Complex Numbers
(-10 + 3i) - (4+5i)
-14-2i
If Todd invest $5000 at 4% interest per year, how much additional money must he invest at 5.5% annual interest to ensure that the interest he receives each year is 4.5% of the total amount invested?
$2500=x
A rectangular garden is 5 ft longer than it is wide. It's area is 14 ft2. What are its dimensions?
2ft x 7ft
((x+4)/(x-9))≥0
(-∞,-4] U (9,∞)
(3+2i)(5-i)
17+7i
If Katelyn invests $8500 at 4.3% interest per year, how much additional money must she invest at 5.5% annual interest to ensure that the interest she receives each year is 4.75% of the total amount invested?
x=$5100
What amount of pure acid must be added to 300mL of a 45% acid solution to produce a 70% acid solution?
x=250mL
(x+4)(x-1)2(x+2)<0
(-4,-2)
(3-5i)/(1-2i)
(13/5)+ (1i/5)
A rental company charges $30 a day and 40 cent a mile for renting a truck. Zach rents a truck for 3 days and his bill came to $209.20. How many miles did he drive?
x=298 miles
The length of a rectangle is 3 less than 4 times the width. The perimeter is 34. Find the length and width.
4=x
x2-3x-10≥0
(-∞,-2] U [5,∞)
i17
i
A cell phone company charges a monthly fee of $50 for the first 1000 messages and 5 cent for each additional text messages. Sara's bill for text messages for the month of September was $55.75. How many text messages did she send that month? Write an equation to solve.
19,885 texts messages
What amount of a 65% acid solution must be mixed with a 35% solution to produce 600 mL of 40% solution?
x=100 mL
1 ≤ 4x-7 < 9
[2,4)
x2+3x+6=0
(-3±i√(15))/2
A car rental company charges $50 a day and 30 cent a mile for renting a car. Terry rents a car for 7 days, and his bill comes out to be $538.70. How many miles did he drive?
x=629 miles
A rental company charges $80 a day and 25 cents a mile for renting a truck. Bob rents a truck for 5 days and his bill $544. How many miles did he drive?
x=544 miles
∣5x+2∣< 4
(-6/5,2/5)