An employee wants to invest $50,000 in a pension plan. One investment offers 5% compounded quarterly. Another offers 4.25% compounded continuously. (a) Which investment will earn more interest in 6 yr? (b) How much more will the better plan earn? (a) After 6 years, the 5% compounded quarterly plan will earn more interest. (b) The better plan will earn $ more. (Round to the nearest cent as needed.)
Added by Brenda C.
Close
Step 1
Using the compound interest formula: \[ A = P \left(1 + \frac{r}{n}\right)^{nt} \] where: A = the future value P = the principal amount ($50,000) r = the annual interest rate (5% or 0.05) n = the number of times the interest is compounded per year (4 for Show more…
Show all steps
Your feedback will help us improve your experience
Tony Hartman and 89 other Calculus 1 / AB 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
An employee wants to invest $50,000 in a pension plan. One investment offers 5% compounded quarterly. Another offers 4.75% compounded continuously. (a) Which investment will earn more interest in 6 yr? (b) How much more will the better plan earn? (a) After 6 years, will earn more interest.
Donna D.
An employee wants to invest $50,000 in a pension plan. One investment offers 6% compounded quarterly. Another offers 5.75% compounded continuously. (a) Which investment will earn more interest in 6yr? (b) How much more will the better plan earn?
Madhur L.
A construction worker wants to invest $\$ 60,000$ in a pension plan. One investment offers $2 \%$ compounded quarterly. Another offers $1.8 \%$ compounded continuously. Which investment will earn more interest in 5 years? How much more will the better plan earn?
Inverse, Exponential, and Logarithmic Functions
Further Applications and Modeling with Exponential and Logarithmic Functions
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD