WILL GIVE BRAINLIEST!

He price of an item has been reduced by 15%. The original price was $35.

Liono4ka [1.6K]

15% of $35 is 5.25. 35- 5.25 = $29.75

7 0

3 years ago

Plz help will give brainly!!!!!

Galina-37 [17]

Answer:

building a aroung 50.34 feet

8 0

2 years ago

12n^2+12n+9=0 Please solve!

Bogdan [553]

Answer:

n = (1/2)(-1 ± i√2)

Step-by-step explanation:

Among the several ways in which quadratic equations can be solved is the quadratic formula. Putting to use the coefficients {12, 12, 9}, we obtain the discriminant, b^2 - 4ac: 12^2 - 4(12)(9) = 144 - 432 = -288. The negative sign of this discriminant tells us that the quadratic has two unequal, complex roots. These roots are:

-b ± √(discriminant)

n = ---------------------------------

2a

Here we have:

-12 ± √(-288) -12 ± i√2√144 -12 ± i12√2

n = ---------------------- = ------------------------ = --------------------

2(12) 24 24

or:

n = (1/2)(-1 ± i√2)

5 0

3 years ago

The unit cost, in dollars, to produce bins of cat food is $3 and the fixed cost is $6972. The price-demand function, in dollars

stellarik [79]

Answer:

Revenue , Cost and Profit Function

Step-by-step explanation:

Here we are given the Price/Demand Function as

P(x) = 253-2x

which means when the demand of Cat food is x units , the price will be fixed as 253-2x per unit.

Now let us revenue generated from this demand i.e. x units

Revenue = Demand * Price per unit

R(x) = x * (253-2x)

= $253x-2x^2$

Now let us Evaluate the Cost Function

Cost = Variable cost + Fixed Cost

Variable cost = cost per unit * number of units

= 3*x

= 3x

Fixed Cost = 6972 as given in the problem.

Hence

Cost Function C(x) = 3x+6972

Let us now find the Profit Function

Profit = Revenue - Cost

P(x) = R(x) - C(x)

= $253x-2x^2 - (3x + 6972)$

= $253x-3x-2x^2-6972\\= 250x-2x^2-6972\\=-2x^2+250x-6972\\$

Now we have to find the quantity at which we attain break even point.

We know that at break even point

Profit = 0

Hence P(x) = 0

$-2x^2+250x-6972=0\\$

now we have to solve the above equation for x

Dividing both sides by -2 we get

$x^2-125x+3486=0$

Now we have to find the factors of 3486 whose sum is 125. Which comes out to be 42 and 83

Hence we now solve the above quadratic equation using splitting the middle term method .

Hence

$x^2-42x-83x+3486=0\\x(x-42)-83(x-42)=0\\(x-42)(x-83)=0\\$

Either (x-42) = 0 or (x-83) = 0 therefore

if x-42= 0 ; x=42

if x-83=0 ; x=83

Smallest of which is 42. Hence the number of units at which it attains the break even point is 42.

5 0

3 years ago

Tina just opened a new restaurant. She earned $550 on

djverab [1.8K]

Answer:

Samantha will earn $1,150 on the 7th day.

Step-by-step explanation:

Linear Modeling

It consists of finding the equation of a line that represents the data provided in a specific situation.

Tina's (or Samantha's) earnings are $550, x, $750,... where x is an unknown amount for the second day of her new restaurant.

The earnings continue to increase at the same rate until the 7th day. We must find the earnings for that last day.

The linear model can be found in several ways. We'll use the slope-point form of the line, finding first the slope and then the y-intercept.

The equation of the line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

1) Find the slope

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

We have the points (1,550) and (3,750), thus:

$\displaystyle m=\frac{750-550}{3-1}=100$

2) Get the equation of the line

Substituting into the equation of the line, we get:

y=100x+b

Select the point (1,550), substitute into the above equation, and solve for b:

550=100(1)+b

Solving:

b=450

Thus we complete the equation of the linear model:

y=100x+450

3) Substitute 7 for x

y=100(7)+450

y=1,150

Samantha will earn $1,150 on the 7th day.

3 0

2 years ago