The function f (x )equals 1000 (0.5 )Superscript StartFraction x Over 30 EndFraction describes the amount, f(x), in kilograms, of a radioactive element remaining in the area x years after 1982. If even 100 kilograms of the radioactive element remains in the atmosphere, the area is considered unsafe for human habitation. Find f(40) and determine if the area will be safe for human habitation by 2022.

40 years after 1982, there is 396.85 kilograms of  radioactive element remaining. The area will not be safe for human habitation by 2022.

Step-by-step explanation:

We are given the following in the question:

where f(x) is the amount of normal curve cannot be used as an approximation to the binomial probability. in kilograms  x years after 1982.

We have to approximate f(40)

Putting x = 40, we get

Thus, 40 years after 1982, there is 396.85 kilograms of  radioactive element remaining.

With 100 kilograms of radioactive material, the area is unsafe for humans.

Thus, the area will not be safe for human habitation by 2022.

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get