Help me with this please

Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

As a result, $17.55 should be chosen as the selling price to sell 480,000 units for a profit of $1,500,000.

We must add the desired net profit of $1,500,000 to the total cost of producing the 480,000 units to determine the selling price.

You can determine the overall cost as follows:

Total cost equals fixed costs plus. (Variable costs per unit x Number of units)

Total expense equals $984,000 plus ($14.50 x 480,000)

Cost in total is $7,224,000.

To reach a net profit of $1,500,000, we must add the following sum to the whole expense:

Selling price is calculated as Total Cost + Desired Net Profit / Units Sold.

($7,224,000 + $1,500,000) / 480,000 = selling price

Price to Sell: $17.55

As a result, $17.55 should be chosen as the selling price to sell 480,000 units for a profit of $1,500,000.

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Answer:

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

To determine the selling price, we first need to calculate the total  variable cost:

Now calculate the required revenue:

Find the required selling price per unit:

Answer:

\(94/99\) Or \(0.94\) as a repeating decimal

Step-by-step explanation:

Answer:

It is 3c² + 9c + 14

Step-by-step explanation:

\(3c(5 + c) - 2(3c - 7)\)

open the brackets:

\( = (15c + 3 {c}^{2} ) - (6c - 14) \\ = (15c + {3c}^{2} ) - 6c + 14\)

express in quadratic equation:

\(3 {c}^{2} + 9c + 14\)

Answer:

x^2+12x+36=1+36

Step-by-step explanation:

you divide the 12 by 2 which is 6 and then square it (36)

Answer:

x^2+12x+36=1+36

Hi there! :)

\(\large\boxed{\text{ x = 0, or (0, 2)}}\)

The solution of g(x) = 3x + 2 and f(x) = |x - 1| + 1 is where the two lines intersect.

According to the graph, the functions intersect at the point (0, 2), or x = 0. This is the solution to the system of equations.

We could also prove this algebraically by setting the two equations equal to each other:

3x + 2 = | x - 1 | + 1

Assume the absolute value function is negative:

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

Simplify:

3x + 2 = -x + 2

Add x to both sides:

4x + 2 = 2

Subtract 2 from both sides:

4x = 0

x = 0. This is the solution to the system.

Answer:

B) (1/2, -8)

Step-by-step explanation:

(1, -6) and (0, -10)

Midpoint formula:

((x1+x2)/2, (y1+y2)/2)

Solving for x:

(x1+x2)/2

(1 + 0)/2

1/2

Solving for y:

(y1+y2)/2

(-6-10)/2

(-16)/2

-8

Answer 25 yellow flowers

Step-by-step explanation:

Let

x -----> the number of yellow flowers

y ----> the total number of flowers

we know that

---->  ---> equation A

----> equation B

substitute the value of y in the equation A and solve for x

Answer:

1/2 and 1/6

Step-by-step explanation:

she bought 10 pencils and 5 erasers

Let x represent the number of pencils and y represent the number of erasers.

Gabby wants to spend exactly $2.00 on pencils and erasers, hence:

0.15x - 0.1y = 2        (1)

Therefore x = 10 and y = 5

Therefore she bought 10 pencils and 5 erasers.

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Answer:

in 1,2 options they r in exponential form

in 4,option also, we can write it as xpower1/2 so this also in exponential form

but in third option y=x there is no exponential form

Final value for option A is $11,155.20

Final value for option B is $12,314.14

Proceed Option A,

Given that,

Initial Investment is $9,000

Interest Rate is 6.12%

Time is 6 years

We know the formula,

Final Value = Initial Investment x (1 + Interest Rate x Time)

Put the values into the formula, we get,

Final Value = $9,000 x (1 + 0.0612 x 6)

Final Value = $11,155.20

Therefore, the final value after 6 years, rounded to the nearest dollar, is $11,155.

Proceed Option B,

Given that,

Initial Investment is $9,000

Interest Rate is 5.85%, compounded annually

Time is 6 years

We know se the formula for compound interest,  

Final Value = Initial Investment x \((1 + Interest Rate) ^{Time}\)

Putting the values into the formula, we get,

Final Value = $9,000 x \((1 + 0.0585) ^{6}\)

Final Value = $12,314.14

Therefore,

The final value  after 6 years, rounded to the nearest dollar, is $12,314.

Now the table is:

Investment           Initial              interest         Time         Final

option            Investment          Rate                               Value

Option A              $9,000               6.12%          6 years        $11,155

Option B              $9,000                5.85%        6 years        $12,314.14

                                                    (compound)

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Step-by-step explanation:

\(h = \frac{3}{4} 4.8 \ = \\ = 3 \times 1.2 = 3.6\)

\(area = \frac{3.6 \times 4.8}{2} = \\ = 3.6 \times 2.4 = \\ = 8.64\)

Answer:

Well the answer would be 9.

Step-by-step explanation:

All you have to do is put 6 in the place of X. So the new equation would be 5x2+6-7, and all you do is solve that. So multiply 5 and 2 to get 10, than add 10 to 6 and get 16, 16 minus 7 to get your answer of 9.

