Find the distance between each pair of points. Round to the nearest hundredth. (-2, 6) and (3, 0)

7.8

Step-by-step explanation:

formula:

d= 7.81 ~ 7.8

7.81

Step-by-step explanation:

Use distance formula:

So, that converts to

x2-x1 = 3-(-2)=5

y2-y1 = 0-6 = 6

=25

=36

25+36=61

Now, take the square root of the sum:

to get 7.81.

4

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.