The perimeter of a rectangular painting is 320 cm. If the length of the painting is 96 cm, what is its length

Width/length = 64 cm

Step-by-step explanation:

Concept:

Here, we need to know the concept of rectangle perimeter.

A perimeter is either a path that encompasses/surrounds/outlines a shape.

P = 2 (w + l)

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

l = 96 cm

P = 320 cm

Given formula

P = 2 (w + l)

Substitute each value into the formula

320 = 2 (w + 96)

Divide both sides by 2

320 / 2 = 2 (w + 96) / 2

160 = w + 96

Subtract 96 on both sides

160 - 96 = w + 96 - 96

w = 64 cm

Hope this helps!! :)

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a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58

(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.