Answer:
Top left
Step-by-step explanation:
If an x value (domain) leads to more than one y-value (range), it is not a function. In other words, if each input value leads to only one output value, it is a function. It's still a function if the y-value leads to multiple x-values.
Bond X is a premium bond making semiannual payments. The bond pays a coupon rate of 9 percent, has a YTM of 7 percent, and has 13 years to maturity. Bond Y is a discount bond making semiannual payments. This bond pays a coupon rate of 7 percent, has a YTM of 9 percent, and also has 13 years to maturity. The bonds have a $1,000 par value.
What is the price of each bond today? If interest rates remain unchanged, what do you expect the price of these bonds to be one year from now? In three years? In eight years? In 12 years? In 13 years?
Answer:
Bond Xcurrent market price:
PV of face value = $1,000 / (1 + 3.5%)²⁶ = $
PV of coupon payments = $45 x 16.89035 (PV annuity factor, 3.5%, 26 periods) = $760.07
current market price = $408.84 + $760.07 = $1,168.91
price in 1 year:
PV of face value = $1,000 / (1 + 3.5%)²⁴ = $437.96
PV of coupon payments = $45 x 16.05837 (PV annuity factor, 3.5%, 24 periods) = $722.63
market price = $437.96 + $722.63 = $1,160.59
price in 3 years:
PV of face value = $1,000 / (1 + 3.5%)²⁰ = $502.57
PV of coupon payments = $45 x 14.2124 (PV annuity factor, 3.5%, 20 periods) = $639.56
market price = $502.57+ $639.56 = $1,142.13
price in 8 years:
PV of face value = $1,000 / (1 + 3.5%)¹⁰ = $708.92
PV of coupon payments = $45 x 8.31661 (PV annuity factor, 3.5%, 10 periods) = $374.25
market price = $708.92 + $374.25 = $1,083.17
price in 12 years:
PV of face value = $1,000 / (1 + 3.5%)² = $933.51
PV of coupon payments = $45 x 1.89969 (PV annuity factor, 3.5%, 2 periods) = $85.49
market price = $933.51 + $85.49 = $1,019
price in 13 years:
market price = $1,000 + $45 = $1,045
Bond Ycurrent market price:
PV of face value = $1,000 / (1 + 4.5%)²⁶ = $318.40
PV of coupon payments = $35 x 15.14661 (PV annuity factor, 4.5%, 26 periods) = $530.13
current market price = $318.40 + $530.13 = $847.53
price in 1 year:
PV of face value = $1,000 / (1 + 4.5%)²⁴ = $347.70
PV of coupon payments = $35 x 14.49548 (PV annuity factor, 4.5%, 24 periods) = $507.34
market price = $347.70 + $507.34 = $855.04
price in 3 years:
PV of face value = $1,000 / (1 + 4.5%)²⁰ = $414.64
PV of coupon payments = $35 x 13.00794 (PV annuity factor, 4.5%, 20 periods) = $455.28
market price = $414.64+ $455.28 = $869.92
price in 8 years:
PV of face value = $1,000 / (1 + 4.5%)¹⁰ = $643.93
PV of coupon payments = $35 x 7.91272 (PV annuity factor, 4.5%, 10 periods) = $276.95
market price = $643.93 + $276.95 = $920.88
price in 12 years:
PV of face value = $1,000 / (1 + 4.5%)² = $915.73
PV of coupon payments = $35 x 1.87267 (PV annuity factor, 4.5%, 2 periods) = $65.54
market price = $915.73 + $65.54 = $981.27
price in 13 years:
market price = $1,000 + $35 = $1,035
The capacity of a dump truck is listed by the manufacturer as 10 yd3 . A construction site requires the removal of of dirt, and the contractor has four identical trucks. How many trips will each need to make
Question:
The capacity of a dump truck is listed by the manufacturer as 10 yd^3. A construction site requires the removal of 200 m^3 of dirt, and the contractor has three identical trucks. How many trips will each need to make?
