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
.8 where cooked by the rooms combined 2) 25% pick blue and red
Answer: 15 feet
Step-by-step explanation:
From the question, we are informed that a diving board is 10 feet above a pool. Since the ladder is 5 feet away from the base of the diving board, to calculate how tall is the ladder is, we subtract -5 from 10. This will be:
= 10 - (-5)
= 10 + 5
= 15 feet
The answer is option C.
Answer:
The height of the triangle is 
cm.
Step-by-step explanation:
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The formula for solving the area of a triangle is 
where 
stands for base and 
stands for height.
Let's substitute 30 
for the area and 10 for the base.
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Now, let's solve to find the height.
Multiply 
times 
Divide both sides by 5.
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Hope this is helpful.
