Answer:
see explanation
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
=
[ 2a₁ + (n - 1)d ]
where a₁ is the initial value and d the common difference
Given
=
[ 10 + (n - 1)3 ]
Then by comparison
2a₁ = 10 ( divide both sides by 2 )
a₁ = 4 ← initial value
and d = 3 ← common difference
Thus
=
[ 10 + (7 × 3) ]
= 4(10 + 21)
= 4 × 31
= 124
The number of periods over which interest is calculated on the loan.
We have to determine
The following formula is used to calculate the monthly payment on a personal loan.
<h3>What is the formula used to calculate monthly payments?</h3>The formula used to calculate monthly payments are as follows;
Where,
1. PV is the present value or the amount of the loan.
2. i is the interest rate per period and is calculated by dividing the yearly percent rate by 100 and by the number of periods in a year.
3. n is the total number of periods and is calculated as the product of the number of periods in a year times the number of years.
Hence, the number of periods over which interest is calculated on the loan.
To know more about Monthly payments click the link given below.
Answer:
The graph is attached below in DESMOS
Step-by-step explanation:
Given:
x- 2y = 6
It is the equation of a line
Intercepts:
The line which intersect on x-axis and y-axis are called intercepts.
There are two intercepts:
x-intercept: The line which intersect at x-axis. So when the line intersect at x-axis Y coordinate is zero.
y-intercept: The line which intersect at y-axis. So when the line intersect at y-axis X coordinate is zero.
We need to graph the equation using the X and Y intercepts,
For y-intercept
put x = 0 in the given equation we get
0 - 2y = 6
-2y = 6
∴ y = -3
∴ B ≡ (0 ,-3) {blue color in desmos i.e y-intercept}
For x-intercept
put y = 0 in the given equation we get
x - 2 × 0 = 6
x = 6
∴ x = 6
∴ A ≡ (6 , 0) {green color in desmos i.e x-intercept}
For a graph we require minimum two points so we have point A and point B see the attachment below.
