Calculate The Due Simple Flat Rate Interest Earned by a Principal of 190.00 (Dollar, Euro, Pound, ...), 6.00% Annual Interest Rate, for a Period With The Duration of 2 years, 9 months and 1 day

Calculation method used. Calculation formula. Used notations


[1] Calculation method used: 30 / 360

Number of days in a month = 30


Number of days in a year = 360


[2] Simple interest, I
Calculation formula:

I =


(P × r × t) ÷ 360


I = Simple interest amount


360 = Number of days in a year


P = Principal (initial amount)
P = 190.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 6.00%


t = Duration of the investment, in days
t = 2 years, 9 months and 1 day

t =

+ 2 years × 360 days / year
+ 9 months × 30 days / month
+ 1 day

t = 991 days



>> Simple Interest: what is it, how is it calculated?


Calculate the simple interest amount

[3] Substitute for the values
in the Simple Interest formula:

I =


(P × r × t) ÷ 360 =


(190.00 × 6.00% × 991) ÷ 360 =


190.00 × 6.00 ÷ 100 × 991 ÷ 360 =


(190.00 × 6.00 × 991) ÷ (360 × 100) =


1,129,740.00 ÷ 36,000 ≈


31.381666666667 ≈


31.38


[4] V = Amount earned:

V = P + I =


190.00 + 31.38 =


221.38


[5] Project Breakdown. Monthly.

The simple interest is evenly distributed
along the months that make up the project

Month Days Interest Total
interest
Balance
0 0 -- -- 190.00
1 30 0.95 0.95 190.95
2 30 0.95 1.90 191.90
3 30 0.95 2.85 192.85
4 30 0.95 3.80 193.80
5 30 0.95 4.75 194.75
6 30 0.95 5.70 195.70
7 30 0.95 6.65 196.65
8 30 0.95 7.60 197.60
9 30 0.95 8.55 198.55
10 30 0.95 9.50 199.50
11 30 0.95 10.45 200.45
12 30 0.95 11.40 201.40
13 30 0.95 12.35 202.35
14 30 0.95 13.30 203.30
15 30 0.95 14.25 204.25
16 30 0.95 15.20 205.20
17 30 0.95 16.15 206.15
18 30 0.95 17.10 207.10
19 30 0.95 18.05 208.05
20 30 0.95 19.00 209.00
21 30 0.95 19.95 209.95
22 30 0.95 20.90 210.90
23 30 0.95 21.85 211.85
24 30 0.95 22.80 212.80
25 30 0.95 23.75 213.75
26 30 0.95 24.70 214.70
27 30 0.95 25.65 215.65
28 30 0.95 26.60 216.60
29 30 0.95 27.55 217.55
30 30 0.95 28.50 218.50
31 30 0.95 29.45 219.45
32 30 0.95 30.40 220.40
33 30 0.95 31.35 221.35
34 1 0.03 31.38 221.38
Month Days Interest Total
interest
Balance

Answer:

Principal (initial amount) = 190.00

Amount earned = 221.38

Simple interest amount = 31.38


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