Answer:
$12000 at 5% for 8 years
Step-by-step explanation:
The amount in an account earning continuous interest is given by ...
A = Pe^(rt)
Then the interest earned is ...
I = P(e^(rt) -1)
For the two accounts, the interest earned is ...
I = 12000(e^(.05·8) -1) = 12000(0.491825) = 5901.90
I = 9000(e^(0.065·7) -1) = 9000(0.576173) = 5185.56
The $12000 account earns more interest, primarily because of the larger amount invested.
The answer is 24 you just multiply the initial by the posibilities
Answer:
And the probability is:
And replacing we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
For this case we want the following probability:
And we can calculate thi with the complement rule:
And the probability is:
And replacing we got:
Answer:
720.85 cm3
Step-by-step explanation:
As the cylinders are similar, the ratio of their diameters is the same ratio of their heights, so we have that:
d1 /d2 = h1 / h2
If the volume of the larger cylinder is 9600 cm3, we can find its height:
V = pi*r^2 * h
9600 = pi * 32^2 * h
h = 9600 / (pi * 32^2) = 2.9842 cm
Now we find h2:
64 / 27 = 2.9842 / h2
h2 = 27 * 2.9842 / 64 = 1.259 cm
Finally, we can find the volume of the smaller cylinder:
V = pi * r^2 * h
V = pi * 13.5^2 * 1.259 = 720.85 cm3