Question
upstudy study bank question image url

A bank offers a CD that pays a simple interest rate of \( 4.5 \% \). How much must you put in this CD now in order to have \( \$ 5000 \) for a graduation trip in 4 years? You must put \( \$ \square \) in this CD now in order to have \( \$ 5000 \) for a graduation trip in 4 years. (Round up to the nearest cent.)

Ask by Alexander Ortiz. in the United States
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

You need to invest \$4,237.29 now to have \$5,000 in 4 years.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Reviewed and approved by the UpStudy tutoring team

Mind Expander

To find out how much you need to invest now, we can use the formula for simple interest: \[ A = P(1 + rt) \] Where: - \( A \) is the amount of money accumulated after n years, including interest. - \( P \) is the principal amount (the initial amount of money). - \( r \) is the annual interest rate (decimal). - \( t \) is the time the money is invested for in years. We want \( A = 5000 \), \( r = 0.045 \), and \( t = 4 \) years. Plugging in these values, we get: \[ 5000 = P(1 + 0.045 \times 4) \] \[ 5000 = P(1 + 0.18) \] \[ 5000 = P(1.18) \] Now, solving for \( P \): \[ P = \frac{5000}{1.18} \approx 4237.29 \] You must put \( \$ 4237.29 \) in this CD now in order to have \( \$ 5000 \) for a graduation trip in 4 years.

Latest Economics Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy