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Clare borrowed money from her parents at 5.1% simple interest to help pay her tuition. At the end of 1 year, she owed a total of $2,205.00 in principal and interest. How much di...
A freight train leaves a station and travels due east at a speed of 40 mph. One hour later, a passenger train leaves the same station and travels due east on a parallel track at...
Two cyclists start at the same point and travel in opposite directions. One travels 5 mph slower than the other. In 3 hours they are 105 miles apart. Find how fast each cyclist ...
What quantity of 71% hydrochloric acid solution must be mixed with a 18% hydrochloric acid solution to produce 8877.5 mL of 20% solution? Answer: ____ mL
Ron invested a total of $5,200.00, part at 5.5% simple interest and part 4.5% interest. At the end of one year, the investments had earned $267.00 interest. How much was investe...
A triangle's area is 201.5 m². Its base is 31 m. Its height is ____.
Phyllis invested 38000 dollars, a portion earning a simple interest rate of 5 percent per year and the rest earning a rate of 6 percent per year. After one year the total intere...
What quantity of 65 percent acid solution must be mixed with a 30 percent solution to produce 945 mL of a 50 percent solution?
How much 90 percent vinegar do you have to add to a gallon of 5 percent vinegar to get 20 percent vinegar? __ gallons. Hint: You want the final percentage of pure vinegar to be ...
How many cups of grapefruit juice must be added to 60 cups of a punch that is 6% grapefruit juice to obtain a punch that is 10% grapefruit juice? Amount (in cups):
The radiator in a car is filled with a solution of 75 per cent antifreeze and 25 per cent water. The manufacturer of the antifreeze suggests that for summer driving, optimal coo...
Evaluate the expression i^105 and write the result in the form a + bi. The real number a equals The real number b equals
Write the following numbers in a + bi form: (a) (2 - 5i)^2 = [ ] + [ ]i (b) i(π - 3i) = [ ] + [ ]i (c) (-5 + 3i) / i = [ ] + [ ]i
Evaluate the expression (-4 - 1i)(1i) / (1 - 1i) and write the result in the form a + bi. Then a = ___ and b = ___.
Evaluate the expression (-9 - 10i) / (4 + 7i), and write your answer in the form a + bi. a = ____ and b = ____
Express the complex fraction below in standard form: \( \frac{1 - 3i}{2 + i} = \_\_ + \_\_ i \).
Evaluate the expression (1 - 3i) / (2 - 4i) and write the result in the form a + bi. The real number a equals [ ]. The real number b equals [ ].
Evaluate the expression \( \frac{4 + \sqrt{-9}}{2 + \sqrt{-1}} \) and write the result in the form \( a + bi \). The real number a equals The real number b equals
Evaluate the expression 4 / (3i) and write the result in the form a + bi. The real number a equals The real number b equals
Evaluate the expression \( \frac{4}{3i} \) and write the result in the form \( a + bi \). The real number \( a \) equals The real number \( b \) equals
Evaluate the expression \( \frac{\sqrt{-4}}{\sqrt{-4} - 2} \) and write the result in the form \( a + bi \). The real number \( a \) equals The real number \( b \) equals
Write the following numbers in a + bi form: (a) (-5 - 2i)(5 - i)(5 + i) = ___ + ___ i. (b) ((-1 + 3i)^2 - 2)i = ___ + ___ i.
Evaluate the expression (-5 - 9i)(-6 - 6i), and write your answer in the form a + bi. a = ___ and b = ___
Evaluate the expression (4 - 4i)(5 - 9i) and write the result in the form a + bi. The product is ____
Evaluate the expression (-2 + i)(3 - 3i) and write the result in the form a + bi. The real number a equals The real number b equals
Evaluate the expression (4 - √(-25))(−4 + √(−16)) and write the result in the form a + bi. The real number a equals The real number b equals
Evaluate the expression √−8√−200 and write the result in the form a + bi. The real number a equals The real number b equals
Evaluate the expression (-7 - 7i) - (-3 + 5i) and write the result in the form a + bi. The real number a equals The real number b equals
Evaluate the expression (-2 - 4i) - (-2 + 6i) and write the result in the form a + bi. The real number a equals The real number b equals
Evaluate the expression (−4 − 4i) + (−8 − i) and write the result in the form a + bi. The real number a equals The real number b equals
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