Answer:
adjustments
Step-by-step explanation:
B.) {(3, -3), (9, -6), (3, -9)}
C.) {(3, -3), (9, -6), (9, 2), (0, -9)}
D.) {3,9,0,-4}
Answer:
The function is expressed by answer A
Step-by-step explanation:
A function is a mathematical expression in which, for an independent variable , usually called x, we obtain one and only one value after applying the function, usually known as the dependent variable y.
D is not a function as we do not have two corresponding values or coordinate pairs. We only have a list of numbers
In C, B and A we have pairs of coordinate values expressed as (x,y) the independent and dependent variable.
In expression B, we see that the for the value of x=3 in ponts 1 (3.-3) and (3.-9) , the value 3 has two resulting values of y , -3 and -9, so this coordinates do not represent a function.
In option C, occurs something similar in this case with x =9. x=9 has two values in y : y=-6 and y= 2 so these points do not define a function
In A each x value (3.9.0) has a unique avlue of y (-3,-6,-9) so this is a function.
Story o
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Loan Q’s finance charge will be $83.73 greater than Loan P’s.
b.
Loan Q’s finance charge will be $317.88 greater than Loan P’s.
c.
Loan P’s finance charge will be $20.51 greater than Loan Q’s.
d.
Loan P’s finance charge will be $234.15 greater than Loan Q’s.
To solve this, we are going to use the loan payment formula:
where
is the payment
is the present debt
is the interest rate in decimal form
is the number of payments per year
is the time in years
For Bank P
We know from our problem that the the principal of the loan will be $19,450, so . We also know that Bank P offers a nine-year loan with an interest rate of 5.8%, compounded monthly , so and . Since Dahlia will make monthly payments, and a there are 12 months in a year, . Lets replace the values in our formula:
Now we know that the monthly payment of Dahlia is $231.59. Since we know that she is going to make 12 monthly payments for 9 years, we can calculate the future value of the loan multiplying the amount of the monthly payments ($231.59) by the number of monthly payments (12) by the number of years (9):
Now we know that she is is going to pay $25,011.72 for her loan. Finally, to calculate the total finance charge, we are going to subtract the original loan ( $19,450) from the future value of the loan ($25,011.72), and then, we are going to add the service charge ($925.00):
The total finance charge of bank P is $6,486.72
For Bank Q
We are going to repeat the same procedure as before.
, , , and . Lets replace the values in our formula:
Now that we have our monthly payment, we can calculate the future value of the loan multiplying the amount of the monthly payments ($211.08) by the number of monthly payments (12) by the number of years (10):
Just like before, to calculate the total finance charge, we are going to subtract the original loan ( $19,450) from the future value of the loan ($25,329.6), and then we are going to add the service charge ($690.85):
The total finance charge of bank Q is $6570.45
Notice that the finance charge of ban Q is greater than the finance charge of bank P, so we are going to subtract the finance charge of bank Q from the finance charge of bank P:
We can conclude that Loan Q’s finance charge will be $83.73 greater than Loan P’s. Therefore, the correct answer is a.
Answer:
a. Loan Q’s finance charge will be $83.73 greater than Loan P’s.
Step-by-step explanation:
Answer:
Minus 9
Step-by-step explanation:
Answer:
y =
Step-by-step explanation:
When doing problems like these, you should go through the process like using PEMDAS:
P - Parenthesis ()
E - Exponents
M - Multiply x
D - Division ÷
A - Addition +
S - Subtraction -
1) Since there aren't any Parentheses, or exponents, we should then check for any use of Multiplication.
As shown, there are no shown methods of multiplying.
BUT there is Division, so we will do the opposite of division, which is multiplication.
K = m - n ÷ y
y(K = m - n ÷ y)y
^ Trying to multiply 'y' onto both sides, because when you do something to one side, you do to the other. ^
'y' then cancels out on one side, so you will be left with:
= m - n
But on the other side you will have:
Ky
So your problem will look like:
Ky = m - n
2) Since we are trying to get 'y' by itself, instead of multiplying now, we will be dividing, because:
K(y) = Ky or you can also say K x y = Ky
Back to the problem, we will now divide 'K' to both sides, as stated before:
What you do to one side, you do to the other:
'K' will cancel out on one side:
Leaving you with:
'y'
While the other side, will be left as:
So your final answer will be: