Answer:
6.0 miles
Step-by-step explanation:
The sequence of distances is a geometric sequence with first term a1 and common ratio (1 +10%) = 1.10. The sum of 7 terms of the sequence is ...
S7 = a1·(r^7 -1)/(r -1)
56.923 = a1·(1.1^7 -1)/(1.1 -1)
5.6923 = a1·0.9487171
Dividing by the coefficient of a1 gives its value:
5.6923/0.9487171 ≈ 5.999997 ≈ 6.000
The hiker traveled 6.0 miles on the first day.
Answer:
2x - 10
Step-by-step explanation:
2(x - 5)
distribute
2*x - 2*5
2x - 2*5
2x - 10
Answer:
Faction of population = 1.39 / 7.2
Percentage of population = 19.3% (Approx.)
Step-by-step explanation:
Given:
China's population in 2014 = 1.39 billion (Approximately)
Find:
Compare China's population to world population
Computation:
World's population in 2014 = 7.2 billion (Approximately)
Faction of population = China's population in 2014 / World's population in 2014
Faction of population = 1.39 / 7.2
Percentage of population = [China's population in 2014 / World's population in 2014]100
Percentage of population = [1.39/7.2]100
Percentage of population = [0.193]100
Percentage of population = 19.3% (Approx.)
Answer:
-1/8
Step-by-step explanation:
Perpendicular slopes are negative reciprocals
The slope of y=8x+5 is 8, because it is in slope intercept form: y=mx+b form, where m is the slope.
Negative:
8/1--> -8/1
Reciprocal:
Flip the numerator and denominator
-8/1--> -1/8
So, the perpendicular slope of 8 is -1/8
Answer:
Step-by-step explanation:
We are given the following in the question:
Number of locusts on first day = 4600
Gain in locust population every 2.4 days =

Thus, we can write the following function to model locust population in t days.

is the required function.
L(t) is a dependent function on t, L(t) is locusts population and t is amount of time in days.