Answer:
Step-by-step explanation:
-x+1/4×+14
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:
an + 1 = an + 2n -1 ,a 1=1
a8= 50
Step-by-step explanation:
an+1=an+2n-1,a1=1
a6=a5+2x5-1
a6=26
a7=26+11
a7=37
a8=37+13
a8=50
Find r :
C=2πr
280=2(3.14)r
r=280/2(3.14)
r=44.6cm
find area :
A=πr²
A=3.14(44.6)²
A=6246 cm²
Answer : 4)6,246
