Answer:
Nina's speed in MPH: 12.706 miles per hour
Nina is quicker than Sophia.
Step-by-step explanation:
To solve this problem, we will convert feet per second to miles per hour and subsequently compare Nina's speed to that of Sophia's.
Nina rides at 63360 feet in 3400 seconds. To perform this conversion, we know that there are 5280 feet in a mile and 3600 seconds in an hour. Applying these conversions, we can calculate the speed in miles per hour.
(63360 feet / 3400 seconds) * (1 mile / 5280 feet) * (3600 seconds / 1 hour) = 12.706 miles per hour.
Thus, it follows that Nina rides her bike at a rate of 12.706 miles per hour, whereas Sophia rides her bicycle at a rate of 10 miles per hour.
This indicates that Nina rides faster than Sophia by 2.706 miles per hour (12.706 - 10).
Cheers.
Response:
Based on the anticipated number of individuals completing the form to claim the refund, the company ought to foresee its net profit decreasing to:
- $174.6 per computer tablet.
Detailed explanation:
Initially, the profit per tablet is $180, but after initiating the rebate program, it is expected that 18% of purchasers will fill out the forms and obtain the VISA card, which will lower the profit as demonstrated below:
- Calculation of the reduced benefit for 18% of computer tablets = original benefit - refund amount.
- Reduced benefit for 18% of tablets = $180 - $30 = $150
From here, we find that 18% of tablets will yield a benefit of $150, while the other 82% will maintain a benefit of $180. To ascertain an overall figure for the benefit, we must compute it as follows:
- Total benefit = Percentage of reimbursed tablets * Benefit of reimbursed tablets + Percentage of non-reimbursed tablets * Benefit of non-reimbursed tablets.
- Overall profit = 18% * 150 + 82% * 180
- Overall profit = $174.6
Thus, after the $30 rebate on 18% of the tablets, the total benefit amounts to $174.6.
The correct choice is c because her earnings total $240.
