problem #1 P dollars is invested at annual interest rate r for1 year. If the int
ID: 3095175 • Letter: P
Question
problem #1P dollars is invested at annual interest rate r for1 year. If the interest is semiannually, then thepolynomial represents the value of the investment after 1year. Rewrite this expression without parentheses. Evaluate thepolynomial if P=$200 and r=10% Problem #2 Area of a square. Find a polynomial A(x) that represents thearea of the shaded region in the accompanying figure.
Explanation / Answer
2) The area of the biggest square is x * x = x^2 The area of the square on the upper right is 3*3 = 9 There are 2 rectangles, one on top of the shaded square and theother is to the right of the shaded square. Their area is 3*(x-3).Since there are two rectangles, the sum of their area is 2*3*(x-3)= 6(x-3) Do you see how I got the length of the rectangle = x-3? I took off3 unit from the x length for the largest square. What they are trying to do is to have you figure out that the areaof the shaded square which has a side of length x-3 is the same asthe area of the larger square - area of small square - area of thetwo rectangles. The area of the larger square = x^2 The area of the two rectangles = 6(x-3) = 6x - 18 The area of the small square = 9 If you subtract the rectangles and small square from the largersquare you have x^2 - 6x + 18 - 9 ---> x^2 - 6x + 9 The area of the shaded square is (x-3)^2 = x^2 - 6x + 9 And that is the same as the area above. That is what they're trying to show you. 1) A(t) = P[1 + r + (r/2)^2] A(t) = 200[1 + 0.1 + (0.05)^2] = 200[1.1025] = $220.50
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.