Its rhonda started a business. her business made $30,000 in profits the first year. her annual profits have increased by an average of 5% each year since then. (a) write an explicit rule to model the sequence formed by the profits of rhonda’s business each year. use the formula an=a1(r)n-1 . (hint: increase means to add 1 to your %) (b) use the rule to determine what the annual profits of rhonda’s business can be predicted to be 15 years from the start of her business. round your answer to the nearest dollar. do not round until the end. show your work.

(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.

wholesale price is the initial price before markup. retail price comes after the markup.

a price of 8 bucks that's marked up by 100%   is

formula: initial price + (percent markup in fraction/decimal)(initial price)

8+(1)(8)

8+8

16

retail price is $16.