Aphotograph of a painting measures 13 units by 17 units. if the scale factor is 1/3, what is the actual size of the painting?

39 units by 51 units

Step-by-step explanation:

The painting is a scale factor of 1/3, so each side length is 1/3 of the original.  To find the original multiply both side lengths by 3.

13x3 = 39

17 x 3 = 51

(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.