The possibilities are HH TT HT TH so to get TT you have a 1/4 chance (25%)
Answer:
Step-by-step explanation:
Given that,
y' = 17y ( 1-y^7)
Let y=1
Then, y' = 0 for all t
Then show that it is the only stable equilibrium point so that as y→1, t→∞ with any initial value.
So, the graph solution will be
y(0) = 1 and this will be an horizontal line
If, y(0) > 1 then, y' < 0 by inspecting the first equation, so the graph is has decreasing solution.
Likewise, if y(0) < 1 then, y' > 0 and the graph is increasing.
So no matter the initial condition, graph of the solution will be asymptotic to the horizontal line above.
This make the limit be 1.
This shows that x = 1 is a stable equilibrium.
Answer: The surface area of the sides of the sandbox that Gabe wants to paint is 47ft2
Step-by-step explanation:
Hi to answer this we have to apply the formula:
Surface Area of a rectangular prism = 2lw + 2wh + 2lh
Where:
l= length
w= width
h= height
Since the sandbox is open , it has one less surface (length x width), we have to add only one lw term.
Surface Area of the sandbox = lw + 2wh + 2lh
A = (4x5) + 2( 5x1.5) + 2( 4x1.5)
A = 20+15+12
A= 47 ft2
Answer:
The value of the annuity is $326,852.3766.
Step-by-step explanation:
Here is the required formula to find the present value of annuity:
We can find the present value of annuity:

Here:
P = $50,000
n = represents the number of number of periods
r = 0.11

PV = $326,852.3766
The value of the annuity is $326,852.3766 i.e. PV = $326,852.3766.
Keywords: discount rate, present value of annuity
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