A Gilbert Lumber Company case, suppose today is January 1,2020 and your company, Maschera Corp has a loan with an APR of 18% whose principal is reduced by $4,000 on the last day of every month. The balance outstanding on this loan on December 31,2019(i.e. yesterday) was $389,000. Find the Total amount of Interest that Maschera will pay over the next calendar year, that is , over the next 12 months(Acceptable error = $200)
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Explanation:
48. (c): In AAJD and AAGE, ZGAE - ZDAJ [Common]
ZAGE = ZAJD AAJD - AAGE [Each 90°)
[By AA similarity] AG GE = AJ JD
Given, BF BF FC 3
=
In ΔΒΓ and BIC
ZHBF = ZCBI ZBHF = ZBIC
ABHF - ABIC HF BH BE
2
..(i)
[Common] [Each 90° [By AA similarity]
..(ii)
ICBC 5 Now, in rectangles ABHG and ABI) corresponding
sides are parallel and internal angles are 90°.
AG BH
= AJ BI
From (i), (ii) and (iii), we get GE HF 2
JD IC » JD 5 GE 2 5. GE and IC = HF
Now, DC = DJ + JI+ IC
5
2
5
GE + AB + HF
2
ЗАВ
2AB = 4 (GE + HF) 2
5 AB = GE + HF Also, EF = EG + GH + HF
4 5 AB + AB = 9 5 AB
5EF = 9AB = 9 19 (4DC) -
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