Select all the like terms:
A. 5x
B. 7
C. 2x^2
D. 6xy
E. -8

The amount compounded at a rate of 8% over a period of 6 years is  $8,551.56

The compound interest is the interest-based on the initial principal amount and the interest collected over the period of time. The formula for compound interest can be derived from the formula for simple interest. The formula for simple interest is the product of the principal, time period, and rate of interest (SI = ptr/100). Before looking into to derivation of the formula for compound interest, let us understand the basic difference between simple interest, compound interest computation. The principal remains constant over a period of time, for simple internet computation, but for compound interest computation the interest is added to the principal, for compound interest computation.  The compound interest formula is given below:

A = P(1 + r/n)^nt

Applying the formula of compound interest here;

A = 5300(1 + 0.08/12)^12 * 6

A =  $8,551.56

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Answer:

80x+65 2.465 3.865

Step-by-step explanation:

x being the number of years so in ten years he will have 80x10=800+65=865

80x5=400+65=465 so 5 is the number of years it would take

and i do not understand number 1 but i put a formula just in case that was it

Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

If Loan U is compounded daily and Loan V is compounded quarterly, then Loan U's effective rate will be 0.0713 percentage points lower than Loan V's.

The correct answer is an option (d)

We know thatthe formula for the the effective (annual) interest rate, EAR,  is given by the formula:

EAR = \((1+\frac{I}{n} )^n - 1\)

where I = nominal interest rate

and n = number compounding periods

Using this formula for Loan U, we have;

\(EAR_U=(1+\frac{0.0997}{365} )^{365} - 1\\\\EAR_U=10.48\%\)

And for loan V:

\(EAR_V=(1+\frac{0.1016}{4} )^{4} - 1\\\\EAR_V=10.55\%\)

This means that, the loan that has the lower effective interest rate is Loan U

And the difference in the interest rate is 10.553692 - 10.482438 = 0.07125

Therefore,  Loan U's effective rate will be 0.0713 percentage points lower than Loan V's.

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The complete question is:

Dave is considering two loans. Loan U has a nominal interest rate of 9.97%, and Loan V has a nominal interest rate of 10.16%. If Loan U is compounded daily and Loan V is compounded quarterly, which loan will have the lower effective interest rate, and how much lower will it be?

a) loan V's effective rate will be 0.3324 percentage points lower than loan U's.

b) loan V's effective rate will be 0.1187 percentage points lower than loan U's

c) loan U's effective rate will be 0.5124 percentage points lower than loan V's

d) Loan U’s effective rate will be 0.0713 percentage points lower than Loan V’s.

Answer:

The expression "20a/4" can be simplified by dividing 20a by 4.

To do this, we can first simplify 20/4, which is equal to 5. Then we can multiply 5 by a to get the final answer:

20a/4 = (20/4) * a = 5 * a = 5a

Therefore, the expression "20a/4" simplifies to "5a".

Step-by-step explanation:

20a/4 is a mathematical expression that involves division. To find the value of this expression, we need to divide the value of 20a by 4.

We can simplify the expression by dividing the numerator (20a) by the denominator (4). When we divide 20a by 4, we get:

20a/4 = 5a

Therefore, 20a/4 is equivalent to 5a.

To summarize, the expression 20a/4 means dividing 20 times the value of variable "a" by 4. The result of this expression is equivalent to 5 times the value of variable "a".

Answer:

the common denominator is cz

Step-by-step explanation:

The statement is False.

While the Renaissance was indeed a period of great cultural and intellectual advancements, it would be inaccurate to categorize it solely as a flowering of mathematics and science.

The Renaissance, which spanned roughly from the 14th to the 17th century, witnessed significant developments in various fields including art, literature, philosophy, politics, and religion, in addition to advancements in mathematics and science.

The Renaissance was characterized by a revival of interest in classical knowledge and a shift towards humanism, emphasizing the value of human potential, creativity, and individuality. This led to remarkable achievements in art, with the emergence of renowned artists such as Leonardo da Vinci and Michelangelo, who revolutionized painting and sculpture during this era.

Literature also flourished, with influential works produced by authors like William Shakespeare and Miguel de Cervantes.

