Answer:
C) 9.86%
Step-by-step explanation:
Given that:
Par value of the bond = $1000
Coupon rate = 5.25%
Years of maturity = 9
years to call = 3
price to call = 115% * 1000 = 1150
YTM of the bond = 0.0532
Using Excel formula:
The current price of the bond = P-V(0.0532/2, 9*2, 0.0525*1000/2, 1000)
= $995.04
The yield to call = 2 * RATE( 3*2, 0.0525*1000/2, 995.04, 1150)
The yield to calll = 9.86%
solve the inequality 2(n+3) - 4 < 6. then graph the solution.
Please help ??
Answer:
n < 2
Step-by-step explanation:
Answer: Look at the explanation please.
Step-by-step explanation:
The first thing you would do is distribute the 2 to the n and the 3.
You will then get 2n+6-4<6
Next, you will have to subtract 6-4 and you will get 2
You will the have 2n+2<6
Subtract 2 from 2 to get 0 and from 6 to get 4.
Your left with 2n<4
Then, divide 2 from 2n and 2 from 4
Last, your answer will be n<2.
Graphing
Your graph would look like (from what I see in my book)
You have seven tick marks and in the middle will be 0.
From the left of 0 should have negative 1, 2, and 3
From the right of 0 would be positive 1, 2, and 3
On the top of 2 would be a open circle and an arrow going to the left.
Hope this helps :)
Pencils cost 2 dollars each.
Rulers cost 3 dollars each.
Edith buys p pencils and r rulers.
The total cost is T dollars.
Write down a formula for Tin terms of p and r.
(3 marks)
72: 24 equivalent to?
3:1 is the answer
it is simplified
Geometry Help!
Please only answer if you know the answer. Look at the image below to answer the question.
Be sure to show all of your work and explain your thinking.
I posted 3 of these, so if you understand it, please go and check them out.
If you do not know the answer use the comment section, don't answer my question with a comment. Thanks, Good Luck!
Answer:
x = 88.76°Step-by-step explanation:
Use the law of cosines:
cos C = (a² + b² - c²)/(2ab)Apply to the given triangle and solve for x:
cos x = (52² + 48² - 70²)/(2*52*48)cos x = 108/4992cos x = 0.02163461538x = arccos 0.02163461538x = 88.76°Convert the expression (√5)(∛5) to exponential form. Show your work
Answer:
[tex] {5}^{ \frac{5}{6}}[/tex]
Step-by-step explanation:
[tex]( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}[/tex]
I need help on this problem really I would be grateful
Answer:
Step-by-step explanation:
The answer is A
I NEED HELP ASAP PICTURE IS DOWN BELOW
Answer:
18
Step-by-step explanation:
90/5=18
please help fast :( it’s geometry i’ll give you thanks
Answer:
5.5 cm
(Rounded up)
Describe the mathematical process for finding the area of a rectangle triangle and circle be sure to included explain the formulas for finding the area if each shape
Jessica is selling books during the summer to earn money for college. She
earns a commission on
each sale but has to pay for her own expenses.
After a month of driving from neighborhood to neighborhood and walking
door-to-door, she figures out that her weekly earnings are approximately a
linear function of the number of doors she knocks on.
She writes the equation of the function like this: E(X) = 10x - 30, where x is the
number of doors she knocks on during the week and E(x) is her earnings for
the week in dollars.
Which of the following are reasonable interpretations of the y-intercept of
Jessica's function?
Check all that apply.
A. She can earn $10 per week even if she does not knock on any
doors.
B. She will lose $10 per week if she does not knock on any doors.
C. If she does not knock on any doors at all during the week, she will
lose $30.
D. Her expenses are $30 per week.
Answer. it fast please
Answer:
[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{15}[/tex]
Step-by-step explanation:
Given
[tex](\frac{6}{10})^3 * (\frac{5}{9})^2[/tex]
Required
Solve:
[tex](\frac{6}{10})^3 * (\frac{5}{9})^2[/tex]
Simplify 6/10
[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = (\frac{3}{5})^3 * (\frac{5}{9})^2[/tex]
Express 9 as 3^2
[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = (\frac{3}{5})^3 * (\frac{5}{3^2})^2[/tex]
Apply law of indices
[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3}{5^3}* \frac{5^2}{(3^2)^2}[/tex]
[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3}{5^3}* \frac{5^2}{3^4}[/tex]
Express as a sing;e fraction
[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3*5^2}{5^3*3^4}[/tex]
Apply law of indices:
[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5^{3-2}*3^{4-3}}[/tex]
[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5^1*3^1}[/tex]
[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5*3}[/tex]
[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{15}[/tex]
9.
Jacks Plumbing charges customers $100 per hour for repair jobs. Al's Plumbing charges according to the equation y = 75x + 50, where x = time in hours and y = cost
dollars
Explain why Ars Plumbing charges less than Jacks Plumbing for a 4-hour repair job.
Does Als Plumbing charge less than Jacks Plumbing for all repair jobs? Explain why or why not.
Answer:
As given,
Per hour cost of Jack's plumbing = $100
Also,
Al's plumbing charges = 75x + 50 where x = time in hours .
