Answer:
The interest generated will be $ 51.20.
Step-by-step explanation:
To determine the compound interest on the account with 0.01% interest rate in 5 years compounded quarterly with an initial deposit of $ 1,000, the following calculation must be performed:
1,000 x (1 + 0.01 / 4) ^ 4x5 = X
1,000 x (1 + 0.0025) ^ 20 = X
1,000 x 1.0025 ^ 20 = X
1,000 x 1.05120 = X
1,051.20 = X
1,051.20 - 1,000 = 51.20
Therefore, the interest generated will be $ 51.20.
Answer:
1) The solution to the given equations is (3,6)
2) The solution to the given equations is (7,-1)
3) The solution to the given equations is (6,5)
Step-by-step explanation:
1) Given equations are 
and 
To solve the given equations by substitution method :
From equation (2) we have the value x=1+y
Substitute the value of x=1+y in equation (1) we get
(1+y)+y=5
1+y+y=5
1+2y=5
2y=5-1
2y=4

Therefore y=2
Now substitute the value of y=2 in equation (2) we get
x=1+y
x=1+2
Therefore x=3
The solution is (3,6)
2) Given equations are 
and 
To solve the given equations by substitution method :
From equation (2) we have the value x=6-y
Substitute the value of x=6-y in equation (1) we get
2(6-y)+3y=11
12-2y+3y=11
y=11-12
Therefore y=-1
Now substitute the value of y=-1 in equation (2) we get
x+(-1)=6
x=6+1
Therefore x=7
The solution is (7,-1)
3) Given equations are 
and 
To solve the given equations by substitution method :
From equation (1) we have the value x=1+y
Substitute the value of x=1+y in equation (2) we get
6(1+y)-7y=1
6+6y-7y=1
-y=1-6
Therefore y=5
Now substitute the value of y=5 in equation (1) we get
x-5=1
x=1+5
Therefore x=6
The solution is (6,5)
Answer:

[improper fraction]

[mixed fraction]

[decimal]
Explanation:

12/13 divided by 3/15 →
→
→
→

________________________________
Answer:
Combination
Step-by-step explanation:
Permutation is likely used more for lists/ordered things.
Combination is used more for groups.
Since we are trying to elect a group of people (president, vice president, and secretary) out of 205 students, we use combination.
The antiderivative does not exist in elementary form.
These type of integrals can be approximated using numerical methods if limits are given.
If you want a more technical response, go to wolframalpha.