27 = 1 x 27, or 3 x 9. Factors of 27: 1, 3, 9, 27.
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>
OK so it's telling us to order it from least to greatest, WHICH MEEAANNS we start with the lowest possible number listed. ( I'm gonna turn the fractions into decimals just to make this easier. )
SO, we have:
-1.8 -- 1 -- 1.4 -- 1.9 -- -1.25
Ofc first we start with the negative numbers.
-1.8 and -1.25
( We're just gonna add an extra zero to 1.8 so we can see which is less )
SO, which is less -1.80 or -1.25
NOW REMEMBER negative numbers are different from positive, they get ranked in the opposite way. WHICH MEANS -1.80 is LESS than -1.25 BECAUSE -1.80 is farther from 0 than -1.25 is. Next is the positive numbers:
1 -- 1.4 -- 1.9
Now, this is the easy part. 1 is the least out of the positive numbers listed, then 1.4 then 1.9! Which makes the order:
-1.8 ---- -1.25 ---- 1 ---- 1 2/5 ---- 1 9/10
D= 0.25 days Because 6 hours is 25% of one day