Two sides of a triangle have the same length. The third side measures 4 m less than twice that length. The perimeter of the triangle is 20m. Find the lengths of the sides.

let the unknown side be 'x'

Step-by-step explanation:

then sides of triangle became 'x', 'x,'and 'x-4'

we know,

perimeter =(x)+(x)+(x-4)

20 m =3x-4

3x= 24

x =8m

hence sides of triangle are 8 m, 8m and 4m

(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.