Math Problem Statement

Jessica wants to buy a new house but needs money for the down payment. Her parents agree to lend her $5000 for 6 years. She makes no payments except the one at the end of that time. Answer the following questions: (a) How much total interest will Jessica have to pay? (b) What will the total repayment amount be (including interest)?

Solution

The problem involves calculating simple interest on a loan. Here's how we can proceed:

Given:

  • Principal (P) = $5000
  • Interest rate (r) = 3% annually = 0.03
  • Time (t) = 6 years

(a) To find the total interest Jessica will have to pay, use the formula for simple interest:

I=P×r×tI = P \times r \times t

Substituting the values: I=5000×0.03×6I = 5000 \times 0.03 \times 6 I=900I = 900 So, Jessica will have to pay $900 in interest.

(b) To find the total repayment amount (including interest), use the formula:

Total Repayment=P+I\text{Total Repayment} = P + I

Substituting the values: Total Repayment=5000+900=5900\text{Total Repayment} = 5000 + 900 = 5900 So, the total repayment amount, including interest, will be $5900.

Would you like more details or have any questions about this process?

Related Questions:

  1. How does the formula for simple interest differ from compound interest?
  2. What are the key factors affecting the amount of interest in a simple interest loan?
  3. How would the interest and repayment change if the interest rate were higher?
  4. What other types of loans might use simple interest rather than compound interest?
  5. How can you calculate the interest if you are paying it monthly instead of at the end?

Tip: Always ensure that your time (t) is in the correct unit (years) when calculating interest!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Simple Interest
Financial Mathematics

Formulas

Simple Interest Formula: I = P * r * t
Total Repayment: Total Repayment = P + I

Theorems

Simple Interest Theorem

Suitable Grade Level

Grades 9-12