anonymous
  • anonymous
suppose you invest some money that grows to the amount A(t)=1000*2^(t/10) in t years a. how much money did you invest? b. how long does it take to double your money?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
\[A(t)=1000(2)^{t/10}?\]
anonymous
  • anonymous
yes
anonymous
  • anonymous
a) The money that first invested is that at t=0, that's: \[A(0)=1000(2)^{0/10}=1000\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
b)To double this amount, that's to make it 2000: \[1000(2)^{t/10}=2000 \implies 2^{t/10}=2 \implies {t \over 10}=1 \implies t=10\] So, the money will be doubles after 10 years.. Long time I know :P
anonymous
  • anonymous
why do you use a 0 in the t spot
anonymous
  • anonymous
Because part a) is asking about the money that you invested at the "beginning", that's at time t=0. So, I plug t=0. Does that make sense?
anonymous
  • anonymous
yes thank you
anonymous
  • anonymous
You're welcome!!

Looking for something else?

Not the answer you are looking for? Search for more explanations.