Vincente and ricarda perez have invested $27,000 in bonds paying 7%. how much additional money should they invest in a certificate of deposit paying 4% simple interest so that the total return on the two investments will be 6%?

Invested amount = $27,000

Interest is getting 7% on $27,000 of bonds.

Let us assume additional money should invest = $x.

Interest payed on additional money invested = 4%.

Total money invested = 27,000 + x.

Total interest on both amount should be equal to = 6%.

We can setup an equation as

7% of starting invested amount + 4% of additional invested amount = 6% of total invested amount.

0.07 * 27,000 + 0.04 x = 0.06(27,000+x).

On simplifying, we get

1890 +0.04x = 0.06(27000+x).

Distributing 0.06 over (27000+x), we get

1890 +0.04x = 1620 +0.06x

Subtracting 0.04x from both sides, we get

1890 +0.04x-0.04x = 1620 +0.06x - 0.04x

1890 = 1620 + 0.02x

Subtracting 1620 on both sides

1890 -1620 = 1620 -1620 + 0.02x.

270 = 0.02x.

Dividing both sides by 0.02, we get

270/0.02 = 0.02x/0.02

13500 = x.

Therefore, $13500 is the additional money should they invest.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

898.1666667

step-by-step explanation:

5389/6 = 898.1666667