Answer:

Step-by-step explanation:
First you have to find out the 3% of 900 (is 27)
then you add 27 to 900
then you multiply it by 3 years (36 months)
and your result is 33372 :)
Answer: Yes
Step-by-step explanation:
x = 3
y = -7
10x + 20y ≥ -3
10 (3) + 20 (-7) ≥ -3
30 + (-140) ≥ -3
30 - 140 ≥ -3
-110 ≥ -3
(3, 7) is a solution
I'm not sure about 2-3 but I am gonna say that 1 is (a) because of the gaps in the numbers and the gaps in the points on the graph.
the gap in 1st and 2nd numbers is a pretty big gap 2nd and 3rd gap not so big but 3rd and 4th again pretty good gap
Answer:

Step-by-step explanation:
The <em>Richter scale</em>, the standard measure of earthquake intensity, is a <em>logarithmic scale</em>, specifically logarithmic <em>base 10</em>. This means that every time you go up 1 on the Richter scale, you get an earthquake that's 10 times as powerful (a 2.0 is 10x stronger than a 1.0, a 3.0 is 10x stronger than a 2.0, etc.).
How do we compare two earthquake's intensities then? As a measure of raw intensity, let's call a "standard earthquake" S. What's the magnitude of this earthquake? The magnitude is whatever <em>power of 10</em> S corresponds to; to write this relationship as an equation, we can say
, which we can rewrite in logarithmic form as
.
We're looking for the magnitude M of an earthquake 100 times larger than S, so reflect this, we can simply replace S with 100S, giving us the equation
.
To check to see if this equation is right, let's say we have an earthquake measuring a 3.0 on the Richter scale, so
. Since taking 100 times some intensity is the same as taking 10 times that intensity twice, we'd expect that more intense earthquake to be a 5.0. We can expand the equation
using the product rule for logarithms to get the equation

And using the fact that
and our assumption that
, we see that
as we wanted.