Hope this is right, pls tell me and sorry its so late lol

Answer:

75,071,003,569

Step-by-step explanation:

use pemdas

means we must multiply before adding and subtracting

6,532 + 76,544 × 980,766 + 9,888 - 765,655

6,632 + 75,071,752,704 + 9,888 - 765,655

now we add and subtract, starting from left to right

75,071,759336 + 9,888 - 765,655

75,071,769,224 - 765,655

75,071,003,569

Answer: 40

Step-by-step explanation:

150 / 30 = 5

8 x 5 = 40

40 of 150 students is equivalent to 8 of 30 students.

Answer:

The problem statement suggests that the series of donations is arithmetic, as each student's donation increases by one as their number increases. Therefore, we can apply the formula for the sum of an arithmetic series to solve this problem.

In an arithmetic series, the sum S of n terms is given by:

S = n/2 * (a + l)

where:

- n is the number of terms (which represents the number of students in this case),

- a is the first term (in this case, the first student's number, which would be 1), and

- l is the last term (in this case, the last student's number, which we don't know yet).

Given that S = Rs. 13225, we have:

13225 = n/2 * (1 + l)

Since this is an arithmetic series starting from 1, the last term, l, is equal to n. Thus, we can substitute l with n:

13225 = n/2 * (1 + n)

Multiplying through by 2 to clear the fraction gives:

26450 = n * (1 + n)

Rearranging to a quadratic equation gives:

n^2 + n - 26450 = 0

This is a quadratic equation in the form of ax^2 + bx + c = 0. To solve for n, we can use the quadratic formula, n = [-b ± sqrt(b^2 - 4ac)] / (2a). But since n cannot be negative in this context (as it represents the number of students), we will only consider the positive root.

Applying the quadratic formula, we find that the positive root is approximately 162.5. However, the number of students must be a whole number. Therefore, the number of students is 163, because the 163rd student did not donate fully as per their number, and that's why the total amount doesn't reach the full sum for 163 students.

So, there were 163 students who donated money to the fund.

Answer:

mZCAD=310°

Step-by-step explanation:

M2BAC=1,m2DAE=3 and m-BAE=0 therefore solution will be 310°

The ordered pairs of the equation y = 3^x are (0,1), (1,3) and (2,9)

The equation is given as:

y = 3^x

Let x = 0, 1 and 2

y = 3^0 = 1

y = 3^1 = 3

y = 3^2 = 9

So, we have the following ordered pairs (0,1), (1,3) and (2,9)

Hence, the ordered pairs of the equation y = 3^x are (0,1), (1,3) and (2,9)

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Given:

The point is (-2,3).

The parallel line is y=4x+2.

This is of the form

where slope m=4.

We know that the slope of the parallel lines is equal.

Thus we get the slope m =4 for the required line.

Consider the line equaiton

Substitute x= -2,y=3, and m =4 in the equation to find the value of b.

Adding 8 on both sides of the equation, we get

We get b=11.

Substitute m=4 and b=11 in the equation, we get

Hence the line equation that passes through the point (-2,3) and parallel to y=4x+2 is

Answer:84%

Step-by-step explanation:because of the process of elimanation

The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."

According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.

The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:

Sum = (n/2)(first term + last term)

In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:

Sum = (7/2)(x + (x + 6))

Simplifying the equation:

(7/2)(2x + 6) = (21/4)(x + 6)

Multiplying both sides by 4 to eliminate the fractions:

14x + 42 = 21x + 126

Subtracting 14x from both sides:

42 = 7x + 126

Subtracting 126 from both sides:

-84 = 7x

Dividing both sides by 7:

-12 = x.

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Answer:

x=45

Step-by-step explanation:

i hope its right good luck :)

i think im wrong

If greenfield company has a piece of manufacturing equipment with a book value of $40,000 and a remaining useful life of four years.  the total increase or decrease in income by replacing the current equipment with the new equipment is:$22,000 decrease.

Here, we have,

to find the increase or decrease in income

Annual Savings $76,000

($19,000 × 4 years)

Add Proceeds from Sale of Machine $22,000

Total  $98,000

Total increase or decrease in income = $98,000 - $120,000

Total increase or decrease in income = $22,000 (Decrease)

Therefore the decrease in income is $22,000.

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complete question:

granfield company has a piece of manufacturing equipment with a book value of $40,000 and a remaining useful life of four years. at the end of the four years the equipment will have a zero-salvage value. granfield can purchase new equipment for $120,000 and receive $22,000 in return for trading in its current equipment. the current equipment has variable manufacturing costs of $39,000 per year. the new equipment will reduce variable manufacturing costs by $19,000 per year over its four-year life. the total increase or decrease in income by replacing the current equipment with the new equipment is:

Answer:

0.4

Step-by-step explanation:

Divide 2 by 5 you'll get 0.4

Answer:

12 * Answer:
12 x 3 = 36 + 6 = 42,
Step-by-step explanation:

Step-by-step explanation:

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

C

Step-by-step explanation:

She sells her bike for 104 dollars

She sells toys        for  68 dollars

Total                             172

The question is a bit ambiguous. There are 4 divisions. So I would assume that you need to divide 172 by 4. If you do that you get 43

I think that what they are getting at is the answer is C. There are 4 months shown. And 1 month would be 43 dollars. She has enough for 3 more months.