Ben owns a townhome valued at $195,000, but still owes $120,000 on the loan. Ben has $5,000 in savings and a balance of
1 answer:
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Answer:
Step-by-step explanation:
You know that the expression is
By definition we know that:
You also need to remember the Quotient of powers property:
Therefore, you can rewrite the expression:
Finally, you have to simplify the expression. Therefore, you get:
If we look at the series, one third of the current term gives the numerical value of the next term.
If we need to express it algebraically, we can write the following equation.
Therefore, our common multiplier can be found as follows. Because this sequence is a geometric sequence.
In geometric sequences, any term can be written in terms of the first term. Below is an example.
Since we know the numerical values of the first term and the common factor of the series, we can easily find the seventh term.
Answer:
The probability that a randomly selected programmer major received a salary less than 38000 is 0,3085
Step-by-step explanation:
We will assume that the salaries are Normally distributed. Lets call X the salary of a random major programmer in dollars. We want the pprobability of X being less than 38000. For it, we will standarize X. Lets call W the standarization, given by the formula
Lets denote the cumulative distribution function of the standard normal variable W. The values of
are well known and they can be found in the attached file. Now, lets calcualte the probability of X being less than 38000 using
Since the density function of a standard normal random variable is symmetric, then
The probability that a randomly selected programmer major received a salary less than 38000 is 0,3085.