The amount (present value) of a semi-annual coupon paid for a 3% bond with a face value of 80,000 which matures after 15 years is $80,000.
What is the price of a bond?The price of a bond is its present value.
The present value can be determined as the discounted cash inflows.
In this situation, we can determine the present value of the bond using an online finance calculator as follows:
N (# of periods) = 30 (15 years x 2)
I/Y (Interest per year) = 3%
PMT (Periodic Payment) = $1,200
FV (Future Value) = $80,000
Results:
Present Value (PV) = $80,000.00
Sum of all periodic payments = $36,000.00
Total Interest = $36,000.00
Thus, the amount of the bond is $80,000.
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Four student government officers want to go to the state convention. It will cost them $100 for registration, $375 for transportation and food, and $41 per person for the hotel. There is $425 budgeted for the convention in the student government savings account. They can earn the rest of the money they need by having a car wash. If they charge $5 per car, how many cars must they wash in order to have enough money to pay for the trip?
cars___?
Answer:
$100 + $375 + $41(4) = $516
$516 - $425 = $91
$91 / $5 = 18.2 cars
Therefore, the four student government officers must wash 18 cars in order to have enough money to pay for the trip.
What is the volume of the figure below?
A.30ft3
B.60ft3
C.90ft3
D.120ft3
Answer:
120 I think is the answer not sure tho sorry if u get it wrong
Step-by-step explanation:
Here are two number machines that always give the same number for any input. Use the machines expressions to explain why both machines will produce the same outputs for any input.
according to a recent article about individuals who have credit cards, the mean number of cards per person with credit cards is 4. To test this results a random survey of 60 individuals who have credit cards were conducted. The survey only includes the number of credit cards per participant
Answer:
The variable of interest is NUMBER OF CREDIT CARDS. it is a QUANTITATIVE variable.
u=4
u<4
use a t1-84 go to stat, edit, input the table set into L1, back to stat, tests, t-test, data, u=4, list:L1, u<, calculate, enter that will give you a t0=-.62
p-value is in the range P-value>0.10
The P-value is GREATER than level of significance. DO NOT REJECT the null hypothesis. there IS NOT sufficient evidence to claim that the mean number of credit cards is LESS THAN 4.
Step-by-step explanation:
a. The first question in the study asked for the variable of interest. The variable is number of credit per participants. This variable is quantitative.
What is the hypothesis?The null hypothesis has H0: u = 4
Alternative hypothesis = H1: u < 4
To solve the for the p value and the test statistic, more data would be needed for this question.
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The ratio 81:108 in the simplest form
The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.
Approximate the solutions to this system.
y=3x^2+x-6
y=x-4
Round your answer to the nearest hundredth.
Answer:
[tex]x = \± 0.82[/tex]
[tex]y =-3.18 \ or\ -4.82[/tex]
Step-by-step explanation:
Given
[tex]y = 3x^2 + x - 6[/tex]
[tex]y = x -4[/tex]
Required
The solution
First, we equate both expressions.
[tex]y = y[/tex]
[tex]3x^2 + x - 6 = x - 4[/tex]
Subtract x from both sides
[tex]3x^2 - 6 = - 4[/tex]
Add 6 to both sides
[tex]3x^2 = 2[/tex]
Divide both sides by 3
[tex]x^2 = 0.667[/tex]
Solve for x
[tex]x = \± \sqrt{0.667[/tex]
[tex]x = \± 0.82[/tex]
To solve for y, we have:
[tex]y = x -4[/tex]
This gives
[tex]y = \± 0.82 - 4[/tex]
Split
[tex]y = 0.82 - 4 \ or\ -0.82 - 4[/tex]
[tex]y =-3.18 \ or\ -4.82[/tex]
PLEASE HELP
i will mark brainliest!
10 points
What is the value of m in the figure below? If necessary , round your answer to the nearest tenth of a unit
Using the concept of similar triangles, the value of m to the nearest tenth of a unit in the given figure is 6.71.
