Answer:
27,218
Step-by-step explanation:
After the first year, the population has grown by 4% of 17000, which is 0.04 times 17000 or 680. Therefore, the new population is 17000 + 680 or 17680.
After the second year, the population has grown by 4% of 17680, which is 0.04 times 17680 or 707.2. Of course, there's no such thing as 0.2 of a person, but we're just approximating, so that's ok. That brings the new total to 17680 + 707.2, which is 18387.2.
We could keep doing this for 12 years, but there's a shortcut. Since we're adding 4% each year, the new population is 104% of the old population. Therefore, we are multiplying by 104% each year. 104% is the same as 1.04. If we multiply 17000 by 1.04 12 times, we have something like this:
17000 * 1.04 * 1.04 * 1.04 * .... * 1.04
Another way to write that is using powers or:
17000 * 1.04^12
which gives us 27217.54, which we can round to 27,218 people.
There is many things including money, golds, silver
Answer: x only can have complex values, not real values.
x = -1/4 - 1/4i and x = -1/4 + 1/4 i
Explanation:
Finding the possible values of x in the expression given is solving the quadratic equation.
8x² + 4x = - 1
Rearrange the terms:
8 (x² + x/2) = - 1 ← common factor 8 in the left side
x² + x/2 = - 1/8 ← division property
x² + x/2 + 1/16 = - 1/8 + 1/16 ← addition property
(x + 1/4)² = -1/8 + 1/16 ← -factor the perfect square trinomial in the left side
(x + 1/4)² = - 1/16 ← add the fractions in the right side
x + 1/4 = (+/-) √ (-1/16) ← square roots on both sides
x + 1/4 = (+/-) (1/4)i ← complex solution
x = - 1/4 +/- 1/4i
x = - 1/4 - 1/4i and x = - 1/4 + 1/4 i ← answer
The answer to this problem is c<span>0<span>m<span>100</span></span></span>
True, 15k and 3 is the same and greater than