Which pair is at the same level of structural organization?

The function for the amount after {t} years can be written as -

\($710(1 + 0.45/12nt)^{nt}\)

Compound interest is the addition of interest to the principal sum of a loan or deposit. Mathematically -

\($A = P(1 + \frac{r}{n})^{nt}\)

where -

[A] = final amount

[P] = initial principal balance

[r] = interest rate

[n] = number of times interest applied per time period

[t] = number of time periods elapse

Given is that $710 is invested in an account earning 3.7% interest (APR), compounded monthly.

We can write -

A = 710(1 + 0.37/12)¹²⁽¹⁾

A = 710(1 + 0.037/12)¹²

A = 710(1 + 0.031)¹²

A = 710(1.031)¹²

A = 710 x 1.45

A = 1029.5

Let the annual growth rate be R. Then, we can write the function for annual growth rate after {t} years as -

1029.5 = \($ 710(1 + R/1)^{t}\)

1029.5 = \($710(1+R)^{t}\)

1.45 = \($(1 + R)^{t}\)

1.45 = 1 + tR + .....                        {Binomial expansion}

Neglecting the binomial series from the third term as the value of the terms become negligible -

1.45 = 1 + tR

R = 0.45/t

Function for the amount after t years can be written as -

\($710(1 + 0.45/12nt)^{nt}\)= A

Therefore, the function for the amount after {t} years can be written as -

\($710(1 + 0.45/12nt)^{nt}\)

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Answer:

Step-by-step explanation:

I can't give you either B or D, but I can calculate the answer.

2^5

=====

(2^5)(3^5)  

The 2^5s cancel out.

1

===

3^5

Another answer could be 3^-5

or

0.004115

Answer: 2289.06

Step-by-step explanation:

math expert

Answer:

r = 169.56 in. / 2π ≈ 27 in.

Now we can use the radius to find the area:

Area = πr^2 ≈ π(27 in.)^2 ≈ 2289.06 in^2

So the area of the circular table is approximately 2289.06 square inches, rounded to the nearest hundredth. The answer is option C.

Step-by-step explanation:

sorry but i need points Thank you

Answer:

danggg thats a WAPPPP

Step-by-step explanation:

A. 2x+30=90

Step-by-step explanation:

To find x they must add to 90 degrees

Answer:

no because if one of the side is 2, if we calculate semi perimeter it will be 7.5 which is greater

Given

Find

Express as a single term

Explanation

now,

Final Answer

Therefore, the single expression is

Answer:

the answer is B

Step-by-step explanation:

just trust me

Answer:

A and B

Step-by-step explanation:

Hope its help you

The probability that, in any hour, less than 2 customers will arrive is 0.0087 ( round to four decimal places).

The Poisson distribution is a discrete probability distribution that helps to calculate the probability of an event occurring within a given time interval. The average (mean) rate of occurrence within a given time interval ( in hour, day etc) is well known, but exact timing is unknown. The occured events are independent from each other.

We have , at the fidelity credit union

Mean , m = 6.8

let X be random variable for the customers arrive hourly at the drive-through window.

We have to calculate the probability that, in any hour, less than 2 customers will arrive, P(X< 2) .

Using Poisson probability distribution formula

P(X= x ) = e⁻ᵐ ( ᵐ )ˣ/ x!

Where:

here, x <2 , m = 6.8

P(X< 2) = P(X = 0 ) + P(X = 1 )

Now, P(X< 2) = e⁻⁶·⁸(6.8)⁰/ 0! + e⁻⁶·⁸(6.8)/ 1!

= e⁻⁶·⁸ + e⁻⁶·⁸(6.8) = e⁻⁶·⁸( 7.8)

= 0.00868744615

Hence, required probability is 0.0086.

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If Nicholas purchases 0.75 pounds of Jolly Ranchers at the candy store, he would spend $2.61. This was calculated by multiplying the cost per pound ($3.48) by the number of pounds purchased (0.75).

