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3 years ago

3. Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support

Mathematics

1 answer:

7nadin3 [17]3 years ago

3 0

Answer: b=2(square root of 2) and a=4

Step-by-step explanation:

Since this is a 45-45-90 triangle we know that side b is equal to $b=2\sqrt{2}$ .

In a 45-45-90 triangle, the hypotenuse is equal to $x\sqrt{2}$ this means in order to find missing side length a, we have to multiply $(2\sqrt{2})(\sqrt{2})$ this will give us 4

so the missing side lengths are, $b=2\sqrt{2}$ and $a=4$

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3 years ago

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Using compound interest, the rates per compounding period are given as follows:

a) 0.1273 = 12.73%.

b) 0.0833 = 8.33%

c) 0.0617 = 6.17%

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

In which:

A(t) is the amount of money after t years.

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 year.

The <u>interest rate per compounding period</u> is given as follows:

$\left(1 + \frac{r}{n}\right)^n - 1$

For item a, the parameters are:

r = 0.12, n = 52.

Hence:

$\left(1 + \frac{0.12}{52}\right)^{52} - 1 = 0.1273$

For item b, the parameters are:

r = 0.08, n = 104.

Hence:

$\left(1 + \frac{0.08}{104}\right)^{104} - 1 = 0.0833$

For item c, the parameters are:

r = 0.06, n = 12.

Hence:

$\left(1 + \frac{0.06}{12}\right)^{12} - 1 = 0.0617$

More can be learned about compound interest at brainly.com/question/25781328

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