Solve the equation or inequality.
5t - 3 (7t + 1) < 93

The inequality t < 6 is the correct answer.

Step-by-step explanation:

5t - 3 (7t + 1) < 93 <--- This is the original equation.

5t + (7t + 1) - 3 < 93 <---- Use commutative property.

16t - 3 < 93 <--- Simplify

16t - 3 + 3  < 93 + 3 <---- Add 3 to both sides,

16t < 96 <--- Simplify and do addition.

< <--- Divide both sides by 16.

t < 6 <--- is the answer to the inequality.

Hope this helps! :D

(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.

parallelogram is the   answer