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kozerog [31]
3 years ago
9

Timothy periodically purchases bonds issued by Prince Waste Collection. Last year, he bought two bonds in February, two bonds in

June, and one bond in August, then sold them all in October. Prince Waste Collection bonds were selling at 94.593 in February, 92.661 in June, 105.480 in August, and 102.882 in October. If each bond that Timothy bought had a par value of $1,000, how much profit did he make from buying and selling these bonds? a. $15.91 b. $34.42 c. $159.12 d. $344.22
Mathematics
2 answers:
sasho [114]3 years ago
7 0

Answer:

d. $344.22

Step-by-step explanation:

Timothy invested:

in February: 2 x $1,000 x 94.593% = $1,891.86

in June: 2 x $1,000 x 92.661% = $1,853.22

in August: $1,000 x 105.48% = $1,054.80

total investment = $4,799.88

he sold the 5 bonds in October at 102.882 each, so he received 5 x $1,000 x 102.882% = $5,144.10

his total profit = $5,144.10 - $4,799.88 = $344.22

anastassius [24]3 years ago
3 0

Answer:

D

Step-by-step explanation:

Took test

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Suppose you'd like to save enough money to pay cash for your next car. The goal is to save an extra $28,000 over the next 6 year
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Given:

• Amount to save, A = $28,000

,

• Time, t = 6 years

,

• Interest rate, r = 5.3% ==> 0.053

,

• Number of times compounded = quarterly = 4 times

Let's find the amount that must be deposited into the account quarterly.

Apply the formula:

FV=P(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})

Where:

FV is the future value = $28,000

r = 0.053

n = 4

t = 6 years

Thus, we have:

28000=P(\frac{(1+\frac{0.053}{4})^{4\times6}-1)}{\frac{0.053}{4}}

Let's solve for P.

We have:

\begin{gathered} 28000=P(\frac{(1+0.01325)^{24}-1}{0.01325}) \\  \\ 28000=P(\frac{(1.01325)^{24}-1)^{}}{0.01325}) \\  \\ 28000=P(\frac{1.371509114-1}{0.01325}) \\  \\ 28000=P(\frac{0.371509114}{0.01325}) \end{gathered}

Solving further:

28000=P(28.0384237)

Divide both sides by 28.0384237:

\begin{gathered} \frac{28000}{28.0384237}=\frac{P(28.0384237)}{28.0384237} \\  \\ 998.6=P \\  \\ P=998.6 \end{gathered}

Therefore, the amount that must be deposited quarterly into the account is $998.60

ANSWER:

$998.60

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Answer:


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