Now,
Al's plumbing cost for 4 hours:
Here , x = 4
⇒75x + 5 = 75(4) + 50 = 300 + 50 = 350
∴ we get
Al's plumbing cost for 4 hours = $350
Now,
As Jack cost for 1 hour = $ 100
⇒ For 4 hour = 4×$100 = $400
∴ we get
Jack's plumbing cost for 4 hours = $400
As we can see that
$ 400 > $350
⇒Jack's plumbing cost for 4 hours > Al's plumbing cost for 4 hours
Now,
Al's plumbing charges = 75x + 50 where x = time in hours .
For 1 hour
75x + 50 = 75(1) + 50 = 125
Al's 1 hour cost = $125
whereas Jack Plumbing cost for 1 hour = $100
∴ we get
$125 > $100
⇒Al's 1 hour cost > Jack's 1 hour cost
Now,
Al's 2 hour cost
75x + 50 = 75(2) + 50 = 150 + 50 = 200
Al's 1 hour cost = $200
whereas Jack Plumbing cost for 2 hour = $200
∴ we get
$200 = $100
⇒Al's 2 hour cost = Jack's 2 hour cost
Now,
Al's 3 hour cost
75x + 50 = 75(3) + 50 = 225 + 50 = 275
Al's 1 hour cost = $275
whereas Jack Plumbing cost for 3 hour = $300
∴ we get
$275 < $300
⇒Al's 3 hour cost < Jack's 3 hour cost
Als0,
Jack's plumbing cost for 4 hours > Al's plumbing cost for 4 hours
∴ we get
We can not say that Als Plumbing charge less than Jacks Plumbing for all repair jobs.
Because the charge is fluctuating ,
For 1 hour , Aly' charge is grater whereas The 2 hour cost of Jack's is higher.
So, the Correct answer is - No, Al's Plumbing charge is not always less than Jacks Plumbing for all repair jobs.
There were 60 people on bus. 40% were female. How many people were females and how many were males?
Answer:
There were 24 females and 36 men on the bus
Step-by-step explanation:
To find the amount of females on the bus you multiply the 60 passengers by 0.4 to mimic the 40% and you get 24. So there were 24 females and to find the men you simply subtract 24 and 60 to get 36
What is 8/x^2 + 6x • 2x ?
Answer:
8+12x^4/x^2
Step-by-step explanation:
i know im right!
Answer:
16/x + 6
Step-by-step explanation:
Edge 2021
What is the value of
7/3 divided by 5/6
Answer:
multiply the dividend denominator by the divisor numerator to make a new denominator:
7 x 6
3 x 5
=
42
15
Thus, the answer to 7/3 divided by 5/6 in fraction form is:
42
15
To make the answer to 7/3 divided by 5/6 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
42/15 = 2.8
The answer is rounded to the nearest four decimal points if necessary.
42/15 can be simplified to 14/5.
14/5 is an improper fraction and should be written as 2 4/5.
Step-by-step explanation:
42/25 = 2 4/5 = 2.8 is the value of 7/3 divided by 5/6 .
Here, we have,
given that,
7/3 divided by 5/6
so, we get,
7/3 / 5/6
=7/3 x 6/5
multiply the dividend denominator by the divisor numerator to make a new denominator:
7 x 6/3 x 5
= 42/15
Thus, the answer to 7/3 divided by 5/6 in fraction form is:
42/15
To make the answer to 7/3 divided by 5/6 in decimal form, we simply divide the numerator by the denominator from the fraction answer above:
42/15 = 2.8
The answer is rounded to the nearest four decimal points if necessary.
42/15 can be simplified to 14/5.
14/5 is an improper fraction and should be written as 2 4/5.
Learn more about the Division here:
brainly.com/question/22357901
#SPJ6
use the pythagorean theorem to write an equation for the distance Jane's trainer bikes.
Complete question is;
Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs 12 miles west. Her trainer bikes from the health club to meet jane at the end of her run. Use the pythagorean theorem to write an equation for the distance janes trainer bikes
Answer:
x = √(12² + 16²)
Step-by-step explanation:
We are told that;
She bikes from health club to South = 16 miles
From South to West = 12 miles
Her trainer bikes from the health club to meet her at the end which is west.
I have attached a diagram showing this movement in form of a triangle.
From the diagram I attached, I have depicted the distance the trainer bikes as x.
Using pythagoras theorem;
x² = 12² + 16²
x = √(12² + 16²)
A box of cereal states that there are 87 calories in a 3 4-cup serving. What is the unit rate for calories per cup? How many calories are there in 3 cups of the cereal?
Answer:
3 cups = 348 calories
Step-by-step explanation:
Step 1
Let the calories in one cup be represented as C
Therefore
3/4 x C = 87 calories
C = 87 X 4 / 3 = 116
unit rate is 116 calories per cup.
Step 2- Solving the number of calories in 2 cups
1 cup serving = 116 calories
2 cups servings = 116 x 2= 232 calories
116 x 3 = 348 calories
Credit: tutorAnne
If there are two boys to every three girls, what percent of the class is girls?
