the greatest common factor of these numbers is 2
Answer:
4/3π - √3
Step-by-step explanation:
Pie piece of circle is area of circle x portion of circle
πr²*x/360 = π(2)²*120/360 = 4/3π
Then you must subract the non-right triangle area
1/2ab sin C = 1/2(2)(2) sin 120 = 2 * √3/2 = √3
4/3π - √3
Answer:
$14,048.62
Step-by-step explanation:
The interest is 9% per year and compounded 3 times a year, so each compound will be 9%/3 = 3%
The time elapsed will be 15 years and the interest compounded 3 times a year, so the number of compounds happens will be = 15 years* 3 compounds/year= 45x compound.
So basically the money will get 3% interest 45 times. To put into the compounding interest formula, the final account balance will be:
A = P (1 + [ r / n ]) ^ nt
A= amount of the balance after a period of t
P= principal, the initial money deposit( $3,715)
r= rate(9%)
n= number of compound per unit of time(3 times per year)
t= time(15 years)
The calculation will be:
A = P (1 + [ r / n ]) ^ nt
A = 
A = $14,048.62
Answer:
There are 60 monkeys in the Zoo
Step-by-step explanation:
In this question, we are asked to calculate the number of monkeys in a Zoo given some information to use.
Let’s have the total number of monkeys be m.
60% are going monkeys. This means number of young monkeys is 0.6m.
The number of baby and old monkeys is obviously 0.4m.
Ratio of baby to old monkeys is 3:1. This means if we splitter 0.4m into 4, number of baby monkeys is 0.3m while number of old monkeys is 0.1m
Now, subtracting the number of baby monkeys from young monkeys give a total of 18 monkeys.
Let’s project this mathematically;
This means ;
0.6m - 0.3m = 18
0.3m = 18
m = 18/0.3
m = 60
There are 60 monkeys in the zoo