Charlene and Gary want to make perfume. In order to get the right balance of ingredients for their tastes they bought 2 ounces of rose oil at $4.96 per ounce, 5 ounces of ginger essence for $4.24 per ounce, and 3 ounces of black currant essence for $2.04 per ounce. Determine the cost per ounce of the perfume.

(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.

~dasgupta/mathbook/append17dec2k8.pdf