A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing

This Question is Closed

swiftskier96
 one year ago
Best ResponseYou've already chosen the best response.0How do you solve this?? N = 3,500e^(k * 9.5)

CalebBeavers
 one year ago
Best ResponseYou've already chosen the best response.1There's two variables...

swiftskier96
 one year ago
Best ResponseYou've already chosen the best response.0I know. Im supposed to solve for k. Does that help at least a little bit? @CalebBeavers

CalebBeavers
 one year ago
Best ResponseYou've already chosen the best response.1Hmm, start off by dividing both sides by 3500

swiftskier96
 one year ago
Best ResponseYou've already chosen the best response.0So it would be N/3,500 = e^9.5k? @CalebBeavers

CalebBeavers
 one year ago
Best ResponseYou've already chosen the best response.1Yeah, now take natural log of both sides

swiftskier96
 one year ago
Best ResponseYou've already chosen the best response.0So In(N/3,500) = 9.5k?

CalebBeavers
 one year ago
Best ResponseYou've already chosen the best response.1Yep, now just divide by 9.5

swiftskier96
 one year ago
Best ResponseYou've already chosen the best response.0So In(N/3,500)/9.5 = k?

swiftskier96
 one year ago
Best ResponseYou've already chosen the best response.0But the questions says to Use the function to find the value of the boat after 9.5 years. (Not this question, the question on my assignment.) Is that the boat value?

CalebBeavers
 one year ago
Best ResponseYou've already chosen the best response.1so it gives you the function N = 3,500e^(kt) ?

swiftskier96
 one year ago
Best ResponseYou've already chosen the best response.0Well it didnt give me that but i asked the question earlier and someone said to use that equation.

CalebBeavers
 one year ago
Best ResponseYou've already chosen the best response.1Hmmm. lets start over whats the original question and all the information it gives you?

swiftskier96
 one year ago
Best ResponseYou've already chosen the best response.014. The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years. Write an exponential function for the graph. Use the function to find the value of the boat after 9.5 years. @CalebBeavers

CalebBeavers
 one year ago
Best ResponseYou've already chosen the best response.1Hmm so \[\large f(t)=ae^{kt}\] use known information from the graph, say point (3,1500) the a is the value at the start so plug these in and solve for k \[1500=3500e^{3k}\] when you know k you can plug it back in to solve for the value at 9.5 years

swiftskier96
 one year ago
Best ResponseYou've already chosen the best response.0So if i plugged in 9.5 it would look like 1500 = 3500e^(3 * 9.5)?

CalebBeavers
 one year ago
Best ResponseYou've already chosen the best response.1No, we need to solve for k. t represents time, we know after 3 years it was 1500 so were plugging that in so we have one variable to solve for

swiftskier96
 one year ago
Best ResponseYou've already chosen the best response.0We need to solve for e?

CalebBeavers
 one year ago
Best ResponseYou've already chosen the best response.1e is eulers number, its a constant just solve for k in \[\large1500=3500e^{3k}\]

swiftskier96
 one year ago
Best ResponseYou've already chosen the best response.0Oh ok. So i would have to divide each side by 3500 right? That would give me 3/7 = e^3k. Then take the inverse of each side which would give me In(3/7) = 3k right?

CalebBeavers
 one year ago
Best ResponseYou've already chosen the best response.1Yep, now divide by 3

CalebBeavers
 one year ago
Best ResponseYou've already chosen the best response.1ln(3/7)/3=k now you know k, plug it back in along with the time you want to know which is 9.5 \[f(t)=3500e^{(\ln(3/7)/3)9.5}\]

swiftskier96
 one year ago
Best ResponseYou've already chosen the best response.0So is that my final answer? Or do i have to solve more of it?

swiftskier96
 one year ago
Best ResponseYou've already chosen the best response.0@CalebBeavers I dont want to bug you, but i have to log off soon and i really need to know if thats my final answer or what more i have to do.

CalebBeavers
 one year ago
Best ResponseYou've already chosen the best response.1My bad, i didnt even see the notification. if you plug the right hand side into a calculator it will give you the value of the boat after 9.5 years

swiftskier96
 one year ago
Best ResponseYou've already chosen the best response.0I did 3/7 = 0.42857142857142857142857142857143 then divided that by 3 and that equaled 0.14285714285714285714285714285714. Then i multiplied it by 9.5 and got 1.3571428571428571428571428571429. Then i pressed the In button and got 0.3053816495511818454864425669865. Is that right? Oh wait! Then do i do 3500e? The only thing is i dont see an e button on my calculator.

CalebBeavers
 one year ago
Best ResponseYou've already chosen the best response.1You should plug it all in at once. use this calculator and type it in like 3500e^((ln(3/7)/3)*9.5)) http://web2.0calc.com/

swiftskier96
 one year ago
Best ResponseYou've already chosen the best response.0Im trying but its being stupid. Either that or im stupid. I typed it all in and it wont let me press the = sign. When i do press it, it wont solve it.

CalebBeavers
 one year ago
Best ResponseYou've already chosen the best response.1Well it gives me 239.226

swiftskier96
 one year ago
Best ResponseYou've already chosen the best response.0Ok. Sorry. My computers stupid... lol Thanks for the help and being super patient!!!
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.