Answer:
y = 1500 - 63x. See the attached for a graph.
Step-by-step explanation:
Each withdrawal will total $63, which includes $60 cash and a $3 fee. Then x withdrawals will total 63x dollars. This amount is subtracted from the initial account balance of 1500 to give the amount remaining.
If y represents the account balance, the equation can be written as
... y = 1500 -63x
The graph will have a y-intercept of 1500, and a slope of -63.
The mathematical word describing both and
in the expression
is "<u><em>addition</em></u>"
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For the given case, the terms were and
and the expression formed from them is
This means both the terms were added together, as denoted by '+' (called 'plus') sign.
When two terms are written with 'plus' sign in between, then that means they're added to each other and the result will be addition of both of their's values.
Thus, the mathematical word describing both and
in the expression
is <u><em>addition</em></u>"
Learn more about addition here:
Answer:
Radius =6.518 feet
Height = 26.074 feet
Step-by-step explanation:
The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder
Volume of a Hemisphere
Volume of a Cylinder
Therefore:
The Volume of the Solid formed
Area of the Hemisphere =
Curved Surface Area of the Cylinder =
Total Surface Area=
Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.
Therefore total Cost, C
Recall:
Therefore:
The minimum cost occurs at the point where the derivative equals zero.
Recall:
Therefore, the dimensions that will minimize the cost are:
Radius =6.518 feet
Height = 26.074 feet