Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81
Future value of loan after 16 years

[compound interest formula]


Future value of payments after 16 years



Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20
Note: the exact monthly payment for a 25-year mortgage is



Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.
So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.
The closest choice is therefore <span>$72,449.19</span>
Answer:
Step-by-step explanation:
The graph shows the solution (-6,2)
i.e at x= -6 y=2
Analysis of each of the answers, since we can't write the equation of a straight line with only that information i.e the single point
Then,
Option 1
1. 2x - 3y = -6
x= -6 y=2
Then let insert x=-6 and y =2
2(-6)-3(2)
-12-6
-18.
Since -18 ≠ -6, then this is not the equation of the line and doesn't make up the system
Option 2
2. 4x - y = 26
Inserting x=-6 and y=2
4(-6)-(2)
-24-2
-26
Since -26 ≠ 26, then this is not the equation of the line and doesn't make up the system
Option 3
3. 3x + 2y = -14
Inserting x=-6 and y=2
3(-6)+2(2)
-18+4
-14
Since -14 ≠ -14 then this is the equation of the line and it make up the system.
Option 4
x-y = -2
Inserting x=-6 and y=2
(-6)-(2)
-6-2
-8
Since -8≠ -2, then this is not the equation of the line and doesn't make up the system
Option 5
5. x+y=-4
Inserting x=-6 and y=2
(-6)+(2)
-6+2
-4
Since -4 ≠ -4, then this is the equation of the line and it makes up the system.
Then, there are two option that make up the system
3. 3x + 2y = -14
And
5. x+y=-4
Answer:
(-5,0) or (0,-25) is another solution
Step-by-step explanation:
Do you have a list of choices? If not, you could choose random choices for x and y to determine if they are solutions. Start by letting y = 0. We see that x = -5, so (-5, 0) is a solution to this equation. In fact, it represents the x-intercept of this line. Now, let x = 0. We now see that y = -25, so (0, -25) is another solution to the equation of this line. This coordinate pair is the y-intercept of the line. Try using other values of x and y to see if you can come up with other solutions to this equation.
Answer:
1:45 (one hour and 45 minutes)
Step-by-step explanation:
12:45 - 1:45 = 1 hr.
1:45 - 2:30 = 45 min.