If the amount Damien deposits into the Bank of Chance is x, then the amount he deposits into the Merchant Bank is 3*x (as he deposits 3 times as much there). Since 3*x+x=4x, and we know that Utopian Financing's deposit is 20% (or 0.2 by moving the decimal in 20.00 2 places over to the left), 4x*0.2=0.8x=amount he invests in Utopian Financing. Adding them all up, we get x+3x+0.8x=1200=4.8x. Dividing both sides by 4.8, we get 1200/4.8=x=
250 dollars invested in the Bank of Chance. To find 0.8 of 250, we multiply the two to get 0.8*250=200=amount invested into Utopian Financing
Answer:
Step-by-step explanation:
The question will look like (3b)/(a^-2)
To simplify, note the (a^-2). It is a negative, so flip the placement of the monomial. Note that the term is located in the decimal, so when it is flipped, it goes to the numerator (vice versa if it is opposite)
(3b)/(a^-2) = (3b)(a²)
3a²b, or (A) is your answer choice
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Answer: the speed of the plane in still air is 135 km/h
the speed of the wind is 23 km/h
Step-by-step explanation:
Let x represent the speed of the plane in still air.
Let y represent the speed of the wind.
Flying to England with a tailwind a plane averaged 158km/h. This means that the total speed of the plane is (x + y) km/h. Therefore,
x + y = 158 - - - - - - - - - - - - - -1
On the return trip, the plane only averaged 112 km/h while flying back in the same wind. This means that the total speed of the plane is (x - y) km/h. Therefore,
x - y = 112 - - - - - - - - - - - - - -2
Adding equation 1 to equation 2, it becomes
2x = 270
x = 270/2 = 135 km/h
Substituting x = 135 into equation 2, it becomes
135 - y = 112
y = 135 - 112
y = 23 km/h
Answer:
X= -7
Step-by-step explanation:
