Why can't you use the product of powers rule to simplify this expression? Explain. 3^4 * 2^8
1 answer:
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Answer:
B
Step-by-step explanation:
Our equation is as follows, B(c)=1000(1+r)^3. We are being asked to manipulate the equation and have it be r equals in order to solve for an interest rate when given a balance B. To solve the equation for the variable r, we must isolate r by completing order of operations or PEMDAS backwards.
SADMEP allows us to undo subtraction, addition, and etc in the correct order. We have no subtraction or addition outside of more complex operations. So we move to multiplication or division.
We divide both sides by 1000.
We simplify the right side.
We need to now undo the exponent of 3 by using the inverse, a cube root.
We simplify the right side.
We subtract 1 to both sides to get r alone.
For our last step, we simplify the denominator of the root because 10*10*10=1000.
This is answer choice b.
1.621 kN
Step-by-step explanation:
Let the centerline of the canal be the x-axis. Because the forces exerted by the horses are symmetric to the centerline, only the x-components of these forces contribute to the resultant force on the barge, i.e., the y-components cancel out. Each x-component is equal to = 810.4 N. Therefore, the resultant force on the barge is twice this: