Answer:
B. 24
Step-by-step explanation:
Since both triangles are similar, therefore,
GM/XD = AG/KX
(x - 2)/6 = (x + 9)/9
Cross multiply
9(x - 2) = 6(x + 9)
9x - 18 = 6x + 54
Collect like terms
9x - 6x = 18 + 54
3x = 72
Divide both sides by 3
x = 72/3
x = 24
Answer:
Part 1. 0.9259 % per year
Part 2. P = 281.4e^(0.009 259t); 338.6 million
Step-by-step explanation:
Data:
P₀ = 281.4 million
P = 308.7 million
Part 1. Growth rate
t = 2010 - 2000 = 10 yr
P = P₀e^(rt)
308.7 = 281.4e^(10r)
e^(10r) = 1.0970
10r = ln1.0970
r = (ln1.0970)/10 = (0.092 59)/10 = 0.009 259
r = 0.9259 % per year
The 10-year continuous growth rate is 0.9259 % per year.
Part 2. Population model
The population model is
P = 281.4e^(0.009 259t)
where P is in millions and t is the number of years since 2000.
By 2020,
P = 281.4e^(0.009 259 × 20) = 281.4e^0.1852 = 281.4 × 1.203
P = 338.6 million
The estimated population in 2020 is 338.6 million.
Hbbbbhhhhhhhhhhhhhhhhhhhhhhhhhhbbbb
Answer:
20 m :)
Step-by-step explanation: