

However, since the second roll is the only one that matters, the expected value is now equal to the average value of a single roll, which is (1/6 * 1) + (1/6 * 2) + (1/6 * 3) + (1/6 * 4) + (1/6 * 5) + (1/6 * 6) = 3.5 dollars.


The worth of the game in the second scenario is the maximum value between the expected value of taking the money from the first roll (3.5 dollars) and the expected value of rolling a second time (3.5 dollars).

Therefore, the worth of the game remains at 3.5 dollars.

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The worth of the game depends on the scenario. In the first scenario, where you only roll once, the worth is around 3.5 dollars. In the second scenario, where you have the option to roll a second time, the worth is less than 2 dollars.

a) If you roll a die and are given an amount in dollars equal to the number on the die, the expected value of this game can be calculated by taking the average of the possible outcomes. Since there are six possible outcomes (numbers 1 to 6), the expected value is the sum of these outcomes divided by 6.

The expected value is (1+2+3+4+5+6) / 6 = 3.5 dollars.

To find what you would pay to play this game, you would ideally want to pay an amount less than the expected value to make it a profitable game. However, if you played this game a lot of times, the law of large numbers suggests that your average outcome will approach the expected value. Therefore, it would be reasonable to pay around 3.5 dollars to play this game.

b) In the second scenario, if you roll the die and have the option to either take the money from the first roll or roll a second time and take the second roll's amount, the expected value changes. Now, you have a 1/6 chance of getting each number from the first roll and a 1/6 chance of getting each number from the second roll.

To calculate the expected value, you need to consider both possibilities. You would calculate the average of the outcomes from the first roll and the outcomes from the second roll, and then take the maximum of these two values.

For example, if you roll a 1 on the first roll, the expected value from the first roll would be 1. If you roll a 2 on the second roll, the expected value from the second roll would be 2. The maximum of these two values is 2. Therefore, the expected value for this game is 2 dollars.

When deciding what this game is worth, you would want to pay an amount less than the expected value to make it profitable. So, in this scenario, you would ideally want to pay less than 2 dollars to play this game.

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Answer: $25.41

Convert the percentage into a decimal, and then multiply that decimal by the total price to find the tip. Subtract the tip amount from the total price to find the price before the tip.

15 ÷ 100 = 0.15

15% of 29.90 = 0.15 · 29.90 = 4.48500 ≅ $4.49

$29.90 - $4.49 = $25.41

∴ the price before tip, b, of Mr. Johnson's lunch is $25.41.

Hello There!!

Your best answer choice will be is A.

(2x + 7) feet.

Because, All you have to do for this problem is factor the equation. I would be hard to explain on this so I recomment you watch a video on it. If you did not know how to factor, you could have muliplied each of the answers by themselves to determine the correct answer because it is a square.

Hope This Helps!!

Answer:

(2x+7)

Step-by-step explanation:

4x^2 + 28x + 49

This is a perfect square trimonial

a^2 + 2ab + b^2 =  (a+b)^2

(2x)^2 + 2 * 2x*7 + 7^2

( 2x+7)^2

The characteristic of "Mailing Address" would be considered a qualitative variable.

A qualitative variable is a type of variable that is used to assign information that can't be measured by numbers. Qualitative data is used to label the attributes of the individuals, objects, or other items in the study.Types of Qualitative DataThere are many types of qualitative data, for instance:Nominal Data is data that can't be ranked and the measurements have no specific order or sequence.Ordinal Data is data that can be ranked and that has a definite order or sequence.Below are the options given and among them which is qualitative.Size in Square FeetMailing AddressNumber of BathroomsEstimated Market ValueAmong the given options, Mailing Address is considered a qualitative variable. Therefore, the answer is "Mailing Address".

Quantitative data are generally numerical and can be counted or measured, while qualitative data are descriptive and non-numerical. Qualitative data provide a descriptive view of the information that can be used to form ideas or summarize patterns. Qualitative data are frequently used in qualitative studies, but they can also be used in quantitative studies. However, the characteristics of a house that are qualitative variables can be any type of descriptive data that cannot be measured with a numerical value.Mailing Address is a qualitative variable. Because it is a type of data that cannot be counted or measured, it is a qualitative data type. Qualitative data are often used to describe something or to provide more information than can be given by numbers alone. Therefore, the characteristic of "Mailing Address" would be considered a qualitative variable.

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A confidence interval is constructed to estimate the value of a parameter.

In statistics, a parameter refers to a numerical characteristic of a population, such as the population mean or population proportion. When we want to estimate the value of a parameter, we construct a confidence interval.

A confidence interval provides a range of values within which we believe the true parameter value is likely to fall, based on our sample data. It is constructed using sample statistics and takes into account the variability and uncertainty in the estimation process.

A confidence interval is constructed to estimate the value of a parameter, not a statistic.

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Answer:

f'(0)= -2/5

Step-by-step explanation:

The series ∑ₖ₌₁ᵢₙfₖ does not converge as the limit of the ratio of its terms is infinite (∞).

What is converge series?

In mathematics, a convergent series is one in which, as the number of terms rises, the sum of the terms approaches a finite value. In other words, a convergent series "converges" to a particular value or limit when its terms are added together.

