Mathematics, 03.02.2021 14:00 jonystroyer1020

The price of Stock A at 9 A. M. was $12.95 Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $13.70. It begins to decrease at the rate of $0.13 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?

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Answer from: victoriapellam04

The prices of the two stocks will be the same in 1.56 hours.

Step-by-step explanation:

The price of Stock A at 9 A.M. was $12.95 Since then, the price has been increasing at the rate of $0.12 each hour.

This means that after x hours, the value of Stock A is:

$S_{A}(x) = 12.95 + 0.12x$

After noon:

Noon is 3 hours after 9 AM, so

$S_{A}(3) = 12.95 + 0.12*3 = 13.31$

So in x hours after noon, the value is given by:

$S_{A}(x) = 13.31 + 0.12x$

At noon the price of Stock B was $13.70. It begins to decrease at the rate of $0.13 each hour.

This means that after x hours, the value of Stock B is:

$S_{B}(x) = 13.70 - 0.13x$

In how many hours will the prices of the two stocks be the same?

This is x for which:

$S_{A}(x) = S_{B}(x)$

13.31 + 0.12x = 13.70 - 0.13x

0.25x = 0.39

$x = \frac{0.39}{0.25}$

x = 1.56

The prices of the two stocks will be the same in 1.56 hours.

Answer from: Quest

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

Answer from: Quest

step-by-step explanation:

no, her answer is not correct. we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306. this is not equal to the square of the longest side ( that square being 395. answer c is correct.

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