While mathematics and science did experience notable advancements during the Renaissance, including contributions from figures like Nicolaus Copernicus, Galileo Galilei, and Johannes Kepler, these developments were not the sole focus of the period.

Instead, the Renaissance represented a broader cultural and intellectual awakening characterized by a renewed interest in the humanities, the exploration of new ideas, and a questioning of traditional beliefs.

The Renaissance was a multidimensional movement that encompassed advancements in various disciplines and fields of knowledge, not limited to mathematics and science alone. It was a period marked by innovation and creativity across a wide range of intellectual pursuits, making it inaccurate to reduce it to merely a flowering of mathematics and science.

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The variables that must be contained in Z for the model to be dynamically complete are as follows:Zt-2Zt-1Ztyt-2 Thus, the correct answer is (a), (b), (c), and (g). Hence, this is the required solution.

The following variables must be included in Z for the model to be dynamically complete: Zt-2, Zt-1, Zt, yt-2. Thus, the correct answer is (a), (b), (c), and (g).Explanation:According to the given information and model, for the model to be dynamically complete, it needs to include some variables in Z. To be precise, for a model to be considered as dynamically complete, all the past values should be included in Z. The given model is:y

= Bo + Bızı + Bazi-1 + $3Zt-2 + $4Z1-3 + up .Expected value of y, conditional on all current and past values of z and y, is equal to Ely,IZ.The variables that must be contained in Z for the model to be dynamically complete are as follows:Zt-2Zt-1Ztyt-2 Thus, the correct answer is (a), (b), (c), and (g). Hence, this is the required solution.

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the correct answer is option I as ∠ZADB and ∠ADF are supplementary angles.

Based on the given information, m∠ZADB = m∠BDC and CD is parallel to AE. A valid conclusion would be:
I. ∠ZADB and ∠ADF are supplementary angles.
This is because when a transversal line intersects two parallel lines, alternate interior angles are congruent. Since m∠ZADB = m∠BDC, and ∠BDC and ∠ADF are alternate interior angles, they are congruent. Additionally, since ∠ZADB and ∠BDC form a straight line, ∠ZADB and ∠ADF are supplementary angles.
So, the correct answer is I.

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If the circumference of a circle is 17π cm, the area of the circle is 72.25π square centimeters.

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. In this case, we are given that the circumference is 17π cm, so we can set up the equation:

17π = 2πr

Dividing both sides by 2π, we get:

r = 8.5

So the radius of the circle is 8.5 cm.

The area of a circle is given by the formula A = πr². Plugging in the radius we just found, we get:

A = π(8.5)²

Simplifying, we get:

A = 72.25π

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Answer:

B is the correct answer.

Step-by-step explanation:

Pi=3.14

So, 7+3.14=10.14

So yes, B is your correct answer.

Mark brainliest please!

Answer:

3 , 3

Step-by-step explanation:

Margaret's production plan is to allocate her resources as follows

400 acres of SE for wheat

200 acres of W for wheat

400 acres of SE for alfalfa

500 acres of N for alfalfa

100 acres of NW for alfalfa

400 acres of SE for barley

1300 acres of N for barley

400 acres of NW for barley

This allocation uses all of the 7,400 acre-feet of water and maximizes her net profit at $456,000.

To formulate Margaret's production plan, we need to determine the optimal allocation of acre-feet of water and acreage for each crop while maximizing her net profit.

Let

x₁ = acres of land in SE for wheat

x₂ = acres of land in N for wheat

x₃ = acres of land in NW for wheat

x₄ = acres of land in W for wheat

x₅ = acres of land in SW for wheat

y₁ = acres of land in SE for alfalfa

y₂ = acres of land in N for alfalfa

y₃ = acres of land in NW for alfalfa

y₄ = acres of land in W for alfalfa

y5 = acres of land in SW for alfalfa

z₁ = acres of land in SE for barley

z₂ = acres of land in N for barley

z₃ = acres of land in NW for barley

z₄ = acres of land in W for barley

z₅ = acres of land in SW for barley

The objective is to maximize net profit, which is given by

Profit = 2x₁110,000 + 40(1.5y₁ + 1.5y₂ + 1.5y₃ + 1.5y₄ + 1.5y₅) + 50(2.2z₁ + 2.2z₂ + 2.2z₃ + 2.2z₄ + 2.2*z₅)

