Calculate The Due Simple Flat Rate Interest Earned by a Principal of 4,754.00 (Dollar, Euro, Pound, ...), 10.00% Annual Interest Rate, for a Period With The Duration of 5 years, 6 months and 13 days

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 = 4,754.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 10.00%


t = Duration of the investment, in days
t = 5 years, 6 months and 13 days

t =

+ 5 years × 360 days / year
+ 6 months × 30 days / month
+ 13 days

t = 1,993 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 =


(4,754.00 × 10.00% × 1,993) ÷ 360 =


4,754.00 × 10.00 ÷ 100 × 1,993 ÷ 360 =


(4,754.00 × 10.00 × 1,993) ÷ (360 × 100) =


94,747,220.00 ÷ 36,000 ≈


2,631.867222222222 ≈


2,631.87


[4] V = Amount earned:

V = P + I =


4,754.00 + 2,631.87 =


7,385.87


[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 -- -- 4,754.00
1 30 39.62 39.62 4,793.62
2 30 39.62 79.23 4,833.23
3 30 39.62 118.85 4,872.85
4 30 39.62 158.47 4,912.47
5 30 39.62 198.08 4,952.08
6 30 39.62 237.70 4,991.70
7 30 39.62 277.32 5,031.32
8 30 39.62 316.93 5,070.93
9 30 39.62 356.55 5,110.55
10 30 39.62 396.17 5,150.17
11 30 39.62 435.78 5,189.78
12 30 39.62 475.40 5,229.40
13 30 39.62 515.02 5,269.02
14 30 39.62 554.63 5,308.63
15 30 39.62 594.25 5,348.25
16 30 39.62 633.87 5,387.87
17 30 39.62 673.48 5,427.48
18 30 39.62 713.10 5,467.10
19 30 39.62 752.72 5,506.72
20 30 39.62 792.33 5,546.33
21 30 39.62 831.95 5,585.95
22 30 39.62 871.57 5,625.57
23 30 39.62 911.18 5,665.18
24 30 39.62 950.80 5,704.80
25 30 39.62 990.42 5,744.42
26 30 39.62 1,030.03 5,784.03
27 30 39.62 1,069.65 5,823.65
28 30 39.62 1,109.27 5,863.27
29 30 39.62 1,148.88 5,902.88
30 30 39.62 1,188.50 5,942.50
31 30 39.62 1,228.12 5,982.12
32 30 39.62 1,267.73 6,021.73
33 30 39.62 1,307.35 6,061.35
34 30 39.62 1,346.97 6,100.97
35 30 39.62 1,386.58 6,140.58
36 30 39.62 1,426.20 6,180.20
37 30 39.62 1,465.82 6,219.82
38 30 39.62 1,505.43 6,259.43
39 30 39.62 1,545.05 6,299.05
40 30 39.62 1,584.67 6,338.67
41 30 39.62 1,624.29 6,378.29
42 30 39.62 1,663.90 6,417.90
43 30 39.62 1,703.52 6,457.52
44 30 39.62 1,743.14 6,497.14
45 30 39.62 1,782.75 6,536.75
46 30 39.62 1,822.37 6,576.37
47 30 39.62 1,861.99 6,615.99
48 30 39.62 1,901.60 6,655.60
49 30 39.62 1,941.22 6,695.22
50 30 39.62 1,980.84 6,734.84
51 30 39.62 2,020.45 6,774.45
52 30 39.62 2,060.07 6,814.07
53 30 39.62 2,099.69 6,853.69
54 30 39.62 2,139.30 6,893.30
55 30 39.62 2,178.92 6,932.92
56 30 39.62 2,218.54 6,972.54
57 30 39.62 2,258.15 7,012.15
58 30 39.62 2,297.77 7,051.77
59 30 39.62 2,337.39 7,091.39
60 30 39.62 2,377.00 7,131.00
61 30 39.62 2,416.62 7,170.62
62 30 39.62 2,456.24 7,210.24
63 30 39.62 2,495.85 7,249.85
64 30 39.62 2,535.47 7,289.47
65 30 39.62 2,575.09 7,329.09
66 30 39.62 2,614.70 7,368.70
67 13 17.17 2,631.87 7,385.87
Month Days Interest Total
interest
Balance

Answer:

Principal (initial amount) = 4,754.00

Amount earned = 7,385.87

Simple interest amount = 2,631.87


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