Answer:
7 trips
Step-by-step explanation:
Given
[tex]Capacity = 10yd^3[/tex]
[tex]Dirts = 200m^3[/tex]
[tex]Trucks = 4[/tex]
Required
Determine the number of trips of each truck
Divide the volume of dirts by 4 to get the portion of each truck
[tex]Each\ Truck = \frac{200m^3}{4}[/tex]
[tex]Each\ Truck = 50m^3[/tex]
Divide the portion of each truck by capacity of each truck to get the number of trip
[tex]Trip = \frac{50m^3}{10yd^3}[/tex]
Convert m^3 to yd^3
[tex]Trip = \frac{50 * 1.30795yd^3}{10yd^3}[/tex]
[tex]Trip = \frac{65.3975yd^3}{10yd^3}[/tex]
[tex]Trip = \frac{65.3975}{10}[/tex]
[tex]Trip = 6.53975[/tex]
Approximate:
[tex]Trip = 7[/tex]
Would 3.99. million flies or 47,000,000 ants have a greater mass
Ants
Step-by-step explanation:
Help please
-x^3 = 216
a. +/- 6
B. 6
C. -6 ∛6
D. -6
Answer:
D. -6
Step-by-step explanation:
SInce x is negative, the - before the six would be cancelled out leaving the equation to be 6^3=216 which is correct
help with math pls pls
Answer:
62 degrees
Step-by-step explanation:
If 167 degrees is the whole angle measurement, then you take 167-105.
What is the measurement of G?
Answer:
59 Degrees!!
Step-by-step explanation:
Answer:
59°
Step-by-step explanation:
180 - (57 + 64) =
180 - 121 = 59
(PLS HELP 50 PTS + BRANLIEST)
A={2, 3, 5, 7, 10} B={1, 4, 6, 8, 9, 10}, C={5, 6, 7}. The universal set U={1, 2, 3, 4, 5, ...10} List the elements of the following:
AUC=
A⋂U=
A⋂Ø=
Ā=
ĀUB=
Answer:
AUC= {2,3,5,6,7,10}
The second one=A
The third one= empty
I'm sorry. I don't know the others.
A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.57 feet. Assume that the lengths of individual pipes produced by the process are independent. Let X and Y represent the lengths of two different pipes produced by the process. h)What is the probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X)
The probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is approximately 2.6092%.
Here,
Since the length of the pipes follows a uniform distribution on the interval [10 feet, 10.57 feet], the probability density function (PDF) for each pipe is:
f(x) = 1 / (10.57 - 10) = 1 / 0.57 ≈ 1.7544 for 10 ≤ x ≤ 10.57
Since the lengths of the pipes are independent, the joint probability density function (PDF) of X and Y is the product of their individual PDFs:
f(x, y) = f(x) * f(y) = 1.7544 * 1.7544 = 3.0805 for 10 ≤ x ≤ 10.57 and 10 ≤ y ≤ 10.57
Now, we want to find the probability that the second pipe (Y) is more than 0.11 feet longer than the first pipe (X).
Mathematically, we want to find P(Y > X + 0.11).
Let's set up the integral to calculate this probability:
P(Y > X + 0.11) = ∬[10 ≤ x ≤ 10.57] [y > x + 0.11] f(x, y) dx dy
We integrate with respect to x first and then with respect to y:
P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] ∫[10 ≤ x ≤ y - 0.11] f(x, y) dx dy
P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [∫[10 ≤ x ≤ y - 0.11] 3.0805 dx] dy
P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [3.0805 * (x)] from x = 10 to x = y - 0.11 dy
P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [3.0805 * (y - (10 - 0.11))] dy
P(Y > X + 0.11) = 3.0805 * ∫[10 ≤ y ≤ 10.57] (y - 9.89) dy
P(Y > X + 0.11) = 3.0805 * [(y² / 2) - 9.89y] from y = 10 to y = 10.57
P(Y > X + 0.11) = 3.0805 * [((10.57)² / 2) - 9.89 * 10.57 - (((10)² / 2) - 9.89 * 10)]
P(Y > X + 0.11) = 3.0805 * [((111.7249 / 2) - 104.9135 - (50 / 2 - 98.9)]
P(Y > X + 0.11) = 3.0805 * [(55.86245 - 104.9135 + 49.9)]
P(Y > X + 0.11) = 3.0805 * [0.84895]
P(Y > X + 0.11) ≈ 2.6092
Therefore, the probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is approximately 2.6092%.
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The radius of a semicircle is 2 yards what is the semicircle’s perimeter
Pls help me plssss. Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69,65, 87.
What is the mean height of Bella's corn stalks? ——————————
O A 69 cm
O B. 75 cm
O C. 78 cm
OD 80 cm
O E 81 cm
Answer:
the answer is C. 78
Step-by-step explanation:
First, you have to add together 81, 88, 69, 65, and 87; its total is 390. The next step is to see how many numbers there are. In total there are 5 numbers. Lastly, you have to divide 390 by 5 which is 78.
Diana goes on vacation with $260. Each day, she spends the same amount of
money. After 1, 2, 3, and 4 days on vacation, she has $242, $224, $206, and
$188, respectively.
Please help
what is 2(3x+4)=x-7
Which equation would you choose in order to most easily identify the vertex?
