All categories

2 years ago

Solve for x in the equation p(m+qx)=rx+n

1 answer:

6 0

$p(m+qx)=rx+n\\\\\implies pm+pqx = rx+n\\\\\implies pqx-rx = n-pm\\\\\implies x(pq -r) = n-pm\\\\\implies x = \dfrac{n-pm}{pq-r}$

You might be interested in

Hi... I'm a dog Factor 64b-16c to identify the equivalent expressions. Choose 2 answers

AleksandrR [38]

8(8b-2c) and 2(32b-8c)

3 0

3 years ago

If Gabe's Soccer Ball Company is able, due to competitive pressure, to charge $60 for a new soccer ball, while one soccer ball c

Brums [2.3K]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Selling price= $60

Unitary variable cost= $28

Fixed costs= $15,000

First, we need to calculate the average total cost:

Average cost= total cost / number of units

For example, for 1 unit and 10,000 units:

1 unit:

Average cost= 15,028/1 = 15,028

10,000 units:

Average cost= (15,000 + 28*10,000) / 10,000

Average cost= $29.5

Now, we can calculate the break-even point in units:

0= (60*x) - (28*x) - 15,000

x= number of units to break-even

0= 32x - 15,000

15,000/32= x

468.75=x

break-even point in units= 469

For the desired profit of $10,000:

10,000 = (60*x) - (28*x) - 15,000

25,000= 32x

781.25= x

Break-even point= 782 units

Finally, fixed costs dropped by $8,000:

0= 32x - 7,000

x= 7,000/32

x= 218.75

Break-even point= 219

Difference= 250 units

5 0

3 years ago

Three roots of a fifth degree polynomial function f(x) are -2, 2, and 4 + i. Which statement describes the number and nature of

Juli2301 [7.4K]

We know that imaginary roots always come in pairs, so we already know 4 solutions

-2, 2, 4 + i and a pair of 4 + i

Since imaginary roots always come in pairs we wont have more than 2 imaginary roots, since its a fifth degree root and we can only have 5 roots

So for sure, we will have 3 real roots and 2 imaginary roots

Last option, f(x) has three real roots and two imaginary roots

3 0

3 years ago

Raphael paid $477 for a camera during a 25% off sale. what was the camera's regular price?

Rudik [331]

All you do Is multiply 477 by .25 and get 119.25 add that to 477 and get 596.25= Answer.

3 0

2 years ago

7. Match each expression in the left column with an equivalent expression in the right

kolezko [41]

Answer: that’s the question

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers