Answer:
P(0) = 7,917
Step-by-step explanation:
The population of the community is given by the following formula:

In which P(0) is the initial population and r is the growth rate.
The initial population P0 has doubled in 5 years.
This means that

Which lets us find r.



Applying the 5th root to both sides


So

Suppose it is known that the population is 12,000 after 3 years.
With this, we find P(0)





Answer:
1421/576
Step-by-step explanation:
Sum = - 13/8 + 5/12 = - 39/24 + 10/24 = - 29/24
Difference = - 13/8 - 5/12 = - 39/24 - 10/24 = - 49/24
Sum * Difference = (-29/24)*(-49/24) = 1421/576
Answer:
h = 7 + 6x
Step-by-step explanation:
Since we are trying to find the height of the tree, we put h on the left side of the equation. Since the tree is 7ft tall at the moment, we write 7ft on the right side of the equation. Knowing that the tree grows 6 inches each year (x) we write 6x on the right side of the equation.
Answer:
-33 or 33
Step-by-step explanation:
The seventh term of an AP is written as:

The eleventh term of an AP is written as:

If the 7th term is 11 times the 11th term, then;

Expand to get:





We must have a=-52 and d=5
Or
a=52 and d=-5
For the first case, the 18th term is :

For the second case,

Answer:
9:5 = 1428:x
ratios can also be written as fractions, so
9/5 = 1428/x
solve for x
9/5 × x = 1428
x = 1428 / (9/5)
x = 918