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Gnom [1K]
3 years ago
5

Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
vaieri [72.5K]3 years ago
3 0

Add the ratios together:

5 + 2 + 1 = 8

Divide the length of NQ by that:

24/8 = 3

Multiply the ratio of NO by that/l

The ratio of NO is 5, 5 x 3 = 15

NO = 15

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Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your
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Answer:

Using the rule of 72, the doubling time is 9.35 years.

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Step-by-step explanation:

By the rule of 72, we have that the doubling time D is given by:

D = \frac{72}{Interest Rate}

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In our exercise, the interest rate is 7.7%. So, by the rule of 72:

D = \frac{72}{7.7} = 9.35.

Exact answer:

The exact answer is going to be found using the compound interest formula(since the rule of 72 is a simplification of this formula).

The compound interest formula is given by:

A = P(1 + \frac{r}{n})^{nt}

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

A = 2P

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Now, we apply the following log propriety:

\log_{a} a^{n} = n

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t = 8.89

The exact answer is that the doubling time is 8.89 years.

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3 years ago
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