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5. Suppose you deposit $1000 in an account that pays 7.5% annual interest. How much wil you have 10 years later if the interest is: a. compounded continuously? b. compounded monthly? after t days in a sample of polonium-210 that start

5. Suppose you deposit $1000 in an account that pays 7.5% annual interest. How much wil you have 10 years later if the interest is: a. compounded continuously? b. compounded monthly? after t days in a sample of polonium-210 that start

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Certainly! Here is the transcription of the text from the image for educational purposes: --- **4.** Given \(\frac{dy}{dx} = 5x^2 y\) and \(f(0) = 6\), solve the separable differential equation. **5.** Suppose you deposit $1000 in an account that pays 7.5% annual interest. How much will you have 10 years later if the interest is: a. Compounded continuously? b. Compounded monthly? **6.** The number of radioactive atoms remaining after t days in a sample of polonium 210 that starts with y\(_0\) atoms is \(y = y_0 e^{-0.005t}\). --- This text includes mathematical problems and equations relevant to differential equations, compound interest, and radioactive decay.
Transcribed Image Text:Certainly! Here is the transcription of the text from the image for educational purposes: --- **4.** Given \(\frac{dy}{dx} = 5x^2 y\) and \(f(0) = 6\), solve the separable differential equation. **5.** Suppose you deposit $1000 in an account that pays 7.5% annual interest. How much will you have 10 years later if the interest is: a. Compounded continuously? b. Compounded monthly? **6.** The number of radioactive atoms remaining after t days in a sample of polonium 210 that starts with y\(_0\) atoms is \(y = y_0 e^{-0.005t}\). --- This text includes mathematical problems and equations relevant to differential equations, compound interest, and radioactive decay.
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