he Naturally Made Bath and Body store pays $550 a month for rent and utilities. The average cost for its products to be manufactured is about $3.00 an item. If the average price for a product sold in the store is $5.50, what will the break-even point be? Let x represent the number of products sold.
The break-even point occurs when the cost function equals the revenue function.
550 + 3.00x = 5.50x
Naturally Made needs to sell products to break even.
The cost or revenue when it sells the break-even number of products will be $
.

Using concepts of profit, revenue and cost, it is found that:

Profit is revenue subtracted by cost, that is:

The costs are the fee plus the cost per item, thus:

.

The revenue is the earnings per each item sold, thus:

The break-even point is when the profit is 0, that is:

Thus:

The break-even point is x = 200.

The cost or revenue are:

The cost or revenue when it sells the break-even number of products will be $1110.

A similar problem is given at link

The cost function that represents the situation is C(x)=550+3.00x

The revenue function that represents the situation is R(x)=5.50x

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

Cost before sale tax=$46.00

Cost after including tax=$48.76

Sale tax=$48.76-46.00

=$2.76

we know,

sale tax=((sales tax rate)/100) * cost before sale tax

2.76=((sales tax rate)/100) *46.00

sale tax rate=(2.76*100)/46

                   =276/46

                    =6%

There fore sales tax rate=6%

The solution is given below

There are 6 outcomes 1,2,3,4,5,6

Total outcomes = 6

Outcomes when rolling a number is 4 or less = 1,2,3,4

Total outcome when rolling a number is 4 or less=4

Probability = required outcome/total outcome

                 =4/6

                 =2/3

Therefore probability = 2/3

(​1 or 7) ; number of possible outcome = 2

(a, e,​ i, o, or​ u) ; number of possible outcome = 5

So,

Number of possible outcomes = 2 x 5

Number of possible outcome =10