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.
Answer:
y = 7/2x -11/2
Step-by-step explanation:
7x-2y=11
Subtract 7x from each side
7x-2y -7x = -7x+11
-2y = -7x+11
Divide each side by -2
-2y/-2 = -7x/-2 +11/-2
y = 7/2x -11/2
Use the arithmetic operations to get the variable x on one side of the equation and everything else on the opposite side.
If something is being is being done to a variable, we undo that operation by using the inverse of that operation.
For example, if 10 is being added to x, we use the inverse of addition or subtraction.
18 - 7x = -20.5
We variable x is being multiplied by 7 and is subtracting 18. We need to undo all those operations.
18 - 7x = -20.5
-7x = -38.5
Now the variable is only being multiplied by -7. Reverse the operation.
-7x = -38.5
x = 5.5
So, x is equal to 5.5.
Answer:
4 Pints
Step-by-step explanation:
According to the scenario, calculations are as follows,
As we know, 1 gallon = 8 Pints
1 Quarts = 2 Pints
So, Amelia = 3 Gallons = 3 × 8 Pints = 24 Pints
Mason = 10 quarts = 10 × 2 Pints = 20 Pints
So, Number of more pints Amelia has = Amelia number of pints - Mason number of pints
= 24 pints - 20 pints
= 4 Pints
