Answer:
Here we have the function:
S(t) = 500 - 400*t^(-1)
Then the rate of change at the value t, will be:
S'(t) = dS(t)/dt
This differentiation will be:
S'(t) = -400/t^2
Then:
a) the rate of change at t = 1 is:
S'(1) = -400/1^2 = -400
The rate of change after one year is -400
b) t = 10
S'(10) = -400/10^2 = -400/100 = -4
The rate of change after 10 years is -4, it reduced as the years passed, as expected.
Answer: 63 total gummy bears
Step-by-step explanation: 37 - 16= 21. 21 is the one third she ate. So 21 x 3 give you the original amount of gummy bears which is 63
Equation= 37 - 16 x 3= 63
Answer:
Last one
Step-by-step explanation:
Imagine it as a mirror or like a paper folding in half, then figure out the direction it shifts.
This can be modeled as:
P(y)=6X10^9(1.014)^(y-2000)
P(2010)=6,894,944,907
P(2075)=17,021,501,805
P(2120)=31,820,415,782 (all to the nearest whole person :) )
