The function f(x)=500(0.5)^x/100 models the amount of pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since material was put into the vault. find the amount of radioactive material in the vault after 140 years. round to the nearest whole number.

the amount of radioactive material in the vault after 140 years is 190 pounds.

Step-by-step explanation:

The given model for the amount of pounds of a particular radioactive material is

f(x) = 500(0.5)^(x/100)

where

Therefore,  the amount of radioactive material in the vault after 140 years will be

f(140)  = 500(0.5)^(140/100)

f(140)  = 189.5 pounds

This answer rounded off to the nearest whole number will be

f(140) = 190 pounds

Therefore, the amount of radioactive material in the vault after 140 years is 190 pounds.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

read more on -

step-by-step explanation: