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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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22

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Peter is at a lumber yard. He gets 2 free boxes of nails for every 10 boards he buys. Write an expression for the number of boxe
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The algebraic expression n<span>/10, where </span>n<span> is the number of boards, represents the number of times he gets 2 free boxes of nails. So 2(</span>n<span>/10), or </span>n/5, is the number of boxes, and 100(n/5), or 20n<span>, is the number of nails. Substituting 90 in for </span>n<span>, Peter will get 1,800 nails.</span>
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The ratio of the measures of the angles in a
Gwar [14]

<u>Explanation</u><u>:</u><u>-</u>

We have given measure of angles of the triangle are in ratio 4 : 7 : 9 and here we need to find the measure of largest angle of a ∆.

Let, the three angles of a triangle be 4x, 7x, 9x.

We know that, Sum of all angles of a triangle is 180°.

4x + 7x + 9x = 180°

⇛20x = 180°

⇛x = 180°:20

⇛x = 9°

Now, finding largest angle by putting the value of “x”

  • 4x = 4(9) = 36°
  • 7x = 7(9) = 63°
  • 9x = 9(9) = 81°

Hence ,the measure of largest angle is 81°.

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8 0
3 years ago
Pleasee help me, I don’t get it
Aleks [24]

Answer:

x = 4 sqrt(5)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

8^2 + x^2 = 12^2

64+ x^2 =144

Subtract 64 from each side

x^2 = 144-64

x^2 =80

Take the square root of each side

sqrt(x^2) = sqrt(80)

x = sqrt(16*5)

x = 4 sqrt(5)

8 0
3 years ago
Please help me <br> 10 points
erastova [34]

Let us prove that angle 1 is complementary to angle 3 step by step.

1. We have been given that angle 1 is complementary to angle 2.

2. Since we know that complementary angles add up to 90 degrees, therefore, by the definition of complementary m\angle 1+ m\angle 2=90^{o}.

3. We have been also given that line segment  BD bisects \angle ADC.                

4. By the definition of bisect \angle 2 \cong \angle 3.

5. Angles are congruent if their measures, in degrees, are equal, therefore, by angle congruence postulate  m\angle 2=m\angle 3.        

6. m\angle 1+ m\angle 2=90^{o}

Upon substituting m\angle 2=m\angle 3 in above equation we will get,

m\angle 1+ m\angle 3=90^{o}  

Therefore, by substitution property of equality m\angle 1+ m\angle 3=90^{o} .

Hence, proven that angle 1 is complementary to angle 3.

4 0
4 years ago
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