In order to solve this problem, the approach should be formulating equations such that they form a system of linear equations. Let's start by assigning variables. Let x be the number of homeruns made by Peter, and y be the number of homeruns made by Alice. Therefore,
x = 2(y - 6)
This is the equation for the relationship between Peter's and Alice's hits. The second equation would be the sum of their hits:
x + y = 18
These are the two independent equations in order to solve the two unknowns, x and y. Substituting the first equation into the second equation,
2(y - 6) + y = 18
2y - 12 + y = 18
3y = 18 + 12
3y = 30
y = 10
Using y=10 to the first equation:
x = 2(10 - 6)
x = 8
Therefore, Peter made 8 homeruns, while Alice made 10 homeruns for a total of 18.
A=16500(1-0.0575)^5
A=16,500×(1−0.0575)^(5)
A=12,271.30
Answer:
angle P
Step-by-step explanation:
corresponding parts of congruent angles are congruent
A corresponds to P (look at the order it's written)
Answer:
2k+7
Step-by-step explanation:
4k - 1 ( 2k - 7 )
4k-2k +7
Answer:
Mary earns interest in one year is $88 .
Step-by-step explanation:
Formula

As given
If Mary deposits $275 in principal at an interest rate of 3.2 percent .
Principle = $275
Rate = 3.2%
Time = 1 year
Putting all the values in the formula


Simple interest = $88
Therefore the Mary earns interest in one year is $88 .