Break even
a large hardware store’s monthly profit from the sale of pvc pipe can be described by the equation p(x)= 6.45x- 9675 dollars, where x is the number of feet of pvc pipe sold. what level of monthly sales is necessary to avoid a loss?

Minimum sales of PVC pipes should be 1500.

Step-by-step explanation:

Monthly profit from the sale of PVC pipe can be described as P(x) = 6.45x - 9675

Here x = number of PVC pipes sold.

To avoid the loss means there is no profit but with no loss.

So by putting p(x) = 0

0 = 6.45x - 9675

6.45x = 9675

x =

  = 1500

Therefore,to avoid the loss minimum number of pipes sold should be 1500.            

The answer is in the image 

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

The solution is in the following 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

The answer is in the image 

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales