Answer:
278.9 units^3 to the nearest tenth.
Step-by-step explanation:
This is a cylinder on the bottom . resting on the cylinder is a prism.
Volume of the cylinder = π r^2 h where r = 1/2 * 7 = 3.5 and h = 6.
V = π * 3.5^2 * 6 = 230.907 units^3.
Volume of the prism = l*w*h
= 4*4*3 = 48 units^3.
Volume of the composite figure = 230.907 + 48
= 278.9.
11183333.3/10^7 = 1.11x10^-7.
Given the two options above, in order to come up with the best plan we have to calculate the future value of money in each plan.
compound interest is given by:

Option 1
p=$500
r=2%=0.02
t=1 year

Option 2
p=$500
r=2/12=1/6
n=1*12=12
hence:

=$509.09
Comparing the two plans above, option 1 is the best.
b] Option 1 is the best because she will secure $510 as compared to option 2 which has interest rate that reduces her amount by $1 after one year due to annual charges. The total amount of money she will have at the end of the plan is $510.
Answer:
The answer is y= -1/3x-5
Step-by-step explanation:
(9, -8) and (-6, -3)
m= y²-y¹/x²-x1
m= (-3)-(-8)/(-6)-9
m= 5/-15
m=-1/3
y=mx+b
y=-1/3x+b
-3=-1/3(-6)+b
-3=2+b
-2 -2
-5=b
The answer is y=-1/3x-5