Use the sinking fund formula shown to the right to determine the monthly payment needed to accumulate $410,000 with 6% interest are compounded monthly for 26 years.\ The monthly invested payment is $\ (Round up to the nearest cent.)\ $p = frac{A left(frac{r}{n} ight)}{left(1 + frac{r}{n} ight)^{nt} - 1}$
Added by Lisa L.
Close
Step 1
06 (since it is compounded monthly, the interest rate per period is the annual interest rate divided by 12) n = 26 years * 12 months/year = 312 months Plugging in these values into the sinking fund formula, we get: P = ($410,000 * 0.06) / ((1 + 0.06)^312 - Show more…
Show all steps
Your feedback will help us improve your experience
Penny Riley and 88 other Calculus 3 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
Use the sinking fund formula shown to the right to determine the monthly payment needed to accumulate $210,000 with 8% interest are compounded monthly for 22 years. The monthly invested payment is (Round up to the nearest cent.)
Madhur L.
Find the amount of each payment to be made into a sinking fund so that enough will be present to accumulate the following amounts. Payments are made at the end of each period. $\$ 75,000$ money earns 6$\%$ compounded semiannually for 4$\frac{1}{2}$ years.
Mathematics of Finance
Future Value of an Annuity
Use the appropriate formula to find how much you should deposit now at 6% interest, compounded annually, to yield an annuity payment of $850 at the BEGINNING of each year, for 11 years. $6,703.84 $7,106.07 $7,126.27 $10,235.34?
Rahul M.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD