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Alex17521 [72]
3 years ago
15

X % of $5 = $4 Please help

Mathematics
1 answer:
ASHA 777 [7]3 years ago
4 0
Answer: 80%

Explanation 4/5=.8
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In this exercise we have to use the knowledge of geometric progression to find three specific numbers, in this way we can say that these numbers correspond to;

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a1*r + 2 - a_1 = a_3 - (a_1*r + 2) = a_1*r^2 - (a_1*r + 2)\\a_1*r^2 - 2*a_1*r + a_1 - 4 = 0

and now, when we increase the third term by 9,so we have:

(a_1*r^2 + 9)/(a_1*r + 2) = (a_1*r + 2)/a_1\\(a_1^2*r^2 + 9*a_1)/(a_1*r + 2) = a_1*r + 2\\a_1^2*r^2 + 9*a_1 = (a_1*r + 2)^2 = a_1^2*r^2 + 4*a_1*r + 4\\4*a_1*r - 9*a_1 + 4 = 0\\9*a - 4 = 4*a_1*r\\r = (9*a_1 - 4)/(4*a_1)

Now we use that identity in the first equation :

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The general solution for a quadratic equation is

(-b + \sqrt{(b^2 - 4ac))/(2a)

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so, put the numbers in the formula we find:

a_1=4 \\a_1=0.16

See more about geometric progress at brainly.com/question/14320920

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