Thursday

August 28, 2014

August 28, 2014

Posted by **Gina** on Saturday, December 18, 2010 at 1:07pm.

- calculus -
**Damon**, Saturday, December 18, 2010 at 6:50pmr = interest percent/100

dy/dt = r y

y = a e^kt

dy/dt = ak e^kt = r a e^kt

r = k

so

y = a e^rt

note when t = 0, y = a the original deposit

18500 = a e^(.07*10)

ln (18500/a) = .7

ln 18500 - ln a = .7

9.83 - .7 = ln a

ln a = 9.1255

a = 9186.83

check y = 9187 e^(.7)

y = 18500 check

**Related Questions**

calculus - 3. A deposit of ___(i)___is made into an account paying an interest ...

algebra - $7,000 is invested into two accounts: 4,000 into an account paying 5% ...

math - how would you write an equaton if you deposit $3200 into an account that ...

Finance - You can deposit 10,000 into an account paying 9% annual interest ...

math - you deposit $2200 in an account that pays 3% interest, after 15 years you...

math - you deposit $2200 in an account that pays 3% annual interest. after 15 ...

finance - 14. Assume Julian has a choice between two deposit accounts. Account A...

math - Suppose that you have $12,500 to invest over a 4 year period. There are ...

Finance - You receive $12,000 and looking for a bank to deposit the funds. Bank ...

Finance - You receive $12,000 and looking for a bank to deposit the funds. Bank ...