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kenny6666 [7]
3 years ago
8

Please soon as you see this help I need to bring this in by tomarrow

Mathematics
2 answers:
balu736 [363]3 years ago
8 0
Question 1 the fourth figure uses two extra toothpicks and the second question the figure uses three extra tooth picks. There are more toothpicks needed for the second figure of the second question than the second question
Rzqust [24]3 years ago
3 0
1. There is a pattern. In figure 2, there were two toothpicks added.

2.Same thing with the pattern. you add three toothpicks in each figure.
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Find the face value of the 20-year zero-coupon bond at 4.4%, compounded semiannually, with a price of $8,375.
umka21 [38]

<u>Given</u>:

Time,

t = 20 years

Rate,

r = 4.4%

Price

= $8,375

Now,

The yield will be:

= \frac{4.4}{2}

= 1.1 (%)

Time will be:

= 20\times 2

= 40 \ periods

As we know the formula,

⇒ Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}

By substituting the values, we get

                   8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}

                   8375=\frac{Face \ value}{(1.022)^{40}}

                   8375=\frac{Face \ value}{2.3880083}

The face value will be:

        Face \ value = 2.3880083\times 8375

                           =20,000 ($)

Learn more about face value here:

brainly.com/question/14862802

5 0
3 years ago
Jeremiah lives in New York City and takes a taxi almost everywhere he goes. In order to calculate the price of his taxi ride,
ohaa [14]

Answer: 2.50 is the fee he must pay before the taxi takes him anywhere

Step-by-step explanation: since it is an add on, and it is not multiplied by the variable, we know this is a one time expense, meaning it is the base charge.

The answer is A

4 0
3 years ago
What is the equation of the line that passes through (4,-1) and (-2,3)
vladimir1956 [14]

Answer: y-6 = 0.5 (x-8)

Step-by-step explanation:

y − y1 = m(x − x1)

The equation is useful when we know:

one point on the line: (x1,y1)

and the slope of the line: m,

and want to find other points on the line.

Have a play with it first (move the point, try different slopes):

8 0
3 years ago
What is the value of x in the equation 2(x – 3) + 9 = 3(x + 1) + x?<br>x = <br>​
sukhopar [10]

Start with

2(x-3)+9=3(x+1)+x

Expand both parentheses by multiplying both terms by the number outside:

2x-6+9 = 3x+3+x

Sum like terms:

2x+3 = 4x+3

Simplify the "+3" on both sides:

2x = 4x

Subtract 2x from both sides:

2x=0

Divide both sides by 2:

x=0

3 0
3 years ago
How to rewrite the function 2x^2-7x+5 by completing the square
larisa [96]
First you find two numbers that when you multiply they'll equal 5 then when you add or subtract, they'll equal -7


(x-1)(2x-5)
4 0
3 years ago
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