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G11 Gen. Math compound interest

Number 1: 15% to decimal 0.15
Given:
r^(12)=0.15
m=12

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same process for #2 & #3
substitute values 0.10 and 0.07 (sa unang sample na 0.15)
 

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padouble check sa answer sheet

#7 same steps pero annually naman given, monthly yung unknown

F1(annually) = F2(monthly)

(1 + 0.20) = (1 + [r ^(12)/12] )^12 (multiply both sides with 1/12)

(1.20)^(1/12) = 1 + [(r^12)/12]

(1.20)^(1/12) - 1 = (r^12)/12

[(1.20)^(1/12) - 1 ] 12 = r^12

answer x 100 = r^12

#8 same process semi annual=2

compound.jpg
 

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Last edited:
padouble check sa answer sheet

#7 same steps pero annually naman given, monthly yung unknown

F1(annually) = F2(monthly)

(1 + 0.20) = (1 + [r ^(12)/12] )^12 (multiply both sides with 1/12)

(1.20)^(1/12) = 1 + [(r^12)/12]

(1.20)^(1/12) - 1 = (r^12)/12

[(1.20)^(1/12) - 1 ] 12 = r^12

answer x 100 = r^12

#8 same process semi annual=2

View attachment 1748682
Salamat po ulit
 

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