Answer: b. $3,374.65
Step-by-step explanation:
The exponential equation of growth (continuously) is given by :-
, where A is the initial amount, r is the rate of growth ( in decimal) and x is the time period.
Given : You invest $2,500 in an account that grows 5% each year.
i.e. A= $2,500 and r= 5%=0.05
Then, the equation model this situation will be :-
Now, At x= 6
Hence, the investment amount after 6 years will be $3,374.65.
Answer:
The expected repair cost is $3.73.
Step-by-step explanation:
The random variable <em>X</em> is defined as the number of defectives among the 4 items sold.
The probability of a large lot of items containing defectives is, <em>p</em> = 0.09.
An item is defective irrespective of the others.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 9 and <em>p</em> = 0.09.
The repair cost of the item is given by:
Compute the expected cost of repair as follows:
Compute the expected value of <em>X</em> as follows:
The expected value of <em>X</em> is 0.36.
Compute the variance of <em>X</em> as follows:
The variance of <em>X</em> is 0.3276.
The variance can also be computed using the formula:
Then the formula of is:
Compute the value of as follows:
The expected repair cost is:
Thus, the expected repair cost is $3.73.