Compound interest formula
P = the principal (the initial amount)
r= annual
interest rate (
expressed
as a decimal)
expressed
as a decimal)
annual
interest rate (
expressed
as a decimal)
n=
number of
interest periods
per year
(see the
table below
for more information)
t=
number of years
P is invested
A=amount after t
years
If investment interest rate is
compounded monthly
, then n = 12
If investment interest rate is
compounded quarterly
, then n = 4
If investment interest rate is
compounded semi-annually
, then n = 2
If investment interest rate is
compounded annually
, then n = 1
That funky circle in the middle is the composition of the function. It asks you to take a function as an input and to yield an output that's another function. It's one of the five function operations, along with adding, subtracting, multiplying, and dividing.
When you compose, you might find the notation w(u(x)) easier to understand. It's saying evaluate u then evaluate w.
For our functions, the compositions are:
u(w(x)) = u(2x²) = -(2x²) - 2 = -2x² - 2
w(u(x)) = w(-x - 2) = 2(-x - 2)² = 2(x² + 4x + 4) = =2x²+ 8x +8
Now we evaluate each composition at 4.
u(w(4)) = -2(4²) - 2 = -2(16) - 2 = -32 -2 = -34
w(u(4)) = -2(2²) +8(2) + 8 = -2(4) + 16 + 8 = -8 + 16 + 8 = 16.
Thus, u(w(4)) = -34 and w(u(4)) = 16.
Private funding can run out. federal funding will likely not run out
Answer:
5,9,10.
Step-by-step explanation:
The factors of 20 that I know of are 2,5,10
The possible square no. is below 10 that is, either 4 or 9
Using the above no's you can substitute to see which three give 24 as the sum, thus 5,9,10
