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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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Glenda earned $34.72 for 2.8 hours of work. What was her<br> hourly wage?
Bond [772]

Answer: $12.4

Step-by-step explanation:

34.72/2.8 hours = 12.4 dollars/hr

4 0
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Find the area of the semicircle.
MrMuchimi

Answer:

8 pie

Step-by-step explanation:

area of a circle is pie(radius squared)

radius is 4

4 squared is 16

divide by two because its a semi circle

5 0
4 years ago
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In a survey of 300 T.V. viewers, 40% said they watch network news programs. Find the margin of error for this survey if we want
bixtya [17]

Answer:

<h2>0.05543</h2>

Step-by-step explanation:

The formula for calculating the margin of error is expressed as;

M.E = z * \sqrt{\frac{p*(1-p)}{n} } where;

z is the z-score at 95% confidence = 1.96 (This is gotten from z-table)

p is the percentage probability of those that watched network news

p = 40% = 0.4

n is the sample size = 300

Substituting this values into the formula will give;

M.E = 1.96*\sqrt{\frac{0.4(1-0.4)}{300} }\\ \\M.E = 1.96*\sqrt{\frac{0.4(0.6)}{300} }\\\\\\M.E = 1.96*\sqrt{\frac{0.24}{300} }\\\\\\M.E = 1.96*\sqrt{0.0008}\\\\\\M.E = 1.96*0.02828\\\\M.E \approx 0.05543

Hence, the margin of error for this survey if we want 95% confidence in our estimate of the percent of T.V. viewers who watch network news programs is approximately 0.05543

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3 years ago
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James and two cousins received the same amount of money to go to the arcade. Each person spent $15. Afterwords, they had $30 alt
Angelina_Jolie [31]

Answer:

$25

Step-by-step explanation:

-James and two cousins (that's 3 people)

3x=30+(15x3)

x being the amount of money they had each

<u>3x</u>=<u>75</u>

3    3       (we divide by three to find the amount of money each person had)

x=25  (each person had 25 dollars)

CHECK:

3<em>x25</em>=30+(15x3)

75=75

<u><em>true</em></u>

FINAL ANSWER:

James and his two cousins each received 25 dollars.

<em />

7 0
3 years ago
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