The length of a rectangle is double its width.
If the rectangle has a perimeter of 48 cm,
find (in cm) its length.

16cm

Step-by-step explanation:

Let W be width

Width=W

Length=2W

Perimeter=(Length+Width)×2

48=(2W+W)×2

48=6W

W=8cm

Therefore length is 8×2=16cm

Step-by-step explanation:

Let the width be x

Length = 2*x = 2x

Perimeter = 48 cm

2*(length + width) = 48

2*(2x +x ) =48

2*3x = 48

6x = 48

x = 48/6

x = 8

Width =  8cm

length = 2 * 8 = 16cm

1/6

step-by-step explanation:

(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.