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2 years ago

Over time, the number of organisms in a population increases exponentially. The table below shows the approximate number of

Mathematics

2 answers:

Sphinxa [80]2 years ago

6 0

Answer:

We write the generic form equation:

y = A (b) ^ t

We must use two points in the table to find the constants A and b

We have then:

For: t = 1, y = 55

55 = A (b)

For: t = 2, y = 60

60 = A (b) ^ 2

We solve the system of equations:

We divide both equations:

(60 = A (b) ^ 2) / (55 = A (b))

((60) / (55)) = b

b = 1.091

We substitute in any of the equations:

55 = A (b)

55 = A (1,091)

A = (55) / (1,091)

A = 50.41

The equation that models the problem is:

y = 50.41 * (1.09) ^ t

For t = 29 we have:

y = 613.5996987 (> 600)

Answer:

Assuming the trend continues the environment will not last until the population after 24 years.

Answer:

vlada-n [284]2 years ago

5 0

Answer:

Step-by-step explanation:

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nalin [4]

Answer:

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Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

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After t years, the total amount of money is:

$T = E + P$

In this question:

We divide in two intervals, the first year and the second year. We have to know that the amount after the end of the first year is the principal at the start of the second year.

First year:

Amount of 2% interest, during 1 year.

So the interest earned is:

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