A stock valued at $100 decreases in value by 9.5% each year? What is the function?

The function which represents the situation is

Percentage decrease per year = 9.5%

= 9.5/100

= 0.095

f(x) = 100 - 0.095^x

Therefore, the function which represents the situation is f(x) = 100 - 0.095^x

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the function is y= 100-0.095x

Step-by-step explanation:

Step one:

given data

A stock valued at $100 decreases in value by 9.5%

let the number of years be x

Step two:

Hence, the rate of decrease is 0.095

therefore the function is

y= 100-0.095x

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1