URGENT! DO NOT TROLL!

1 answer:

7 0

Hello!

The formula for area of a circle is $\pi r^{2}$

$\pi$ is 3.14 (which is 22/7), and r stand for the radius, which is half of the diameter. If the diameter is 28 cm, the radius is 14 cm.

$\pi 14^{2}$
$\pi (196)$
616

Answer:
Approximately 616 cm $^{2}$ .

Hope this helps!

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Based on a study of population projections for 2000 to 2050, the projected population of a group of people (in millions) can b

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Answer:

(a) 0.107 million per year

(b) 0.114 million per year

Step-by-step explanation:

$A(t) = 11.19(1.009)^t$

(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000, $t=0$ and in 2014, $t=14$ . Mathematically,

$\text{Rate}=\dfrac{A(2014) - A(2000)}{2014-2000}=\dfrac{11.19(1.009)^14-11.19(1.009)^0} {14}$

$A(0)=\dfrac{12.69-11.19}{14}=\dfrac{1.5}{14}=0.107$

(b) The instantaneous rate of change is determined by finding the differential derivative at that year.

The result of differentiating functions of the firm $y=a^x$ (where $a$ is a constant) is $\dfrac{dy}{dx}=a^x\ln a$ . Let's use in this in finding the derivative of $A(t)$ .