We'll use the notation
for the principal value and
for all the values:

Part I


Part II. In our range we can write


Part III.

Part IV.


Correct answer should be= 1.5 hours.
Answer:
A and B
Step-by-step explanation:
When rotating a point (or any shape around a certain point), none of the diameters of the shape will change. So for example, with this circle, when you rotate it around a point, the radius and circumference will not change because it has just rotated. It wont be on the x-axis though because point P is not on the x-axis an it is being rotated 180 degrees about point P. Just know that when you are rotating, nothing about the shape changes, all angles or measurements will be the same, it is just moving to a different place.
Hope this helped ^-^
The amount she should invest today in the annuity is $455,450.40.
<h3>How much should be invested today?</h3>
The first step is to determine the future value of the monthly annuity.
Future value = monthly payment x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate = 3.6/12 = 0.3%
- n = number of periods : 15 x 12 = 180
Future value : 3250 x [(1.003^180) - 1] / 0.003 = 774,171.92
The second step is to determine the present value of this future annuity:
774, 171.92 / (1.036^15) = $455,450.40
To learn more about annuities, please check: brainly.com/question/24108530
#SPJ1
<h3>
<u>Explanation</u></h3>

The vertex of Parabola is the maximum/minimum point depending on the value of a.
<u>h-value</u>

<u>k-value</u>

The minimum value is the value of k. Therefore the minimum value is - 49/4 at x = -5/2.
This is Calculus method. We simply differentiate the function then substitute y' = 0.

Substitute f'(x) = 0

Substitute x = -5/2 in the original equation.

<h3>
<u>Answer</u><u /></h3>
<u>
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