9514 1404 393
Answer:
a. One solution
Step-by-step explanation:
These are two linear equations with different x-coefficients. They have one solution.
__
<em>Additional comment</em>
If the x-coefficients are the same, the system may have 0 or infinite solutions, depending on the constants. It is not possible for a system of linear equations to have exactly two solutions.
-3|2x + 6| = -12
|2x + 6| = -12/-3 = 4
2x + 6 = 4 and 2x + 6 = -4
2x = 4 - 6 and 2x = -4 - 6
2x = -2 and 2x = -10
x = -2/2 and x = -10/2
x = -1 and x = -5
Here’s a chart to help you.
We'll need to assume that this is a case of compound interest which is paid once per year.
Then A = P (1 + r)^t becomes
$737.50 = $500 (1+0.095)^t
Then ($737.50/$500) = 1.095^t
Take the log of both sides. 0.1688 = log 1.095^t, or
0.1688 = t log 1.095 = t(0.0394)
Solving for t, t = 0.1688/0.0394 = 4.28 years
This comes out to 4 years and 28/100 of one year,
or 4 years and 3.36 months, or
4 years, 3 months and 11 days.
