Answer:
To enhance availability by 5%, the downtime due to repairs or reboots needs to drop by 600 hours
Step-by-step explanation:
Increasing availability to 5% involves multiplying the current availability hours by 105%.
Thus, 1.05 × 12000 = 12600 hours
Consequently, the repair/reboot duration must be lessened by 600 hours.
This is due to the distinct properties of logarithms in comparison to algebra. The expression log(3x - 1) is interpreted as log 3x divided by log 1. If we proceed with rearranging and solving for x, we arrive at: log(3x - 1) = log28, log 3x/log 1 = log 28, resulting in log 3x being equal to log 28 multiplied by log 1 which equals 0. Thus, 3x = 10⁰ = 1, leading to 3x = 1 and x = 1/3. Therefore, it follows that 3x - 1 equals 3(1/3) - 1 = 0.
The ratio of total members in the group stands at 5:7, meaning that among every 7 members, there are 5 men and 2 women. We can set it up as a proportion: 5:7 = x:735, leading to the equation 5/7 = x / 735. By cross-multiplying, we get 7*x = 5 * 735, simplifying to 7*x = 3675. Dividing this by 7 results in x = 525. Therefore, there will be 525 men in total.
Answer:
x≥(500-87)/40
Step-by-step explanation:
You require 500 lbs and you're starting with 87, so you must acquire at least 413 bags. Since they are sold in 40 pound bags, you divide by 40. You must round up to ensure you have enough bags to meet the 500 lbs needed.
$8,400
Explanation:
Monthly repayment = $150
Total Months of repayment = 10 months
Remaining balance after 10 months = $6900
Cumulative payment = $150 × 10 = $1500
Balance remaining = $6900
Overall debt amount:
(Remaining amount + total repaid)
$(6900 + 1500)
