LOTS OF POINTS PLS ANSWER

Answer:

17,229.62 pesos

Step-by-step explanation:

The compound interest formula for something that is compounding annually is

\(FV=PV(1+i)^n\)

This question is a litte tricky because it's in months and not years

We can convert this into years by dividing it by 12

18/12=1.5 therefore n=1.5

which means we have

\(15900(1+.055)^{1.5}\)

Compute this and get

17,229.62

Answer: +5

Step-by-step explanation:

-6 + 5 = -1

-1 + 5 = 4

4 + 5 = 9

9 + 5 = 14

Answer: 1.2y+5

If 1+4 =5 and 2.1y-0.9y=1.2y then 1+2.1y-0.9y+4 = 1.2y+5

Answer:

40 square cm

Step-by-step explanation:

2(l + b) = 28

(l + 4) = 28/2

l + 4 = 14

l = 14 - 4

l = 10 cm

Area = lb = 10*4 = 40 square cm

Factorization involves breaking down an expression.

The sum of cubes is given as:

\((a^3 + b^3) = (a + b)(a^2 -ab + b^2)\)

(a) Verify the formula

Expand the expression on the right-hand side

\((a^3 + b^3) = a^3 -a^2b + ab^2 +a^2b - ab^2 + b^3\)

Collect like terms

\((a^3 + b^3) = a^3 -a^2b +a^2b+ ab^2 - ab^2 + b^3\)

\((a^3 + b^3) = a^3 + b^3\)

The formula has been verified

(b) Factorized 8x^3+ 27

We have:

\(8x^3 + 27\)

Express 27 as 3^3

\(8x^3 + 27 =8x^3 + 3^2\)

Express 8 as 2^3

\(8x^3 + 27 =2^3x^3 + 3^3\)

Rewrite as:

\(8x^3 + 27 =(2x)^3 + 3^3\)

Given that:

\((a^3 + b^3) = (a + b)(a^2 -ab + b^2)\)

The expression becomes

\(8x^3 + 27 =(2x + 3)((2x)^2 - (2x)3 +3^2)\)

\(8x^3 + 27 =(2x + 3)(4x^2 -8x3 +9)\)

(c)The other factor of 2^3 - b^3

By difference of cubes, we have:

\(x^3 - y^3=(x-y)(x^2+xy+y^2)\)

So, the equation becomes

\(2^3 - b^3=(2-b)(2^2+2b+b^2)\)

This gives

\(2^3 - b^3=(2-b)(4+2b+b^2)\)

Hence, the other factor of \(2^3 - b^3\) is \(4+2b+b^2\)

(c) Factor x^3 - 1

We have:

\(x^3 - y^3=(x-y)(x^2+xy+y^2)\)

Express 1 as 1^3 in x^3 - 1

\(x^3 - 1 =x^3 - 1^3\)

\(x^3 - y^3=(x-y)(x^2+xy+y^2)\) becomes

\(x^3 - 1^3=(x-1)(x^2+x+1^2)\)

\(x^3 - 1^3=(x-1)(x^2+x+1)\)

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Answer: the correct answer is No, her exponent should be a negative value

Step-by-step explanation:

Answer:

C) No, her exponent should be a negative value

Step-by-step explanation:

Got it right on the assignment EDGE 2022

The value οf the expressiοn is \(-cot^2x\).

Trigοnοmetry deals in a right angled triangle by giving the ratiο οf variοus sides οf the right angled triangle.

An equatiοn is a fοrmula in mathematics that expresses the equality οf twο expressiοns by cοnnecting them with the equals sign (=). The wοrd equatiοn and its cοgnates in οther languages may have subtly different meanings; fοr example, in French, an équatiοn is defined as cοntaining οne οr mοre variables, whereas in English, an equatiοn is any well-fοrmed fοrmula cοnsisting οf twο expressiοns linked by an equals sign.

\(\frac{sin^2(\frac{\pi }{2}-x) }{cos^2-1} \\= \frac{cos^2x}{cos^2-1} \\=\frac{cos^2x}{cos^2x-sin^2x-cos^2x} \\=\frac{cos^2x}{-sin^2x} =-cot^2x\)

Hence, the value of the expression is \(-cot^2x\).

