Let the shortest side be x. Then the other two sides will be x+1 and x+2.
Perimeter = P = sum of the lengths of all three sides = x + (x+1) + (x+2)
This perimeter = 4x -1 (1 less than 4 times the shortest side).
Then x + x + 1 + x + 2 = 4x - 1
or: 3x + 3 = 4x -1 Subtr. 3x from both sides:
3 = x - 1
x=4, x+1=5, and x+2=6
The 3 sides have lengths 4, 5 and 6.
<h3>Answer:</h3>
length: 7 ft
width: 5 ft
<h3>Explanation:</h3>
Your familiarity with times tables tells you that 35 = 5×7. Checking, you find that 7 = 3×5 - 8, so you know that these values (5, 7) are the width and length of the rectangle (in feet).
Answer: sometimes!
Step-by-step explanation: I hope this helps!
Answer:
d) $8,100
Step-by-step explanation:
Given information:
- Money triples every 10 years
- Initial deposit = $100
- Number of years invested = 40 years
If the money triples (multiplies by 3) every 10 years,
then in 40 years time it will triple <u>4 times</u>, as 40 ÷ 10 = 4
⇒ Account balance after 40 years = $100 × 3 × 3 × 3 × 3
= $100 × 3⁴
= $8,100
<u>Proof</u>
In 10 years time the balance of the account will be:
$100 x 3 = $300
In another 10 years time, the balance of the account will be:
$300 x 3 = $900
In another 10 years time, the balance of the account will be:
$900 x 3 = $2700
In another 10 years time, the balance of the account will be:
$2700 x 3 = $8100
