Roberta has $10,540 to invest. she plans to invest her money in certificates of deposit (cds) that have 2.1% interest, a stock portfolio that makes 2.5% interest, and a savings account that has 1.5% interest. she would like to make $231.69 in annual interest from her investments. also, to provide some risk security, she wants to invest a third of the amount she puts in the stock portfolio in the savings account. let x be the amount invested in cds, y be the amount invested in the stock portfolio, and z be the amount invested in the savings account. what is the amount roberta invests in each type of investment?

the amount invested in cds (x) is $

the amount invested in the stock portfolio (y) is $

the amount invested in the savings account (z) is $

The amount invested in CDs is  $1,340

The amount invested in the stock portafolio is $6,900

The amount invested in the saving accounts is $2,300

Step-by-step explanation:

Let

x ---->the amount invested in CDs at 2.1%

y ---> the amount invested in the stock portfolio at 2.5%

z ---> the amount invested in the savings account at 1.5%

----> equation A

----> equation B

substitute equation B in equation A

----> equation C

we know that

The total interest earned by the three amount must be equal to $231.69

so

----> equation D

substitute equation B and equation C in equation D

solve for y

Find the value of x

Find the value of z

d

step-by-step explanation:

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: