Comparing Types of Interest — Quiz Answers

Syeda is planning to invest $⁢8,000 for 6 years. Investment Option A offers a 3.15% annual interest rate compounded quarterly, while Option B offers the same rate but compounded daily. What is the exact total amount Syeda will have in each investment option after 6 years? Compound Interest Formula: A=P⁢(1+(r)/(n))^n⁢t

Lipa invests $⁢300 in an account with a 2.2% annual interest rate, compounded semi-annually. Caleb invests $⁢350 in an account that pays 3% annual interest, compounded quarterly. Whose balance is greater after 15 years? Compound Interest Formula: A=P⁢(1+(r)/(n))^n⁢t

Jorge is evaluating two savings accounts for his $⁢2,000 investment. The first is a compound interest account with a 4% annual rate compounded semi-annually, and the second is another compound interest account with the same annual rate but compounded quarterly. He prepared a table to show the total amount after 3 years but realized there is an error. Identify the mistake in Jorge's table. Investment Type Interest Rate Compounding Frequency Total Amount after 3 Years Semi-Annual Compounding 4% Semi-Annually $⁢2,254.43 Quarterly Compounding 4% Quarterly $⁢2,253.65 Compound Interest Formula: A=P⁢(1+(r)/(n))^n⁢t

Daniel is deciding between a compound interest account with a 3% annual rate, compounded quarterly, and a continuously compounded interest account at 2.75% annually for his $⁢10,000 savings for 5 years. Which account will have a higher balance after 5 years? Compound Interest Formula: A=P⁢(1+(r)/(n))^n⁢t Continuously Compounded Interest Formula: A=P⁢e^r⁢t The value of e , also known as Euler's number, is approximately 2.71828

Skylar decides to invest $⁢3,500 Bank A offers a 3.65% annual interest rate compounded monthly, while Bank B offers a 3.65% annual rate but compounded quarterly. Skylar plans to invest for 2.5 years ( 30 months). What is the exact total amount Skylar will have in each bank after 2.5 years? Compound Interest Formula: A=P⁢(1+(r)/(n))^n⁢t

Jack has $⁢6,000 to deposit for a term of 4 years. Bank C offers a 4.25% annual interest rate compounded annually, while Bank D offers the same rate but compounded semi-annually. What is the exact total amount Jack will have in each bank after 4 years? Compound Interest Formula: A=P⁢(1+(r)/(n))^n⁢t

Lilah has $⁢7,000 to invest for 5 years. Investment Option C offers a 3.2% annual interest rate compounded quarterly, while Option D offers the same rate but compounded continuously. What is the exact total amount Lilah will have in each investment option after 5 years? Compound Interest Formula: A=P⁢(1+(r)/(n))^n⁢t Continuously Compounded Interest Formula: A=P⁢e^r⁢t The value of e , also known as Euler's number, is approximately 2.71828