Marik agreed to pay a realtor 6.5% commission for selling his house. If the house sold for $68,900, how much does Marik have aft
1 answer:
Answer:
$64421.5
Step-by-step explanation:
Selling price of a house = $ 68900
Marik have to pay for commission for selling his house = 6.5%
Price of a commission= 6.5% of $ 68900
Price of a commission= × $ 68900
Price of a commission= $4478.5
Marik will get the money after paying commission = $ 68900- $4478.5
Total money he get after paying commission= $64421.5
Hence, the correct answer is $64421.5
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Answer:
Step-by-step explanation:
The general equation for a circle is
Where a and b are the x and y values of the centre. So comparing to your equation you can see that a is 2/3 and b is 0
Givens
y = 2
x = 1
z(the hypotenuse) = √(2^2 + 1^2) = √5
Cos(u) = x value / hypotenuse = 1/√5
Sin(u) = y value / hypotenuse = 2/√5
Solve for sin2u
Sin(2u) = 2*sin(u)*cos(u)
Sin(2u) = 2() = 4/5
Solve for cos(2u)
cos(2u) = - sqrt(1 - sin^2(2u))
Cos(2u) = - sqrt(1 - (4/5)^2 )
Cos(2u) = -sqrt(1 - 16/25)
cos(2u) = -sqrt(9/25)
cos(2u) = -3/5
Solve for Tan(2u)
tan(2u) = sin(2u) / cos(2u) = 4/5// - 3/5 = - 0.8/0.6 = - 1.3333 = - 4/3
Notes
One: Notice that you would normally rationalize the denominator, but you don't have to in this case. The formulas are such that they perform the rationalizations themselves.
Two: Notice the sign on the cos(2u). The sin is plus even though the angle (2u) is in the second quadrant. The cos is different. It is about 126 degrees which would make it a negative root (9/25)
Three: If you are uncomfortable with the tan, you could do fractions.