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A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Simplify the integrand as

\(\dfrac{2x^3 - x^2 - 2x + 4}{1 + x^2} = \dfrac{(2x^3 + 2x) - (x^2 + 1) - 4x + 5}{x^2 + 1} \\\\ = \dfrac{2x(x^2 + 1) - (x^2 + 1) - 4x + 5}{x^2 + 1} \\\\ = 2x - 1 - \dfrac{4x - 5}{x^2 + 1}\)

(in other words, compute the quotient and remainder)

We can further split up and prepare the remainder term for integration by rewriting it as

\(\dfrac{4x - 5}{x^2 + 1} = 2\times\dfrac{2x}{x^2 + 1} - \dfrac5{x^2 + 1}\)

Now we integrate:

\(\displaystyle \frac{2x^3 - x^2 - 2x + 4}{1 + x^2} \, dx = \int \left(2x - 1 - 2\times\frac{2x}{x^2+1} + \frac5{x^2+1}\right) \, dx\)

\(\displaystyle = x^2 - x - 2 \int \frac{2x}{x^2+1} \, dx + 5 \int \frac{dx}{x^2+1}\)

In the first remaining integral, substitute y = x² + 1 and dy = 2x dx. In the last integral, recall that d/dx [arctan(x)] = 1/(x² + 1).

\(\displaystyle = x^2 - x - 2 \int \frac{dy}y + 5 \int \frac{dx}{x^2+1}\)

\(\displaystyle = x^2 - x - 2 \ln|y| + 5 \arctan(x) + C\)

\(\displaystyle = \boxed{x^2 - x - 2 \ln(x^2+1) + 5 \arctan(x) + C}\)

We know that

• The loan is $17,500.

• The APR is 6%.

• The period of time is 25 years.

Use the following formula.

Where P = 17,500, r = 0.005, n = 300.

(a) Therefore, the monthly payment is $112.75.

The total amount paid would be obtained by multiplying the monthly payment by the total number of months.

(b) Therefore, the total amount paid will be $33,825.

Divide the total amount paid by the principal.

(c) The student will pay 193% of the principal, of which 93% represents interest.

Answer:

See below

Step-by-step explanation:

Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.

Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.

Answer:

multiply the numbers

128

Step-by-step explanation:

Answer:

128 is the answer

Step-by-step explanation:

your welcome!

Using the combination formula, it is found that:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula, involving factorials. It is used when the order in which the elements are chosen does not matter.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In the context of this problem, we have that seven tablets are chosen from a set of 28 tablets, hence the number of selections that can be made is given by:

\(C_{28,7} = \frac{28!}{7!21!} = 1,184,040\)

For two defective tablets, the selections are given as follows:

Hence the number of selections is calculated as follows:

\(C_{23,5}C_{5,2} = \frac{23!}{5!18!} \times \frac{5!}{2!3!} = 336,490\)

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The value of the cosine of the angle of (a - b) will be 0.80.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

It is a function that repeats itself in a particular time interval.

Suppose that sin(a) = 4/6 and cos(b) = 1/5.

Then the value of 'a' is given as,

sin(a) = 4/6

sin(a) = 2/3

a = 41.81°

Then the value of 'b' is given as,

cos(b) = 1/5

b = 78.46°

Then the value of the cosine of the angle of (a - b) will be given as,

⇒ cos(41.81° - 78.46°)

⇒ cos(-36.65°)

⇒ cos 36.65°

⇒ 0.80

The value of the cosine of the angle of (a - b) will be 0.80.

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Answer:

Step-by-step explanation:

(x-2)(x-2)(x-4)

Answer:

8 large candles.

Step-by-step explanation:

So imagine they sold x small candles, then they sold 20-x large candles.

We can list out an equation:

11x+28×(20-x)=356

11x+560-28x=356

-17x=-204

x=12

Large candles:20-12=8

Have a nice day! :)

-Vana

Answer:

The answer should be -3/2 I believe

Step-by-step explanation:

Formula I used: (x1-y1)/(x2-y2) = x/y (fraction) then simplify if possible

ex: (1 - 4)/(-4 - -6) = -3/2, cannot simplify so that is your answer

Answer:

b. Exploring alternation explanation

Step-by-step explanation:

Experiments are carried out in controlled conditions to confirm a known truth, examine the validity of a hypothesis, or evaluate the efficacy of something that has never been tried before.

SO, when an experiment result seems only partly to support a hypothesis, the best thing to do is to consider exploring alternative explanations through modification of the hypothesis.

A scientific should not be formulated because it is when we have a valid theory that we can formulate a scientific law.

Also, we cannot manipulate the experiment's data because it is not part of the code and conduct of carrying out research.

The solutions of the equation of the graph is -4 and 2.

An placement of values to the uncertainties that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root. An equation's solution set is the collection of all possible solutions.

We know that the solution of the equation is determined using the graph by obtaining the point of intersection of the equation.

