Answered

Find detailed and accurate answers to your questions on IDNLearn.com. Our experts are available to provide in-depth and trustworthy answers to any questions you may have.

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

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.