Betsy Rhone

2021-12-21

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.

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

Beginner2021-12-22Added 43 answers

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$x=6000$ .

$y=1200-0.07\left(6000\right)$

$y=1200-420$

$y=780$ .

So the interest earned at the end of the year is 780.

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

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

Step 3

2) if 6000 invested in the safe government insured certificate of deposit.

So

So the interest earned at the end of the year is 780.

Hattie Schaeffer

Beginner2021-12-23Added 37 answers

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

$1200-0.07x=1200-(0.07\cdot 6000)$

$=1200-420$

$=\mathrm{\$}780}$

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

nick1337

Expert2021-12-28Added 777 answers

To simplify out the expression, we can distribute the multiplication over addition. (one of the properties)

We can use the equation we just determined to plug in 6000 for x to find the total interest.

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