Which equation has the steepest graph? Answer Choices:
1 answer:
You might be interested in
The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.
- The interest earned after one year is <u>0.018·x</u>
Reasons:
The amount Paul has to invest = $900
The annual interest rate from the savings account = 1.8%
The amount the money market account pays per year = 4.2 %
Required: The polynomial for the interest Paul earned by investing <em>x</em> dollars in the savings account.
Solution:
The interest earned is found using the compound interest formula as follows;
Where;
A = The amount in the account after one year
P = The original amount invested = x
r = The interest rate offered on the investment = 1.8% = 0.018
t = The time of the investment = 1 year
n = The number of times of application of the interest per period = Once per year
Which gives;
Interest = Amount earned = A - P
Therefore;
Plugging in the values gives;
The polynomial equation is therefore;
Interest, I = 0.018·x
Using the simple interest formula, we have;
Which gives;
Interest earned by investing in the savings account for one year, I = 0.018·x
- The polynomial representing the interest earned is <u><em>I</em></u><u> = 0.018·x</u>
Learn more here:
Answer:
1. The answer of the radius of the cylinder is 1.127cm to produce the minimum surface area
2. The radius of the industrial tank is 1.465ft and the height is 662.396 ft
Step-by-step explanation:
<u>The first step</u> is to draw the shape and to determine the total surface area and the total volume of the shape. This is done by adding the total surface area of two hemispheres and the surface area of the cylinder and for the volume this is done by adding the volume of two hemispheres and the volume of the cylinder.
<u>The second step</u> is to make the total volume of the shape the constraint equation and the total surface area of the shape becomes the optimisation equation. From the constraint equation solve for h and make it in terms of r (you should advisable use V as a constant and finally substituting at the end). Thereafter, input the value of h in the optimisation equation and differentiate the equation with respect to r. Finally equate the equation to zero.
Third step involves solving for r
Now, for the second question, one has to double the total surface area of the hemispheres to provide the cost equation (this is done to take into account the higher costs of the hemispherical ends. Solve in the same way as the first and you will get the answer.
[KINDLY NOTE I TRIED TYPING THE SOLUTION BUT IT TOOK SO LONG THAT I GOT LOGGED OUT SO FIND ATTACHED PICTURES OF THE SOLUTION, if you follow the steps, it would serve as a guide]
