Solve the problem. A $98,000 trust is to be invested in bonds paying 7%, CDs paying 5%, and mortgages paying 10%. The bond and CD investment together must equal the mortgage investment. To earn a $7550 annual income from the investments, how much should the bank invest in bonds?

bonds = $10000

CD = $39000

Mortgage = $49000

Step-by-step explanation:

Let x represent the amount that should be invested in the bond.

Let y represent the amount that should be invested in the CD.

Let z represent the amount that should be invested in the mortgage.

A $98,000 trust is to be invested in bonds paying 7%, CDs paying 5%, and mortgages paying 10%. It means that

x + y + z = 98000 - - - - - - -1

The bond and CD investment together must equal the mortgage investment. It means that

z = x + y

To earn a $7550 annual income from the investments, it means that

0.07x + 0.05y + 0.1z = 7550- - - - -- 2

Substituting z = x + y into equation 1 and equation 2, it becomes

x + y + x + y = 98000

2x + 2y = 98000

Dividing through by 2,

x + y = 49000

x = 49000 - y - - - - - - -3

0.07x + 0.05y + 0.1(x + y) = 7550

0.07x + 0.05y + 0.1x + 0.1y = 7550

0.17x + 0.15y = 7550- - - - - - - - -4

Substituting equation 3 into equation 4, it becomes

0.17(49000 - y) + 0.15y = 7550

8330 - 0.17y + 0.15y = 7550

- 0.17y + 0.15y = 7550 - 8330

- 0.02y = - 780

y = - 780/-0.02

y = 39000

x = 49000 - y = 49000 - 39000

x = 10000

Substituting x = 10000 and y = 39000 into z = x + y 1, it becomes

z = 10000 + 39000 = 49000

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

the rocket cannot penetrate the ground, in a contextual sense, therefore the roots of this equation should be the domain of this function. i'll let you find the roots of this quadratic equation (hint: use the quadratic formula:  

1- c

2-a

step-by-step explanation:

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