Answer:
38,500
Step-by-step explanation:
162/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6
1/6 of the original population was ...
1/6 × 30,000 = 5,000
So the population at the end of 1990 was
30,000 +5,000 = 35,000.
In 1991, 10% of that number was added, so the population at the end of 1991 was ...
35,000 + 0.10×35,000 = 38,500
Answer:
Step-by-step explanation:
From the given information, it will make a right triangle, in which hypotenuse = the length of the string = 100 feet
Let x denote the the height of the kite above the ground.
By trigonometry,

Hence, the height of the kite above the ground = 45.26 feet.
Since the hand is 3 feet above the ground height is ≅ 45
Answer:
Answer is 86.625
Step-by-step explanation:
I hope it's helpful!!
X-2 for x=-3
-3-2=-5, add dem negatives
Answer:
-103
Step-by-step explanation:
So we have the sequence:
14, 11, 8, 5...
First, note that this is an arithmetic sequence because there is a common difference.
Each subsequent term is three less than the previous term.
To find the 40th term, we can write an explicit formula.
The standard form for an explicit formula for an arithmetic sequence is:

Where a is the initial term, d is the common difference, and n is the nth term.
We know that the initial term is 14. The common difference is -3 because each term is <em>minus</em> 3 the previous one.
Substitute in a and d:

We want to find the 40th term. So, substitute 40 for n:

Subtract:

Multiply:

Subtract:

So, the 40th term is -103.