Answer:
Step-by-step explanation:
Given
x = hours spent on cardiovascular work
y = hours spent on weight training
From the first statement,
Each week: he spends at least 9 hours
This is represented as:
From the second statement,
Each week: he spends a max of 12 hours on weights
This is represented as:
From the third statement,
Each week: he spends a max of 6 hours on cardio works
This is represented as:
So, the inequalities are:
See attachment for the graph where the solution are also highlighted
From the attachment, the solutions are:
85 ounces because there are 16oz in 1lb. 85/16 is 5.31
Answer:
The plates will not fit into the box.
Step-by-step explanation:
Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of 
.
Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.
What we want to figure out now is the height of the cylindrical box <em>to see if it is greater than or equal to 4 inches</em>—<em>the height of the stack of plates. </em>
The volume of a cylinder is 
, and since for our cylindrical box the volume is 150 cubic inches; therefore,
putting in 
and solving for height 
we get
,
which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.
Answer:
FV= £13,131.66
Step-by-step explanation:
Giving the following information:
Initial Investment (PV)= £10,000
Interest rate (i)= 5.6%
Number of periods (n)= 5 years
<u>To calculate the future value (FV), we need to use the following formula:</u>
<u></u>
FV= PV*(1 + i)^n
FV= 10,000*(1.056^5)
FV= £13,131.66