What are similar triangles?Triangles with the same geometry but different sizes are said to be similar triangles. Examples of related objects are all equilateral triangles and squares with any side length. In other words, two triangles that are similar have corresponding sides that are proportionate equal and corresponding angles that are similar.
From the concept of the similar triangle,
3/BD = BD/12
BD² = 12 × 3
BD² = 36
As triangle BDC is a right-angled triangle, use Pythagoras' theorem
m² = BD² + 3²
m² = 36 + 9
m² = 45
m = √45
m = 6.708
m ≈ 6.71
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If you bike for 2 hours at a constant speed of 12 mph, you’ll travel __ miles
NO LINKS, PLZ JUST TELL ME
Answer:
24 miles....you travel 24 miles per hour
Step-by-step explanation:
you multiply your mph by the amount of hours to get the answer
help me please this question is about shapes and tree diagrams
Answer:
quadrilateral is most specific
jaden makes 63% of the free throws he shoots. About how many shots do you predict he will have to take to make 15 free throws?
Answer:
I don't understand
Step-by-step explanation:
but hope u will understand
Answer:
3
Step-by-step explanation:
Leo wants to buy some shoes. He found the shoes at two different stores for a price of $35.
The stores are each having a sale.
- Store X is offering 15% off the price of the shoes.
- Store Y is offering $5 off the price of the shoes.
Calculate the difference between the total of the price for the shoes?
Answer:
$3.50
Step-by-step explanation:
Store X:
0.15*35 = 5.25
35-5.25 = 29.75 dollars
Store Y:
0.05*35 = 1.75
35-1.75 = 33.25 dollars
Total difference:
33.25-29.75 = 3.50 dollars
What is 5 times the quotient of 3 and 5?
Answer: 3
Step-by-step explanation:
5 X 3/5 = 3
Miss Harris writes three checks for exactly $3000 what was the change in her bank account??
12. A bowl with 60 red candies and 24 green
candies was used to decorate cookies. The
same ratio of red to green candies in the
bowl was used to decorate each cookie. If
a cookie had 15 red candies, how many
green candies did it have?
Answer:
45 green candies did the cookie have.
What is the slope of the line that passes through the points (-2,12) and (0,3)
Answer:
-9/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-12)/(0-(-2))
m=-9/(0+2)
m=-9/2
Apskaičiuokite pavaizduoto kūgio tūrį. Laikykite, kad π≈3
Answer:
Say wahhhhh!
Step-by-step explanation:
Through (-2,-1) and perpendicular to the graph of F(x) - 1/5x + 1 ( function notation)
The equation of line that passes through (-2,-1) and is perpendicular to f(x) = (-1/5)x + 1 is f(x) = 5x + 9.
What is the equation of line that passes through the given point and is perpendicular to f(x) = (-1/5)x + 1?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the graph
f(x) = (-1/5)x + 1
Using the slope intercept, slope m is -1/5
The equation of a perpendicular line to f(x) = (-1/5)x + 1 must have a slope that is the negative reciprocal of the graph.
Slope of perpendicular line = -1 / (-1/5)
Slope of perpendicular line = 5
Plug the slope m = 5 and point (-2,-1) into point-slope formula and simplify.
( y - y₁ ) = m( x - x₁ )
( y - (-1) ) = 5( x - (-2) )
( y + 1 ) = 5( x + 2 )
y + 1 = 5x + 10
y = 5x + 10 - 1
y = 5x + 9
f(x) = 5x + 9
Therefore, the equation of the perpendicular line is f(x) = 5x + 9.
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Find the surface area of a right square pyramid with base edge length
2 feet and height 5 feet.
Answer:
24.4 sq. ft.
Step-by-step explanation:
Area of a right square pyramid is:
A = a^2 + 2(a)*square root of ((a^2/4) + b^2)
A = 4 + 4 (square root of ((4/4) + 25) = 4 + 4* square root of 26
A = 4 + 4*5.099
A = 4 + 20.396
A = 24.396 sq ft.
