9514 1404 393
Answer:
(a) 6² +3² +1² +1² = 47
(b) 5² +4² +2² +1² +1² = 47
(c) 3³ +4² +2² = 47
Step-by-step explanation:
It can work reasonably well to start with the largest square less than the target number, repeating that approach for the remaining differences. When more squares than necessary are asked for, then the first square chosen may need to be the square of a number 1 less than the largest possible.
The approach where a cube is required can work the same way.
(a) floor(√47) = 6; floor(√(47 -6^2)) = 3; floor(√(47 -45)) = 1; floor(√(47-46)) = 1
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(b) floor(√47 -1) = 5; floor(√(47-25)) = 4; ...
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(c) floor(∛47) = 3; floor(√(47 -27)) = 4; floor(√(47 -43)) = 2
The formula for the amount of a monthly payment A on principal amount P at interest rate i loaned for t years is given by
... A = P(i/12)/(1 -(1 +i/12)^(-12t))
Filling in the given values, this is
... A = $204000(.05/12)/(1 -(1 +.05/12)^(-12·20)) ≈ $1346.31
Yes 0.034 is the correct answer
Step-by-step explanation:
The point A(2, 4) is
rotated 270 ccw, so the A' should be on the 4th quadrant
=> A' (4, -2)