Y = -7/6x + 10<br> slope =<br> y-intercept =

The price of Stock A at 9 A.M. was $15.03. Since then, the price has been increasing at the rate of $0.05 each hour. At noon

irina1246 [14]

After 1.842 hours the price of Stock A and Stock B will be the same using a set of linear equations.

A grouping of one or more linear equations containing the same variables is known as a system of linear equations.

For Stock A :

The initial price = $15.03

The rate of increase = $0.05

For Stock B :

The rate of decrease = $15.53

The rate of decrease per hour = $0.13

Then the price of stock A at noon will be:

$ 15.03 + $ (0.05 × 3) = $ 15.03 + $ 0.15 = $15.18

The period of time during which the stock price will remain constant:

15.18 + 0.05t = 15.53 - 0.14t

Simplifying the terms we get,

0.05t + 0.14t = 15.53 - 15.18

0.19t = 0.35

t = (0.35 ÷ 0.19) hours

t = 1.842 hours

Therefore, the stocks will be of equal price after 1.842 hours.

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3 0

1 year ago

Suppose the length of the diagonal of this rectangular television screen is 29 inches and the length of the base of the screen i

Romashka [77]

Answer: the height of the television screen is 20 inches

Step-by-step explanation:

The diagram of the rectangular television screen is shown in the attached photo. The rectangle is labelled as ABCD. The diagonal forms a right angle triangle, ABC. This means that angle B is 90 degrees. The height it labelled as h. To determine h, we will apply Pythagoras theorem. Pythagoras theorem is expressed as

Hypotenuse ^2 = opposite ^2 + adjacent ^2

From the diagram,

hypotenuse = 29 inches

Adjacent = 21 inches. Therefore,

29^2 = 21^2 + h^2

h^2 = 29^2 - 21^2 = 841 - 441

h = √400

h = 20 inches

3 0

3 years ago

tom opens a bank account and makes an initial investment of $500 the banker tells tom that he is going to recive and annula rate

aliya0001 [1]

Answer:

$950

Step-by-step explanation:

(500*6*15)/100 = 450 (applying the formula of simple interest)

450 + 500 ( adding the interest to the initial investment or princlple)

= 950 (bank balance after 15 years)

Hope this helps! :)

7 0

3 years ago

What is the solution to -10 x w = -50?<br> A. w = 10<br> B. w = 5<br> C. w = -5<br> D. w = -10

ZanzabumX [31]

The solution to the given equation is w = -5

<h3>Solving of expression</h3>

What is an Algebraic Expression? An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations

Given the expression below as shown;

-10w = 50

Divide both sides by -10

-10w/-10 = 50/-10

w = -5

Hence the solution to the given equation is w = -5

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4 0

2 years ago

In the library at lenape elmentary school, there are 3/8 as, many fiction books as there are nonfiction books. There are 44 book

N76 [4]

Answer:

12 fiction books.

Step-by-step explanation:

Let b represent number of non-fiction books.

We have been given that in the library at Lenape elementary school, there are 3/8 as many fiction books as there are nonfiction books. So number of fiction books would be $\frac{3}{8}x$ .