Homework Help: Math

Posted by Wally on Sunday, February 19, 2012 at 5:04pm.

Can you help me set up this problem please

P(t) = 100/1+48.2e^-0.52t

If the company's claim is true, how many months will it take to have mastered 80% of the program.

I just need help setting it up

Thanks!

Math - Reiny, Sunday, February 19, 2012 at 5:26pm
I will assume you meant

P(t) = 100/(1+48.2e^(-.52t) )

You did not define P(t), but I will assume it will be the
"efficiency" mastered after t months
so .....

.8 = 100/(1 + 48.2e^(.52t))
.8 + 38.56e^(.52t) = 100
e^(.52t) = (100-.8)/38.56 = 2.572614
taking ln of both sides, and knowing that ln e = 1
.52t = ln (2.572614)
t = 1.817 or appr 1.8 months

check:
let t=1.817
P(1.1817) = 100/(1 + 48.2e^(.52(1.817)
= 0.8

Answer this Question

Related Questions

math - An actuary at an insurance company estimates from exsiting data that on a...
statistical reasioning - An actuary at an insurance company estimates from ...
Algebra problem - set up done - quick guidance - The ratio of men to women at a ...
accounting - A company has an insurance policy for fifty thousand dollars that ...
Statics - A random sample of 100 cans of peaches has an observed mean weight of ...
math - The region R, is bounded by the graphs of x = 5/3 y and the curve C given...
Math - Bhu had $48, but received $100 as a birthday gift and used the money to ...
Math - Solve this problem using the simplex method. A company manufactures ...
statistics - This table shows claims and their probablity for an insurance ...
Algebra - How do I set up and solve this problem? 100% acid is to be added to 10...

For Further Reading

First Name:
School Subject:
Answer: