If a material has a half life of 4 days and an initial amount of 400mg, how many mg will there be after 4 days?
200mg
Solve for x:
4x = 43x+1
x = -1/2
What is the inverse of y=log2x
f-1(x) = 2x
f(n) = 7 + 0.25n where n is the term number. What is the 10th term in the sequence?
9.5
What is the solution to the following quadratic:
y = 3x2-5x+3
x = (5±11i)/6
If a medicine has a half-life of 7 hours and has an initial dosage of 350mg, how many mg will there be after 14 hours?
87.5
Solve for x:
6x-1 = 36x+2
x = -5
What is the inverse of y = 4x
f-1(x) = log4x
Write the explicit equation for the following sequence:
6, 2, -2, -6, -10 .....
f(n) = 6-4(n-1)
What interval has the greatest rate of change (see power point)
Write an equation for the amount of medicine left in your body M(t) if it has a half-life of 2 hours and an initial dosage of 400mg.
M(t)=400(0.5)t/2
Solve for x:
4*3x-1 = 14
x=2.14
Is the point (1,4) a point on the inverse of y=2x?
No, inverse is y=log2x
Use your notes and write the equation for the amount of money in an account B(t) if the initial investment is $250 compounded 4 times a year at a 3.4% interest rate after t years.
B(t) = 250(1+(0.034/4))^4t
Write an equation for the amount of material left in the form A(t) = Aoe-rt where Ao is the initial amount (400mg) and r is the decay rate (0.442) in terms of.
A(t) = 400e-0.442t
Solve for t:
300 = 200et/4
t=1.62
is the point is the point (2,25) a point on the inverse of the function f(x)=log5x
See Mr. Waggoner's notes.