Answer:
a)
, b)
, c)
, d) 
Step-by-step explanation:
a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

b) The general solution is found after separating variables and integrating each sides:

Where
is the time constant and 
c) The time constant is:


The particular solution of the differential equation is:

d) The amount of radium after 300 years is:

It would be 10 because 7000 can go into 70,000 10 times. You can you a calculator or look at the zeros take away the 3 zeros in 7000 and then 3 zeros in 70,000 making it 7 and 70 and 7 goes into 70 10 times as well. I hope this helps!
Because she doesn't receive any interest on the last month, but puts money in, we can write this equation:
18(75) + 17(0.08(75))
1350 + 1.36(75)
1350 + 102
She will have $1452 On the eighteenth month
Answer:
28x + 8y + 2
Step-by-step explanation:
Combine like-terms within the parentheses, then distribute -2.
Hope this helps! :)
Answer:
c is the right answer
Step-by-step explanation: