For numbers 11-12,use the following values:F=150,000,t=6 years,i²=5% and m=2
[tex]show \: your \: solution[/tex]
11.What is the present value?
a.₱100,353.83
b.₱111,533.38
c.₱123,153.83
d.₱132,531.38
12.How much is the compound interest?
a.₱49646.17
b.₱38466.62
c.₱26846.17
d.₱17468.63
Answers & Comments
Verified answer
Present Value and Compound Interest
Compound interest is based on the principal plus the accumulated past interests. Interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. An important concept in understanding and managing finances .It can help earn a higher return on savings and investments. It can also work against when paying interest on a loan.
Answers:
11. B. ₱111,533.38
12. B. ₱38466.62
Solutions:
11. Asked: The present value.
Given: F = 150,000
t = 6 years
i² = 5%
m = 2
Operation: finding the present value
Number Sentence: P =![\frac{F}{(1 + r)^t} \frac{F}{(1 + r)^t}](https://tex.z-dn.net/?f=%5Cfrac%7BF%7D%7B%281%20%2B%20r%29%5Et%7D)
Solution: P =![\frac{F}{(1 + r)^t} \frac{F}{(1 + r)^t}](https://tex.z-dn.net/?f=%5Cfrac%7BF%7D%7B%281%20%2B%20r%29%5Et%7D)
P =![\frac{150000}{(1 + .05)^6} \frac{150000}{(1 + .05)^6}](https://tex.z-dn.net/?f=%5Cfrac%7B150000%7D%7B%281%20%2B%20.05%29%5E6%7D)
P =![\frac{150000}{(1.05)^6} \frac{150000}{(1.05)^6}](https://tex.z-dn.net/?f=%5Cfrac%7B150000%7D%7B%281.05%29%5E6%7D)
P =![\frac{150000}{1.345} \frac{150000}{1.345}](https://tex.z-dn.net/?f=%5Cfrac%7B150000%7D%7B1.345%7D)
Answer: ₱111,533.38
12. Asked: The compound interest.
Given: F = 150,000
t = 6 years
i² = 5%
m = 2
Operation: finding the compound interest
Number Sentence: I_c = F - P
Solution: I_c = F - P
I_c = ₱150000 - ₱111533.38
Answer: ₱38466.62
How to compute for the present value: brainly.ph/question/895652
How to compute for the compound interest: brainly.ph/question/7028385
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