Pregunta
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Select the word whose definition is given below. Definition: Interest that is calculated on principal AND on any accrued interest.

Ask by Erickson Page. in the United States
Jan 23,2025

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The word is **Compound Interest**.

Solución

The word you're looking for is **"Compound Interest."** **Compound Interest** is the interest calculated on the initial principal and also on the accumulated interest from previous periods. This means that over time, the interest itself earns interest, leading to exponential growth of the invested amount. **Example:** If you invest $1,000 at an annual compound interest rate of 5%, after the first year, you earn $50 in interest. In the second year, interest is calculated on $1,050, resulting in $52.50, and so on. This differs from **simple interest**, where interest is only calculated on the original principal. --- **Key Term:** - **Compound Interest** – Interest calculated on the principal and any previously accrued interest.

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The Deep Dive

The word you are looking for is "compound interest." It's like your money is a snowball rolling down a hill, gathering more snow (or interest) as it goes! The beauty of compound interest is that not only do you earn interest on your original amount (the principal), but you also earn interest on the interest that has already been added. This can lead to significant growth over time, especially with long-term investments! To make the most of compound interest, start saving and investing early—time is your best friend. Many people mistakenly think they can’t start investing until they have a lot of money, but even small, regular contributions can snowball into a significant amount due to compounding. Just be wary of waiting too long, as missed opportunities can lead to smaller returns!

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Samson opened a bank account with \( 1.25 \% \) simple interest. The total amount of interest Samson will earn after 20 years is \( \$ 812.50 \). How much did Samson deposit when he opened the account? Which equation represents the total interest, \( T \), earned when the principal amount is \( \$ 100 \), the annual simple interest rate is \( 1 \% \), and the number of years is 10 ? (A) \( T=100 \cdot(10+0.1) \) (C) \( T=100 \cdot 0.1 \cdot 10 \) (B) \( T=100 \cdot(10+0.01) \) (D) \( T=100 \cdot 0.01 \cdot 10 \) 3. Mika opened a bank account that earns simple interest with an initial deposit of \( \$ 2,200 \). She made no other transactions throughout the year. At the end of the year, Mika had \( \$ 2,260.50 \) in her account. What was the simple interest rate? 4. Vince borrows \( \$ 900 \) to buy a couch. He will pay off the loan by paying \( 1.5 \% \) simple interest for 2 years. Vince incorrectly calculates the amount he will pay back using the expression below. \[ 900+900(1.015 \cdot 2) \] What is the correct amount Vince will pay back altogether? Explain the error in Vince's expression. 5. Darryl deposits \( \$ 1,500 \) into a savings account that has a simple interest rate of \( 2.7 \% \). Lori deposits \( \$ 1,400 \) into a savings account that has a simple interest rate of \( 3.8 \% \). If no other transactions are made, who will have more money in their account after 10 years? How much more? (A) After 10 years, Lori will have \( \$ 27 \) less than Darryl. (B) After 10 years, Lori will have \( 1.1 \% \) more than Darryl. (C) After 10 years, Darryl will have \( \$ 16.50 \) more than Lori. (D) After 10 years, Lori will have \( \$ 27 \) more than Darryl.
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