Question
You want to invest $\$ 10,000$ for 5 years, and you have a choice between two accounts. The first pays $6 \%$ per annum compounded annually. The second pays $5 \%$ per annum compounded continuously. Which is the better investment?
Step 1
The formula for compound interest is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (in decimal), n is the number of times Show more…
Show all steps
Your feedback will help us improve your experience
Grant Mansfield and 95 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
suppose you have $11000 to invest. which of the two rates would yield the larger amount in 5 years: 6% compounded monthly or 5.86% compounded continuously?
You are given a choice of taking the simple interest on $100,000 invested for 5 years at a rate of 2 2% or the interest on $100,000 invested for 5 years at an interest rate of 2 2% compounded monthly. Which investment earns the greater amount of interest? Give the difference between the amounts of interest earned by the two investments.
Would it be better to invest $$\$ 5000$$ at $$6.25 \%$$ interest compounded annually for 5 years or to invest $$\$ 5000$$ at $6 \%$ interest compounded continuously for 5 years? Defend your answer.
Exponential and Logarithmic Functions
Applications of Exponential Functions
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD