Answer:
no solution
Step-by-step explanation:
John drove 144 miles in 6 hours. If he drove at a constant rate, how far did he travel in one hour
Answer:
24 miles in 1 hour
144 divded by 6 = 24
Hope this helps! If so I would appricate brainliest
Answer:
The answer is 24 milesStep-by-step explanation:
In order to solve this question we use ratio and proportion
From the question, for 6 hours John drove 144 miles
If 6 hours = 144 miles
Then one hour would be
[tex] \frac{144 \times 1}{6} = \frac{144}{6} \\ [/tex]
We have the final answer as
24 milesWhat is 2/3 x 3/4 please help
Answer:
1/2
Step-by-step explanation:
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 eighth grade math teachers decided to
reward their students for working so hard
during the first semester of the school year. If
there are 175 eighth graders and the
teachers bought 715 cookies, how many
cookies will each student get?
I NEED ANSWER ASAP PLEASE HELP
Answer:
this would be your answer not sure if you need to round 4.085 so pretty much the answer would be 3 because you have enough for about 4 and a half
Step-by-step explanation:
The base area of a right circular cone is 1/4 of its total surface area. What is the ratio of the radius
to the slant height?
Given:
The base area of a right circular cone is [tex]\dfrac{1}{4}[/tex] of its total surface area.
To find:
The ratio of the radius to the slant height.
Solution:
We know that,
Area of base of a right circular cone = [tex]\pi r^2[/tex]
Total surface area of a right circular cone = [tex]\pi rl+\pi r^2[/tex]
where, r is radius and l is slant height.
According to the question,
[tex]\pi r^2=\dfrac{1}{4}(\pi rl+\pi r^2)[/tex]
Multiply both sides by.
[tex]4\pi r^2=\pi rl+\pi r^2[/tex]
[tex]4\pi r^2-\pi r^2=\pi rl[/tex]
[tex]3\pi r^2=\pi rl[/tex]
Cancel out the common factors from both sides.
[tex]3r=l[/tex]
Now, ratio of the radius to the slant height is
[tex]\dfrac{r}{l}=\dfrac{r}{3r}[/tex]
[tex]\dfrac{r}{l}=\dfrac{1}{3}[/tex]
Therefore, the ratio of the radius to the slant height is 1:3.
Based only on the given information, it is guaranteed that Ac = bc
Answer:
True
Step-by-step explanation:
True because if AC = BC, then the triangles are the same.
The side AC is congruent to the side BC the statement is true.
What is congruency?The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.
In the given figure we can see that the ∠ACD ≅ ∠BCD and AB ⊥ CD mean that the line CD is dividing the line AB into two equal parts.
Therefore, the side AC is congruent to the side BC the statement is true.
Learn more about congruency at
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If sqrt 16 = x, then x2 =
Answer:
The square root of 16=4, 4x2=8, x2=8.
Step-by-step explanation:
A line passes through (2, 7) and has a slope of -4. What is its equation in point-slope form?
Sorry I'm bad
Answer:
y= (-4/1)x -1
Step-by-step explanation:
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
$75 dinner; 18% tip
Explained step by step pls
Answer: $13.50
Step-by-step explanation:
Answer:
$13.5
Step-by-step explanation:
Everything you do is multiply 75 by 0.18 ( 0.18 represents 18%)
which gives you 13.5, so the tip would be $13.50
help needed please answer asap
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.
How many milliliters are in 3 gallons? Explain.
there are 11356.2 milliliters in 3 us gallons
The Sweet Shoppe sells a half-dozen cupcakes for $16.50. The Cupcake Factory sells a dozen cupcakes for $30.00. Jameska purchases two cupcakes from each shop. What is the difference in the purchases?
The difference in the purchases is $
.
Answer:
$1.50
Step-by-step explanation:
The cost of half of dozen of cupcakes at Sweet Shoppe = $16.50.
The cost of a dozen cupcakes at Cupcake factory = $30.00. Therefore the cost of half a dozen cupcakes at Cupcake factory = $30.00 / 2 = $15.00
The difference in purchases = cost of half a dozen cupcakes at Sweet Shoppe - cost of half of dozen of cupcakes at cupcake factory
The difference in purchases = $16.50 - $15.00 = $1.50
This means that their is a difference of $1.50 for half a dozen cupcakes between the Sweet Shoppe and cupcake factory.
What are the values for a and b?
Answer:
a= 10 b= 6
Step-by-step explanation:
When multiplying exponents they should be added together and when dividing they should be subtracted from each other.
2+8=10 & 10-4= 6
COLLE
past d
see co
A boat capsized and sank in a lake Based on an assumption of a mean weight of 131 lb, the boat was rated to carry 60 assengers (s the load lin was 7,860 lb).
After the boat sank, the assumed mean weight for similar boats was changed from 131 lb to 173 lb Complete parts a and below.
a. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mea of 176 1 lb end a standard
deviation of 40.2 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 131 ||
The probability is
(Round to four decimal places as needed)
b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,941 lb. Find the probability t at the boat is erloaded bause the
mean weight of the passengers is greater than 173 (so that their total weight is greater than the maximum capacity of 29 1 lb)
The probability is
(Round to four decimal places as needed)
Do the new ratings appear to be safe when the boat is loaded with 17 passengers? Choose the correct answer below.
sees o
ents
see sc
see sco
past do
O A. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appes to be safe
OB. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with passengers
OC. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 17 passe ers:
Click to select your answer(s)
past due
Determine the intercepts of the line.
