There was a sample of 350 milligrams of a radioactive substance to start a study. since then, the sample has decayed by 5.7% each year. let t be the number of years since the start of the study. let y be the mass of the sample in milligrams. write an exponential function showing the relationship between y and t.

y = 350(0.943)t

Step-by-step explanation:

Mass of sample after t years is given by

y = Initial mass * (1 - r)t

In this case,

Initial mass = 350 mg

r = 5.7% = 0.057

Therefore,

y = 350(1 - 0.057)t

=> y = 350(0.943)t

Therefore, relationship between y and t is given by

y = 350(0.943)t

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: