In the diagram „ABC = A EDC. Which of the following statements is/are true in the given figure at the right?
A
Picture not drawn to scale
50
D
B
С
E
I.
AC = EC
0726. Doch
II.
2ACB = DEC
III
m ZBAC =mZDEC
IV.
AB - CD

22

step-by-step explanation:

22

6 equilateral triangles

(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.