Elise walks diagonally from one corner of a square plaza to another. each side of the plaza is 5050 meters. what is the diagonal distance across the plaza? round your answer to the nearest tenth of a meter.

The diagonal distance across the plaza is 7141.8 meter.             Step-by-step explanation:

Given : Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 5050 meters.

To find : What is the diagonal distance across the plaza?

Solution :

We have given the side of a square a=5050 m

The length of the diagonal is multiply the length of square with square root 2.

Substitute the value of a in the diagonal formula,

Nearest tenth = 7141.8 m

Therefore, The diagonal distance across the plaza is 7141.8 meter.

(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.