5. Aaron has sewn three square tablecloths of different sizes. He determines the length
of the diagonal of each square tablecloth.

Part A
The yellow tablecloth has a diagonal of The yellow tablecloth has a diagonal of √18 feet.

What is the length of the diagonal
of this tablecloth, to the nearest hundredth of a foot?
Show your work.

4

Step-by-step explanation:

square root of 18 is 4.2426 so round that and it is 4

(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.