K
y = 9x4 + 6x2 +1
y = x2 + 6x + 9
y = (x + 6)(x + 9)
y = (x + 6)2 +9
a 5
Answer:
last
Step-by-step explanation:
The output from the machine depends on the input to to
A.
B.
C.
D.
Answer:
i think its B
Step-by-step explanation:
Solve the inequality. 12x<-144
Answer:
Step-by-step explanation:
x=-12
Answer:
x= -12
Step-by-step explanation:
Which table of values will generate this graph?
On a coordinate plane, points are at (negative 2, 0), (0, 1), (0, negative 4), and (3, 0).
Answer:
i need help with this to
Step-by-step explanation:
the table of values will be values of x and y respectively.
x= -2,0,0,and 3
y= 0,1,-4 and 0.
A chemist is performing an experiment by observing the effects when she combines two solutions. She monitors the temperature of the combined solution over the course of eight hours and records it in this table below.
The chemist can model the temperature with a polynomial function. During these eight hours, over what interval is the temperature decreasing?
A. From hour 0 to hour 8
B. From hour 5 to hour 8
C. From hour 0 to hour 5
D. From hour 2 to hour 6
Answer:
A. From hour 0 to hour 5
Step-by-step explanation:
For all Plato users
Interval of the temperature decreasing is from hour 0 to hour 5.
What is interval?
an interval is defined as a group of numbers which includes all numbers between the beginning and the end.
According to given data is showing that the temperature decreasing zero hour to 1 hour , then 1 to 2 hour, then 2 to 3 hour, then 3 to 4 hour, then 4 to 5 hour.
So the interval of the temperature decreasing is from hour 0 to hour 5.
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How much smaller is x−3 than x+4?
Answer: bsf google
Step-by-step explanation: go to google look it up and find the answer
Answer:
x-3
Step-by-step explanation:
It's x-3 because if you put 12-3 it will be 9 but if you add x+4 it will be 16
In , the Pew Internet & American Life Project asked teens aged to several questions about their attitudes toward social media. The results showed that say social media makes them feel more connected to what is going on in their friends' lives; say social media helps them interact with a more diverse group of people; and feel pressure to post content that will get a lot of likes and comments.
Round your answers to four decimal places.
a. Develop a point estimate of the proportion of teens aged to who say social media makes them feel more connected to what is going on in their friends' lives.
b. Develop a point estimate of the proportion of teens aged to who say social media helps them interact with a more diverse group of people.
c. Develop a point estimate of the proportion of teens aged to who feel pressure to post content that will get a lot of likes and comments.
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]\^ p_1 = 0.8102 [/tex]
b
[tex]\^ p_2 = 0.6904 [/tex]
c
[tex]\^ p_3 = 0.3701 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 743
The number that said social media makes them feel more connected to what is going on in their friends' lives is k = 602
The number that said social media helps them interact with a more diverse group of people is y = 513
The number that said feel pressure to post content that will get a lot of likes and comments is c = 275
Generally a point estimate of the proportion of teens aged 13 to 17 who say social media makes them feel more connected to what is going on in their friends' lives is mathematically represented as
[tex]\^ p_1 = \frac{k}{n}[/tex]
=> [tex]\^ p_1 = \frac{602}{743 }[/tex]\
=> [tex]\^ p_1 = 0.8102 [/tex]
Generally a point estimate of the proportion of teens aged 13 to 17 who say social media helps them interact with a more diverse group of people is mathematically represented as
[tex]\^ p_2 = \frac{k}{n}[/tex]
=> [tex]\^ p_2 = \frac{513}{743 }[/tex]\
=> [tex]\^ p_2 = 0.6904 [/tex]
Generally a point estimate of the proportion of teens aged 13 to 17 who feel pressure to post content that will get a lot of likes and comments is mathematically represented as
[tex]\^ p_3 = \frac{k}{n}[/tex]
=> [tex]\^ p_3 = \frac{275}{743 }[/tex]
=> [tex]\^ p_3 = 0.3701 [/tex]
The point estimate of the teens aged to who say social media makes them feel more connected is 0.8102.
How to calculate the point estimateThe point estimate of the proportion of teens aged to who say social media makes them feel more connected to what is going on in their friends' lives will be:
= Number of teens / Sample size
= 602/743
=™0.8102
The point estimate of the proportion of teens aged to who say social media helps them interact with a more diverse group of people will be:
= 513/743
= 0.6904
The point estimate of the proportion of teens aged to who feel pressure to post content that will get a lot of likes and comments will be:
= 275/743
= 0.3701
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350 - 15x = 200 - 10x
Sam’s Jet Ski rental charges $350 to rent a jetski plus $15 per hour. Brian’s Jet Ski rental charges $200 to rent a jetski plus $10 per hour
Steven has an account with $350 in it and he withdrawals $15 per day. Jessica has an account with $200 and withdrawals $10 per day.
