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miskamm [114]
3 years ago
10

An investment offers to double your money in 30 months (don’t believe it). What rate per six months are you being offered? (Do n

ot round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Business
2 answers:
Step2247 [10]3 years ago
6 0

Answer:

14.86% every 6 months

Explanation:

Let the original amount be a

An investment offers to double your money in 30 months i.e. 2a in 30 months

Fv = Pv (1 + x)ⁿ

Fv future value (i.e. future value of the cash flow after a particular time period. )

Pv Present value

x interest

n number of compounding period

Fv = Pv (1 + x)ⁿ

2a = a (1 + x)^(30/6)

2^(1/5)= 1 + x

1.1486 = 1 + x

x = 0.1486 0r 14.86%

kondaur [170]3 years ago
3 0

Answer:

The rate of change in 6 months is 14.87%

Explanation:

Let a be the amount that the money is multiplied in one month. We know that in 30 months it is multiplied by 2, so if we power a by 30 wew obtain 2:

a³⁰ = 2

Thus, 2 = a³⁰ = a⁶*⁵ = (a⁶)⁵

(here we use the propiety a^bc = (a^b)^c = (a^c)^b)

We can conclude that a⁶ = 2^(1/5) = 1.1487

The rate in 6 months is (1.1487-1)*100 = 14.87%

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