Answer:
$2,323.2
Step-by-step explanation:
A = P(1 + r/n)^nt
Where,
A = future value = ?
P = present value = 2,000
r = interest rate = 5% = 0.05
n = number of periods = 12
t = time = 3 years
A = P(1 + r/n)^nt
= 2,000(1 + 0.05/12)^12*3
= 2,000( 1 + 0.00417)^36
= 2,000( 1.00417)^36
= 2,000(1.1616)
= 2,323.2
A = $2,323.2
Answer:
Step-by-step explanation:
Hello, I believe that we can consider a different from 0.
By definition of the roots we can write.

Thank you
Answer:
a)
b)
And adding the values 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".
Solution to the problem
Let X the random variable of interest "number of teens that have heard of a fax machine", 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:
Part a
For this case we want this probability:
Part b
For this case we want this probability:
And adding the values we got:
Answer:
The margin of error is 0.1215
Step-by-step explanation:
A confidence interval has two bounds, a lower bound and an upper bound. The margin of error is the difference between these two bounds, divided by 2.
In this problem, we have that:
Lower bound: 0.5627
Upper bound: 0.8057
What is the margin of error?
(0.8057 - 0.5627)/2 = 0.1215
The margin of error is 0.1215
Answer:

Step-by-step explanation:
We have been given that Radium-226, a common isotope of radium, has a half-life of 1,620 years.
We will use half life formula to solve our given problem.
, where,
,
,
.
As we are told that the sample has 120 grams, this means that a equals 120. Upon substituting our given values in half life formula we will get,

Therefore, the equation
represents the remaining amount of Radium-226 after t years.