QUESTION IMAGE
Question
drag the tiles to the correct location on the table. match each characteristic to the corresponding type of interest. chart with simple interest and compound interest rows, and tiles: earns interest once on the initial deposit, earns interest multiple times, is a powerful tool for growing your money, offered on most savings options,may be calculated as a penalty for early withdrawals
Brief Explanations
To solve this, we recall the definitions and characteristics of simple and compound interest:
Simple Interest:
- Earns interest once on the initial deposit: Simple interest is calculated only on the principal (initial deposit) amount. The formula is \( I = P \times r \times t \), where \( I \) is interest, \( P \) is principal, \( r \) is rate, and \( t \) is time. It does not earn interest on previously earned interest.
- May be calculated as a penalty for early withdrawals: Some simple - interest - based accounts (like certain savings or fixed - deposit accounts with simple interest) may have penalties for early withdrawal, as the bank expects to earn interest over the agreed - upon time period.
- Offered on most savings options: Many basic savings accounts, especially in some traditional or simpler financial products, offer simple interest.
Compound Interest:
- Earns interest multiple times: Compound interest is calculated on the principal and also on the accumulated interest of previous periods. So interest is earned on interest, multiple times over the life of the investment/loan. The formula is \( A=P(1 + \frac{r}{n})^{nt}\), where \( A \) is the amount, \( P \) is principal, \( r \) is annual rate, \( n \) is number of times interest is compounded per year, and \( t \) is time in years.
- Is a powerful tool for growing your money: Because of the compounding effect (earning interest on interest), compound interest can lead to exponential growth of money over time, making it a powerful tool for long - term savings and investment.
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Simple Interest:
- earns interest once on the initial deposit
- may be calculated as a penalty for early withdrawals
- offered on most savings options
Compound Interest:
- earns interest multiple times
- is a powerful tool for growing your money