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15
A number cube was rolled as part of an experiment. The results are in the table below. The fraction is the experimental
VX
probability of rolling a 3. What is x?
Experiment Results
1 2 3
4
5
6
Number
Frequency
4
6
5
7
3
5
on WN
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INTL 2:09

13. jbhgfsfyfvhvbjko

(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.