<em>x</em> = amount invested at 8 %. Then 23 000 - <em>x</em> = amount invested at 9 %
Annual income (<em>I</em>) = interest at 8 % + interest at 9 %
<em>I</em> = 0.08<em>x</em> + 0.09(23 000 – <em>x</em>)
<em>I</em> = 0.08<em>x</em> + 2070 – 0.09<em>x</em>
<em>I</em> = 2070 – 0.01<em>x</em>
To solve, set an equation:
First Number: x
Second Number: 2x
x+2x=36
3x=36
divide both sides by 3
x=13
First Number: (x) 12
Second Number: (2x) 24
Answers: 12 and 24
S = length of small side
M = length of medium side
L = length of long side
The triangle is scalene meaning that the three sides (S, M, L) are all different. If any two sides were equal, then we'd have an isosceles triangle. If all sides were the same, then the triangle would be equilateral.
"The longest side is twice that of the shortest side" tells us that L = 2*S
The longest side is given to be 6.2 cm, so L = 6.2 and we can find S to be...
L = 2*S
6.2 = 2*S
2*S = 6.2
S = 6.2/2
S = 3.1
The longest side is 6.2 leads to the shortest side being 3.1
Add up the three sides and set that sum equal to the perimeter 14.5
(short side) + (medium side) + (long side) = perimeter
S + M + L = 14.5
3.1 + M + 6.2 = 14.5
M + 9.3 = 14.5
It's not clear where your teacher wants you to stop, so this might be a good place. If you wanted, you can isolate M by subtracting 9.3 from both sides
Answer:
1900
Step-by-step explanation:
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