The snowman is made of 3 spheres (balls) of snow. The diameters, from top to bottom, are 12, 16, 18 inches
Therefore, the radii of the 3 spheres are, respectively, 6, 8, and 9 inches.
The volume of a sphere of radius, r, is given by the formula: V = 4/3 π r3
So, the total volume of snow is the sum of the 3 volumes: V = 4/3 π (63 + 83 + 93)
= 4/3 π (1,457)
=6,099.97
Your answer would be D. 6,099.97
I hope this helps!
Answer:
40 minutes
2/3 hours
0.667 hour
2,400 seconds
Step-by-step explanation:
Since z is GREATER THAN two angles in the triangle it must be obtuse..
meaning it is GREATER THAN 90 degrees this means that the other two angles cannot equal 90 degrees they have to be less
m∠X + m∠Y < 90°
Current amount in account
P=36948.61
Future value of this amount after n years at i=11% annual interest
F1=P(1+i)^n
=36948.61(1.11)^n
Future value of $3000 annual deposits after n years at i=11%
F2=A((1+i)^n-1)/i
=3000(1.11^n-1)/0.11
We'd like to have F1+F2=280000, so forming following equation:
F1+F2=280000
=>
36948.61(1.11)^n+3000(1.11^n-1)/0.11=280000
We can solve this by trial and error.
The rule of 72 tells us that money at 11% deposited will double in 72/11=6.5 years, approximately.
The initial amount of 36948.61 will become 4 times as much in 13 years, equal to approximately 147800 by then.
Meanwhile the 3000 a year for 13 years has a total of 39000. It will only grow about half as fast, namely doubling in about 13 years, or worth 78000.
Future value at 13 years = 147800+78000=225800.
That will take approximately 2 more years, or 225800*1.11^2=278000.
So our first guess is 15 years, and calculate the target amount
=36948.61(1.11)^15+3000(1.11^15-1)/0.11
=280000.01, right on.
So it takes 15.00 years to reach the goal of 280000 years.