Explain answer !!
( WILL GIVE BRAINLEST)
Answer:
25-7
Step-by-step explanation:
"Substitute for": Replace x with ____
Since it is given that x = 25 -y, we can replace the x in 5x + y = 10 with 25 - y by the substitution property of equality.
Answer:
The expression to substitute for x is: 25-y, as said in the first equation
Step-by-step explanation:
Not sure if you need to solve for the variables, but here:
To find y:
Put 25-y in place of x.
You will get:
5(25-y) + y = 10
Use the Distributive Property and multiply 25 and y by 5:
125 - 5y + y = 10
Combine like terms (the y's):
125 - 4y = 10
Put like terms on the same side (move the 125 to the right side of the equal sign by subtracting 125 from both sides:
-4y = -115
Divide both sides by -4:
y = 28.75 (or 28-3/4)
To find x:
Substitute 28.75 for y in either equation.
First equation:
x= 25 - 28.75
x= -3.75
Second equation:
5x + 28.75 = 10
Subtract 28.75 from both sides:
5x = -18.75
Divide both sides by 5:
x = -3.75
PLZZZZ HELP QUICK
Ted and Katie have saved up a total of $94.00. Ted has saved 6 dollars less than 4 times as much as Katie. How much has Katie saved?
Answer:
22
Step-by-step explanation:
94-6 divided by 4
Answer:
LOOK BELOW IN STEP-BY-STEP
Step-by-step explanation:
First, do $94.00 times 4 which is $376
Then, take away 6 dollars from $376 which is $370
Hope that helped!!!
pls do this exponent worksheet
I need assistance please
Answer:
23
Step-by-step explanation:
6/3 = x-5/9 simplify the first fraction
2= x-5/9 multiply both of the sides
18 = x-5/9 move it around correctly
-x=-5-18 calculate it
-x=-23 the negatives cancel out
x=23
Find the equation of the line use exact numbers really need this plz
Answer:
Y = 4 and X = -6 , So the equation would be 4 + -6
Step-by-step explanation:
Look at were the line go across the numbers in Line Y and Line X this will help you understand more. And i also answered first :)
Answer:
y=3/2x+4
Step-by-step explanation:
First we find the slope.
To find the slope, we use this equation:
x2-x1/y2-y1=slope
So, we just need to pick any two points on the line.
(0, 4) and (3, 6)
3-0/6-4
3/2
The slope is 3/2.
Now, all we need to find is the B in y=3/2x+B
B is also known as the y intercept.
Since the line passes through 4 when x=0, the y intercept is 4.
So the equation is:
Y=3/2x+4
Find the Value of X using Pythagorean theorem please round to the nearest tenth
Answer: [tex]x=\sqrt{18}[/tex]
Step-by-step explanation:
We can use Pythagorean's Theorem for the triangle on the bottom. The resulting answer will give the side length of the square.
[tex]3^2+3^2=\sqrt{18}[/tex]
The time of a pendulum varies as the square root of its length. If the length if a pendulum which beats 15seconds is 9cm, find the length that beats 80seconds and the time of a pendulum with length 36cm
Answer:
length= 3.7 ft.
Step-by-step explanation:
T= (square root of length) * k
1.8 seconds = (square root of 3) * k
k= 1.8 seconds / (square root of 3)
a.) T= (square root of 11) k
substituting k:
T=(square root of 11) * 1.8 seconds / (square of 3)
T= 3.4 seconds
b.) 2 seconds = (square root of length) k
substituting k:
2 seconds =(square root of length) 1.8 seconds / (square root of 3)
Divide the equation by 1.8 seconds / (square root of 3):
2 seconds / [1.8 seconds / (square root of 3)] = (square root of length)
10(square root of 3) / 9 = (square root of length)
square both sides:
100/7 ft= length
length= 3.7 ft.
Hope this helps.
Can someone please help
Answer:
(-4)^10
Step-by-step explanation:
When doing this sort of problem, we multiply the exponents.
This is the power rule.
Find f(5) for f(x)= 1/9(3)^x
A. 27
B. 3
C. 9
D. 81
Answer:
A 27
Step-by-step explanation:
f(5) means x = 5, so substitute 5 into 1/9(3)^x
f(5) = 1/9(3^5) = 1/9(243) = 27
Answer:
27
Step-by-step explanation:
What fraction of 1/2 is 1/9?
Answer: 1/4.5
Step-by-step explanation:
9/2=4.5
identify the transformation shown by the two lines on the graph as a dilation or translation.
a) translation
b) dilation
Answer:
a) translation
Step-by-step explanation:
We have two lines on the map.
One is given by g(x) = -x + 1, and the other is f(x) = x + 1.
The change from f to g is given by:
[tex]g(x) = f(-x)[/tex]
Which represents a translation in the function.
Copy this table and fill in the missing numbers 10% 30% 50% 70% 100% 75%
Answer:
20 % 40% 60% 80% 90% is the numbers you're missing.
Step-by-step explanation:
10 ,20, 30, 40, 50, 60, 70, 80, 90, 100. The numbers underlined is what you're missing and their in order. 10-100.