Answer: 0.87400mg of caffeine.
Step-by-step explanation:
You have
N(t)=N0(e^−rt)(1)
as a general Exponential decay equation where N0 is the amount at t=0, N(t) is the amount remaining at time t and r is the exponential decay constant. You're specifically given that after 10 hours, the decay factor is 0.2601, i.e.,
N(10)/N(0)=N0(e^−10r)/N0(e^0)= e^−10r=0.2601 . .(2)
Taking the last 2 parts of (2) to the power of 0.1t gives
e^−rt=0.2601^.1t . .(3)
This means that
N(t)=N0(e^−rt)=N0(0.2601^.1t). .(4)
Also,
N(2.56)N(1.56)=N0(0.2601.1(2.56))N0(0.2601.1(1.56))=0.2601.1(2.56−1.56)=0.2601^.1
= 0.87400mg of caffeine.
Answer:
(900 ÷ 4) x 10 -200 = 2050 And this will equal last Summer's earnings
Step-by-step explanation:
So we know that 900$ is equal to 40% and that we can simplify this
900 ÷ 4 = 225
40% ÷ 4 = 10%
Therefore:
225 = 10% and
2250 = 100% of earnings
-3 5/9-1 3/9 = 4.88888888889
Answer:
$13 or $7 off
Step-by-step explanation:
20-35%=13
So that means that it is $7 off and it is now $13
The answer is c. A right triangle is one where a^2 + b^2 = c^2, where c is the longest side.
