# Derive Definition of Exponential Function Power Series from Compound Interest Suppose that you invest \$8,000 at 2% interest compounded continuously. Suppose that you invest \$15,000 at 2% interest compounded continuously. How much money will be in your account in 4 years? Suppose that you invest \$3,000 at 8% interest compounded continuously. Suppose that you invest \$1,000 at 2% interest compounded continuously. How much money will be in your account in 3 years? Suppose that you invest \$8,000 at 8% interest compounded continuously. Both the nominal interest rate and the compounding frequency are required in order to compare interest-bearing financial instruments. Find the present value of \$300,000 https://simple-accounting.org/ fifteen years from now, if interest is compounded semiannually at 8.2%. Find the amount of time it will take for 10% of an initial sample of carbon-14 to decay.

## Annual equivalent rate

This is the same definition that can be derived using a Taylor series. The above graph doesn’t look like the typical exponential shape. Find the interest rate needed for an investment of \$5,000 to grow to an amount of \$7,500 in 3 years if interest is compounded quarterly. Find the annual interest rate at which an account earning continuously compounding interest has a doubling time of 9 years.

## future value in the

The present value of \$8000, compounded daily for six years.Thus, the present value is approximately \(P_ \approx \$6293.11\). If this amount is invested now at 4% compounded daily, then its future value in 6 years will be \$8000. Find the present value of \$30,000 due in 3 years at the given rate of interest. Exponential Functions: Compound Interest How long will it take for \$8900 to grow to \$25,600 at an interest rate of 5.4% if the interest is compounded continuously? Round the number of years to the nearest hundredth. How long will it take for \$700 to grow to \$16,900 at an interest rate of 7.8% if the interest is compounded continuously?

### Tutors International Announces Exponential Increase in Enquiries About Private Tuition – Yahoo Finance

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Posted: Thu, 27 Oct 2022 11:39:00 GMT [source]