Answer:
12 pencils in each package.
Step-by-step explanation:
Given:
Ethan bought 4 packages of pencils.
No of Packages = 4
No of pencils given to friend = 8 pencils
No of pencils left over =40 pencils
∴Total Number of Pencils = No of pencils given to friend + No of pencils left over =
Total Number of pencils in each package = 
We will evaluate both expressions step by step.
Sylvia's espression:
h + 0.05h
h: Original hat price.
0.05h: Increase of 5% due to sales tax.
Jin's expressions:
1.05h
h: Original hat price.
1.05: Factor for which you must multiply the original price to add 5% due to sales tax.
Answer:
The meet at first time at starting point after 336 seconds,
Vanu have completed 7 laps while Tanuj has completed 6 laps.
Step-by-step explanation:
Given that Venu and Tanuj take 48 seconds and 56 seconds to
complete a lap respectively.
To meet them again at the startiong point, the time taken must be multiple of 56 and 48.
So, the minimum time required to meet them again at the startiong point is time taken for first time meet.
Time taken to first time meet is the smallest number which can be divided by 56 and 48, i.e the lowest common factor (LCM) of 56 and 48 which is 336 seconds or 5 minutes 36 seconds.
Number of laps by Venu

Number of laps by Tanuj

We have that
Profit margin is calculated by finding the net profit as a percentage of the revenue
Profit margin = [Net profit / Revenue]
Net profit= [Revenue-Cost]
we know that
Revenue = $16.25 million
Cost = $13.5 million + $2.7 million
Net profit = [16.25 million - (13.5 million + 2.7 million)]
Net profit = $0.05 million
Profit margin = 0.05 / 16.25
Profit margin = 0.003077 or 0.3077%
Given:
House valued at $ 425,000
AAA Insurance: $0.38 per 100 with a $500 deductible
425,000 / 100 = 4,250
4,250 x 0.38 = 1,615 annual premium
Thompson’s insurance: $0.26 per 100 with a $1000 deductible
425,000 / 100 = 4,250
4,250 x 0.26 = 1,105 annual premium
If
an incident occurs that results to damage or loss to their home, the
couple shall shell out 500 before AA Insurance can take over payment for
expenses. On the other hand, the couple will shoulder 1,000 before
Thompson’s insurance take over payment for expenses in the event there
is an incident that results to damage or loss to their home.
c.
Thompson’s Insurance is cheaper even if Tara and Levi experience an
incident that results in severe damage or loss to their home.