To determine whether the series converges or diverges, we can use the limit comparison test. The limit comparison test states that if the limit of the ratio of the terms of the given series and a known convergent series is a positive finite value, then both series have the same convergence behavior.

Let's consider the known convergent p-series ∑ₖ₌₁ᵢₙ₁/k²,q where p = 2. Now, we can apply the limit comparison test by calculating the limit of the ratio of the terms of the given series and the known convergent series:

limₖ→∞ [(k³ - 6)/(k⁴ + 7)] / (1/k²)

Simplifying the expression inside the limit:

limₖ→∞ [(k³ - 6)/(k⁴ + 7)] * (k²/1)

Taking the limit as k approaches infinity:

limₖ→∞ [(k³ - 6)/(k⁴ + 7)] * (k²/1) = limₖ→∞ [(k³ - 6)(k²)] / (k⁴ + 7)

By evaluating the limit, we find:

limₖ→∞ [(k³ - 6)(k²)] / (k⁴ + 7) = ∞

Since the limit is divergent (∞), the given series does not converge.

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Answer:

  (a)  $810.45

Step-by-step explanation:

You want the value of an investment of $300 earning 5% interest compounded quarterly for 20 years.

The compound interest formula tells you the value is ...

  A = P(1 +r/n)^(nt)

where P = 300, r = 0.05, n = 4, t = 20.

Using the given parameters in the given equation, you find the account value to be ...

  A = $300(1 +0.05/4)^(4·20) ≈ $810.45

__

Additional comment

The "rule of 72" tells you the account value will approximately double in a number of years equal to 72 divided by the interest rate percentage: 72/5 = 14.4 years. After 20 years, it will be worth more than that doubled amount, $600. This only leaves one reasonable answer choice.

<95141404393>

The vector U₃ is (1/6, 1/6, 4/3). To find the vector U₃, we need to apply the Gram-Schmidt process to the given basis vectors.

Let's start with the vector U₁ and U₂

U₁ = (1/3, 1/3, 1/3)

U₂ = (1/6, 1/6, -1/3)

The orthogonal vector U₃ is obtained by subtracting the projection of U₁ onto U₂ from U₁:

U₃ = U₁ - proj(U₁, U₂)

To calculate the projection of U₁ onto U₂, we use the formula:

proj(U₁, U₂) = (U₁ · U₂) / ||U₂||² * U₂

where "·" denotes the dot product and "|| ||" denotes the norm (magnitude) of a vector.

Let's calculate the projection:

U₁ · U₂ = (1/3)(1/6) + (1/3)(1/6) + (1/3)(-1/3) = 1/6 + 1/6 - 1/9 = 1/3

||U₂||² = (1/6)² + (1/6)² + (-1/3)² = 1/36 + 1/36 + 1/9 = 1/9

Now we can calculate the projection:

proj(U₁, U₂) = (1/3) / (1/9) * (1/6, 1/6, -1/3) = 3/1 * (1/6, 1/6, -1/3) = (1/2, 1/2, -1)

Finally, we can calculate U₃:

U₃ = U₁ - proj(U₁, U₂) = (1/3, 1/3, 1/3) - (1/2, 1/2, -1) = (1/6, 1/6, 4/3)

Therefore, the vector U₃ is (1/6, 1/6, 4/3).

(b) To find the square of the distance between U₁ and U₂ (x²) and the cosine of the angle between U₁ and U₃ (cos(θ) = Y), we can use the following formulas:

x² = ||U₁ - U₂||²

cos(θ) = (U₁ · U₃) / (||U₁|| ||U₃||)

Let's calculate them:

||U₁ - U₂||² = ||(1/3, 1/3, 1/3) - (1/6, 1/6, -1/3)||² = ||(1/6, 1/6, 2/3)||² = (1/6)² + (1/6)² + (2/3)² = 1/36 + 1/36 + 4/9 = 9/36 = 1/4

(U₁ · U₃) = (1/3)(1/6) + (1/3)(1/6) + (1/3)(4/3) = 1/18 + 1/18 + 4/9 = 1/6 + 4/9 = 9/54 + 24/54 = 33/54

||U₁|| = ||(1/3, 1/3, 1/3)|| = √((1/3)² + (1/3)² + (1/3)²) = √(1/9 + 1/9 + 1/9) = √(3/9) = √(1/3) = 1/√3

||U₃|| = ||(1/6, 1/6, 4/3)|| = √((1/6)² + (1/6)² + (4/3)²) = √(1/36 + 1/36 + 16/9) = √(18/36) = √(1/2) = 1/√2

Now we can calculate cos(θ):

cos(θ) = (U₁ · U₃) / (||U₁|| ||U₃||) = (33/54) / ((1/√3) * (1/√2)) = (33/54) * (√3/√2) = (11/18) * (√3/√2) = (11√3) / (18√2)

Therefore, the square of the distance between U₁ and U₂ (x²) is 1/4, and cos(θ) (Y) is (11√3) / (18√2).

