Assuming simple interest (i.e. no compounding within first year), then
At 6%, interest = 10000*0.06=$600
At 9% interest = 10000*0.09 = $900
Two ways to find the ratio
method A. let x=proportion at 6%
then
600x+900(1-x)=684
Expand and solve
300x=900-684=216
x=216/300=0.72 or 72%
So 10000*0.72=7200 were invested at 6%
10000-7200=2800 were invested at 9%
method B: by proportions
Ratio of investments at 6% and 9%
= 900-684 : 684-600
=216 : 84
= 18 : 7
Amount invested at 6% = 18/(18+7) * 10000 = 0.72*10000 = 7200
Amount invested at 8% = 7/(18+7)*10000=0.28*10000=2800
X = 60°
Because the square in the corner tells you that it is 90° (right angle)
So your equation to solve for x would be...
x + 30 = 90
Now you need to isolate the x.
Subtract both sides by 30.
x + 0 = 90 - 30
x = 60
Answer:
3 a : 2 b = 6 : 1
Step-by-step explanation:
<em>
= 
</em>
<em>3 ( a + b) = 5 ( a - b)
</em>
<em>3 a + 3 b = 5 a - 5 b
</em>
<em>5 b + 3 b = 5 a - 3 a
</em>
<em>
8 b = 2 a
</em>
<em>
2 a = 8 b</em>
<em><u>a = 4 b</u></em>
<em>3 a = 3 × 4 b</em>
<em><u>3 a = 12 b</u></em>
<em>3 a: 2 b = 12 b : 2 b</em>
<em>3 a : 2 b = 6 : 1</em>
Answer:
Supplementary Angle's Theorem
Step-by-step explanation:
The supplementary angle theorem states that if two angles are said to be supplementary to the same angle, then the two angles are said to be congruent.
The answer would be $2.20 because if 10 minutes is $1.10 then add another 10 minute price to that and it’s $2.20.
