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Viktor [21]
3 years ago
9

determine the proceeds of a 10year promissory note discounted after after 4 years at 6% compounded quarterly with a maturity val

ue of $6000​
Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0

Answer:

The Proceeds of maturity after 10 years is $1613.4

Step-by-step explanation:

Given as :

The maturity value = $ 6000

The rate applied at 6 % compounded quarterly

The Time period = 4 years

Now,

Amount = Principal × (1+\dfrac{\textrm Rate}{4\times 100})^{\textrm 4\times Time}

Or, Amount = 6000  × (1+\dfrac{\textrm 6}{4\times 100})^{\textrm 4\times 4}

Or, Amount = 6000 × (1.015)^{16}

Or,  Amount = 6000 × 1.2689

∴  Amount = $ 7613.4

So, The proceeds after 10 years = $ 7613.4 - $ 6000 = $ 1613.4

Hence The Proceeds of maturity after 10 years is $1613.4   Answer

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Given right triangle ABCABC with altitude \overline{BD}
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Answer:

x = 2\sqrt{11}

Step-by-step explanation:

AD = 4

AC = 11

DC = 11 - 4 = 7

First, find BD using the right triangle altitude theorem:

BD = \sqrt{AD*DC}

Plug in the values

BD = \sqrt{4*7}

BD = 2\sqrt{7}

Use pythagorean theorem to find x:

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Plug in the values

x^2 = 4^2 + (2\sqrt{7})^2

x^2 = 4^2 + (2\sqrt{7})^2

x^2 = 16 + (4*7)

x^2 = 16 + 28

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\sqrt{x^2} = \sqrt{44}

x = \sqrt{44}

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