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Answer:

C

Step-by-step explanation:

because it's the safe bet sorry I'm really dumb

Answer:

40+2s=60-3s

Step-by-step explanation:

The red balloon starts 40 feet off the ground and rises 2 feet per second. This means the height of the red ballon is 40+2s.

The blue balloon starts 60 feet off the ground at starts falling 3 feet per second. This means the height of the blue balloon is 60-3s.

Because we want to find out when the balloons will be the same height, we set them equal to each other.

40+2s=60-3s

Answer:

You can't add those two matrices as they do not have the same dimensions

Step-by-step explanation:

This also relates to subtraction as well (you need to have same dimensions)

Answer:

Wait- Which Matrix? The Sequel, or the 3rd?

Step-by-step explanation:

q-p

The value of t for a one-tailed test (lower tail) with 22 degrees of freedom at 95% confidence is -1.717. Which is an option (C).

For the purpose of determining whether the mean value of a population is equal to a specific value or not, the t-distribution is used. One of the most critical features of the t-distribution is that it is used when the sample size is less than 30 or when the population's standard deviation is unknown.

T-distributions are a collection of theoretical probability distributions that arise from the normal distribution and are used in hypotheses testing. The critical values of t for a one-tailed test (lower tail) with 22 degrees of freedom at 95% confidence are given by the t-distribution table.

Given that the sample size is 22, the degrees of freedom would be 22 - 1 = 21.

Therefore, At 95% confidence, t for a one-tailed test (lower tail) with 22 degrees of freedom is -1.717. Therefore, the correct option is (C).

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Answer:

Step-by-step explanation:

basically all you do is

(4x + 5)(3x + 10) or 12x² + 55x +50

Forming the Expression for the Area of Rectangle

The formula for the area of a rectangle is given as,

Area, A = length × breadth

Here, the dimensions of the rectangle are given as,

length = (4x + 5)

breadth = (3x + 10)

∴ The equation for the area of the rectangle is,

A = (4x + 5)(3x + 10)

A = 12x² + 55x +50

Hence, 12x² + 55x +50 is the required expression.

Degree and Classification of the Expression

The highest power of a variable that is present in an expression is known as its degree.

Since the degree of the expression formed in part a is 2, it is classified to be a quadratic expression.

Closure Property For Polynomials

When the output is the same kind of object as the inputs, an expression is said to be closed. The expression obtained for the area of the rectangle is a combination of constants and variables closed under multiplication and addition.

Hence the expression formed in part a indicates at the closure property for polynomials.

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the formula for the equation of the line is ,

y-y1 = m (x-x1 )

2)

for point .( -5,-6), and slope m = 2

put x1 = -5 and y1 = -6

the equation of the line is,

y - (-6) = 2 (x -(-5) )

y +6 = 2(x + 5)

thus, the answer is point slope equation is y + 6 = 2(x + 5)

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3)

for point .( -7,2), and slope m = 3

put x1 = -7 and y1 = 2 and m = 3

the equation of the line is,

y - 2 = 3 (x -(-7) )

y - 2 = 3(x + 7)

thus, the answer is point slope equation is y - 2 = 3(x + 7)

Answer:

The inverse is 1/2x -1/2

Step-by-step explanation:

f(x) = 2x+1

y = 2x+1

Exchange x and y

x = 2y+1

Solve for y

Subtract 1

x-1 = 2y+1-1

x-1 =2y

Divide by 2

x/2 -1/2 = 2y/2

1/2x -1/2 = y

The inverse is 1/2x -1/2

Answer:A

Step-by-step explanation:

The probability when the value of W = 1 is 0.1 , probability when the value of W = 10 is 0.2 and probability when the value of W = 25 is 0.7  .

In the question ,

the marked price slips are $1, $1, $1, $10 and $25 .

If the winner selects two slips of paper, then the possible outcomes would be ,

total number of slips is = 5 ,

Total number of cases possible = ⁵C₂ = 10

There would be only 1 case in which the winner will win $1

that means when both the slips selected has $1.

So, P(Winning $1) = 1/10 = 0.1

the number of cases to win $10 is {(1,10) , (10,1)}

So , P(Winning $10) is

= 2/10 = 0.2

So , P(Winning $25) is

= 1 - (0.1 \(+\) 0.2)

= 0.7

Therefore , the required probability P(Winning $1) = 0.1 , P(Winning $10) = 0.2 and P(Winning $25) = 0.7

The given question is incomplete , the complete question is

A box contains five slips of paper, marked $1, $1, $10, $25, and $25. The winner of a contest selects two slips of paper at random and then gets the larger of the dollar amounts on the two slips. Define a random variable w by w = amount awarded. Determine the probability distribution of w. (Hint: Think of the slips as numbered 1, 2, 3, 4, and 5, so that an outcome of the experiment consists of two of these numbers.)

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Answer:

so it provides a way that organizes information of a problem in methodical way

hope this helps give brainllest please!

Step-by-step explanation:

Answer:

He earn approximately $2.14 everyday

Step-by-step explanation:

hope this helps :3

Answer:

What reasons might venita give for saying that the 1916 coin is most likely in her bag? Sherelle claims that she has 26 which is closer to 16 hence her chances are more.

Step-by-step explanation: