Answer:
see below
Step-by-step explanation:
When you must do the same tedious calculation several times with different numbers, it is convenient to let a spreadsheet program do it for you. Here, the spreadsheet function PMT( ) computes the payment amount for the given interest rate, number of payments, and loan amount.
The loan amount is 90% of the purchase price.
The total interest over the life of the loan is the sum of the payments less the original loan amount.
The total monthly payment is the sum of the loan payment and the monthly escrow amount, which is 1/12 of the annual escrow amount.
_____
Here, we computed the total of payments using the unrounded "exact" value of each payment. We take this to be a better approximation of the total amount repaid, since the last payment always has an adjustment for any over- or under-payment due to rounding.
Answer:
(x, y) = (77/240, -3/10)
Step-by-step explanation:
It is convenient to write the equations in standard form.
Multiplying the first equation by 21 gives ...
21y = 24x -14
Multiplying the second equation by 8 gives ...
24x +9y = 5
Then the system of equations in standard form is ...
Subtracting the first from the second, we get ...
(24x +9y) -(24x -21y) = (5) -(14)
30y = -9
y = -9/30 = -3/10
Substituting this into the second equation, we have ...
24x +9(-3/10) = 5
24x = 7.7 . . . . . . . add 27/10
x = 7.7/24 = 77/240
The solution is (x, y) = (77/240, -3/10).
Answer:
500 kilometers
Step-by-step explanation:
The fuel (y) Karl has in his car is a function of the distance (x) Karl travelled. The amount of fuel (y) is dependent on the distance (x) Karl travelled.
On the y-axis, we have amount of fuel.
On the x-axis, we have distance travelled.
At the time Karl travelled when he had 200 liters of fuel (y) remaining in his car, he had travelled a distance (x) of 500 kilometers.
We know this by looking at the graph given. When x (distance) = 500, y (fuel) = 200.
Answer:
The product of two integers is 72.
Step-by-step explanation:
Let,
x and x+1 be the two consecutive positive integers.
According to given statement;
The product of two positive consecutive integers is 24 more than 6 times the first number.
x(x+1) = 6x+24
Either,
x-8 = 0
x=8
Or,
x+3 = 0
x=-3
As the integer is positive, therefore, the two integers are 8 and 9.
Product of two integers = 8*9 = 72
Hence,
The product of two integers is 72.
