Answer:
Step-by-step explanation:
As stated in the question, the probability to toss a coin and turn up heads in the first try is
, in the second is
, in the third is
and so on. Then, P(C) is given by the next sum:

This is a geometric series with factor
. Then is convergent to
. With this we have proved that P(C)=1.
Now, observe that

Then



and

The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Step-by-step explanation:
The given is,
Future value, F = $15,000
Interest, i = 5.9%
( compounded continuously )
Period, t = 12 years
Step:1
Formula to calculate the present with compounded continuously,
...............(1)
Substitute the values in equation (1) to find the P value,
( ∵
)

( ∵
)
We change the P (Present value) into the left side,


≅ 7389.43
P = $ 7389.43
Result:
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
If you are asking for the probability of getting a certain card you have a 1/ 20th chance
If you are asking for a percentage there is a 5% chance of getting any card
I hope this helps you
12x/2+24/2
6x+12
-6 ( -x-2)