If Jolly Ranchers cost $3.48 per pound at the candy store and Nicholas purchases 0.75 pounds of Jolly Ranchers, we can find the total cost of money spend by multiplying the cost per pound by the number of pounds purchased:

Total cost = $3.48/pound x 0.75 pounds

Total cost = $2.61

Therefore, Nicholas would spend $2.61 if he purchases 0.75 pounds of Jolly Ranchers at the candy store.

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Answer:

Consistent

Step-by-step explanation:

Answer:

1586 cm³

Step-by-step explanation:

bottom big one v= wlh = 22* 13 * 5 =1430

top little one v= wlh= 6*2*13 =156

total = 1586

The first step to conducting a statistical study is to clearly define the research question or problem.

This involves identifying the population of interest, the variables to be measured, and the hypothesis or objective of the study. Once the research question is clearly defined, the next step is to design the study, including selecting an appropriate sample size, choosing a sampling method, and determining the data collection method.

It is also important to consider potential sources of bias and confounding factors that may impact the study results. Overall, a well-designed statistical study should be able to produce reliable and accurate results that can be used to draw meaningful conclusions about the population of interest.

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Answer:

40/3

\(15 \times x = 200 \\ 15x = 200 \\ x = 200 \div 15 \\ x = \frac{40}{3} \)

The painter should work at least 13.33 hours to earn $200.

An inequality is a mathematical statement showing the non-equal comparison between two expressions.

Given that, a painter earns $15 per hour. We need to find the minimum number of hours he must work to earn at least $200,

So, let the minimum number of hours be x,

15x ≥ 200

This will be the inequality,

To find the minimum number of hours we will find the value of x,

15x ≥ 200

Divide by 15

x ≥ 200/15

x ≥ 13.33

Hence, the painter should work at least 13.33 hours to earn $200.

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Answer:

Taylor can buy 7 journals without going over the cards limit.

Step-by-step explanation:

The first step is to subtract what she has already spent from the gift card:

30 - 9 = 21

So now that we have the amount of money that Taylor has available to spend,  we need to divide by the cost of a journal to see how many she can buy:

21 / 3 = 7

Our final answer would be 7 journals.

Answer:

X _< 7

(This _ is suppose to be under the < ) ^^

the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

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Answer:63.75 :)

Step-by-step explanation:

Answer:

$63.75

Step-by-step explanation:

85 x 75/100

85/1 x 3/4

255/4 - > $63.75

- You should already know how to do this yourself as this is very easy and basic question.

Answer:

The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.

Answer:

C

Step-by-step explanation:

two digits at the last of a number divisible by 4

Answer:

(d). 56°

Step-by-step explanation:

cos x° = \(\frac{5}{9}\)

x° = \(cos^{-1}\) \(\frac{5}{9}\)

x° ≈ 56.25° ≈ 56°

Answer:

\( - {( {x}^{2} - 6x)}^{ \frac{ - 1}{2} } - ( {x}^{2} - 6x) {}^{ \frac{ - 3}{2} } (x - 3)(5 - x) \\ \\ = {( {x}^{2} - 6x) }^{ \frac{ - 3}{2} } \{ {1 - ( {x}^{2} - 6x)}^{ \frac{1}{3} } (x - 3)(5 - x) \} \\ \\ \)

A vertical asymptote exists of the form x = k where y→∞ or y→ -∞.

A slant asymptote exists of the form y = mx + b where m ≠ 0.

Vertical lines go up and down and are in the form of x = a, where a stands for the common x-coordinate of all locations, whereas horizontal lines go left to right and take the shape of y = b, where b stands for the y-intercept.

A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. Because it appears at an x-value outside of the function's domain, the graph can never cross it. There may be multiple vertical asymptotes for a given function. All common factors are cancelled in the denominator, D(x).

A horizontal asymptote exists of the form y = k where x→∞ or x→ -∞ if the value of the one/both of the limits lim ₓ→∞ f(x) and lim ₓ→ -∞ f(x).

