You can solve this using a system of equations:
0.06x + 0.08y = 2060 (interest)
x + y = 29,000 (money invested)
Multiply each term in the second equation by -0.06 to cancel out the 0.06x from the first equation.
-0.06x - 0.06y = -1740
Now add this equation to the first equation and solve for y.
0.06x + 0.08y = 2060
-0.06x - 0.06y = -1740
0.02y = 320
y = 16,000
Since you know y = 16,000 you can substitute it into either of the original equations to solve for x. I picked the second equation because it's simpler, but you could also use the first.
x + 16,000 = 29,000
x = 13,000
So you invested 16,000 at 8% and 13,000 at 6%.
Answer:
I will first divide the shape into two rectangles. first rectangle area would be 60x15=900mm^2. next rectangle is 20x30=600mm^2. 900+600=1500mm^2. the area is 1500mm^2, which is answer D
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
A & B are independent events. A & C, B & C are not independent events.
Step-by-step explanation:
Independent Events are the events, whose occurrences are completely unrelated to each other.
Event A 'Red dice getting 3' & Event B 'Green die getting 4' ; are unrelated to each other. The numbers on red dice & on green dice are not dependent on each other.
Event C 'Red & Green dice numbers showing sum = 7' is dependent on the numbers coming on red & green dice , i.e events A & events B respectively. So, event C is dependent on both events A & B.
Answer:
Step-by-step explanation:
Given
Required
Determine the volume
Volume is calculated as:
Substitute values for Length, Width and Height
<em>Hence, the volume of the box is </em>
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