Question
upstudy study bank question image url

Question 18 Kristina invests \( \$ 1,000 \) at \( 4 \% \) simple interest for 3 year. How much is in the account at the end of the 3 years period? Answer: \( \$ \) Next Question Y

Ask by Sandoval Welch. in the United States
Feb 03,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

At the end of 3 years, Kristina has \$1,120 in the account.

Solution

To calculate the amount in the account after 3 years with simple interest, you can use the simple interest formula: \[ \text{Simple Interest} = P \times r \times t \] Where: - \( P \) is the principal amount (\$1,000) - \( r \) is the annual interest rate (4% or 0.04) - \( t \) is the time in years (3 years) **Step 1: Calculate the Simple Interest** \[ \text{Simple Interest} = 1000 \times 0.04 \times 3 = 120 \] **Step 2: Calculate the Total Amount in the Account** \[ \text{Total Amount} = \text{Principal} + \text{Simple Interest} = 1000 + 120 = 1120 \] So, the amount in the account at the end of the 3-year period is: \[ \$1,120 \]

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

Bonus Knowledge

At the end of 3 years, Kristina will earn simple interest calculated by the formula \( I = P \times r \times t \). Here \( P \) is the principal amount (\$1,000), \( r \) is the rate (0.04), and \( t \) is the time in years (3). So, \( I = 1000 \times 0.04 \times 3 = \$120 \). Adding this to the principal, her total amount will be \( \$1,000 + \$120 = \$1,120 \). This simple interest scenario beautifully illustrates how time and rate come together to boost your savings. Keep in mind that simple interest is different from compound interest, which can yield even more attractive returns if you let your money grow over a longer period. Compound interest calculates interest on both the initial principal and the accumulated interest from previous periods. Always worth exploring!

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