Maggie constructs a triangle with sides lengths 7 centimeters long and 10 centimeters long.
which is not a possible length for the third side?
a)16 centimeters

b)4 centimeters

c)2 centimeters

d)7 centimeters

2 cm

Step-by-step explanation:

2 + 7 < 10

sum of two sides of triangle must not small than the third side

(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.