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Find the difference between the following dates:

41. April 6, 1905, May 1, 1907.

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44. July 4, 1776, January 1, 1920. 45. September 6, 1906, April 4, 1908. 46. June 7, 1907, September 2, 1909. 47. September 4, 1906, April 2, 1908.

48. August 2, 1908, February 1, 1910.

49. If a watch gains 13 sec. a day, how much will it gain in January?

50. July 4, 1912, falls on Thursday. On what day does April 1 of that year fall?

51. How many hours from 7 P.M., February 28, to 9 A.M., March 1, in a leap year?

52. If a watch loses 17 sec. a day, and is set correctly at noon July 1, what time will it indicate at noon August 1?

53. A piece of oak 12' x 9" x 6" weighs how many times as much as one 8' 3" x 8" x 4"?

54. A man can row across a lake, 23 mi., in 28 min. At this rate, how long will it take him to row the length of the lake, 61 mi.?

55. How many days from April 17 to July 16? from January 23 to September 10? from August 27 to December 5? (Give the exact number.)

56. Make a diagram of the parts of a room 18 ft. long, 15 ft. wide, and 9 ft. 6 in. high, that are usually plastered. Not allowing for openings and baseboard, how many square

II. SIMPLE INTEREST. RATIO AND PROPORTION

SIMPLE INTEREST

294. Finding interest. We have found the interest on money, at various rates, for one year, and also for half of a year. We shall now find it for other lengths of time.

ORAL EXERCISE

1. If the interest for 1 yr. is $16, how much is it for yr.? for yr.? for yr.?

2. If the interest for 1 yr. is $24, how much is it for 1 mo.? for 3 mo.? for 11 mo.?

3. If the interest for 1 yr. is $8, how much is it for 3 yr.? for 5 yr.? for 7 yr.? for 8 yr. ?

4. At 6%, how much is the interest on $500 for 1 yr.? for 4 mo.? for 2 yr.? for 6 mo.? for 3 yr.?

WRITTEN EXERCISE

1. What is the interest on

$436, at 6%, for 1 yr.? for 6 mo.? for 4 mo.? for 8 mo.? for 10 mo.?

2. What is the interest on $360, at 5%, for 1 yr.? for 6 mo.? for 10 mo.? for 1 mo.? for 9 mo.?

3. If the interest on a certain sum is $93.84 for 1 yr., how much is it for 3 mo.? for 6 mo.? for 9 mo.?

4. If the interest on a certain sum is $36.48 for 1 yr., how much is it for 1 mo.? for 5 mo. ? for 10 mo.?

5. What is the interest on $540, at 4%, for 1 yr.? for 1 mo.? formo.? for 5 da.? for 1 da.? for 1 wk.?

6. What is the interest on $175.50, at 4%, for 1 yr.?

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295. Interest for years and months. We have seen that to find the interest for 2 yr. 6 mo., we find the interest for 1 yr., and multiply by 2. That is,

Find the interest for 1 year, and multiply by the number of years.

Thus, to find the interest on $125 for 2 yr. 3 mo.

at 5%.

1. 5% of $125

$125

.05

$6.25

21

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2. 21 times $6.25 = $14.06, “

WRITTEN EXERCISE

1. $250, 6%, 6 mo.
3. $8200, 51%, 21 yr.
5. $35, 6%, 1 yr. 6 mo.
7. $750, 5%, 2 yr. 4 mo.

2. $300, 51%, 8 mo.
4. $625, 4%, 3 yr. 6 mo.
6. $45.50, 4%, 2 yr. 3 mo.
8. $75.50, 6%, 2 yr. 6 mo.

296. Interest for years, months, and days. Suppose one man borrows from another $400 on September 10, 1904, at 6%. What will the interest amount to on August 7, 1907 ?

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Find the interest as directed in Exs. 1-12:

1. $325, 1 yr. 8 mo. 5 da., 5%.

2. $300, 1 yr. 4 mo. 15 da., 6%.

3. $200, 3 yr. 6 mo. 10 da., 6%.

4. $150, 1 yr. 3 mo. 20 da., 5%.
5. $250, 2 yr. 3 mo. 10 da., 4%.
6. $475, 3 yr. 6 mo. 15 da., 6%.
7. $850, 2 yr. 7 mo. 6 da., 41%.
8. $2500, 3 yr. 3 mo. 3 da., 3%.

9. $775, 1 yr. 6 mo. 24 da., 31%.

10. $75, 4%, June 9, 1906 to May 2, 1908.
11. $225, 5%, July 8, 1908 to April 3, 1910.
12. $2000, 3%, May 7, 1907 to March 4, 1909.

13. If I borrow $50, at 6%, on February 8 of this year, how much will be due on May 2 of next year?

14. If Mr. Roberts borrows $350 from Mr. Bugbee, at 4%, on September 25 of this year, how much principal and

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