Demarco starts with 10 milligrams of a radioactive substance. the amount of the substance decreases by 40% each week for a number of weeks, w. the expression 10(1 – 0.4)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true?

c  It is the product of the initial amount and the decay factor after w weeks

Step-by-step explanation:

Step-by-step explanation:

Given that Demarco starts with 10 mg of a radioactive substance.  The decay is given by 40% of available substance.

i.e. P = P0 = 10 mg in the beginning

After 1 week this would be 6 mg = 10(1-0.4)

After 2 weeks this would be 6(1-0.4) = 10(1-0.4)^2

Continuing like this we have

after w weeks the available substance

P(w) = 10(1-0.4)^2

i.e. It is the product of initial amount 10 and the 0,6 raised to power w.

answer: the answer is c.

step-by-step explanation:

she’s dividing 1/3 of the flour into 2 jars.

hope this : )

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.