Planning a Walk of Fame Naomi is designing a walk of fame to honor her school’s best athletes. The walkway will consist of a pattern of tiles, as shown in the figures below. There will be two rows of tiles that are inscribed with the names of athletes, and a row of plain tiles in between. In the pattern, n is the number of names on each side of the walk. The inscribed tiles cost $15 each, and the plain tiles cost $5 each. Naomi’s budget for the tiles is $500. Task Description A.) using the expression you wrote for the number of tiles with names inscribed on them, write and simplify an expression for the total cost of the inscribed tiles. List the properties you used to simplify the expression.
B.) Using the expression you wrote for the number of plain tiles, write and simplify an expression for the total cost of the plain tiles. List the properties used to simplify the expression.
C.) Write and simplify an expression for the total cost of all the tiles. show working.

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(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

savings account is an account only used for saving money. this acts as an emergency source of funding for an individual. answer a would result in the money in his account to grow as it specifically states that interest is compounded daily at the rate of 2%

step-by-step explanation: