Answer:
<h3> D) $276.26</h3>Step-by-step explanation:
Deposited amount initially (P) = $250.
Rate of interest(r) = 2.5% compounded monthly = 0.025
Number of years (t) = 4.
Number of months in an year (n) = 12.
Formula for compound interest:
.
Plugging values in formula, we get
A=276.26.
<h3>Therefore, correct option is D) $276.26.</h3>Using the binomial distribution, the probabilities are given as follows:
a) 0.4159 = 41.59%.
b) 0.5610 = 56.10%.
c) 0.8549 = 85.49%.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
For this problem, the values of the parameters are:
n = 3, p = 0.76.
Item a:
The probability is P(X = 2), hence:
Item b:
The probability is P(X < 3), hence:
P(X < 3) = 1 - P(X = 3)
In which:
Then:
P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.
Item c:
The probability is:
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
The integral diverges
Step-by-step explanation:
Consider the integral from 0 to infinity of
We can do this in parts
When we substitute limits infinity we find that the values become infinity
Hence the integral diverges
The given improper integral diverges