A town has a population of 17000 and grows at 4% every year. What will be the population after 12 years?

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.

3432532

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.