JABDBS- what does X equal?
1 answer:
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Answer:
p = 497 ( to the nearest whole number)
Step-by-step explanation:
In order to do this calculation, we will apply the principle of accounting, where a certain amount is compounded periodically and yielding a future value. Compound interest is used because the percentage growth rate is added on the new amount gotten each year, and not on the first or original amount.
Hence:
FV = PV ×
where FV = future value = population in 2020 = 810
PV = present value = population in 2010 = p
r = percentage growth rate in decimal = 5% = 5/100 = 0.05
n = growth rate period per year = once = 1
t = time in years = 2010 to 2020 = 10 years
∴
(dividing both sides by 1.6289)
p = 810 ÷ 1.6289 = 497.2 = 497 (to the nearest whole number)
∴ population in 2010 = 497
Answer: A. Factor 2 => 4x greater
Factor 3 => 9x greater
Factor 5 => 25x greater
Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:
A = 2.π.r.h
A cylinder of radius r and height h has area:
= 2πrh
If multiply both dimensions <u>by a factor of 2</u>:
= 2.π.2r.2h
= 8πrh
Comparing to
:
=
= 4
Doubling radius and height creates a surface area of a cylinder 4 times greater.
<u>By factor 3:</u>
Comparing areas:
=
= 9
Multiplying by 3, gives an area 9 times bigger.
<u>By factor 5</u>:
Comparing:
=
= 25
The new area is 25 times greater.
B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.