Show that the amounts of a sum of money put out at Compound Interest form a series in geometrical progression. 25. A certain number consists of three digits in geometrical progression. The sum of the digits is 13, and if 792 be added to the number, the... A Treatise on Elementary Algebra - Page 326by James Hamblin Smith - 1869Full view - About this book
| Barnard Smith - 1857 - 740 pages
...There is a number consisting of two figures, and it is equal to 4 times the sum of its digits ; if 18 be added to the number, the digits will be inverted. Find the number. 27. A certain sum of money is to be divided among a certain number of men ; if there were 3 men less,... | |
| Samuel H. Winter - 1864 - 348 pages
...the second as the second to the third: the number itself divided by the sum of its digits=1011>3-; and if 792 be added to the number the digits will be inverted. Find the number. 7. If two circles cut one another, show that there is a certain straight line, from any point of which... | |
| James Hamblin Smith - Algebra - 1870 - 478 pages
...consecutive terms, the sums of the sets will form a geometrical progression whose constant factor is rf. 22. Find five numbers in arithmetical progression,...a county increases in 4 years from 10000 to 14641 j what is the rate of increase ? XXXII. ON HARMONICAL PROGRESSION. 395. A Harmonical Progression is... | |
| James Hamblin Smith - Algebra - 1870 - 452 pages
...be represented algebraically by Ex. The sum of the digits composing a certain number is 5, and if 9 be added to the number the digits will be inverted. Find the number. Let lOx+y represent the number. Then x+y will represent the number of the digits, and lOy+a; will represent... | |
| James Hamblin Smith - Algebra - 1877 - 418 pages
...sum of the 2nd and 4th terms equals twice the product of the 1st and 2nd. Find the series. 24. Show that the amounts of a sum of money put out at Compound...inverted. Find the number. 26. The population of a com1ty increases in 4 years from 10000 to 14641 ; what is the rate of increase ? XXXII. ON HARMONICAL... | |
| James Hamblin Smith - Algebra - 1879 - 430 pages
...sum of the 2nd and 4th terms equals twice the product of the 1st and 2nd. Find the series. 24. Show that the amounts of a sum of money put out at Compound...from 10000 to 14641 ; what is the rate of increase ? XXXII. ON HARMONICAL PROGRESSION. 395. A Harmonical Progression is a series of numbers of which the... | |
| Webster Wells - Algebra - 1879 - 468 pages
...decreased by 8, be divided by the sum of the second and third digits, the result is 25 ; and if 99 be added to the number, the digits will be inverted. Find the number. Let x = the first digit, y — the second, and z — the third. Then, 100 x + 10 y + z = the number,... | |
| George Albert Wentworth - Algebra - 1881 - 400 pages
...geometrical by 18. Find the numbers. 20. There are four numbers in geometrical progression, the 21. A number consists of three digits in geometrical progression....13 ; and if 792 be added to the number, the digits in the units' and hundreds' places will be interchanged. Find the number. 394. When r< 1, a geometrical... | |
| James Hamblin Smith - 1883 - 466 pages
...algebraically by l00x+l0y + s. Ex. The sum of the digits composing a certain number is 5, and if 9 be added to the number the digits will be inverted. Find the number. Let l0x + y represent the number. Then x + y will represent the sum of the digits, and I0y + x will... | |
| George Albert Wentworth - Algebra - 1888 - 514 pages
...576 ; the arithmetical mean of the two numbers exceeds the geometrical by 6. Find the numbers. 34. A number consists of three digits in geometrical progression....13; and if 792 be added to the number, the digits in the units' and hundreds' places will be interchanged. Find the number. 35. Find an infinite geometrical... | |
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