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Tasya [4]
2 years ago
15

Suppose that you buy a bond with face value $1,000 that was originally issued 18 months ago. The maturity date is 4 years from t

he time it was issued, and the interest rate is 4% simple interest per year. If you pay $820 for the bond and keep it until the maturity date, what is your profit? What percent of your investment is the profit made? (Round to one decimal place; Give your answer as a percentage; and Do not include the percent symbol with your answer)
Mathematics
1 answer:
ziro4ka [17]2 years ago
4 0

Answer:

Step-by-step explanation:

Interest earned during the rest of 2 years and 6 months

40 + 40 + 40 = 120

he will be getting 1000 at the time of maturity ie after 2.5 years .

Total receipt = 1000 + 120 = 1120

investment made = 820

total receipt earned = 1120

profit made = 300

time = 2.5 years

profit = investment x rate of intt x time / 100

300 = 820 x r x 2.5 / 100  where r is rate of interest

r = 30000 / 820 x 2.5

= 14.63 % .

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A pair of shoes is on sale for 20% off the regular price of $72.50. How much will the customer pay with the 20% markdown?
topjm [15]

Answer:

72.50/100 X 80 = 58

total cost with mark down $58

6 0
2 years ago
What is b in terms of a and c?
aev [14]

Answer:

b=\sqrt{c^2-a^2}

Step-by-step explanation:

The given relation is

c=\sqrt{a^2+b^2}

To make b the subject, we square both sides of the equation to get;

c^2=(\sqrt{a^2+b^2})^2

c^2=a^2+b^2

Isolate b on one side of the equation;

c^2-a^2=b^2

Or

b^2=c^2-a^2

We take the positive square root of both sides to get;

b=\sqrt{c^2-a^2}

6 0
3 years ago
Order the following numbers from greatest to least: 2, -1 , 2.58, -1.65. -1, -1.65, 2, 2.58 2.58, 2, -1.65, -1 2.58, 2, -1 , -1.
saw5 [17]

2.58, 2.58, 2.58, 2.58, 2.58, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1.65, -1.65, -1.65, -1.65, -1.65.

6 0
2 years ago
Philip Morris wishes to determine if there is a difference between the proportion of women and proportion of men who smoke cigar
uranmaximum [27]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the women and men who smoke respectively. The population proportion of women and men who smoke would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of women and men who smoke.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 > p2

p1 - p2 > 0

it is a right tailed test

Sample proportion = x/n

Where

x represents number of success(number of complaints)

n represents number of samples

For women

x1 = 14

n1 = 110

p1 = 14/110 = 0.13

For men,

x2 = 7

n2 = 95

p2 = 7/95 = 0.07

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (14 + 7)/(110 + 95) = 0.1

1 - pc = 1 - 0.1 = 0.9

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.13 - 0.07)/√(0.1)(0.9)(1/110 + 1/95)

z = 1.47

From the options given, the test statistic is

e. none of these is correct.

Since it is a right tailed test, we will look at the area to the right of z = 1.47. The p value would be

p value = 1 - 0.9292 = 0.078

Since alpha, 0.005 < than the p value, 0.078, then we would fail to reject the null hypothesis. Therefore, the data does not indicate that the proportion of women who smoke cigarettes is higher than the proportion of men who do at α=.005

8 0
2 years ago
State if the two triangles are congruent. If they are, state how you know.
Gwar [14]

Answer:

The triangles can be congruent.

Step-by-step explanation:

They are congruent if proven by SSS: 2 sides are clearly stated that they are congruent due to the marks they have.

The last side can be congruent if the diagonals are congruent in length by proving.

They can also be congeuent due to SAS because there is gonna be alternate interior angles due to the transversal.

4 0
2 years ago
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