One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $142,400 to invest would like to have an income of $19,500 per year from her investments. How much should she invest at each rate? Step 1 Set up equations that model the problem. X = amount of safe investment. = amount of risky investment. y: Total amount invested x + y = 145,200 %3D L 0.1 ) = x ( 0.18 )=y = 19,500 Step 2 Use the equations to solve for y. x + y = 145,200 %3D x + 1.8y = (10) x second equation 0.8y : Subtract the second equation from the first Solve for y, the amount of risky investment.

One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $142,400 to invest would like to have an income of $19,500 per year from her investments. How much should she invest at each rate? Step 1 Set up equations that model the problem. X = amount of safe investment. = amount of risky investment. y: Total amount invested x + y = 145,200 %3D L 0.1 ) = x ( 0.18 )=y = 19,500 Step 2 Use the equations to solve for y. x + y = 145,200 %3D x + 1.8y = (10) x second equation 0.8y : Subtract the second equation from the first Solve for y, the amount of risky investment.

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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