Calculating Simple Interest Rate on a $2,000 Savings Account

  • Thread starter Thread starter lil.l3b91
  • Start date Start date
  • Tags Tags
    Interest Rate
Click For Summary
SUMMARY

The discussion centers on calculating the annual rate of simple interest for a $2,000 savings account, where Dylan earned $73.93 in interest over a period from July 15, 2016, to March 29, 2017. The formula used for the calculation is r = I / (p * t), where I is the interest earned, p is the principal amount, and t is the time in years. The correct calculation reveals that the annual interest rate is approximately 10.66%, not the incorrectly suggested 0.02%. This highlights the importance of proper mathematical operations and understanding of the formula.

PREREQUISITES
  • Understanding of simple interest calculation
  • Familiarity with the formula r = I / (p * t)
  • Basic knowledge of time conversion in financial calculations
  • Ability to perform arithmetic operations accurately
NEXT STEPS
  • Study the concept of compound interest and its calculations
  • Learn about financial formulas and their applications in real-world scenarios
  • Explore time value of money principles
  • Practice solving various interest rate problems using different principal amounts and time periods
USEFUL FOR

This discussion is beneficial for students in finance or mathematics, educators teaching interest calculations, and anyone interested in understanding simple interest mechanics for personal finance management.

lil.l3b91
Messages
4
Reaction score
0

Homework Statement


Dylan received an academic achievement prize of $2,000 from his college. He deposited this money into a savings account on July 15, 2016. If the interest accumulated on the investment when he withdraws the money on March 29, 2017 was $73.93, calculate the annual rate of simple interest that the savings account was providing him.

Round to two decimal places

Homework Equations



r=I/pt
I=prt

The Attempt at a Solution


p=2000
I=73.93
t=257/365

73.93/2000*257/365
73.93/2000*(0.70410959)\
73.93/1,408.219180
=19,04800728
0.02%?
 
Physics news on Phys.org
It is useful to put brackets around denominators, otherwise expressions like a/b*c are interpreted as (a/b)*c instead of a/(b*c) as you used it here.

It looks fine up to the third line from the bottom. What does the 19,... do there? And where does the 0.02% come from?
0.02% of $2000 is less than a dollar. Clearly within less than a year you can’t get more than 70 dollars interest that way.
 

Similar threads

Replies
2
Views
2K
Replies
7
Views
2K
Replies
3
Views
5K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 12 ·
Replies
12
Views
3K
Replies
1
Views
1K
Replies
1
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K