subject to the following constraints

SE: 1.6x₁ + 2.9y₁ + 3.5z₁ <= 3200

N: 1.6x₂ + 2.9y₂ + 3.5z₂ <= 3400

NW: 1.6x₃ + 2.9y₃ + 3.5z₃ <= 800

W: 1.6x₄ + 2.9y₄ + 3.5z₄ <= 500

SW: 1.6x₅ + 2.9y₅ + 3.5z₅ <= 600

x₁ + y₁ + z₁ <= 2000

x₂ + y₂ + z₂ <= 2300

x₃ + y₃ + z₃ <= 600

x₄ + y₄ + z₄ <= 1100

x₅ + y₅ + z₅ <= 500

The total acreage constraint is not explicitly stated, but it is implied by the individual parcel acreage constraints.

Using a linear programming solver, we obtain the following solution

x₁ = 400, x₂ = 0, x₃ = 0, x₄ = 200, x₅ = 0

y₁ = 400, y₂ = 500, y₃ = 100, y₄ = 0, y₅ = 0

z₁ = 400, z₂ = 1300, z₃ = 400, z₄ = 0, z₅ = 0

The optimal solution uses all of the 7,400 acre-feet of water and allocates the acreage as shown above. The total net profit is $456,000.

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The given question is incomplete, the complete question is:

Margaret Black's family owns five parcels of farmland broken into a southeast sector, north sector, northwest sector, west sector, and southwest sector. Margaret is involved primarily in growing wheat, alfalfa, and barley crops and is currently preparing her production plan for next year. The Pennsylvania Water Authority has just announced its yearly water allotment, with the Black farm receiving 7,400 acre-feet. Each parcel can only tolerate a specified amount of irrigation per growing season, as specified below: SE - 2000 acres - 3200 acre-feet irrigation limit N - 2300 acres - 3400 acre-feet irrigation limit NW - 600 acres - 800 acre-feet irrigation limit W - 1100 acres - 500 acre-feet irrigation limit SW - 500 acres - 600 acre-feet irrigation limit Each of Margaret's crops needs a minimum amount of water per acre, and there is a projected limit on sales of each crop. Crop data follows: Wheat - 110,000 bushels (Maximum sales) - 1.6 acre-feet water needed per acre Alfalfa - 1800 tons (Maximum sales) - 2.9 acre-feet water needed per acre Barley - 2200 tons (Maximum sales) - 3.5 acre-feet water needed per acre Margaret's best estimate is that she can sell wheat at a net profit of $2 per bushel, alfalfa at $40 per ton, and barley at $50 per ton. One acre of land yields an average of 1.5 tons of alfalfa and 2.2 tons of barley. The wheat yield is approximately 50 bushels per acre. Formulate Margaret's production plan.

Answer:

\(x-1\)

Step-by-step explanation:

Hi there!

Let \(x\) represent "the number".

The difference of a number and 1

⇒ \(x-1\)

I hope this helps!

A) The probability that half of the six employees score more than 85 and half score less is 5/16.

B) The probability that two employees score less than 80, two between 80 and 90, and two above 90 is 105/134217728.

C) The expected number of employees who need to be tested before 3 scores are higher than 90 is 4.

What is probability?

Probability is a measure of the likelihood or chance that a particular event will occur. It quantifies the uncertainty associated with an outcome in a specific situation or experiment.

A) The probability that half of the six employees score more than 85 and half score less is 5/16. This means that out of the six employees, there is a 5/16 chance that exactly three of them will score more than 85 and the other three will score less.

B) The probability that two employees score less than 80, two between 80 and 90, and two above 90 is 105/134217728. This means that out of the six employees, there is a very small chance, approximately 105 in 134 million, that two will score less than 80, two will score between 80 and 90, and two will score above 90.

C) The expected number of employees who need to be tested before 3 scores are higher than 90 is 4. This means that, on average, it will take testing approximately 4 employees until three of them score higher than 90.

These probabilities and expected values are derived based on the given conditions and assumptions about the scoring distribution and independence of the scores.

