Answer: 7 cubic meters
Step-by-step explanation:
you add
Answer:

And for this case we can use the cumulative distribution function given by:

And using this formula we have this:

Then we can conclude that the probability that your bid will be accepted would be 0.41
Step-by-step explanation:
Let X the random variable of interest "the bid offered" and we know that the distribution for this random variable is given by:

If your offer is accepted is because your bid is higher than the others. And we want to find the following probability:

And for this case we can use the cumulative distribution function given by:

And using this formula we have this:

Then we can conclude that the probability that your bid will be accepted would be 0.41
Answer:
Amount ($451.9), Interest ($51.9)
Step-by-step explanation:
We need to use the formula of A = P(1 +
)^n*t
A = Total Amount
P = Principle/Deposited money
R = Annual Interest Rate
N = Number of times compounder per year
T = time in years
We have P = $400, r = 2.47%, n = 1 and t = 5 years.
Now lets plug it all in!



A = 451.9
Now we need to find the interest...
We will use A = P + I since A is 451.9 and P = 400
451.9 = 400 + I
I = 451.9 - 400
I = 51.9
So what this is is
many words
assuming year 0 is 2017
so compound first thing till 2020, take out 30000
the remaining is copmpounded til 2022, take out 50000
remaining is compounded for 1 more year and that is equal to 80000
so from 2017 to 2020, that is 5 years
from 2020 to 2022 is 2 years
from 2022 to 2023 is 1 year
work backwards
A=P(r+1)^t
last one
A=80000
P=?
r=0.08
t=1 year
80000=P(1.08)^1
divide both sides by 1.08
I would leave in fraction
20000000/27=P
now that is the remaining after paying 50000, after 2 years of compounding
so
50000+(2000000/27)=P(1.08)^2
solve using math
about
106374=P
now reverse back
5 years
paid 30000
30000+106374=P(1.08)^5
solve using math
92813.526=P
round
$92813.53
put $92813.53 in the fund
Answer:
523.333 cubic yards
Step-by-step explanation:
The formula for the volume of a sphere is
where
is the radius.
The radius of the given sphere is
yards and
.
Therefore, we can substitute in the radius and solve:
cubic yards