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write a function in terms of t that represents the situation. A stock valued at $100 decreases in value by 9.5 % each year.

y =

Sagot :

Elizabethfolk2005idn
Y=100^0.095t. Hope thats right.

Exponential decay function describes the process of reducing an amount by constant percentage rate over a period of time.. Thus the function in terms of t that represents the given situation is,

[tex]y=100(-8.5)^t[/tex]

Given information-

The value of the stock is $100.

The value of stock decreases by 9.5% each year.

Exponential decay function-

Exponential decay function describes the process of reducing an amount by constant percentage rate over a period of time.

The initial value of the stock was $100 and the decay rate is 9.5 percent per year.

The exponential decay function can be given as,

[tex]y=a(1-r)^t[/tex]

Here [tex]a[/tex] is the initial value, r is the decay rate and t is the number of time interval.

Put the values,

[tex]y=100(1-9.5)^t[/tex]

[tex]y=100(-8.5)^t[/tex]

Thus the function in terms of t that represents the given situation is,

[tex]y=100(-8.5)^t[/tex]

Learn more about the exponential decay function here;

https://brainly.com/question/4119784

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