Fill in the blank so the result is a perfect square trinomial. Then factor into a binomial square.
x² + 12x + _____
36; (x + 6)²
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Part of $3,800 is invested at 12%, another part at 13%, and the remainder at 14%. The total yearly income from the three investments is $506. The sum of the amounts invested at 12% and 13% equals the amount invested at 14%. Determine how much is invested at each rate.
A. $1,100 at 12%, $800 at 13%, $1,900 at 14% B. $700 at 12%, $1,200 at 13%, $1,900 at 14% C. $700 at 12%, $1,900 at 13%, $1,200 at 14% D. $600 at 12%, $1,300 at 13%, $1,900 at 14% E. $800 at 12%, $1,300 at 13%, $1,700 at 14%
Write the expression in the standard form a + bi.(8 - 3i) + (7 + 7i)
A. 15 - 4i B. 15 + 4i C. -15 - 4i D. 1 + 10i
Decompose into partial fractions.
A. 
- 
+ 
+ 
B. 
- 
+ 
- 
C. 
+ 
+ 
+ 
D. 
- 
- 
+ 
A man gets a job with a salary of $40,000 a year. He is promised an $1800 raise each subsequent year. Find his total earnings for a 10-year period.
What will be an ideal response?