Question 1123023
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<pre>
Let x= "How much should he invest in the bond".


Then the rest, which is (50000-x) dollars, he invests in CD.


His yearly interest from the bond is 0.12x, according to the condition.


His interest from the CD is 0.05*(50000-x) dollars.



Your equation is


    <U>interest</U> + <U>interest</U>       = <U>total interest</U>,    or


    0.12x    + 0.05*(50000-x) = 3000  dollars.



Simplify and solve for x:


    0.12x + 0.05*50000 - 0.05x = 3000,

    0.07x = 3000 - 0.05*50000

    x = {{{(3000 - 0.05*50000)/0.07}}} = 7142.86.


<U>Answer</U>.  He should invest  $7142.86 at 12% and the rest  $50000 - $7142.86 = $42857.14 at 5%.


<U>Check</U>.   0.12*7142.86 + 0.05*42857.14 = 3000.00   ! Correct !
</pre>

Solved.


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It is a typical and standard problem on investment.


To see many other similar solved problems on investment, &nbsp;look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Using-systems-of-equations-to-solve-problems-on-investment.lesson>Using systems of equations to solve problems on investment</A>

in this site.


You will find there different approaches &nbsp;(using one equation or a system of two equations in two unknowns), &nbsp;as well as 
different methods of solution to the equations &nbsp;(Substitution, &nbsp;Elimination).


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lesson is the part of this online textbook under the topic &nbsp;"<U>Systems of two linear equations in two unknowns</U>".



Save the link to this online textbook together with its description


Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson


to your archive and use it when it is needed.