Answer:
The required equation is
Step-by-step explanation:
The equation of the given function can be written in the form , where is the slope and is the y-intercept.
The given equation has a y-intercept of
The straight line passes through and .
We calculate the slope using the formula,
We now substitute the slope and y-intercept into the above equation of the straight line to get,
This is the same as
This sort of problem is most easily worked using a financial calcualtor or app. Attached is the result of using the financial app available on a TI-84 calculator for finding future value. The arguments to the function are ...
... N — number of payments: 3
... I — annual interest rate (%): 4.95
... PV — present value: the value of the loan, 125,600
... PMT — payment amount: -1500. The sign is negative because this is money we're paying out
... P/Y — payments per year: 12 (payment is monthly)
... C/Y — compounding per year: 12 (interest is compounded monthly)
After 3 payments, the balance is $122,642.13.
OPTION C is the correct answer.
Something times 2 plus itself equals 36.
2 times 12 = 24
24 plus 12 = 36
2 x 12 +12 =36
or
36 divided by 3
or
12x = 36
by dividing 12 into 36, x =3
Because 36 is a whole and even number, Kim's sister's age should be even as well. The age would be multiply itself 3 times. So Kim's sister is 12 yr old, and Kim's age is 24 years old.
The combinations of ordered triplets that are possible is equal to: A. 18.
<h3>How to find the possible number of ordered triplet?</h3>
Since the common difference (d) between the consecutive terms in an arithmetic progression (AP) is constant, we have:
d = y - x = z - y
Rearranging the terms, we have:
x = y - d
z = y + d
From the given equation:
x + y + z = 30
y - d + y + y + d = 30
3y = 30
y = 30/3
y = 10.
So the arithmetic progression (AP) is given by:
(10 - d), 10, (10 + d)....
Since the common difference (d) is a natural number which would be from 1 to 9, the combinations of ordered triplets that are possible is as follows:
Number of possibilities = 9 × 2
Number of possibilities = 18.
Read more on arithmetic progression here: brainly.com/question/18828482
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<u>Complete Question:</u>
If x, y, z are three natural numbers in A.P. such that x + y + z = 30 then the possible number of ordered triplet (x, y, z) is?
A. 18
B. 19
C. 20
D. 21