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d1i1m1o1n
6 days ago
5

The yearly income for an individual with an associate’s degree in 2001 was $53,166 and in 2003 it was $56,970. What is the ratio

of the income in 2001 to the income in 2003 in simplest form?
Mathematics
2 answers:
lawyer [9.2K]6 days ago
8 0

Response:

\frac{8861}{9495}

Detailed explanation:

Income of an individual in 2001 = \$ 53,166

Income of an individual in 2003 = \$ 56,970

In this case, we aim to determine the ratio of income from 2001 to that from 2003 in its simplest form.

That is, we need to express \frac{\$53,166}{\$ 56,970} in simplest terms.

A fraction is considered to be in simplest form if \frac{a}{b}HCF(a,b)=1

Thus, we first find HCF(53166,56970) then divide both the numerator and denominator by the HCF.

Here,

53166=2\times 3\times 8861

56970=2\times 3\times 3\times 3\times 5\times 211

On dividing both numerator and denominator by 6, we getHCF(53166,56970)=2\times 3=6

Zina [9.1K]6 days ago
6 0

Response:

8861: 9495

Detailed explanation:

The income ratio for the years 2001 to 2003:

53,166: 56,970

To simplify, divide both sides by 6:

8,861: 9,495

This can't be simplified further, so that is the final result!

8861: 9495

I hope this helps! Have a great day:)

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You can utilize the Pythagorean theorem expressed as a^2 + b^2 = c^2... if b is unknown, you can rearrange the formula. Hence, c^2 - a^2 = b^2. Squaring 47 gives 2209 and squaring 13 yields 169... Subtracting gives you 2209-169, which results in 2040. Taking the square root of that yields approximately 45.166359, which can be rounded to 45 or as 45.167 when expressed to two decimal places. I hope this helps!:)

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