Step-by-step answer:
Given:
A triangle
Perimeter = 60 cm
longest side = 4* shortest side (x)
Solution:
longest side = 4x
shortest side = x
third (intermediate side = 60 -x -4x = 60-5x
The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence
x + y > 4x
x + 60-5x > 4x
60 - 4x > 4x
8x < 60
x < 60/8 = 7.5, or
x < 7.5
Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.
Examine the options: both 7 and 5 are both less than 7.5 cm.
40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.
Now also examine cases where 4x is NOT the longest side, in which case we need
4x>=y
or
4x >= 60-5x
9x >=60
x >= 6.67
so x=5 will not qualify, because 4x will no longer be the longest side.
The only valid option is x=7 cm
The side lengths for x=7 and x=5 are, respectively,
(7, 25, 28)
5, 20, 35 (in which case, the longest side is no longer 4x=20, so eliminated)
1 trillion can be written as 1,000,000,000,000
1 billion can be written as 1,000,000,000
There are 3 more 0’s in 1 trillion than there are in 1 billion, so therefore 1 trillion is 1,000 times greater than 1 billion.
If you have any further questions feel free to ask.
Hope this helps
1) The accumulated amount after six years and the total interest that Trevor will receive if the interest rate is 4.5% per annum simple interest after 6 years are <u>R25,400</u> and <u>R5,400</u> respectively.
2) The accumulated amount after six years and the total interest that Trevor will receive if the interest rate is 4.5% per annum compound interest after 6 years are<u> R26,045.20</u> and <u>R6,045.20</u> respectively.
<h3>Data and Calculations:</h3><h3>Simple Interest:</h3>
Principal = R20,000
Investment period = 6 years
Interest rate = 4.5%
Simple interest for 6 years = R5,400 ($20,000 x 6 x 4.5%)
Principal + Interest = R25,400 (R20,000 + R5,400)
<h3>Compound Interest:</h3>
Principal = R20,000
Investment period = 6 years
Interest rate = 4.5%
N (# of periods) = 6 years
I/Y (Interest per year) = 4.5%
PV (Present Value) = R20,000
PMT (Periodic Payment) = R0
<u>Results</u>:
FV = R26,045.20
Total Interest = R6,045.2
Learn more about simple and compound interests at brainly.com/question/3575751
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I had a question just like this I put 12x plus 18y plus 53 plus 1 and it worked
I believe it's ( 0 -2 )
Hope this helped!
