Astate department of public safety added 13x2 + 5x miles of highway to connect cooltown and bragville. it cost the department 3x2 – 9x thousand dollars to complete each mile of interstate. which expression shows the total cost, in thousands of dollars, of creating this highway?

in thousands of dollars.

Step-by-step explanation:

It is given that a state department of public safety added miles of highway to connect CoolTown and Bragville.

Length of highway : miles

Cost of highway : thousand dollars per mile.

We need to find the expression that shows the total cost.

Using distributive property

On combining like terms we get

Therefore, the total cost is in thousands of dollars.

c. 6tan80

step-by-step explanation:

(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.