October 9, 2015

Homework Help: Exp. Growth + Decay (HELP ME PLEASE!)

Posted by Chopsticks on Sunday, March 1, 2009 at 10:59pm.

1. Suppose you invest $1,000 in a CD that is compounded continuosly at the rate of 5% annually. What is the value of this investment after one year? two years? five years?

A=1000(e^(.5x1)) = 1648.72
A=1000(e^(.5x2)) = 2718.28
A=1000(e^(.5x5)) = 12182.49

2. A colony bacteria is growing at ar ate of 50% per hour. What is the approximate population of the colony after one day if the initial population was 500


I am confused on this one.

3. Suppose a glacier is melting proportionately to its volume at the rate of 15% per year. Approximately what percent opf the glacier is left after ten years if the initial volume is one million cubic meters?

I have no idea how to do this one either. I know this is expo decay though.

4. A snowball is rolling downa snow covered hill. Suppose that at any time while it is rolling down the hill, its weight is increasing proportionately to its weight at a rate of 10% per second. What is its weight after 10 seconds if its weight initailly was 2 pounds? after 20seconds? after 45seconds? after 1 minute? What limitations might exist on this problem?

I have no clue on this one at all. Please help me start this out.

Can you please check if I did my first problem right aswell? Thanks.

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