Calculate The Due Simple Flat Rate Interest Earned by a Principal of 1,709.00 (Dollar, Euro, Pound, ...), 5.00% Annual Interest Rate, for a Period With The Duration of 7 months and 14 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 = 1,709.00 units (Dollar, Euro, Pound, etc.)


r = Annual simple interest rate, r = 5.00%


t = Duration of the investment, in days
t = 7 months and 14 days

t =

+ 7 months × 30 days / month
+ 14 days

t = 224 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 =


(1,709.00 × 5.00% × 224) ÷ 360 =


1,709.00 × 5.00 ÷ 100 × 224 ÷ 360 =


(1,709.00 × 5.00 × 224) ÷ (360 × 100) =


1,914,080.00 ÷ 36,000 ≈


53.168888888889 ≈


53.17


[4] V = Amount earned:

V = P + I =


1,709.00 + 53.17 =


1,762.17


[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 -- -- 1,709.00
1 30 7.12 7.12 1,716.12
2 30 7.12 14.24 1,723.24
3 30 7.12 21.36 1,730.36
4 30 7.12 28.48 1,737.48
5 30 7.12 35.60 1,744.60
6 30 7.12 42.73 1,751.73
7 30 7.12 49.85 1,758.85
8 14 3.32 53.17 1,762.17
Month Days Interest Total
interest
Balance

Answer:

Principal (initial amount) = 1,709.00

Amount earned = 1,762.17

Simple interest amount = 53.17


More operations of this kind

Calculate simple flat rate interest on a principal borrowed, lent

Simple Interest Amount = (Principal × Annual Simple Interest Rate × Duration in days) ÷ Number of days in a year

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