Answer:
f(8) = 65
Step-by-step explanation:
Find a pattern in the sequence. It might be an <u>arithmetic sequence</u> (always adds or subtract by a certain number), or a <u>geometric sequence</u> (always multiplies or divides by a certain number).
To find a pattern in this decreasing sequence, we find either the common difference or the common divisor of each pair of consecutive numbers.
• 100 - 95 = 5
• 95 - 90 = 5
• 90 - 85 = 5
• 85 - 80 = 5
• 80 - 75 = 5
Now, we know that this is an <u>arithmetic sequence</u>, and the common difference is <u>5</u>.
To calculate f(8), we find the 8th term in the sequence. We can do that by counting the terms in the sequence and using the common difference, 5, that we found, to continue the sequence.
• f(1) = 100
• f(2) = 95
• f(3) = 90
......
• f(7) = 70
• f(8) = 65
Answer:
175(130)^t) < 1200
Step-by-step explanation:
The occupancy is 1200 so it must me less than 1200 (<1200)
the number of people in at any time is 100% of the people in or 1.00
and it increases by 30% or 0.30 (1.30)
And it starts with 175 people (1.75)
so
start people / How its increases / to the power of t / less than capacity
175 (1.30)
< 1200
Step-by-step explanation:
If 20 labourers=10 days
x labourers = 25 days
10x= 25×20

Cancelling out by 10 on both sides

Therefore, it takes 50 labourers to complete the work at the same rate in 25 days.
Answer:
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