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rewona [7]
3 years ago
15

Choose the terms below that can be defined:

Mathematics
1 answer:
lora16 [44]3 years ago
5 0
Answer:

Where are the terms…

Explanation
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Suppose that a bond has a face value of ₱ 100,000 and its maturity date is 10 years from now. The coupon rate is 5% payable semi
horsena [70]

Answer:

Bond Price​= $108,175.71

Step-by-step explanation:

Giving the following information:

Face value= $100,000

Coupon rate= 0.05/2= 0.025

YTM= 0.04/2= 0.02

Time period= 10*2= 20 semesters

<u>To calculate the price of the bond, we need to use the following formula:</u>

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 2,500*{[1 - (1.02^-20)] / 0.02} + [100,000/(1.02^20)]

Bond Price​=  40,878.58 + 67,297.13

Bond Price​= $108,175.71

8 0
3 years ago
Find the slope of each line and then determine if the lines are parallel, perpendicular or neither. If a value is not an integer
Aleonysh [2.5K]

As given by the question

There are given that the point of two-line

\begin{gathered} (1,\text{ 7) and (5, 5)} \\ (-1,\text{ -3) and (1, 1)} \end{gathered}

Now,

From the condition of a parallel and perpendicular line

If the slopes are equal then the lines are parallel

If the slopes are negative reciprocal then the lines are perpendicular

If the slopes are neither of the above are true then lines are neither

Then,

First, find the slope of both of line

So,

For first-line, from the formula of slope

\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{5_{}-7_{}}{5_{}-1_{}} \\ m_1=-\frac{2}{4} \\ m_1=-\frac{1}{2} \end{gathered}

Now,

For second-line,

\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{1_{}-(-3)_{}}{1-(-1)_{}} \\ m_1=\frac{4}{2} \\ m_1=2 \end{gathered}

The given result of the slope is negative reciprocal because

\begin{gathered} -\frac{1}{2}=-(-\frac{2}{1}) \\ -\frac{1}{2}=2 \end{gathered}

Hence, the slope of line1 is -1/2, and slope of line2 is 2 and the lines are perpendicular.

5 0
1 year ago
What is the answer to 19=-3a-5
stepan [7]

Answer:

\fbox{ \huge{ \sf{ a =  - 8}}}

Step-by-step explanation:

\bigstar{ \sf{ \: 19 =  - 3a - 5}}

\tt{Step \: 1 \: } : Swap the sides of the equation

\longmapsto{ \sf{ - 3a - 5 = 19}}

\tt{Step \: 2 \: } : Move 5 to right hand side and change it's sign

\longmapsto{ \sf{ - 3a = 19 + 5}}

\tt{Step \: 3 \: } : Add the numbers : 19 and 5

\longmapsto{ \sf{ - 3a = 24}}

\tt{Step \: 4 \: } : Divide both sides by -3

\longmapsto{ \sf{ \frac{ - 3a}{ - 3}  =  \frac{24}{ - 3}}}

\tt{Step \: 4} : Calculate

\longmapsto{ \sf{a = -  8}}

\sf ∴ \: the \: value \: of \: a \: is \:  - 8.

\sf{Hope \: I \: helped !}

\sf{Best \: regards !!}

~\sf{TheAnimeGirl}

3 0
3 years ago
#11
Lelechka [254]

Try this option:

the final price of the first machine after discount is:

(1-0.3)*495=346.5$;

the final price of the second machine after all the discount is:

(1-(0.2+0.2*0.1))*495=386.1$.

Short explanation: the additional 10% off is 2% of the initial price for the second machine; the final discount of the second machine is 22%.

8 0
3 years ago
If I pay $10.50 for 3 lbs. of peanuts, what is the unit rate?
Nadusha1986 [10]

Answer:

the answer is 3.5 tell me if you got it right

6 0
3 years ago
Read 2 more answers
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