You had $10,000 to invest. You put x dollars in a safe, government-insured certificate of deposit paying 5% per year. You invested the remainder of the money in noninsured corporate bonds paying 12% per year. Your total interest earned at the end of the year is given by the algebraic expression 0.05x+0.12(10,000−x). a. Simplify the algebraic expression. b. Use each form of the algebraic expression to determine your total interest earned at the end of the year if you invested $6000 in the safe, government-insured certificate of deposit.

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You had $10,000 to invest. You put x dollars in a safe, government-insured certificate of deposit paying 5% per year. You invested the remainder of the money in noninsured corporate bonds paying 12% per year. Your total interest earned at the end of the year is given by the algebraic expression 0.05x+0.12(10,000−x).   a. Simplify the algebraic expression.   b. Use each form of the algebraic expression to determine your total interest earned at the end of the year if you invested $6000 in the safe, government-insured certificate of deposit.

hysgubwyri3 · Accepted Answer

Step 1   Given that we have to invest 10,000 and put x dollars in a self government -insured certificate that pays 5% and then invests rest of the money in corporate bonds that pays 12% interest.  So the total interest earned at the end of the year is given by the function 0.05x+0.12(10000−x).   We need to:   1) simplify the algebraic expression.   2) find the interest earned at the end of year if 6000  is invested in safe government insured certificate.   Step 2   1) First let us simplify the expression.   Let y=0.05x+0.12(10,000−x)   y=0.05x+1200−0.12x   y=1200−0.07x is the simplified expression.   Step 3   2) if 6000 invested in the safe government insured certificate of deposit.   So x=6000.   y=1200−0.07(6000)   y=1200−420   y=780.   So the interest earned at the end of the year is 780.

Hattie Schaeffer · Accepted Answer

Step 1  To determine the total interest earned at the end of the year if we invested 6000$ in the safe, government-insured certificate of deposit, we should use the simplification that we did in the answer of part (a) and we replace x by $6000  Step 2  1200−0.07x=1200−(0.07⋅6000)  =1200−420  =$780

nick1337 · Accepted Answer

To simplify out the expression, we can distribute the multiplication over addition. (one of the properties) 0.05x+1200−0.12x =1200−0.07x We can use the equation we just determined to plug in 6000 for x to find the total interest. 1200−0.07⋅(6000)=780

You had $10,000 to invest. You put x dollars in a safe, gove

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