MATHEMATICS HIGH SCHOOL

A bond quoted at 93 (1/8) is equal to ___ per 1,000.00 of the face amount.

Answers

Answer 1
Answer:

Answer:

$931.25

Step-by-step explanation:

Given a bond is quoted at 93(1)/(8)

let the Face value of the amount = $1000

therefore, the price/cost = (93.125)/(1000)*100

= $931.25

Therefore, the bond quoted at 93(1)/(8) is equal to $931.25 per 1000 of the face value.

Hope you got the point, feel free to ask doubts
Answer 2
Answer: The number a bond is the percentage of the value of the bond that the bond is worth. Because the bond is quoted at 93, the bond is worth $930 per $1,000.

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Y is direcly proportional to x and y=27 when x=6find x when y=45

Answers

Answer:

x= 10

Step-by-step explanation:

27÷6= 4.5

27×4.5= 6

so,

45÷4.5=10

Answer:

7.5

Step-by-step explanation:

45 divided by 6 i don't know but I just wanted to try

Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pianist, the other as the alternate. What is the probability that the pianist will be a boy and the alternate will be a girl? Express your answer as a percent.

Answers

The answer is 0.24

To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur. In this method, the probabilities of each event are multiplied. Here we have two events:

1. The probability that the pianist will be a boy,

2. The probability that the alternate will be a girl.


So, let's calculate these probabilities:

There are in total 5 children:

2 boys + 3 girls = 5 children.

1. The probability that the pianist will be a boy is 2 boys out of 5 children, which is 2/5.

2. The probability that the alternate will be a girl is 3 girls out of 5 children, which is 3/5.


The probability that the pianist will be a boy and the alternate will be a girl is:

2/5 × 3/5 = 6/25

6/25 × 4/4 = 24/100 = 0.24

the answer is 30 percent

Which statement is true? P(age between 25 and 35 years|hemoglobin level between 9 and 11) P(age between 25 and 35 years)
P(hemoglobin level between 9 and 11|age between 25 and 35 years) = P (hemoglobin level between 9 and 11)
P(hemoglobin level between 9 and 11|age between 25 and 35 years) = P(age between 25 and 35 years)
P(age between 25 and 35 years|hemoglobin level between 9 and 11) = P(hemoglobin level between 9 and 11|age between 25 and 35 years)
P(hemoglobin level between 9 and 11) = P(age between 25 and 35 years)..

Answers

P(hemoglobin level between 9 and 11) = P(age between 25 and 35 years)..

Three weeks ago John bought stock at 491/4; today the stock is valued at 497/8. We could say the stock is performing at which of the following?A. Below par
B. Above par
C. On par
D. Par equality

Answers

Rate at which John bought the stocks 3 weeks ago = 491/4
Rate at which John sold the stock = 497/8
Amount of loss incurred by John = (497/8) - (491/4)
                                                    = (497 - 982)/8
                                                    = - (485/8)
From the above deduction it can be easily said that the stock is performing below par. The correct option among all the options that are given in the question is option "A".

The Correct Answer Is B- Above Par

A population of endangered birds decreases by 3% each year.a. If the current population is 30,000 birds, write an equation that represents the number of birds, N, in terms of the number of years, T, from the present.

b. Approximately what will the bird population be after twenty years? Round your answer to the nearest thousand.

Answers

Since the number of bird decreases 3% per year then for year 1 there will be 29 100 birds left. This value is 97% of 30000. From this the number of birds for year 1 is N = 30000(1-0.03)

A. N = 30,000(1-0.03)^(2)

B. To solve this we use the equation we established in letter A. We get the answer by substituting T with 20. N = 16,000. 

Answer: a) The required equation is,

N=30000(0.97)^T

b) The approximately population of the birds after 20 years is 16314.

Step-by-step explanation:

a) Since, the initial population, P = 30,000

The rate of increasing, r = 3% per year,

Hence, the population of birds after T years,

N=P(1-(r)/(100))^T

\implies N = 30000(1-(3)/(100))^T

\implies N = 30000(1-0.03)^T

\implies N=30000(0.97)^T

Which is the required equation.

b) Now, for T = 20 years,

The population of birds,

N(20)=30000(0.97)^(20)=30000* 0.543794342927=16313.8302878\approx 16314

⇒ The approximately population of the birds after 20 years is 54183.

Correctly complete the square for the equation below

x2 - 5x = 0

Answers

x=0 or it can be x=5 please count me as brainliest
 (x-5/2)^2 =25/4 hop it helps
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For the first 3 years of a horse's life, the weight, w (in kilograms), of the horse approximately fits the formula w(t)=30+170t, where t is the age of the horse in years. Which of the following is the most accurate interpretation of the slope of the line represented by this formula? A. The slope is 170. This means that the horse gains an average of 170 kilograms per year for the first 3 years of its life. B. The slope is 30. This means that the horse gains a total of 30 kilograms in the first 3 years of its life. C. The slope is 30. This means the horse gains on average 30 kilograms per use for the first 3years of its life. D. The slope is 170. This means that the horse gains a total of 170 kilograms in the first 3 years of its life.