The answer is 34 have a good day
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<span>Bart and April are purchasing a house with a 15-year, 2/1 ARM for $315,000 at 5.85% with a 2/8 cap structure. What will the difference in payments be from year 2 to year 3?
$333.68 </span>
Step One
Show that ΔADC ≡ ΔACB are similar Maybe ≡ this might mean congruent, I'm not sure. I want similarity.
A is common to both triangles.
<ADC = <ACB Both angles are right angles.
Conclusion
ΔADC is similar to ΔACB Angle Angle theorem which is enough to declare similarity.
Step Two
Find AB
Set up a proportion.
AD/AC = AC/AB corresponding parts of similar triangles bear the same ratio.
Substitute and solve for AB
2/5 = 5/AB Cross multiply
2AB = 25 Divide by 2
AB = 13/2
AB = 6.5
Step Three
Now you need the height of the triangle (CD)
That's just a^2 + b^2 = c^2
a = 2
c = 5
b = ???
2^2 + b^2 = 5^2
4 + b^2 = 25 Subtract 4 from both sides.
b^2 = 25 - 4
b^2 = 21
b = sqrt(21)
Step 4
Find the area.
A = 1/2 b*h
h = sqrt(21)
b = 6.5
Area = 1/2 6.5 * sqrt(21)
Area = 14.89
Answer:
(-4,3), (-4,-3), (-4,3), (-8,6)