Which statement is true?
2 answers:
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The area of the shaded face of the cylinder is 1,520 mm².
<h3>How to find the area of the shaded area?</h3>We can see that the shaded area of the cylinder is circular in shape.
This means that we can find the area of the shaded area by finding the area of the circle.
The radius of the circle is given as 22 mm.
The formula for finding the area of a circle is given as:
<em>Area = πr²</em>
= 3.14 × 22 × 22
= 1,519.76
≈ 1520 mm²
Therefore, we have found the area of the shaded face of the cylinder to be 1,520 mm².
Learn more about the area of a circle here: brainly.com/question/14068861
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Disclaimer: The question was incomplete, the complete question is attached below.
Answer:
Relationship between compound interest and exponential growth
C.I =
where, P =Principal
R =Rate of interest, n= Duration i.e time interval for which money has been taken, C.I =Compound Interest
Exponential growth = A
Where , A=Initial value of population, K= Rate at which population is declining in percentage, s=total time between starting population and final population
Now , If you compare between Exponential growth and compound interest
P→(Replaced by)→A,
R→(Replaced by)→K,
n→(Replaced by)→s,
As C.I is calculated for money, and Exponential word is used for both money as well as increase in population.
So, just replacing keeping the meaning same
C.I = - P
→Compound Interest = Exponential growth - Initial Value(either money or any population considered)
Answer:
The general solution of the equation is y = + 5
Step-by-step explanation:
Since the differential equation is given as y'(t) = 3y -5
The differential equation is re-written as
dy/dt = 3y - 5
separating the variables, we have
dy/(3y - 5) = dt
dy/(3y - 5) = dt
integrating both sides, we have
∫dy/(3y - 5) = ∫dt
∫3dy/[3(3y - 5)] = ∫dt
(1/3)∫3dy/(3y - 5) = ∫dt
(1/3)㏑(3y - 5) = t + C
㏑(3y - 5) = 3t + 3C
taking exponents of both sides, we have
exp[㏑(3y - 5)] = exp(3t + 3C)
3y - 5 =
3y - 5 =
3y = + 5
dividing through by 3, we have
y = + 5
So, the general solution of the equation is y = + 5