Answer:
The sum is 493.4
Step-by-step explanation:
In order to find the value of the sum, you have to apply the geometric series formula, which is:
where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.
The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.
In this case:
a=40
b= 1.005
n=12 (because the first term is 40 and the last term is 40(1.005)^11 )
Replacing in the formula:
Solving it:
The sum is 493.4
X=number of boys
y=number of girls.
We can suggest the following system of equations:
x+y=33
x/y=3/8
We solve this system of equations by substitution method.
x/y=3/8 ⇒x=3y/8
(3y/8)+y=33
least common multiple=8
3y+8y=33*8
11y=33*8
y=(33*8)/11
y=3*8
y=24
x+y=33
x+24=33
x=33-24
x=9
number of boys /total number of students=9/33=3/11
There are 9 boys and 24 girls in the class.
Answer: C: 9. since 3/11 of the students are boys.
Answer:
Step-by-step explanation:
In first voting 300 person favors the candidate out of 500
i.e. 
60 % Population favor the candidate
For second voting 550 person favors the candidate out of 1000 candidates
i.e. 
55 % Population favors candidate
so according to voting, 1 st voting is favorable for candidate because a large population support him as compared to second voting.
Answer:
Step-by-step explanation:
3 * (2y - 4x) = 8
6y - 12x = 8
divide by 2 throughout
3y - 6x = 4
-6x + 3y -4 = 0
