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The teacher that wishes other examples of this kind can use 9 and 10 of Art. 1309, and 12, 14, and 15 of Art. 1310, the answers to which are as follows: Art. 1309. 9. $1734. 10. $738.29. Art. 1310. 12. $1901.18. 14. $3432.20. 15. $1010.95.

1309. Pupils in New Hampshire should not be taught the preceding method, but should be confined to the rule laid down by the courts of their own state.

An examination of 8 will show the manner of ascertaining the balance. The interest for 1 year is $36. As no interest is due except that which accrued during the year, and as the sum paid is less than the interest due, no interest is allowed on the payment of $30, made during the year. This payment being $6 less than the interest due at the end of the year, the interest on $6 is added to the interest on the principal at the end of the next year, making a total of $642.36 then due less the amount of $100 for 11 months. Interest is allowed on the $100 payment because it is in excess of the interest then due.

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NOTE. — The amount of the payment of March 14 canceled the $3 interest on interest and $7.48 additional, leaving $102.52 interest still unpaid Jan. 3, 1897 on which two years' interest is taken to Jan. 3, 1899. Two years' interest on the principal is also taken, and one year's interest on the annual interest due Jan. 3, 1898 and unpaid. It will be noticed that no interest is taken on the interest upon interest, $3 and $6.15. See 14 of Art. 1310, as calculated by the N.H. rule :

Principal

Interest to March 17, 1900, 4 yr.

$3000.00

$720.00

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Interest on $180 (3+3 +3 +3 + 2 + 1) yr. 162.00

205.80

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As additional examples, the teacher may use 7 of Art. 1308, and 12, 14, and 15 of Art. 1310. The answers by the N.H. method are 7, $767.60; 12, $1901.27; 14, $3435.80; 15, $ 1011.40.

1310. Vermont pupils should omit Arts. 1307, 1308, and 1309.

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As additional examples, 7 and 9 may be used. The answer to 7 by the Vermont rule is $766.75; to 9, $1733.73.

1311. 1. [($8500 +$600) x .0155]+$2-$141.05. Ans. 2. The amount to be raised on property = $2500 - ($2 × 150) = $2200. Rate on $1 = $2200 ÷ 275000 = $.008, or 8 mills. 8 mills on $1, or %. Ans.

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4. Mr. Simmons' grand list = $95+$2-$97. Tax $2.45 × 97 $237.65. Ans.

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5. 1500+2x= grand list. The grand list multiplied by the rate gives the amount to be raised; (1500+2x) × 2 = 3600; 3000+4x=3600; 4x=600; x = 150. 150 taxable polls. Ans.

6. Mr. Hallock's grand list = $120 +$6-$126. Since his taxes are $252, the rate = $252 126 = $2.

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Appraised value of property is $300000. Ans.

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