THANK YOU IN ADVANCE IF YOU DECIDE TO ANSWER <3 Newport Township is building a new playground area for neighborhood kids. The playground will be a square with a perimeter of 56 +

8

3

x

An equivalent expression is 56 + 8 (

1

3

x ).

Which expression represents the length of one of the playground's sides?

224 + StartFraction 32 over 3 EndFraction x

14 + two-thirds x

14 + StartFraction 8 over 3 EndFraction x

4 (56 + StartFraction 8 over 3 EndFraction x)

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

32

step-by-step explanation:

2 x 503

step-by-step explanation:

its 1006

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.