28.50x + 110.99(14-x)=811.45
distribute
28.50 x + 1553.86-110.99x =811.45
combine like terms
-82.49x+1553.86=811.45
subtract 1553.86 from each side
-82.49x =-742.41
divide by -82.49
x=9
He bought 9 of the 28.50 features and 5 of the 110.99 features
Use multiple steps formula.
Answer:
The amount invested in the mutual fund that earned 5% was $1,000
The amount invested in the mutual fund that earned 3% was $1,800
Step-by-step explanation:
Let
x ----> the amount invested in the mutual fund that earned 5%
y ----> the amount invested in the mutual fund that earned 3%
we know that
---->
----> equation A


----> equation B
Solve the system by substitution
substitute equation A in equation B
Solve for x

<em>Find the value of y</em>


therefore
The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800
The average rate of change is given by [f(b) - f(a)]/(b - a), where a and b represent the interval [a, b].
Let a = -2
Let b = -1
[(-1)^2 + 10 - ((-2)^2 + 10)]/(-1 -(-2))
[1 + 10 - (4 + 10)]/(-1 + 2)
[1 + 10 -4 -10]/(1)
[1 - 4]/(1)
-3/1
Answer: -3