1. What is the compound interest on $450 for 4 yr. 3 mo. 15 d. at 4%?

NOTE:- First find the amount for the whole periods, 4 yr. the interest on this amount for the remaining time, 3 mo. 15 d.

Then find

2. What is the difference between the simple and compound interest on $500 for 5 yr. 6 mo. 18 d. at 6%?

Find the compound interest on:

3. $4500 for 2 yr. 6 mo. at 31%.
4. $1278 for 3 yr. 9 mo. at 4%.
5. $2576 for 4 yr. 2 mo. 12 d. at 5%.
6. $728 for 2 yr. 9 mo. 24 d. at 3%.
7. $6793 for 3 yr. 6 mo. 15 d. at 4%.

8. Find the compound interest on $600 for 1 yr. 9 mo. at 4% annually, compounded semi-annually.

$600

1st Principal. 12.00 Int. for 1st period. $612.00 2d principal. 12.24 Int. for 2d period. $624.24 3d principal. 12.484 Int. for 3d period. $636.724 4th principal.

6.367 Int. for 3 mo. $643.091 Compound amount. 600.00 1st principal.

$43.09 Compound interest.

Since the rate is 4% compounded semi-annually, there will be 3 full periods of 6 mo. each, and the rate for each period will be 2%. This gives us $636.724 as our amount. Find the simple interest on this sum for the remaining 3 mo. at 4%.

Find the compound interest on:

9. $1678 for 2 yr. 5 mo. at 6%, compounded semiannually.

10. $550 for 1 yr. 4 mo. at 4%, compounded quarterly. 11. $1248 for 4 yr. 6 mo. at 4%, compounded semiannually.

12. $4124 for 3 yr. 3 mo. at 6%, compounded quarterly.

Bankers always find both simple and compound interest by means of tables.

COMPOUND INTEREST TABLE

AMOUNT OF $1, AT VARIOUS RATES, COMPOUND INTEREST, 1 TO 20 YEARS

10

1.015000 1.020000 1.025000 1.030000 1.040000 1.050000 1.060000 1.030225 1.040400 1.050625 1.060900 1.081600 1.102500 1.123600 1.045678 1.061208 1.076891 1.092727 1.124864 1.157625 1.191016 1.061364 1.082432 1.103813 1.125509 1.169859 1.215506 1.262477 1.077284 1.104081 1.131408 1.159274 1.216653 1.276282 1.338226 1.093443 1.126162 1.159693 1.194052 1.265319 1.340096 1.418519 7 1.109845 1.148686 1.188686 1.229874 1.315932 1.407100 1.503630 1.126493 1.171659 1.218403 1.266770 1.368569 1.477455 1.593848 1.143390 1.195093 1.248863 1.304773 1.423312 1.551328 1.689479 1.160541 1.218994 1.280085 1.343916 1.480244 1.628895 1.790848 1.177949 1.243374 1.312087 1.384234 1.539454 1.710339 1.898299 1.195618 1.268242 1.344889 1.425761 1.601032 1.795856 2.012197 1.213552 1.293607 1.378511 1.468534|1.665074 1.885649 2.132928 1.231756 1.319479 1.412974 1.512590 1.731676 1.979932 2.260904 1.250232 1.345868 1.448298 1.557967 1.800944 2.078928 2.396558 1.268986 1.372786 1.484506 1.604706 1.872981 2.182875 2.540352 1.288020 1.400241 1.521618 1.652848 1.947901 2.292018 2.692773 1.307341 1.428246 1.559659 1.702433 2.025817 2.406619 2.854339 1.326951 1.456811 1.598650 1.753506 2.106849 2.526950 3.025600 1.346855 1.485947 1.638616 1.806111 2.191123 2.653298 3.207136

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1. Find the compound interest on $700 for 14 yr. 4 mo. at 4%.

From the table we find that the amount of $1 at 4% compound interest for 14 yr. is $1.731676. The amount of $700 for the same time and rate must be 700 times $1.731676 = $1212.173. Find the amount on this sum for 4 mo. at 4%.

