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
Answer: (-2/3 , 3) is the answer
What is the median of the following numbers? 4, 5, 5, 2, 1, 3, 4, 5, 4, 4, 4, 7
Katen [24]
Answer:
4
Step-by-step explanation:
Rewrite is order going from least to greatest.
1, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 7
Find the middle number.
Because there are an even amount of numbers you have to take the two middle numbers which are 4 and 4 add them which gives you 8 and then divide that by 2( because you added two numbers.)
Therefore the answer is 4
So you subtitute y=3x into
2x+y=15
so
2x+(3x)=15
add like terms
5x=15
divide both sides by 5
x=3
subtitute x=3 into first equation (y=3x)
y=3(3)
y=9
