Kathryn deposits 100 into an account at the beggining of each 4 year period for 40 years. The account credits interest at an effective annual interest rate of i. The accumulated amount in the account at the end of 40 years is X. This is 5 times the accumulated amount in the account at the ned of 20 years. Calculate X

X = 6,194.84

Step-by-step explanation:

Step 1

The value of X is:

Step 2

The value of Y is:

Y = A x (20)

Step 3

We are informed that X = 5Y. Therefore,

Step 4

Substituting the above value in X = 5Y:

X = 6,194.84

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.