A farmer bought a scratch ticket and found out later that he won $1,800,000. After 30% was deducted for income taxes he invested the rest; some at 4.75% and some at 6.25%. If the annual interest earned from his investments is $72,135, find the amount he invested at each rate.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A farmer bought a scratch ticket and found out later that he won
$1,800,000. After 30% was deducted for income taxes he invested the
rest; some at 4.75% and some at 6.25%. If the annual interest earned
from his investments is $72,135, find the amount he invested at each
rate.
A. Define variables to represent the unknowns and setup the
necessary equations to answer the question.
B. Algebraically solve the equation you created and express your final
answer using a complete sentence and appropriate units
Transcribed Image Text:A farmer bought a scratch ticket and found out later that he won $1,800,000. After 30% was deducted for income taxes he invested the rest; some at 4.75% and some at 6.25%. If the annual interest earned from his investments is $72,135, find the amount he invested at each rate. A. Define variables to represent the unknowns and setup the necessary equations to answer the question. B. Algebraically solve the equation you created and express your final answer using a complete sentence and appropriate units
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