The equation when rewritten is 
<h3>Calculations and Parameters:</h3>
When we consider the vertex form of the equation:
y= 3(x-2)^2 - (x-5)^2
Expanding further:
2((x-0.5)^2 - 27/4) = 2( (x-0.5)^2)- 27/2
Thus, the final form of the equation would be
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$10000 in certificate of deposit
$30000 in mutual funds
Step-by-step explanation:
Step 1:
Total amount Stephanie has inherited = $40000
Let x be the amount she should put in certificate of deposit.
So 40000-x is the amount to be deposited in mutual funds
Step 2:
Total interest she wants to earn is 5.4% of $40000 = 5.4*40000/100 = 2160
Interest from certificate of deposit = 2.1% of x = 2.1 * x /100
Interest from mutual funds is 6.5% = 6.5(40000-x)/100
Sum of the interest from both these equals 2160
so 2.1 * x /100 + 6.5(40000-x)/100 = 2160
=> 0.021x/100 + 2600-0.065x = 2160
=> -0.044x = -440 => x= 10000
Step 3 :
Hence Stephaine should invest $10000 in certificate of deposit and (40000-10000) = $30000 in mutual funds
Answer:
(x-3)(x-2)
Step-by-step explanation:
x^2 -5x+6
What two numbers multiply to 6 and add to -5
-3 * -2 = 6
-3 -2 = -5
(x-3)(x-2)
Consecutive numbers: 1, 2, 3, 4, 5.
As we can see it's the latest plus 1
So,
x, x + 1, x + 1 + 1, x + 1 + 1 + 1
x, x + 1, x + 2, x + 3 and so on
So it's x + 1.
