Answer:
B) 4
Step-by-step explanation:
We can solve this by observing some pattern.
The powers ending in 4 as unit digit are:
The exponents form the sequence:
2,6,10,14,20,...
We need to check if 62 belongs to this sequence.
This is an arithmetic sequence with a common difference of 4 and a first term of 2.
The explicit formula is
We equate this to 62 and solve for n.
Since n is a natural number, 62 belongs to the sequence.
Hence
will have a unit digit of 4.
Answer:
2,7
Step-by-step explanation:
Answer:
the company should make 2307 muffins before the Average cost reaches $0.25/muffin
Step-by-step explanation:
the total cost of making the muffins is
Total cost = fixed cost + variable cost = $300 + $0.12 / muffin *Q
where Q = number of muffins
the average cost is
Average cost = Total cost / number of muffins = ($300 + $0.12 *Q) / Q = $300/Q + $0.12 / muffin
then for Average cost= $0.25/muffin
$300/Q + $0.12 / muffin = $0.25/muffin
Q = $300 / ( $0.25/muffin- $0.12 / muffin ) = 2307.69 muffins ≈ 2307 muffins ( we are rounding down since we want to find the number before the cost goes below 0.25)
then the company should make 2307 muffins before the Average cost reaches $0.25/muffin
