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erik [133]
3 years ago
8

Franklin deposits $3500 in an account that earns 3.5% interest compounded annually. What function equation represents the balanc

e of the account after t years?
Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0
So this problem can be solve using the formula:
F = P(1+i)^t
Where F is the balance account after t years
P is money deposited
i is the fraction interest rate  
F = 3500 (1+0.35)^t
<span>F = 3500 (1.35)^t is the function equation represents the balance of the account after t years</span>
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Answer:

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As we know from normal distribution: z(x) = (x - Mu)/SD

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Therefore using given data: Mu = 14, SD = 1.2 we have z(x) by using z(x) = (x - Mu)/SD as under:

Approach 1 using Standard Normal Distribution Table:

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P(13) using z(13) = -0.83 gives us P(13) = 20.327%

Finally in order to find out the probability between 17 & 13 years we have:

Percentage of armadillos between 13 and 17 years = P(17) - P(13) = 99.379% - 20.327% = 79.052%

The standard normal distribution table is being attached for yours easiness.

Approach 2 using Excel or Google Sheets:

P(17) = norm.dist(17,14,1.2,1)

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Percentage of armadillos between 13 and 17 years = { P(17) - P(13) } * 100

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