Answer: "12" .__________________________________ " x = 12 " .__________________________________
Explanation:
__________________________________
The TWO (2) angles:
Angle 1) "(10x − 20)° " ; AND:
Angle 2) " (6x + 8)° " ;
______________________________
form a "straight line" ; so by definition; ∡1 and ∡2 are supplementary angles; and as such, m∡1 and m∡2 add up to 180°.
We are asked to solve for "x" .
___________________________________
10x − 20 + 6x + 8 = 180 ;
Combine the "like terms" on the "left-hand side" of the equation:
_________________________________________
10x + 6x = 16x ;
- 20 + 8 = -12 ;
__________________________________________
Rewrite the equation:
16x − 12 = 180 ;
__________________________________________
Add "12" to both sides of the equation;
__________________________________________
16x − 12 + 12 = 180 + 12 ;
to get:
16x = 192 ;
_________________________________________
Divide EACH SIDE of the equation by "16" ; to isolate "x" on one side of the equation; and to solve for "x" ;
_________________________________________
16x / 16 = 192 ;
x = 12 .
<span>__________________________________________
</span>Let us check our answer, by plugging in "12" for "x" in the original equation:
__________________________________________
→ 10x − 20 + 6x + 8 =? 180 ? ;
→ 10(12) − 20 + 6(12) + 8 =? 180 ? ;
→ 120 − 20 + 72 + 8 = ? 180 ?
→ 120 − 20 = 100 ; 100 + 72 = 172; 172 + 80 =? 180 ? Yes!
__________________________________________________________
*******************************************************
(See attached formula)
Loan Principal = 104,000 - 24,000 = 80,000
rate = 8.5 / 1,200 =
<span>
<span>
<span>
0.0070833333
</span>
</span>
</span>
time = 25 years = 300 months
Monthly Payment = <span>
<span>
0.0070833333
</span>
+ </span><span>
<span>
[ 0.0070833333
/ ((1</span></span><span>.0070833333)^300 -1)) ] *principal
</span>
Monthly Payment = <span>0.0070833333
+ </span><span>
[ 0.0070833333
/ (</span><span>
</span>
<span>
<span>
<span>
8.3104129461
</span>
</span>
</span>
-1)] * 80,000
Monthly Payment = 0.0070833333
+
[ 0.0070833333
/ ( 7.3104129461)] * 80,000
Monthly Payment = (0.0070833333
+
<span>
<span>
<span>
0.00096893750767) * 80,000
</span></span></span>Monthly Payment =
<span>
<span>
<span>
0.00805227080767
</span>
</span>
</span>
* 80,000
Monthly Payment =
<span>
<span>
<span>
644.18
Source:
http://www.1728.org/calcloan.htm
</span></span></span>
Answer:
quotient=88
Step-by-step explanation:
32 ) 2 8 1 6 ( 8 8
2 5 6
- ____
256
256
-_____
0
The answer would be 100 because if you say it as a decimal you hear hundreths