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2 years ago

11

Your fi nancial advisor recommends buying a 10-year bond with a face value of $1,000 and an annual coupon of $80. The current in

terest rate is 7 percent. What might you expect to pay for the bond (aside from b

1 answer:

rusak2 [61]2 years ago

8 0

Answer:

Bond Price= $1,070.24

Step-by-step explanation:

Giving the following information:

Cupon= $80

Number of periods= 10 years

Face value= $1,000

Interest rate= 7%

<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= 80*{[1 - (1.07^-10)] / 0.07} + [1,000 / (1.07^10)]

Bond Price= 561.89 + 508.35

Bond Price= $1,070.24

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How can you use the quadratic formula to complete a square?

Marina86 [1]

It has become somewhat fashionable to have students derive the Quadratic Formula themselves; this is done by completing the square for the generic quadratic equation ax2 + bx + c = 0. While I can understand the impulse (showing students how the Formula was invented, and thereby providing a concrete example of the usefulness of abstract symbolic manipulation), the computations involved are often a bit beyond the average student at this point.

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3 years ago

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Write the frost ten terms of a sequence whose first term is -10 and whose common difference is -2

Temka [501]

Answer:

$-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...$

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, called the common difference

The formula for an Arithmetic Sequence is equal to

$a_n=a_1+(n-1)d$

where

d is the common difference

n is the number of terms

a_1 is the first term of the sequence

In this problem we have

$a_1=-10\\d=-2$

substitute

$a_n=-10+(n-1)(-2)$

$a_n=-10-2n+2$

$a_n=-2n-8$

so

<u><em>Find the first ten terms</em></u>

$a_1=-10$

For n=2 ----> $a_2=-2(2)-8=-12$

For n=3 ----> $a_3=-2(3)-8=-14$

For n=4 ----> $a_4=-2(4)-8=-16$

For n=5 ----> $a_5=-2(5)-8=-18$

For n=6 ----> $a_6=-2(6)-8=-20$

For n=7 ----> $a_7=-2(7)-8=-22$

For n=8 ----> $a_8=-2(8)-8=-24$

For n=9 ----> $a_9=-2(9)-8=-26$

For n=10 ----> $a_1_0=-2(10)-8=-28$

The sequence is

$-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...$

5 0

3 years ago

Giving brainliest to the answer who gives step by step examples clearly!

Anarel [89]

<em>Hi there!</em>

<em>This should be easy,lol!</em>

<em>Answer:</em>

<em /> $\sqrt[3]{-128} = \boxed{-128 \sqrt{3} }$ <em> (Decimal: -221.702503)</em>

<em /> $\sqrt[3]{162} = \boxed{162 \sqrt{3} }$ <em> (Decimal: 280.592231)</em>

<em /> $\sqrt[3]{-1000x^4} = \boxed{-1732.050808x^4}$ <em />

<em>Sorry bout the explanation thingy. Their really long -.-!</em>

<em>But the last one is short so i'll put it for you!</em>

<em>Step-by-step explanation:</em>

<em>∴!For the last one!∴</em>

<em /> $\sqrt[3]{-1000x^4}$ <em />

<em>Simplifies to:</em>

<em /> $= - 1732.050808 * x^4$ <em />

<em /> $= - 1732.050808 * ( x * x * x * x)$ <em> </em>

<em /> $= - 1732.050808x^4$ <em />

<em>Have a great day/night!</em>

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3 years ago

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A farmer has a rectangular garden plot surrounded by 200 ft of fence. find the length and width of the garden if its area is 210

Dennis_Churaev [7]

If the perimeter is 200 ft and the area is 2100 square feet...

P = 2l + 2w
A = l * w

The dimensions would be 30 ft by 70 ft.

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3 years ago

(3x²+4x-1) + (-2x²-3x+2)

Vedmedyk [2.9K]

Answer:

(3x²+4x-1) + (-2x²-3x+2)

3x²+4x-1 -2x²-3x+2

3x²-2x²+4x-3x-1+2

x²+x+1

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3 years ago

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