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:
I think that 1 is the answer, thats what came out on my calculator.
Step-by-step explanation:
Answer:
£32 : £40
Step-by-step explanation:
sum the parts of the ratio, 4 + 5 = 9 parts
Divide the amount by 9 to find the value of one part of the ratio
£72 ÷ 9 = £8 ← value of 1 part of the ratio, then
4 parts = 4 × £8 = £32
5 parts = 5 × £8 = £40
Then
£72 in the ratio 4 : 5 is £32 : £40
Answer:
x = 16
∠A = 39
∠B = 54
∠C = 87
Step-by-step explanation:
Make a equation of all of the angles added together is equal to 180 since the angles of a triangle added together is 180
(4x-10)+(2x+7)+(7x-25)=180
combine like terms
4x+2x+7x-10+7-25 = 180
13x-28=180
solve for x
13x=208
x = 16
plug in x to find the measure of the angle
∠A = 2(16) + 7 = 39
∠B = 4(16) - 10 = 54
∠C = 7(16) - 25 = 87
Add them together to double check your answer
39 + 54 + 87 = 180
hope this helps
Assign x as the number of females.
Since makes are six times more: 6x is the male variable.
In total there are 7x students.
So the fraction for males is : 6/7
There's no way to simplify further because there's no term common to both the denominator/numerator.
Answer: 6/7