Y-intercept(__ , __)
X-intercept(__,__)
Answer:
Y-intercepts: (0,6)
X-intercepts: (8,0)
Answer:
Y-intercept: (0,-6)
X-intercept: (-8,0)
Step-by-step explanation:
In order to find an intercept, you have to know the difference in the two axis. The intercept is just where the plot line hits the axis. On the top, left side, you can see that the blue line his the black x-axis at -8 over to the right but it doesn't mover down. This means the x-intercept hits at (-8,0). On the upper, right side, you can see that the blue line his the black y-axis by not moving sideways, but it does go -6 down. This means that the y-intercept would be (0,-6).
f(x)=1/3(4-x)^2 ................
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%.
To learn more on probability click:
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Help me plz
8th grade math
Answer
I would say the 3rd one.
Step-by-step explanation:
I do not really remember this but I am in 8th grade math to (Algebra)
Divide polynomials using long division
(10h+20)÷(h+2)
Answer:
10
Step-by-step explanation:
Put the h+2 on the outside and 10h+20 on the inside
h+2 can go into 10h+20 ten times.
So the final answer is 10
find the value of each missing variable?
Step-by-step explanation:
9x - 2 = 5x + 54 because these angles are corresponding
9x - 5x = 54 + 2 add/subtract like terms
4x = 56 and this divided by 4
x = 14
9x - 2 + 10y + 6 = 180° because these two angles makes a straight line
9×14 - 2 + 10y + 6 = 180°
126 - 2 + 10y + 6 = 180° add like terms
130 + 10y = 180° subtract 130 from both sides
10y = 50 divide by 10
y = 10
1
2
How did Buddhism change as it spread throughout Asia?
Buddhism became less focused on seeking enlightenment.
Buddhism combined with Hinduism to create a new religion.
Buddhism split into three groups based on the places where it spread.
Buddhism adopted Christian and Islamic teachings to reach a wider audience.
Answer:
Buddhism split into three groups based on the places where it spread.
Step-by-step explanation:
Answer:
Buddhism split into three groups based on the places where it spread.
Step-by-step explanation:
The FIFO method of computing equivalent units excludes the beginning inventory costs in computing the cost per equivalent unit for the current period.
Answer:
Yes
Step-by-step explanation:
The FIFO method of process costing assumes that the opening work in process is the first group of units to be processed and completed during the current period. The opening work in progress is charged separately to completed production and the cost per unit is based only on the current period costs and the production for the current period. The closing work in process is assumed to come from the new units started during the period.
What is 3/100 - 1/50 equal?
Answer:
0.01?
Step-by-step explanation:
Which number sentence represents the Associative Property of Addition?
18 + 7 = 7 + 18
4 + (1 + 11) = (4 + 1) + 11
0 + 90 = 90
22 + 3 = 25
Answer:
18+7=7+18
Step-by-step explanation:
Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes.
Descent = 10 feet
Time required = 2 1/2 minutes.
The rate of descent = (10 feet)/(2.5 mn) = 4 ft/min
In 6 minutes, the descent will be
(4 ft/min)*(6 min) = 24 ft
Answer:
(a) 4 feet/minute
(b) 24 feet
Felipe has a flower bed with area 25/4 ft.squared. He expands the flower bed to have area 75/4 ft.squared. How many square ft of space does the larger flower bed have for every square foot of the smaller flower bed?
Answer: 3
Step-by-step explanation:
Given data:
Area of smaller flower bed = 25/4
Area of bigger flower bed = 75/4.
Solution:
75/4 = 25/4
Divide both sides 5
15/4 = 5/4
= 15/4 / 5/4
= 15/4 / 4/5
= 3
Answer:
The larger flower bed has 3 square ft of space for every square foot of the smaller flower bed
Step-by-step explanation:
In other words in this question, we are asked to calculate how many of the smaller flower bed is contained in the larger one.
Mathematically, that would be 25/4 squares ft divided by 75/4 squared feet
Thus will be 75/4 divided by 25/4
Hence 75/4 * 4/25 = 3
pls help:( i’ll mark brainlest!
Answer:
[tex]\sqrt{26}[/tex]
Step-by-step explanation:
Since there are no exponents in this problem, the next step is
✔ (- 2)2.2
.
Simplify the previous step and you get
.
The final answer is
Anwers:
22 is the answer
What Ratio can you write that compares days with games two days without them right this ratio three ways to
Answer:
As a fraction: [tex]\mathbf{\dfrac{363}{2}}[/tex]
As a colon, 363:2
By using the word to; we have: 363 to 2
Step-by-step explanation:
A ratio is a comparison of two quantities. We can write a ratio as a fraction, using the word “to,” or using a colon.
A rate is a ratio that compares two different units, such as distance and time, or a ratio that compares two different things measured with the same unit, such as cups of water and litres of petrol.
We can use a ratio to compare the number of days regardless of employing any professional sports events each year with the total number of days in a year.
The ratio with which we can write, that compares days with games in a year with two days without them can be written in three ways.
Suppose there are 365 days in a year and it appears that two days in that year exist without a game.
i.e.
365 - 2(days without game) = 363 days with a game
Then:
As a fraction: [tex]\mathbf{\dfrac{363}{2}}[/tex]
As a colon, 363:2
By using the word to; we have: 363 to 2
Answer:
a to b a:b a/b
Ratio that compare days with games to days without them:
1- 363 to 2
2- 363 : 2
3- 363 / 2
Step-by-step explanation:
Ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
A ratio compares two quantities by division, with the dividend.
We can write a ratio to compare the number of days without any professional sports events each year with the total number of days in a year.
There are three ways to write a ratio to express the relationship between two quantities.
a to b a:b a/b
Ratio that compare days with games to days without them:
1- 363 to 2
2- 363 : 2
3- 363 / 2
These are the three ways to describe a ratio.