Page:Cyclopaedia, Chambers - Volume 2.djvu/41

 IN

( 3P7 )

IN

SHILLINGS, PENCE, and FARTHINGS, reduced to the Decimal Parts of a P O U N D.

s.

d.

—

4

' —

« f

—

i

—

--it

—

—if

—

-1-1

—

-2j

—

-2-|

1 —

-3

—

-3 4

—

-3f

—

—

-4

—

-4-?

—

-4f

"

-4'-

—

-Ji-

—

-57

—

-si

-6

— 6i ~6i

—

-6}

~7

Decimal Parts of a Pound-

001042

002083

•003125

.004167

.005208

. 00625

.007292

.008333

.009375

.010417

.011458

.0125

.013542

.014583

.015625 j

.016667!

.017708

.01875

.019792

.020833

.021875

■022917

■02395S

.025

■026042

•027003

•0281 25

•029167

s.

d.

—

-77

—

-7-i

. —

-8

—

.-si

, —

~8i

—

-8 ';

—

-9

— -

~9-,-

-9i

-9 A

—

—

10

— '

io ;

—

loJ-

—

10A

4

—

11

—

IJ 7

—

II t

—

11 >-

—I

—

— I

4

— I

— i

—I

i

—I

—1

—I

— 1 4

— I

—if

— -I

-i-i

—I

— 2

Decimal

1

Decimal

Parts of 1 Pound.

S.

d.

Parts of

j-.



.094792

035417

— I

"H

.065625

— 1

11

.095833

036458

— I

-4

.066667

--1

"t

.096875

0375

--I

-4i

.067708

--1

nf

.097917

038542

-I

-4i

.06875

— 1

".-

.098958

039583

— I

-4-i-

.069792

—2

—

.1

.040625

— I

~5

.070833

-3

—

• J 5

041667

— I

-5t

.071875

-4

—

.2

042708

— I

Si

.072917

-5

— ■

.25

•04375

— I

-5-i

.073958

-6

—

• 3

.044792

— I

-6

.075

-7

—

■35

.045833

— I

-6-4

.076042

-8

—

•4

.046875

-I

--67

.077083

-9

—

■45

.047917

— I

-6-,-

.078125

10

—

.5

.o 4 Sp;8

— I

-7

.079167

1 1

—

•55

.05

— I

-74

.080208

12

—.

.6

.051042

— I

-7"?

.08125

'3

—

.65

.052083

— I

-7i-

.082292

14

—

•7

.053125

--I

-8

.083333

15

—

T

.954167

~-I

--84

.084375

16

—

.05520S

— I

-87

.085417

17

—

.85

.05625

— I

-Si

.086458

18

—



.05729:

-9

.0875

19

—

M>5

•05 8333

— I

-9*

.088542

Examples of the Ufe of the preceding TABLE. As for Example, what is the Intereft of 1 50 7 for -64

Days at 6 /. ^er Coir. ' ' '

What Decimal Part of a Pound is 7 d*. Look in the Ta ble for 7 d. and even with it you will find 029167, which is the Decimal required. What Decimal Part of a Pound is 17 s. 6di. You will find the Decimal of 17 J. -to be 85, and the Decimal of 6 <i. to be 025 ; which added, makes 875. and anfwers the Queftion. What is the Value of this Decimal .09575 in Shilling 5. Pence, and Farthings? Look in the Table, and you will find it to be 1 1. 10 d. {. Obferve, that if you cannot find in the Table the exact Decimal fought for, to take that which is neareil to it, and you can never err above half a Farthing. Knowing thus the Ufe of thefe Decimal Tables, all the Bufinefsof Sim- ple Intereft will be very eafily underftood, and difpatched as followeth.

The yearly Intereft of any Sum of Money is had; by only multiplying the principal Sum by the hundredth Part of the Rate of Intereft: For the Product in Decimals^ is the true Anfwer. For Example, what is the Intereft of 7 5 /. for one Year, at the Rate of fix per Cent ? 75 = Principal. 06 = the hundredth Part of 61.

/. ;. rf;

4.50 the Product, which is 4 10 co

What is the yearly Intereft of 157 I. 17 s. 6 d. at 5 /. per cent ? 157-875 is the Decimal for 157 h 17 s. 6 d. 05 the Hundredth Part of five Pounds.

7.89575 which is the Decimal anfwering to -j I. 171.

10 d. i, the Intereft of 157 I. i? s- 6 d. for one

Year at 5 /. per Cent, and fo for any other Rate or Sum

00002739726028 'jo.

410958904200 __3«5

150000000033000 6

whatfoever. When thus the Intereft for one Year is found, divide it by 3S5, and the Quotient will be the Intereft for one Day. Thus 01 being the Intereft of one Pound for one Year, if you divide that Decimal by 365, (continuing the Work as long as you pleafe)you will have 00002739726028; l£c. fur a Quotient, which will be the Intereft of one Pound for one Day, and at one per Cent. Then will this Decimal 000017, we. found as above, if you multiply it continually by the Principal, the Number of Days, and the Rate of Intereft, become ofitfelf an I»rere/f-Table for any Sum of Money, for any Time, and at any Rate ;

9.00000000198000, which Decimal gives the Anfwer, near enough for any Ufe, to be nine Pounds.

By the fame Rule .0: divided by 365, will give, in the Quotient, the Intereft of one Pound for one Day, at a perCent. and 03, divided by 365, will do the fame at i per Cent, and thus thefe Numbers following were found.

The Intereft of one Pound for one Day, at all Rates from 1 to 10 per Cent.

At 1 /. per Cent, is 0000273972150, He. asabove;

2 000054794512

5— •00C0821J178 1

4 000 1 09 5 8904 1

5 — ' 000136986-301

6 — — ■ 000164383562

7 • — oco 19 1 7 80822

8— -^--0002 19 1 7 8082

9 000246575342

10 000273972603, Site.

And when thus the Intereft of one Pound for one Day and any Rate is found, then that Intereft, multiplied by 2, 3, 4, 5, 6, 7, 8, and 9, gjc. gives the Intereft of any Sum of Money at the fame Rate.

Take an Example at 3 I. per Cent.

Intereft of 1 !. for 1 Day is 00008219178

2 00016458356"

3 00024657534

4 '0005287671*

5-^- 00041095890

6- CO049 3 1 5068

7 -00057534245

8 -00065753424

9 --0073972602,

I i i i i And