A vertical asymptote exists of the form x = k where y→∞ or y→ -∞.

A slant asymptote exists of the form y = mx + b where m ≠ 0.

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Both tables represent valid sample spaces for the given random walk scenario.

The tables A and B provided represent different sample spaces for the random walk with three steps, where the direction can be randomly chosen as either left or right at each step.

Table A:

- First row: The outcomes for each step are Left, Left, Left.

- Second row: The outcomes for each step are Left, Left, Right.

- Third row: The outcomes for each step are Left, Right, Left.

- Fourth row: The outcomes for each step are Left, Right, Right.

- Fifth row: The outcomes for each step are Right, Left, Left.

- Sixth row: The outcomes for each step are Right, Left, Right.

- Seventh row: The outcomes for each step are Right, Right, Left.

- Eighth row: The outcomes for each step are Right, Right, Right.

Table B:

- First row: The outcomes for each step are Right, Left, Right.

- Second row: The outcomes for each step are Right, Right, Left.

- Third row: The outcomes for each step are Right, Right, Right.

- Fourth row: The outcomes for each step are Right, Left, Left.

- Fifth row: The outcomes for each step are Right, Right, Left.

- Sixth row: The outcomes for each step are Left, Left, Left.

- Seventh row: The outcomes for each step are Left, Left, Left.

- Eighth row: The outcomes for each step are Left, Left, Left.

Both tables provide all possible outcomes for the random walk with three steps and randomly choosing left or right at each step.

However, Table A and Table B have different sequences of outcomes for each row. Therefore, both tables represent valid sample spaces for the given random walk scenario.

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The probable question may be:

"You've decided to take 3 steps and randomly choose left or right as the direction each time. Which of these tables lists all possible outcomes of your random walk? (Each row represents one outcome.) Choose all answers that apply:

Sample spaces for compound

TABLE A:-

First= Left,Left,Left,Left,Right,Right,Right,Right.

Second= Left,Left,Right,Right,Left,Left,Right,Right.

Third= Left,Right,Left,Right,Left,Right,Left.

TABLE B:-

First= Right,Left,Right,Left,Right,Left,Right,Left.

Second= Right,Right,Left,Left,Right,Right,Left,Left.

Third= Right,Right,Right,Right,Left,Left,Left,Left.

Thee factory is able to provide 94.38 boxes per hour to the warehouse.

Rate = (2000 - 1245) / 8 = 94.38 boxes per hour

Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.

Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2

Therefore, the inventory at the end of a 40-hour work week would be:

1245 + 3775.2 = 5020.2 boxes

rate = (50000 - 1245) / time

Simplifying this equation, we get:

time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).

Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,

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Answer: The mean, which is needed to be rounded to the nearest tenth, would be 10.6.

Step-by-step explanation:

Since this question is asking for the mean weight for eight cats, I will simply tell you what is the mean.

A mean of a data set is when you add the total of all of the numbers in the data plot and divide that number by how many numbers you added up. It is painfully a lot of math to do, so that's why it's really MEAN!

In this case, you will need to add "6, 13, 6, 14, 8, 13, 11, & 14" up together to find the total number which is 85.

Now, since there is eight numbers in this data plot, you divide 85 by 8 and you would get 10.625. To the nearest tenth, it would round to 10.6.

Therefore, the pet store's eight cats have an average weight of 10.6 pounds per cat. Hope this helps! :)

-From A Fifth Grade Honors Student

Answer:

n = 9

Step-by-step explanation:

5(n-3) = 30

Expand the brackets. (Multiply n by 5 then multiply -3 by 5.)

5n-15 = 30

Isolate 5n.

5n = 30+15

Evaluate.

5n = 45

Find n.

n = 45 ÷ 5

n = 9

Answer:

n = 9

Step-by-step explanation:

1) divide both sides by 5 to cancel it out

       (n-3=6)

2) add 3 to each side to cancel out the -3

       (n=9)

You could factor the 5 to get 5n-15=30 but dividing by 5 just makes the number easier