M= 95-120 / 50-100 = -25 / -50 = 1/2
I used the formula m= y2 - y1 / x2 - x1
profit, p = 6 × $50 = $300
losses, l = 120 + 30 + 200 = $350
overall = p - l = -$50
loss of $50
5 boys play both hockey and volleyball (30-20-15=5)
Answer:
5³
Step-by-step explanation:
125 = 5 × 5 × 5 = 5³
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
