I am Published

Solving for unknowns

Question














Solve for x: | 4 - x | = 0
Solve for x: | x - 4 | + 3 = 9
Solve for x: | -3x + 4 | = | -x + 2 |
Solve for x: | x + 2 | = | 2 - x |




Solution

Solve for x: | 4 - x | = 0

x=4
Test

|4-4|=0
|0| = 0
 0 = 0

Solve for x: | x - 4 | + 3 = 9

1. |x-4|=9-3


2. |x-4|=6


3. x=-2


4. x=10


5. Test

x=-2
 | -2 - 4 | + 3 = 9
 | -6 | + 3 = 9
 6 + 3 = 9
 9 = 9
x=10
| x - 4 | + 3 = 9
| 10 - 4 | + 3 = 9
| 6 | + 3 = 9
 6 + 3 = 9
 9 = 9

Solve for x: | -3x + 4 | = | -x + 2 |

x=1
Test

| -3*1 + 4 | = | -1 + 2 |
| -3 + 4 | = | 1  |
| 1 | = | 1  |
1  = 1

Solve for x: | x + 2 | = | 2 - x |

x=0
Test

| 0 + 2 | = | 2 - 0 |
| 2 | = | 2|
2=2

Please do not forget to leave a feedback in Allexperts.com AND a comment in this blog.

Solving unknowns

Question
3-4k+5(k-6)=2
Solve for k




Solution

3-4k+5k-30=2
5k-4k+3-30=2
k-27=2
k=2+27
k=29

Please do not forget to leave a feedback in Allexperts.com AND a comment in this blog.

Perimeter of a rectangle

Question
Rectangular garden is 85 meter long and 57 meter broad. Trees are to be planted around the garden at a distance of 5 meter having a distance of 4 meter the start. How many such trees can be planted




Solution
Procedure 1

compute for the perimeter of the rectangle that is available for tree planting

L: 85 meter - 4 meter = 81 meter

W: 57 meter 4 meter = 53 meter
Procedure 2

The perimeter of a rectangle is computed by 2L + 2W

2 (81 meter) + 2 (53 meter)

162 meter + 106 meter = 268 meter
Procedure 3

How many meters can be planted?

268 meter / 5 meter = 53 trees

Please do not forget to leave a feedback in Allexperts.com AND a comment in this blog.

Interest rate compounded continuous

Question
If you invest $6,700 in an account paying 8.5% compounded continuously, how much money will be in the account at the end of 4.5 years?



Solution
Solution 1
Investment (1 + interest rate)time
$6,700 (1.085)4.5
$6,700 (1.44356)
$9,671.83



Solution 2

Year
Investment
Interest
Balance
1
$6,700.00
$569.501
$7,269.50
2
$7,269.50
$617.91
$7,887.41
3
$7,887.41
$670.23
$8,557.64
4
$8,557.64
$727.40
$9,279.04
4.5
$9,279.04
$394.36
$9,673.40

NOTE: The difference in the final answers are due to rounding off.

Please do not forget to leave a feedback in Allexperts.com AND a comment in this blog. ALSO, if you want a copy of the Excel file for the above table, please say so in a comment in this post.