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andrey2020 [161]
3 years ago
13

What rate of interest compounded annually is required to triple an investment in 10 years?

Mathematics
1 answer:
Trava [24]3 years ago
8 0

Answer:

The interest rate should be 11.6%.

Step-by-step explanation:

Let us assume that at r% rate of interest compounded annually is required to triple an investment of $P in 10 years.

So, using the formula of compound interest, we can write

3P = P(1 + \frac{r}{100})^{10}

⇒ 3 = (1 + \frac{r}{100})^{10}

⇒ (1 + \frac{r}{100}) = 1.116

⇒ \frac{r}{100} = 0.116

⇒ r = 11.6 %

Therefore, the interest rate should be 11.6%. (Answer)

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Step-by-step explanation:

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Suppose that S is the set of successful students in a classroom, and that F stands for the set of freshmen students in that clas
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Answer:

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

We have that n(S) is the number of succesful students in a classroom.

n(F) is the number of freshmen student in that classroom.

We have that:

n(S) = n(s) + n(S \cap F)

In which n(s) are those who are succeful but not freshmen and n(S \cap F) are those who are succesful and freshmen.

By the same logic, we also have that:

n(F) = n(f) + n(S \cap F)

The union is:

n(S \cup F) = n(s) + n(f) + n(S \cap F)

In which

n(S \cup F) = 58

n(s) = n(S) - n(S \cap F) = 54 - n(S \cap F)

n(f) = n(F) - n(S \cap F) = 28 - n(S \cap F)

So

n(S \cup F) = n(s) + n(f) + n(S \cap F)

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n(S \cap F) = 24

So the correct answer is:

b) 24

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5456 sq. inches

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