Over time, Erin has become suspicious that the "random" play function on her music player is not truly random. Specifically, she thinks that her music player might have a preference for 80s power ballads. Being a woman of science, she decides to test her hypothesis. She sets her music player to "random", listens to 12 songs, and records whether or not an 80s power ballad was played each time. Out of the 12 songs, 5 of them are 80s power ballads. Given that Erin's music collection consists of 25% 80s power ballads, 30% obscure German electronica, 40% whale songs, and 5% self-recordings of monologues about whale songs, is Erin's result sufficient to support her suspicions concerning the musical tastes of her player? (

the answer is the third / last answer

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

(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.