In the given graph the point of intersection of the two equations are at x = -4 and x = 2.

Hence, the solutions of the equation of the graph is -4 and 2.

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The complete question is:

Large Tractors Sold at Break Even Point= 26 units

Small Tractors Sold at Break Even Point= 39 units

Break-even point is where sales are equivalent to the sum of all costs incurred by the company. It is a significant concept in accounting as it gives the managers vital information on how many units must be sold to make business operations profitable.

From the question, it was stated that Wagner Enterprises sells for every three small tractors, two large tractors. Therefore, the sales mix will be:

The contribution margin per unit will be computed first, after which we multiply the sales mix by the computed margin per unit to get the Weighted Average Contribution Margin (WACM). This is shown below:

For Large Tractor:

Selling Price per Unit = $62,000

Variable Cost per Unit = $28,520

Contribution Margin per Unit = ($62,000 - $28,520) = #33,480

Multiply by sales-mix of 2/5 = 2/5 times $33,480 = 13,392 (WACM)

For Small Tractor:

Selling Price per Unit = $34,000

Variable Cost per Unit = $16,320

Contribution Margin per Unit = ($34,000 - $16,320) = #17,680

Multiply by sales-mix of 3/5 = 3/5 times $17,680 = 10,608 (WACM)

The Total Weighted Average Contribution Margin per unit is therefore:

$13,392 + $10608, equaling $24,000.

Now we can find the Break-even Point in Unit.

Formula for Break-even Point in Unit = Total Fixed Cost (TFC) divided by Weighted Average Contribution Margin in unit

Total Fixed Costs = $1,560,000

WACM in unit = $24,000

Break-Even Point = \(\frac{1,560,000}{24,000}\) = 65 units

From the calculations, the total units that must be sold to break-even are equivalent to 65 units. Given the above sales mix, the 65 units will be shared thus:

Therefore, 26 units of Large Tractors and 39 units of Small Tractors were sold at Wagner's Enterprise break-even point.

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Answer:

300

Step-by-step explanation:

We need to find 12/37 of 444.

12/37 * 444 = 12/37 * 444/1 = (12 * 444)/(37 * 1) = 5328/37 = 144

She sat in the back seat 144 times out of 444.

444 - 144 = 300

She sat in the front seat 300 times.

Answer:

x + 10 = -5

|2x|=10

x<0

The expression which represents the simplest factorization of 56st – 21t is 7t(8s - 3).

Factorization is the process of creating a list of factors. It is also an expression listing items that when multiplied together will produce a desired quantity.

Greatest common factor is the largest positive integer or polynomial that is a divisor of several different numbers.

56st - 21t

Factors of

56st = 1, 2, 4, 7, 8, 14, 28,:56, t, s

21t = 1, 3, 7, 21

The common factors of 56st and 21t is 7 and t

56st - 21t

= 7t(8s - 3)

Check:

7t(8s - 3)

= 56st - 21t

In conclusion, the simplest factorization of the expression 56st - 21t is 7t(8s - 3).

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Answer:  x=7

Step-by-step explanation:  

plug y into equation...

x-(-4x+23)=12

solve...

x+-1(-4x+23)=12

x+-1(-4x)+-1(23)=12

x+4x-23=12

5x-23=12

5x=35

x=7

Answer:

Median income has not changed

Mean income has increased

Step-by-step explanation:

Initial number of houses = 6

Earning per household = $40,000

The initial mean :

$(40,000 * 6) / 6 = $40000

Initial median :

40000, 40000, 40000, 40000, 40000, 40000

= 1/2(n+1)th term,

Median = 40000

A 7th household earns 4,000,000

Mean = ((40000*6) + 4,000,000) / 7 = $605,714

Median = 1/2(n+1)th term

40000, 40000, 40000, 40000, 40000, 40000, 4000000

Median = 4th term = 40000

Area of Hexagon having six sides = \(\frac{3\sqrt{3}s^{2} }{2}\)

Hexagons are polygons with six sides and six angles.

Six equilateral triangles make up a regular hexagon, which has six equal sides and six angles. Whether you're dealing with an irregular hexagon or a standard hexagon, there are numerous approaches to figure out the area of a hexagon.

The area of hexagon formula can be calculated in a number of different ways. The various techniques primarily depend on the hexagon's spitting motion.

It can be split into two triangles and one rectangle, or six equilateral triangles. We shall examine numerous approaches to calculating the hexagon's surface area in this post.

According to the given information

Area of Hexagon having six sides = \(\frac{3\sqrt{3}s^{2} }{2}\)

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