Answer:
62.5%
Step-by-step explanation:
We can write a proportion. We know that $50 is the original value and $80 is the marked up price. We don't know the marked up percentage. Let's call it x. We write equal ratios of 
comparing percent and 
comparing the 50 to the marked up price. We then set them equal.
We then cross multiply across the equal sign from numerator to the opposite numerator.
80(x)=50(100)
80x=5000
We divide to find x.
x=62.5
This means the bicycles are marked up 62.5% and the original value is 37.5%.
Circumference formula - 2pi(r)
area formula - pi(r)^2
in both of the formulas r is the radius so
to find circumstance: 2(pi)(6) = 25.68 feet
to find area: pi(6)^2 = 113.04 feet
Using pythagorean identities,tan(sin^-1(-5/13))= tan(arcsin(-5/13))
Let A = arcsin(-5/13) = -arcsin(5/13)
Thus, sin A = -5/13 and cos A = sqrt(1 - (5/13)^2) = 12/13.= tan(A)= sin(A) / cos(A)= -5/13 / (12/13)= -5/12
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The question is missing the graph. So, it is attached below.
Answer:
(D) 3.2
Step-by-step explanation:
Given:
A graph of height versus width.
The equation given is:
Height = constant × Width
Rewriting in terms of 'constant'. This gives,
------------- (1)
The width is plotted on the X-axis and the corresponding height is plotted on the Y-axis.
The four points plotted on the line are:
.
Now, any point will satisfy equation (1).
Consider the point (0.5, 1.6). So, height = 1.6 and width = 0.5. Therefore,
Also, we observe that for all the remaining points,
.
Hence, the value of the constant is 3.2.
Option (D) is correct.
The total amount you receive is lower than the bond par value, so today you shouldn't convert.
Following are the calculation to the given question:
- At a <em><u>price of $40 per share</u></em><u>, </u>the bond had a 25:1 conversion ratio
- Total Conversion Value = $40 × 25 = $1,000
- The value of the Conversion is $1,000 which is the Par bond value.
- Present bond price = $35.
If today you're converting,
- Total receiving amount = $35 ×25 = $875
So, the total amount you receive is lower than the bond par value, so today you shouldn't convert.
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