2. Find the compound interest on $2200 for 15 yr. 6 mo. at 5%.

3. Find the compound interest on $480 for 9 yr. at 5%, compounded semi-annually. This is the same as for 18 yr. at 21%.

4. Find the compound interest on $1850 for 5 yr. 6 mo. at 6%, compounded quarterly. This is the same as for 22 yr. at 11%.

1. What dimensions of a triangle do you need to know to find its area?

2. How do you find the perimeter of a triangle?

3. What dimensions of a square or a rectangle must be known to find its area?

4. Given the perimeter of a square, how do you find its area?

5. Given the perimeter and length of a rectangle, how do you find its width? How do you find its area?

6. What is a parallelogram? What dimensions do you need to know to find its area?

7. Given the area and width of a parallelogram, what can be found? How can you find it?

8. Given the area of a triangle and its altitude, what can you find? How can you find it?

9. Given the diameter of a circle, how can you find its area?

10. Given the circumference of a circle, how can you find its area?

11. What 3 things do you need to know to find out the number of yards of carpet required for any room?

12. What 3 things do you need to know to find out how many square feet of plastering are needed for any room?

13. What dimensions of a rectangular solid do you need to know to find its volume?

14. Given the volume and two dimensions of a rectangular solid, how do you find the other dimensions?

15. Given the height and diameter of a cylinder, what can you find? How can you find it?

16. Given the volume and diameter of a cylinder, what can you find? How can you find it?

17. How would you estimate the number of bricks needed for a straight wall? Needed for a house?

1. Place a cube on your desk. How many dimensions has it? How many faces has it?

2. These faces are called its surfaces. A surface is a boundary of a solid. Define surface.

3. How many dimensions has each surface?

4. Surfaces are bounded by edges called lines. A line is the limit of a surface, or it is the path traced by a point as it moves from one position to another. To read a line we usually use two letters, naming the starting-point first.

5. How many dimensions has a line?

6. How are the lines of a cube limited?

7. A point is the limit of a line and has no extent, only position. Define point.

8. In the cube how many faces meet to form a line?

9. Each face is bounded by how many lines? If the cube has six faces, and each face has four lines, how many lines has the cube? Why is not the number 24?

10. How many lines meet at each point? If the cube has 12 lines, and each line has two points, how many points has the cube? Why not twenty-four?

11. In a square prism, how many surfaces, lines, and points are there?

12. By how many lines is each surface bounded? How many surfaces meet in each line? How many lines meet at each point? Are the surfaces the same shape and size?

13. Examine in the same way a triangular prism and an hexagonal prism.

14. What kind of lines have you found on these solids? 15. A straight line is a line which has the same direction throughout its entire length.

17. Look at a cylinder. How many edges or lines has it? Are these lines straight? What are they?

1. Define a curved line. Write: A curved line is a line that constantly changes its direction.

2. Fasten a weight to one end of a cord. Hold the other end at rest on the hand. This is a plumb line, and

is said to be vertical.

3. Define a vertical line. Draw one.

4. A horizontal line is a line which has the direction of any line in the surface of still water. Practically it is a line that points towards the horizon.

5. Lines neither vertical nor horizontal are called inclined lines or oblique lines.

6. How are horizontal lines represented on paper? Vertical lines?

7. Hold your ruler vertically, horizontally, inclined. Draw on paper lines to represent these three positions. 8. Draw a vertical line, and through it two horizontal lines.

9. Draw two lines which have the same direction, that is, do not meet, however far extended. These lines are said to be parallel. Define parallel lines.

10. Draw two parallel straight lines. Two parallel curved lines.

11. Draw two parallel horizontal lines. Two parallel vertical lines.

12. Draw two lines not parallel. Prolong them till they meet.

13. This point of meeting is called their intersection. Define intersection.

14. Hold two pencils parallel. Hold them so they will intersect.

15. Are two vertical lines always parallel to each other? 16. Can two horizontal lines ever intersect each other? 17. Give examples of vertical and horizontal lines.