Given :
Han says that we can wrap a 5 foot rope around a wheel with a 2 foot rope.
To Find :
It this true or false.
Solution :
Radius of wheel, r = 1 foot.
Circumference of wheel is given by :

Since, circumference is greater than 5 foot, therefore, we cannot wrap a 5-foot rope around a wheel with a 2-foot diameter.
Hence, this is the required solution.
Answer:
It will take 10.63 years.
Step-by-step explanation:
Giving the following information:
Present value (PV)= $4,000
Future Value (FV)= $10,000
Interest rate (i)= 9% annual compounded
<u>To calculate the time required to reach $10,000, we need to use the following formula:</u>
n= ln(FV/PV) / ln(1+i)
n= number of years
n= ln(10,000 / 4,000) / ln(1.09)
n= 10.63
It will take 10.63 years.
X=-4y+2
3(-4y+2)+2y=11
-12y+6+2y=11
-10y+6=11
-6=-6
-10y=5
y=-1/2
3x+2(-1/2)=11
3x-1=11
+1=+1
3x=12
x=4
Solution:(-1/2,4)
1.

which is further simplified to

which is 20.
2.