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Fudgin [204]
3 years ago
12

HELP!!

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
7 0
I=prt,,60=400*0.05t,,t=3 ..................
Tresset [83]3 years ago
5 0

Answer:  The correct option is (B) 3.

Step-by-step explanation:  Given that Lily  just paid off a $400 loan. She had to pay $60 in interest at a simple annual interest rate of 5%.

We are to find the number of years for which Lily had this loan.

Let n be the required number of years.

Also, P = $400, S.I. = $60 and r% = 5%.

Therefore, by the formula of simple interest, we have

S.I.=\dfrac{Prn}{100}\\\\\\\Rightarrow 60=\dfrac{400\times5\times n}{100}\\\\\\\Rightarrow n=\dfrac{60}{20}\\\\\\\Rightarrow n=3.

Thus, the required number of years is 3.

Option (B) is CORRECT.

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The rectangle below has an area of 70y⁸ 30y⁶. The width of the rectangle is equal to the greatest common monomial factor of 70y⁸
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Answer:

The Width of the Rectangle =10y^6

\text{Length of the Rectangle}=210y^8

Step-by-step explanation:

The area of the rectangle =70y^8 30y^6.

We are told that the width of the rectangle is equal to the greatest common monomial factor of 70y^8 \: and\: 30y^6.

Let us determine the greatest common monomial factor of 70y^8 \: and\: 30y^6.

Express each term as a product to pick out the common factors:

70y^8 =7X10Xy^6Xy^2\\30y^6=3X10Xy^6

In the two terms, the common terms are 10 and y^6. Therefore their greatest monomial factor =10y^6

The Width of the Rectangle =10y^6

Recall: Area of a Rectangle =Length X Width

70y^8 30y^6=Length X 10y^6\\Length =70y^8 30y^6 \div 10y^6 \\=\dfrac{70X30Xy^8Xy^6}{10y^6} =210y^8\\\text{Length of the Rectangle}=210y^8

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