Let's start by calculating the cost of the first 10 boxes, which totals $75, and the next 10 boxes cost $55.
Together, these 20 boxes amount to $130 spent. With $18 remaining, you can purchase 4 more boxes since 18 divided by 4.5 equals 4.
Therefore, the maximum number of boxes you can buy with $148 is 24.
a) This represents a geometric sequence. b) c) The salary at the beginning of the fifth year will be $46,945.21. To clarify, my starting salary is $37,185. Should I receive a 6% raise each year, the salary for the following year will be: $37,185 x 1.06 = $39,416.10. Consequently, the salary after the second year will be: $39,416.10 x 1.06 = $41,781.07. Hence, the salary sequence will look like: $37,185, $39,416.10, $41,781.07, and so forth, demonstrating a consistent ratio of r = 1.06 for each term.
Answer:
In this scenario, the solution for n is determined to be 16 when rounded up to the closest integer
Step-by-step explanation:
The following information has been provided for this case:
symbolizes the population standard deviation
signifies the preferred margin of error
The formula for the margin of error of the actual mean is given as:
(a)
In this case, the margin of error (ME) is 0.03, and to find n, we rearrange equation (a) to get:
(b)
With a confidence level of 80%, and the significance level being 
and 
, the critical value is 
. Plugging in these values into formula (b) results in:
Thus, the solution for this situation results in n=16, rounded to the nearest whole number
