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Answer:
<u>2/5 < 5/8 < 6/7 < 1 </u>
<u>OR</u>
<u>1 > 6/7 > 5/8 > 2/5</u>
Step-by-step explanation:
It is required to compare Two-fifths, Six-sevenths, Five-eighths, and 1
Two-fifths = 2/5
Six-sevenths = 6/7
Five-eighths = 5/8
So, the given numbers are: 2/5, 6/7, 5/8, and 1
We need to make the numbers in order from the least to the greatest or from the greatest to the least
The easy method is convert the rational numbers to decimal numbers
So,
2/5 = 0.4
6/7 ≈ 0.857
5/8 = 0.625
1 = 1
So, the numbers form the least to the greatest are:
0.4 , 0.625 , 0.857 , 1
So,
2/5 , 5/8 , 6/7 , 1
The inequality correctly compares the numbers are:
<u>2/5 < 5/8 < 6/7 < 1</u>
Or can be written from the greatest to the least as:
<u>1 > 6/7 > 5/8 > 2/5 </u>
The "midpoint formula" is the same as the "average formula:"
x-coordinate of the midpoint = average of -2 and 10:
= (-2 + 10) / 2 = 4
y-coordinate of the midpoint = average of 3 and 3:
= (3+3) / 2 = 3
Thus, the midpoint of the given line segment is (4,3).
Answer:
(a) P(t) = 12100*(1.04^t)
(b) in 2008, estimate of population is 16560 (to the nearest integer)
Step-by-step explanation:
Population in 2000, P(0) = 12100
Growth rate = 4% each year
(a) function model for the t year after 2000 (exponential model)
P(t) = 12100*(1.04^t)
(b) for 2008,
P(2008-2000)
= P(8)
= 12100*(1.04^8)
= 12100 * 1.368569
= 16559.7
= 16560 (nearest integer)
