Answer:
A) 63.36 years.
B) 100.42 years.
Step-by-step explanation:
We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.
A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.
Now let us solve for t using logarithm.
Therefore, it will take 63.36 years the population to be double.
B) Now we will find the number of years it will take the population to be triple of its size.
Now let us solve for t using logarithm.
Therefore, it will take 100.42 years the population to triple of its size.
We have a square garden of 400 square foot.
The area of a square is:
where x: side length.
In this case:
![\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D400%3Dx%5E2%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B400%7D%3D20%5Ctext%7B%20ft%7D%20%5Cend%7Bgathered%7D)
The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:
The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:
The fencing will be installed in all the perimeter (80 ft).
We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):
Answer: the fencing will cost a total of $128.40
Answer:
x = 1
Step-by-step explanation:
f(x) = 3 or y = 3
Locate y = 3 on the y- axis , go horizontally across to meet the line at (1, 3 )
Then
When f(x) = 3 , x = 1
we have
10 3/11 + 3 9/11=(10+3)+(3/11+9/11)=13+(12/11)=13=(13=(
Answer:
x<6 this is the answer because the circle is hallow (not including) and going left (less than)
