Enter the value of x that makes the given equation true.
3(5 - x) = 7x - 2

1.7

Step-by-step explanation:

3(5-x)=7x-2

Open bracket

15-3x=7x-2

Collect like terms

7x+3x=15+2

10x=17

Divide both sides by 10

10x/10=17/10

X=1.7

(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.