hey, i haven't been for quite a while
1. If you invest $100 at 2% per day, compounding daily, the amount of money you would have after x days is given by y=100(1.02)^x. For how many days would you have to invest to double your money.
2. How would you go about sketching 2* 10^(x/10)+4?
3. y=2^x, y=3^x and y= 5^x
i. For what of value of x is 2^x > 3^x > 5^x
ii. For what value of x is 2^x < 3^x < 5^x
iii. For what value of x is 2^x = 3^x = 5^x
is roughly 35, in other words, 35 days.
Let x = 0
Then you will find y = 6
So you know it intersects the y-axis at 6
We can make infinitely small, but not exactly zero.
So if that part is infinitely small, we have on constant (+ 4) which will be our asymptote. See the attached image for clarification.
ii) Where x > 0
iii) Where x = 0