Water tank A has 350 gallons of water and is losing 10 gallons per minute. Water tank B has 200 gallons of water and is losing 15 gallons per minute
Tree A has a height of 350 centimeters and is growing at a rate of 15 cm per day. Tree B has a height of 200 centimeters and is growing at a rate of 10 centimeters per day
Answer
Steven has an account with $350 in it and he withdrawals $15 per day. Jessica has an account with $200 and withdrawals $10 per day.
what is the sum a 23 and 4 /4
Answer:
the anwser is 24 please mark brianliest
Answer:
The answer is 24.
Big chickens: The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1387 grams and standard deviation 192 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1150 and 1308 grams? (b) What is the probability that a randomly selected broiler weighs more than 1510 grams? (c) Is it unusual for a broiler to weigh more than 1610 grams? Round the answers to at least four decimal places.
Answer:
a) 0.2318
b) 0.2609
c) No it is not unusual for a broiler to weigh more than 1610 grams
Step-by-step explanation:
We solve using z score formula
z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Mean 1387 grams and standard deviation 192 grams. Use the TI-84 Plus calculator to answer the following.
(a) What proportion of broilers weigh between 1150 and 1308 grams?
For 1150 grams
z = 1150 - 1387/192
= -1.23438
Probability value from Z-Table:
P(x = 1150) = 0.10853
For 1308 grams
z = 1308 - 1387/192
= -0.41146
Probability value from Z-Table:
P(x = 1308) = 0.34037
Proportion of broilers weigh between 1150 and 1308 grams is:
P(x = 1308) - P(x = 1150)
0.34037 - 0.10853
= 0.23184
≈ 0.2318
(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?
1510 - 1387/192
= 0.64063
Probabilty value from Z-Table:
P(x<1510) = 0.73912
P(x>1510) = 1 - P(x<1510) = 0.26088
≈ 0.2609
(c) Is it unusual for a broiler to weigh more than 1610 grams?
1610- 1387/192
= 1.16146
Probability value from Z-Table:
P(x<1610) = 0.87727
P(x>1610) = 1 - P(x<1610) = 0.12273
≈ 0.1227
No it is not unusual for a broiler to weigh more than 1610 grams
Solve graphically, 2x^2+2x-4=0
Question 1. Write a function called simulate that generates exactly one simulated value of your test statistic under the null hypothesis. It should take no arguments and simulate 50 area codes under the assumption that the result of each area is sampled from the range 200-999 inclusive with equal probability. Your function should return the number of times you saw the 781 area code in those 50 random spam calls.
Answer:
The function written in python is as follows:
import random
def simulate():
count = 0
for i in range(1,51):
num = random.randint(200,1000)
if num == 781:
count = count + 1
print(count)
Step-by-step explanation:
This line imports the random library
import random
This line defines the function
def simulate():
This line initializes count to 0
count = 0
This line iterates from 1 to 50
for i in range(1,51):
This line generates random number between 200 and 999
num = random.randint(200,1000)
This line checks if random number is 781
if num == 781:
If yes, the count variable is incremented by 1
count = count + 1
This line prints the number of times 781 is generated
print(count)
#9A
What is a reasonable first step to solve for y?
1/ 4x + 3y = 2z
logan drew 4 hearts and 40 circles. What is the ratio of hearts to al shapes?
Answer:
1:11
Step-by-step explanation:
4(hearts):44(all) in simplest form is 1:11 because 4 and 44 are divisible by 4.
Answer:4:40
Step-by-step explanation:
Helppp need help (p.s: Zearn
(50×20) - (1×20)
Step-by-step explanation:
there is 50 twenties (20) so its 50 × 20 and 1 twenty is 20
A television with a 5:3 screen shows an image with a ratio of 5:4 which creates a letter boxed image. What percent of the screen’s area is occupied by the image?
a)
133%
b)
75%
c)
20%
d)
33%
e)
25%
Answer:
C
Step-by-step explanation:
An electrican's shop charges $55
service fee plus $50 per hour for labor.
The linear equation that models
C= $50+ $55, where h is the number of labor hours and C is the total cost.
How much would the shop charge a customer for a job that takes 17hrs?
Answer:
$905
Step-by-step explanation:
$50×h+55=?
h=17 and you pay so $50×h
so $50×h=850
so now that you calculated the cost of the labor add the $55 dollar service fee
850+55=905
Wite the number
in standered form 80+9=
Answer:
89
eighty-nine