MATHEMATICS HIGH SCHOOL

The dollar price of a 1,000.00 face value bond is 991.25. this bond is listed at...

Answers

Answer 1

Answer:

Answer:

The answer is : The bond is listed at 99.125%.

Step-by-step explanation:

Given is - The dollar price of a 1,000.00 face value bond is 991.25.

So, the purchase price is $991.25 and the bonds are worth of $1,000.

Hence, the bond is listed at:

$(991.25)/(1000)*100$ = 99.125%

The bond is listed at 99.125%.

Answer 2

Answer: If the price is $991.25 and the value of the bond is $1,000, the bond is listed at:
$(991.25)/(1000)$ = .99125 or 99.125 %

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The population of a town grows exponentially. After 1 year, the population is 34,560. After 2 years, the population is 37,325. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.)

Answers

y = 2760x + 34560

(y=mx+b)

a section in a stained glass window is shaped like a trapezoid. the top base is 4 centimeters and the bottom base is 2.5 centimeters long. if the area of the section of glass is 3.9 square centimeters. how tall is the section

Answers

Hello, so the equation for the area of a trapezoid is A = (a+b)*(h/2)

In which, a is one of the bases, b is the other base, and h is the height. A is the Area. If you wanna solve for height, rearrange the equation to what h equals.

First divide (a+b) from both sides
A/(a+b) = h/2

Now multiply 2 on both sides

2(A/(a+b)) = h

Now you have it rearranged equal to just h. Plug in the values now.

2(3.9/(4+2.5)) = h

2(3.9/(6.5)) = h

2(.6) = h

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The section is 1.2 centimeters tall.your welcome

10 is 50 percent of what number?

Answers

The expression is 10 is 50 percent of 20

How to determine the expression as a percentage

From the question, we have the following parameters that can be used in our computation:

10 is 50 percent of what number

Represent the percentage with x

So, we have

10 is 50 percent of x

Mathematically, we have

50% * x = 10

So, we have

x = 10/50%

Express percentage as decimal

x = 10/0.50

Evaluate the expression

x = 20

Hence, the number in the percentage is 20

Answers

you have a geometric series

since you are summing the powers of 1/5, this converges
(1/5 < 1)

it's equal to 1/(1-1/5)
=1/(4/5) = 5/4

for geometric series, the sum is always
x = 1/(1-r)
where r is the ratio of successive terms.

if you set the sum equal to x:
x = 1+r+r^2+r^3...
and multiply each term by r
rx= r+r^2+r^3+....
then subtract

x-rx = 1+r-r+r^2-r^2+r^3-r^3+....

x-rx = 1
x(1-r)=1
x=1/(1-r)

Which answer correctly estimates the quotient of 102.02 ÷ 4.011? a. about 25
b. about 250
c. about 2,500
d. about 25,000

Answers

102.02 / 4.011 =25.4350536

rounded 25.43

or 25

If 2x = 5, 3y = 4, and 4z = 3, what is the value of 24xyz ?

Answers

Replacing in the equation;
24xyz
=24 *(5/2)*(4/3)*(3/4)
=24* $(60)/(24)$
=60

it is 60
because 2x×3y×4z=5×4×3 24xyz=60

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