Tuesday

January 27, 2015

January 27, 2015

Posted by **victoria** on Wednesday, May 23, 2012 at 10:57am.

Suppose that the dealer, who is 25 years old, decides to sell the card at time , sometime in the next 40 years: 0< or equal to t < or equal to 40. At that time , he’ll invest the money he gets for the sale of the card in a bank account that earns an interest rate of r , compounded continuously. (This means that after years, an initial investment of will be worth Ie^(rt).) When he turns 65, he’ll take the money that’s in his bank account and begin to draw on it for his retirement. Let A be the amount of money in his account when he turns 65.

4. Write an expression for A(t), the amount of money in the dealer’s account when he turns 65 written as a function of t , the time at which he sells the baseball card.

- math -
**Steve**, Wednesday, May 23, 2012 at 12:10pmmoney from card sale at time t:

v(t) = Ce√(kt)

time left to draw interest: 40-t

A = Ce√(kt) * e^(r(40-t))

= Ce^(√(kt)+r(40-t))

**Answer this Question**

**Related Questions**

math - v(t)= Ce^(k(square root(t)) Suppose that the dealer, who is 25 years old...

calculus - Suppose that the dealer, who is 25 years old, decides to sell the ...

calculus - v(t)= Ce^(k(square root(t)) Suppose that the dealer, who is 25 years ...

Economics/Math - 3. Assume you own a painting. If you sold it now, you could get...

Statistic - A Toyota dealer wants to find out the age of their customers (for ...

English - 1. I will be 14 years old next year. 2. I shall be 14 years old next ...

Pre Cal(please show me the work) - At the show a basketball card dealer tells ...

business math - If Naomi decides that she will invest $3,000 per year in a 6% ...

Math - Could someone please help me with this math problem? This is what I have ...

English - Can you please help me complete the fill-in-the-blank activity, please...