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3 years ago

6

rectangular stained glass window is 2 feet by 4 feet. A clear glass border is constructed around the stained glass window. The w

idth of the border is equal and was made out of 7 square feet of clear glass. What is the width of the border?

1 answer:

Mice21 [21]3 years ago

7 0

S=2(4x+2x)+4x^2=4x^2+12x

4x^2+12x=7
4x^2+12x-7=0
D=12^2-4x4x(-7)=256
X1=(-12-16)/(2x4)=-3.5 impossible
X2=(-12+16)/(2x4)=0.5

A

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Juan invest $3700 in a simple interest account at a rate of 4% for 15 years

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<em><u>Question:</u></em>

Juan Invest $3700 In A Simple Interest Account At A Rate Of 4% For 15 Years. How Much Money Will Be In The Account After 15 Years?

<em><u>Answer:</u></em>

There will be $ 5920 in account after 15 years

<em><u>Solution:</u></em>

<em><u>The simple interest is given by formula:</u></em>

$S.I = \frac{p \times n \times r }{100}$

Where,

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n is number of years

r is rate of interest

From given,

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$S.I = \frac{3700 \times 4 \times 15 }{100}\\\\S.I = 37 \times 4 \times 15\\\\S.I = 2220$

<em><u>How Much Money Will Be In The Account After 15 Years?</u></em>

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Read 2 more answers

A survey was conducted among 1000 people. Of these 595 are Democrats, 595 wear glasses and 550 like ice-cream; 395 of them are D

GREYUIT [131]

The number of people who are not Democrats , do not wear glasses, and don not like ice-cream by using sets are 155 people and the number of people who are democrats, not wearing glasses and do not like ice cream are 150 people.

Given total people of 1000 people, 595 democrats, 595 wearing glasses, 550 like ice cream, 395 of them are democrats who wear glasses,350 of them are democrats who like ice cream and 400 of them wear glasses as well as like ice cream ,250 of them are democrats as well as wear glasses and like ice cream.

We have to find the number of people who are not democrats , do not wear glasses ,do not like ice cream and the number of people who do not wear glasses and do not like ice cream.

let X shows the number of democrats and G be number of people who wear glasses and I be the number of people like ice cream.

So,

D=595, G=595 AND I=550

Now D∩G=395

D∩I=350

G∩I=400

so D∩G∩I=250

Formula will be :

D∪G∪I=D+G+I-(D∩G)-(G∩I)-(D∩G)+(D∩G∩I)

=595+595+550-(395+350+400)+250

=845

845 are either democrats or wear glasses as well as like ice cream.

So 1000-845=155

Number of people who are democrats, do not wear glasses and do not like ice cream=D-(D∩G)-(D∩I)+(D∩G∩I)

=595-(395+300)+250

=845-695

=150 people.

Hence the number of people who are not Democrats , do not wear glasses, and don not like ice-cream are 155 people and the number of people who are democrats, not wearing glasses and do not like ice cream are 150 people.

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