Question

Question #c895d

Answer 1

I got `7634`

Explanation:

Have a look:

So at `t=10` we get:
`y(10)=10,000e^(-0.027*10)=7633.79~~7634`

Answer 2

7627

Explanation:

Treat this the same way you do for compound interest. Only it is minus the percentage rather than plus

So `" "P(1+x)^n" becomes "P(1-x)^n`

Thus we have:

set `1-x" as "X` giving

`10000(X)^6=8500`

So we need to determine `X`

`(X)^6=8500/10000 = 0.85`

Taking logs:`" "` I choose the logs of `" "ln ->log_e`

`6ln(X)=ln(0.85)`

`ln(X)=ln(0.85)/6`

`X=ln^(-1)(ln(0.85)/6) =0.97327...`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
So for 10 days we have

`10000(0.97327...)^10 = 7627.195...`

Call this 7627

The 0.195.. means that those people are still alive but 'on the road' to death.