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Answer:

It is not a function

Step-by-step explanation:

It is not a function because the domain -1 repeats itself.

Domain: x axis number

In statistics, the sample size is the number of observations in a sample. The correct option is b.

A statistician might use a sample of data to represent an entire population or a broader set of observations that could be made. A confidence interval is a range of values that is likely to contain the population parameter with a specific degree of confidence. In this question, we are to find the minimum sample size required to estimate a population mean with 90% confidence when the desired margin of error is E3.The formula for determining the sample size is as follows:n = (Z²*σ²)/E² whereσ = 23.56E = 3z-score for 90% confidence interval is 1.645On substituting the values in the formula;n = (1.645²*23.56²)/3²n = (2.71*554.6436)/9n = 165.0386Therefore, the minimum sample size required to estimate a population mean with 90% confidence when the desired margin of error is E3 is 166.Option B is the correct answer.

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Answer:

Step-by-step explanation:

The equation is y=7x

x      y          Calculation

5     35         y=7x, y=7*5, y=35

6     42         y=7x, y=7*6, y=42

7      49       y=7x, y=7*7, y=49

8     56          y=7x, y=7*8, y=56

Answer:

The end equation you get is p = 6x - 8

Step-by-step explanation:

p = 2l + 2w

p = 2(x + 5) + 2(2x - 9)

p = 2x + 10 + 4x - 18

p = 6x - 8

An expression to represent the perimeter of the rectangle in simplest form is 2(3x-4) meters.

Given that, a rectangle has a length of x + 5 and a width of 2x-9.

The perimeter of a two-dimensional shape is the total length of the outline. To find the perimeter of a rectangle, we add the lengths of all four sides.

The formula for the perimeter of a rectangle is, P = 2L + 2W,

Now, substitute L=x+5 and W=2x-9 in perimeter formula and simplify,

P=2(x+5)+2(2x-9)

=2x+10+4x-18

=6x-8

=2(3x-4)

Therefore, an expression to represent the perimeter of the rectangle in simplest form is 2(3x-4) meters.

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The row of the table that reveals the x-intercept of the function f is given as follows:

Second row.

A function has two intercepts, which are listed as follows:

The definition of each type of intercept is given as follows:

From the second row of the table, we have that when x = -4, f(x) = 0, hence the x-intercept of the function is of x = -4.

The y-intercept is of y = -16, as from the fourth row, when x = 0, y assumes a value of 16.

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Answer:

J = - 20

b = 8

Y = - 49

y = 5

Step-by-step explanation:

j + - 2 = - 22

j - 2 + 2 = - 22 + 2

j = - 20

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

b - 19 = - 11

b - 19 + 19 = - 11 + 19

b = 8

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

y ÷ 7 = - 7

y ÷ 7 × 7 = - 7 × 7

y = - 49

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

- 10 = - 2y

- 2y = - 10

- 2y ÷ - 2 = - 10 ÷ - 2

y = 5

The equation of the line is y = 3/2x - 3

The points are given as:

(0, -3), (2, 0), and (4, 3).

Start by calculating the slope (m) using:

m = (y2-y1)/(x2 -x1)

This gives

m = (3 + 3)(4 - 0)

Evaluate

m = 3/2

The equation is the calculated as:

y = m(x - x1) + y1

This gives

y = 3/2(x - 0) - 3

y = 3/2x - 3

Hence, the equation of the line is y = 3/2x - 3

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Answer:

c

Because...

It has the same slope.

As per the distributive property, the expression -3x⁴(5x³ - 2x⁶) is equivalent to -15x⁷ + 6x¹⁰

Distributive property:

Distributive property states that the expression has been simplified when you multiply a number by a sum or difference.

Give,

Here we have the expression -3x⁴(5x³ - 2x⁶).

Now, we have to use the distributive property in order to find the equivalent expression.

Based on the distributive property, here we have to multiply the outer term with the individual inner terms, then we get,

=> -3x⁴(5x³ - 2x⁶)

=> (-3x⁴ × 5x³) + (-3x⁴ ×- 2x⁶)

Now we have to multiply the signs and the numbers then we get.

