Answer: C = 53.3 inches
A = 226.1 inches²
Step-by-step explanation:
The inscribed square has equal sides. To determine the hypotenuse of the square which is also the diameter of the circle, we would apply the Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Hypotenuse² = 12² + 12² = 144 + 144 = 288
Hypotenuse = √288 = 16.97 inches
Radius = diameter/2 = 16.97/2 = 8.485 inches
The formula for determining the circumference of a circle is expressed as
Circumference = 2πr
Circumference = 2 × 3.14 × 8.485 = 53.3 inches
Area = πr²
Area = 3.14 × 8.485² = 226.1 inches²
The number of years the amount has been in the venture account with 12% interest per year is 4.
<h3>What is compound interest?</h3>
Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
A sum of $2,500 was deposited in a venture account, which pays 12% compounded per year and it accumulated to $3,950.
Then the number of the years will be
We know the compound interest formula
![\rm A = P(1+r)^t](https://tex.z-dn.net/?f=%5Crm%20A%20%3D%20P%281%2Br%29%5Et)
where
A = Accumulated amount
P = Deposited value
r = rate of interest
t = time
Then we have
![3950 = 2500 (1.12)^t\\\\1.58\ =1.12^t](https://tex.z-dn.net/?f=3950%20%3D%202500%20%281.12%29%5Et%5C%5C%5C%5C1.58%5C%20%3D1.12%5Et)
Taking log both sides, then we have
![\rm \ln 1.58 = t \times \ln 1.12\\\\or \ \ \ \ t = 4.036 \approx 4 \ years](https://tex.z-dn.net/?f=%5Crm%20%5Cln%201.58%20%3D%20t%20%5Ctimes%20%5Cln%201.12%5C%5C%5C%5Cor%20%5C%20%5C%20%5C%20%5C%20t%20%20%3D%204.036%20%5Capprox%204%20%5C%20years)
Then the number of the years is 4.
More about the compound interest link is given below.
brainly.com/question/25857212
#SPJ1
So you gonna.. it comes out from your but ( fat is a very polite action, recommend to do in the crowded place - Poup is an action that make we fell sastified, make people happy either) Good luck !
Hope it helps! If it is, Brainliest please!
True.............................
Answer:
NFL teams play 16 regular season games each year, NHL and NBA teams play 82, while MLB teams play 162-could invalidate direct comparisons of win percentages alone. As an example, the highest annual team winning percentage is roughly 87% in the NFL but only 61% in MLB and part (but not all) of that difference is undoubtedly tied to the shorter NFL regular season