A pension fund manager decides to invest a total of at most $45 million in U. S. Treasury bonds paying 5% annual interest and in
mutual funds paying 7% annual interest. He plans to invest at least $5 million in bonds and at least $30 million in mutual funds.
Bonds have an initial fee of $100 per million dollars, while the fee for mutual funds is $200 per million. The fund manager is
allowed to spend no more than $8000 on fees. How much should be invested in each to maximize annual interest? What is the
maximum annual interest?
million and the amount that should be invested in mutual funds is
3
The amount that should be invested in Treasury bonds is $
$1 million
0
0
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d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

answer: i guess 105 degrees?

step-by-step explanation:

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.

the answer is two. hope this !