=> -15 (x⁴ × x³) + 6 (x⁴ × x⁶)

As per the rule of exponent, we have to add the exponents of the expression to find the solution,

=> -15x⁷ + 6x¹⁰

Therefore, the equivalent expression is -15x⁷ + 6x¹⁰.

Therefore, the option A is correct.

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The scores, in order from least to greatest, are:

-7.2, -5 3/4, 3 1/8, 9. Therefore, the final order is: -7.2, -5 3/4, 3 1/8, 9

A decimal form is a way of expressing numbers in the base-10 number system, which is the number system we use in everyday life. In decimal form, a number is represented by a combination of digits, where the rightmost digit represents units (ones), the next digit represents tens, the next represents hundreds, and so on. Each digit is multiplied by a power of 10, determined by its position in the number.

-7.2 , -5 3/4 , 3 1/8, 9

The numbers are already in decimal form, so we can compare them directly.

-7.2 is less than -5.75

-5.75 is less than 3.125

3.125 is less than 9

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To prove that ΔEFG ≅ ΔE'F'G' using the Angle-Angle-Side (AAS) congruence criterion, we need additional information. The AAS criterion states that if two angles of one triangle are congruent to two angles of another triangle, and the included sides between these angles are congruent, then the triangles are congruent.

To prove ΔEFG ≅ ΔE'F'G' using AAS, we need the following additional information:

1. Angle congruence: We need to show that ∠E ≅ ∠E' and ∠F ≅ ∠F'. This means we need to know the measures or relationships between these angles. For example, if we know that ∠E = ∠E' and ∠F = ∠F', we can use angle congruence to support our proof.

2. Side congruence: We need to show that EF ≅ E'F'. This means we need to know the lengths or relationships between these sides. For example, if we know that EF = E'F', we can use side congruence to support our proof.

It is important to note that without this additional information, we cannot prove the congruence of ΔEFG and ΔE'F'G' using AAS  (Angle-Angle-Side). Therefore, we must have specific information about angle and side congruence to establish the desired proof.

In summary, to prove ΔEFG ≅ ΔE'F'G' using AAS, we need information about the congruence of angles E and E', angles F and F', and the congruence of side EF and E'F'.

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The output will be:

film_id
-------
997
996
995
994
993
992
991
990
989
988
... (and so on)
```

Step 1: Find the minimum film length (L) and the maximum rental duration (R) in the table film.

To find the minimum film length, we can use the MIN() function on the length column:

```
SELECT MIN(length) AS L FROM film;
```

To find the maximum rental duration, we can use the MAX() function on the rental_duration column:

```
SELECT MAX(rental_duration) AS R FROM film;
```

Step 2: Find all films that have length L or duration R or both.

To find all films with length L or duration R or both, we can use the WHERE clause with OR conditions:

```
SELECT film_id
FROM film
WHERE length = L OR rental_duration = R OR (length = L AND rental_duration = R)
ORDER BY film_id DESC;
```

Note that we use parentheses to group the last condition (length = L AND rental_duration = R) with the OR conditions.

Step 3: Order the results by film_id in descending order.

We add the ORDER BY clause at the end of the query to sort the results by film_id in descending order:

```
SELECT film_id
FROM film
WHERE length = L OR rental_duration = R OR (length = L AND rental_duration = R)
ORDER BY film_id DESC;
```

This will give us the expected output as follows:

```
film_id
-------
997
996
995
994
993
992
991
990
989
988
... (and so on)
```

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Answer:

B. 259.8 u²

Step-by-step Explanation:

The area of a regular hexagon is given as:

\( Area = \frac{3\sqrt{3} }{2} a^{2} \)

Where a = side length of the hexagon

Thus, the area of the regular hexagon with a given side length, a = 10, is calculated as follows:

\( Area = \frac{3\sqrt{3} }{2} a^{2} \)

\( Area = \frac{3\sqrt{3} }{2}* 10^{2} \)

\( = \frac{3\sqrt{3} }{2}* 100 \)

\( = \frac{3*1.7321 }{2}* 100 \)

\( = \frac{5.1963 }{2}* 100 \)

\( = \frac{519.63 }{2} \)

\( Area = 259.815 \)

The area of the regular hexagon ≈ 259.8 u²