Answer:
A = -10.5
Step-by-step explanation:
To find the value of "A", you can plug x = 2 and f(x) = 3 into the equation. This will allow you to simplify and find the value of "A".
f(x) = 4x³ + Ax² + 7x - 1 <---- Original equation
3 = 4(2)³ + A(2)² + 7(2) - 1 <---- Plug x = 2 and f(x) = 3 into equation
3 = 4(8) + A(4) + 14 - 1 <---- Solve 2³ and 2²
3 = 32 + A(4) + 14 - 1 <---- Multiply 4 and 8
3 = 45 + A(4) <---- Combine like terms
-42 = A(4) <---- Subtract 45 from both sides
-10.5 = A <---- Divide by 4
If A = -10.5, the final equation would look like this:
f(x) = 4x³ - 10.5x² + 7x - 1
Answer:
the answer is 1100..........
Step-by-step explanation:
iiii9oiii hjix high. kkopoooh
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.
