<h2>
Range of x </h2><h3>
and x>6</h3><h3>
Step-by-step explanation:</h3>
Given AB = 4x + 5, BC = 3x - 2 and AC 9x -5
The sum of the length of any two sides of a triangle is greater than the length of third side.
Case I
AB + BC > AC
⇔4x +5 +3x -2 > 9x -5
⇔7x + 3 >9x - 5
⇔ 7x -9x > -5 -3
⇔-2x > -8
⇔x <4
Case II
if AB+AC > BC
4x +5 +9x -5> 3x -2
⇔13x >3x -2
⇔ 13x -3x> -2
⇔10x > -2
⇔x >
Case III
AC+BC > AB
⇔9x - 5 +3x - 2 > 4x +5
⇔6x -7 > 4x +5
⇔6x -4x >5+7
⇔2x > 12
⇔x > 6
After 6 months, ammount left to pay = $1,840.34
On the seventh month, he payed of the debt with the interest (for one month).
Amount paid off at the seventh month = 1840.34(1 + 0.09/12) = 1840.34(1.0075) = 1854.14
Amount to have paid in the remaining 6 months = 314.83 x 6 = 1888.98
Amount saved = 1888.98 - 1854.14 = $34.84
Answer:
option B
Step-by-step explanation:
Rule:output=input -2
LEts analyze the table
we use the input and apply the rule to get the output
LEts subtract 2 from input to get the output
Input Rule (input -2 ) Output
-3 -3-2 -5
-7 -7-2 -9
6 6-2 4
Option B matches with our table
Answer:
The nearest time is 15 years or 180 months
