Answer:
x = 18 or x = -12.
Step-by-step explanation:
||x-3|-5| = 10 only if |x-3|-5 = 10 or |x-3|-5 = -10, i.e., if |x-3|=15 or |x-3|=-5; but |x-3| cannot be equal to -5, because |x-3| should be a non-negative value. Therefore, the first equation is true only if |x-3|=15. |x-3| = 15 only if x-3 = 15 or x-3 = -15, i.e., x = 18 or x = -12. We can verify this in the following way: ||18-3|-5|=||15|-5|=|10|=10 and ||-12-3|-5|=||-15|-5|=|15-5|=|10|=10. This verify that our solution is correct.
Answer:
<u>Equation</u>: 
<u>The balance after 5 years is: $1742.43</u>
<u></u>
Step-by-step explanation:
This is a compound growth problem . THe formula is:

Where
F is future amount
P is present amount
r is rate of interest, annually
n is the number of compounding per year
t is the time in years
Given:
P = 1500
r = 0.03
n = 12 (compounded monthly means 12 times a year)
The compound interest formula modelled by the variables is:

Now, we want balance after 5 years, so t = 5, substituting, we get:

<u>The balance after 5 years is: $1742.43</u>
Answer:
C. 
Step-by-step explanation:
First, find the slope, m, of the line that passes through the two given points.
Slope = 
Next, determine the y-intercept, b.
The y-intercept is where the line intercepts the y-axis. The line intercepts the y-axis at y = 2. Therefore, b = 2.
Now, to get an equation of the line, substitute m = -1, and b = 2 in
.
✅The equation would be:

