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Mademuasel [1]
3 years ago
5

Investing in bonds! PLS HELP

Mathematics
1 answer:
ozzi3 years ago
3 0
1) A zero coupon bond is a bad choice for Ralph because it is a bond bought at a very deep discount but does not earn any interest. He will only get the face value of the bond when it matures.

2) Defaulting means being unable to pay for the debt in time. They will pay for the debt when they have the available funds to do so. Allison will just have to wait until the Greek government has enough money to cover their debts.



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g A window is being built and the bottom is a rectangle and the top is a semi-circle. If there is 12 meters of framing materials
photoshop1234 [79]

Answer:

Semicircle of radius of 1.6803 meters

Rectangle of dimensions 3.3606m x 1.6803m

Step-by-step explanation:

Let the radius of the semicircle on the top=r  

Let the height of the rectangle =h  

Since the semicircle is on top of the window, the width of the rectangular portion =Diameter of the Semicircle =2r

The Perimeter of the Window

=Length of the three sides on the rectangular portion + circumference of the semicircle

=h+h+2r+\pi r=2h+2r+\pi r=12

The area of the window is what we want to maximize.

Area of the Window=Area of Rectangle+Area of Semicircle

=2hr+\frac{\pi r^2}{2}

We are trying to Maximize A subject to 2h+2r+\pi r=12

2h+2r+\pi r=12\\h=6-r-\frac{\pi r}{2}

The first and second derivatives are,

Area, A(r)=2r(6-r-\frac{\pi r}{2})+\frac{\pi r^2}{2}}=12r-2r^2-\frac{\pi r^2}{2}

Taking the first and second derivatives

A'\left( r \right) = 12 - r\left( {4 + \pi } \right)\\A''\left( r \right) =  - 4 - \pi

From the two derivatives above, we see that the only critical point  of r

A'\left( r \right) = 12 - r\left( {4 + \pi } \right)=0

r = \frac{{12}}{{4 + \pi }} = 1.6803

Since the second derivative is a negative constant, the maximum area must occur at this point.

h=6-1.6803-\frac{\pi X1.6803}{2}=1.6803

So, for the maximum area the semicircle on top must have a radius of 1.6803 meters and the rectangle must have the dimensions 3.3606m x 1.6803m ( Recall, The other dimension of the window = 2r)

5 0
3 years ago
Please help me and explain
SCORPION-xisa [38]
Can someone help me on one of my questions. Here's the link: brainly.com/question/7748163
3 0
3 years ago
a rectangle has an area of 30 square meters and a perimeter of 34 meters. what are the dimensions of the triangle?
gayaneshka [121]
The dimensions for the rectangle are 15 by 2.

15 times 2 is 30, which is the area.

15+15+2+2= 34 which is the perimeter
5 0
3 years ago
Maya is the manager for the track team. She created a table to compare finish times from the second practice to the first practi
Neko [114]

Answer:

D. Maya is incorrect because she listed the runners from least improved to most improved. Runners that decreased times are improving, and those that add time are not improving.

Step-by-step explanation:

I got it right on edge

6 0
2 years ago
How many solutions does the following equation have?
Alik [6]

Answer:

no solutions

Step-by-step explanation:

-5 (2+1) = -22 +10

-15 = -12

3 0
3 years ago
Read 2 more answers
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