The area of the square is 25. The area of the circle is 39. What is the area of the shaded regions?
Answer:
c.
Step-by-step explanation:
First at all you need the half circle area formula:
(Pi*r2)/2 = 18Pi
After resolved this you have: r = 6, then diameter= 12
Then c) Its perimer is 40 because AB + CD + BC + AD = 40
Ms. Sharon bought 84 litre of cooking oil. She used 1/3 of it on Monday and another 20 litre
of it on Tuesday.
a) How much oil she used on Monday?
b) How much cooking oil did she use altogether?
c) How much cooking oil was left with her?
d) Write the fraction of cooking oil left with her
Carl coaches a youth basketball team. Pat is one of the players on the
team. The number of points Pat has made each game this season and
last season are shown in the table below.
This season 6, 12, 5, 4, 6, 8, 7
Last season 0, 3, 4, 6, 4, 9, 2, 1, 3, 4, 5
Carl decides which players to put on the court based on the third quartile
of the number of points they have made. How much higher is Pat's third
quartile this season than last season?
the q3 is just above the median so
Step-by-step explanation:
its higher by 5
In the ΔTUV below, find the m∠U to the nearest degree
Answer:
∠U=70°
Step-by-step explanation:
[tex]Cos~U=\frac{32^2+40^2+42^2}{2(32)(40)}[/tex]
[tex]Cos~U=43/128[/tex]
∠ U= [tex]Cos^{-1}(43/28)[/tex]
∠ U= [tex]70[/tex]
------------------------
hope it helps...
have a great day!!!
Answer:
∠U=70°
Step-by-step explanation:
hope it helps
In ABC segment DC bisects /_C and divides AB into segment AD and BD. CD = 6 units and AC = 8.5, then which statement would
justify that ACD - BCD?
Answer:
ABC=BCD wtdf
Step-by-step explanation:
How many 1/2 - pound packages of cheese can the deli make with 12 pounds of cheese?
Answer:
24
Step-by-step explanation:
The explanation is 12/.5 = 24
P(-3,6) y el intercepto =-10, encontrar la pendiente
The slope of the line, given the point on the line and the y - intercept, is - 5. 33
How o find the slope ?The slope of a line tells us the relationship between the dependent variable and the independent variable. In other words, it tells us what a change in the independent variable leads to in the dependent variable.
The slope can be found in the slope - intercept formula form of :
y = mx + b
m is the slope
b is the y - intercept
We have the y - intercept and a y and x value in ( -3, 6 ) so the slope is:
6 = - 3 ( m ) + ( - 10 )
6 = - 3m - 10
- 3m = 6 + 10
- 3 m = 16
m = 16 / - 3
m = - 5. 33
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a room to be carpeted is 20 ft length and 20 ft width and cost $2.25 a square foot. how much do it cost to carpet the room?
What is the volume of the figure below?
Answer:
90
Step-by-step explanation:
4.5*4*5= 90
Please help me!!! I will try to give brainliest!!!
Find the distance between the points E(1,7) and F(-3,2).
Answer:
d = √(x²~x¹)² + (y²-y1)²
Step-by-step explanation:
√(1--3)² + (7-2)²
the square root covers everything
then put this answer on the calculator
Answer:
[tex]\sqrt{41}[/tex]
Step-by-step explanation:
First of all this is too easy, if you are having problems with this then I highly recommend you to ask your teacher for help
Formula -> [tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Identify which is x and which is y
-> E (1,7) F(-3,2)
|[tex]x_1[/tex]|[tex]y_1[/tex]| |[tex]x_2[/tex]|[tex]y_2[/tex]|
-> [tex]D=\sqrt{(-3-1)^2+(2-7)^2}[/tex]
-> [tex]D=\sqrt{(-4)^2+(-5)^2}[/tex]
-> [tex]D=\sqrt{16+25}[/tex]
-> [tex]D=\sqrt{41}[/tex]