Answer:

Step-by-step explanation:
So, we know that Jolene bought an initial $750.
We also know that the purchase is increasing at an average rate of 5 1/2 %or 5.5%. In other words, this is being compounded.
So, we can use the compound interest formula, which is:

Where A is the total amount, P is the principal value, r is the rate and n is the number of times compounded per year, and t is the amount of years.
So, substitute 750 for P. 5 1/2% is the same as 5.5% or 0.055 (you move the decimal two places to the left and remove the percent symbol) so substitute this for r. Since it's increasing yearly, n is 1. So, our formula is:

Add:

Since the stock was bought 3 years ago, the value <em>now</em> is t=3. So, substitute 3 for t and evaluate:

Evaluate. Use a calculator:

And we're done!
Answer:
B
Step-by-step explanation:
540 is the sum of all angles in a pentagon
The ANGLE STP is 180-50 = 130
540 - 130 is 410
Answer: x=-63/73
Step-by-step explanation:
Multiply both sides by 12, Move constant to the right hand side and change its sign, Move variable to the left hand side and change its sign, collect like terms, divide both sides of the equation by -73, x=-63/73 (- 63 over 73)
Answer:
a)
, in which z is related to the confidence level.
b) A sample size of 991 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent
This means that 
a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).
This is n for which
. So





, in which z is related to the confidence level.
Question b:
99% confidence level,
So
, z is the value of Z that has a pvalue of
, so
.



Rounding up
A sample size of 991 is needed.