A straight line L is shown on the grid.
2 answers:
Answer:
y = 2x + 1
Step-by-step explanation:
Use slope-intercept form ( y = mx + b ) where m is the slope ( rise over run ) and the y-intercept is 1 because where x = 0, y =1. You can either use rise over run to solve the slope or plug in an x and y value on the line and solve algebriacally.
Rise Over Run:
Take two values on the line, for example, (0,1) and (1,3) y is the rise and x is the run, so write each one with y over x in fraction form.
(0,1) = (1,3) =
then subtract the second value from the first
-
=
which simplifies to 2. So the slope is 2.
Algebra:
plug a coordinate on the line into the equation y =mx + 1. For example (1,3)
3 = m(1) + 1 anything multiplied by 1 is itself so we can cancel out the 1 in the equation
3 = m + 1 subtract 1 from both sides
-1 -1
2 = m each method shows the slope is 2 so now we can put it together into the answer, y = 2x + 1
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Answer:
The total number of the payments is 18 ⇒ answer A
Step-by-step explanation:
* Lets revise the rule of compounded monthly payment
→ , where
- A is the loan amount
- r is monthly interest in decimal (R/12*100))
- n the total number of payments
∵ A = $1100
∵ EMI = $71.5
- Interest rate is 19.2% APR
∵ r =
- Substitute these values in the rule to find n
∴ 71.5 =
- By using cross multiplication
∴ 71.5[1 - ] = 17.6
- Divide both sides by 71.5
∴ 1 - =
- Subtract 1 from both sides
∴ - = -
- Multiply both sides by -1
∴ =
- By using cross multiplication
∴ 49[ ] = 65
- Divide both sides by 49
∴ =
- Insert log for both sides
∴ ㏒ = log(
)
- Put n in-front of the ㏒
∴ n㏒(1.016) = ㏒( )
- Divide both sides by ㏒(1.016)
∴ n = 17.8 ≅ 18
* <em>The total number of the payments is 18</em>