A right cylinder-shaped water tank is used to supply water to a reservoir. If the cylinder has a diameter of 16 feet and a height of 22 feet, what is a reasonable estimate of the maximum amount of water the tank can hold? (Use π≈3.14)
9514 1404 393
Answer:
4421 cubic feet
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr²h
where r is the radius (half the diameter), and h is the height.
Using your numbers, the cylinder volume is ...
V = (3.14)(8 ft)²(22 ft) ≈ 4421.12 ft³
The maximum amount of water the tank can hold is about 4421 cubic feet.
For which of these ARMs will the interest rate stay fixed for 8 years and then
be adjusted every year after that?
A. 8/8 ARM
B. 8/1 ARM
C. 1/8 ARM
ОО
D. 1/1 ARM
SUBMIT
Answer:Its B
Step-by-step explanation:
Bc I just got it right
ARM for which interest will stay fixed for 8 years and then be adjusted every year after that = 8/1 ARM
The correct option is (B).
What Is an Adjustable-Rate Mortgage (ARM)?The term adjustable-rate mortgage (ARM) refers to a home loan with a variable interest rate. With an ARM, the initial interest rate is fixed for a period of time. After that, the interest rate applied on the outstanding balance resets periodically, at yearly or even monthly intervals.
Given statement
ARM for which Interest rate stay fixed for 8 years and then be adjusted every year after that.
Above information is typically expressed in two numbers. The first number indicates the length of time that the fixed rate is applied to the loan, while the second refers to the duration or adjustment frequency of the variable rate.
By the above method ARM for Interest rate stay fixed for 8 years and then adjusted every year after that can be expressed as 8/1 ARM.
Hence, for 8/1 ARM, interest rate will stay fixed for 8 years and then
be adjusted every year after that.
Learn more about ARM here:
https://brainly.com/question/13028045
#SPJ2
(Has, Have) the books or other supplies come?
has or have?
Answer:
have
Step-by-step explanation:
Have is used alongside plural nouns , And has is used alongside singular nouns. So books and supplies are plural so you use have
What is the slope of the line? Anwer
Answer:
1/3
Step-by-step explanation:
First you have to do this step to find your slope: y2-y1/x2-x1
So your first point is (0,-4) (3,-3)
I got 1/3
You can also do rise over run as well
Which one is bigger 1 3/5 or 1.9
Answer:
1.9
Step-by-step explanation:
1 3/5 is the same as 1.6. So, which ones bigger? 1.9.
A recipe uses 150g butter, 500g sugar, and 100g currants to make 18 small cakes?
a. how many of each ingredient will be needed to make 6 dozen cakes
b. how many whole cakes could be made with 1kg of butter
Answer:
a. The following will be needed to make 6 dozen cakes:
Number of grams of butter needed = 600g
Number of grams of sugar needed = 2,000g
Number of grams of currants needed = 400g
b. The number whole that cakes could be made with 1kg of butter is still 18 whole cakes.
Step-by-step explanation:
a. how many of each ingredient will be needed to make 6 dozen cakes
This can be calculated as follows:
One dozen = 12
Number of small cakes in 6 dozen cakes = 6 * 12 = 72 small cakes
Number of 18 small cakes that can be obtained from 72 small cakes = 72 / 18 = 4
Therefore, we multiply each ingredient by 4 to obtain the number oof each ingredient that will be needed to make 6 dozen cakes as follows:
Number of grams of butter needed = 150 * 4 = 600g
Number of grams of sugar needed = 500 * 4 = 2,000g
Number of grams of currants needed = 100 * 4 = 400g
b. how many whole cakes could be made with 1kg of butter
Ordinary in terms of measurement, we have:
1kg = 1,000g
Since it is not indicated in the question that additional grams of other ingredients are made available, only 150g butter will be used out of the 1,000g butter made available together with already available 500g sugar and 100g currants to make just 18 cakes. This implies that no additional whole cakes will be made to add to the current 18 small cakes that is being made. Additional whole cakes would only be made when additional grants of sugar and currants are made available.
Therefore, the number whole that cakes could be made with 1kg of butter is still 18 small cakes.
What is 2020 divided by 13?
Answer:
155.384615385
Step-by-step explanation:
The county fair is a popular field trip destination. This year the senior class at High School A and the
senior class at High School B both planned trips there. The senior class at High School A rented and
filled 9 vans and 10 buses with 659 students. High School B rented and filled 8 vans and 8 buses with
536 students. Every van had the same number of students in it as did the buses.
Find the number of students in each van and in each bus.
Van 12. Bus: 52
Van: 16, Bus: 75
Van 7. Bus:41
Van: 11. Bus: 56
Answer:
35
Step-by-step explanation:
Solve the following inequality 0.5z-0.1 >0.2
Answer: z>0.6
Step-by-step explanation:
You isolate the variable by dividing each side by factors that don’t contain the variable.
The answer is verified it came from Math-way .
Answer:
z≥0.6
Step-by-step explanation:
Find n and r 10 pointssss
May u please help me ill give out the brainly
Answer:
24x+18y+10
Step-by-step explanation:
start by distributing so 6*4x and 6*3y
that give you 24x+18y+10
1. Sally decided to go early Christmas shopping at a local Wal-Mart. There was
a Black Friday sale and she bought a TV that was originally $200. The TV
was marked down 25%. How much did Sally pay after it was marked down?
(1 point)
T
Answer:
$175
Step-by-step explanation:
A Normal distribution has mean µ = 61.6. Find it’s standard deviation if 20% of the values are greater than 70. (Hint--use the z-score formula).
Answer:
The value is [tex]\sigma = 9.976[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 61.6[/tex]
Given that 20% of the values are greater than 70, the z-score to the right of the curve corresponding to 20% (0.2) of the values is
[tex]z-score = 0.842[/tex]
Generally this z-score is mathematically represented as
[tex]z-score = \frac{x - \mu }{\sigma }[/tex]
Here x = 70
So
[tex]0.842 = \frac{70 - 61.6 }{\sigma }[/tex]
=> [tex]\sigma = 9.976[/tex]
i need help yall i dont understand this
A french class has a total of 25 student.The number of males is 7 more than the number of females how many males and how many females are in the class?
Answer:
16 males and 9 females.
Step-by-step explanation:
If you subtract 7 from 25 you get 18. If you split 18 in half you get 9. Which means if you add 7 to 9 you get the number of males, which leaves you with 9 students left so the rest are females.
Answer:
16 males and 9 females
Step-by-step explanation:
To solve this we can use a system of equations.
Let's start by naming the number of females x.
The number of males would then be y.
Using these variables, we can set up 2 equations using info provided:
A french class has a total of 25 students, -> x+y=25
The number of males is 7 more than the number of females -> x+7=y
Use substitution to solve.
From the second equation:
x+7=y
Subtract 7 from both sides.
x=y-7
Substitute that into the first equation.
x+y=25
y-7+y=25
Combine like terms.
2y-7=25
Add 7 to both sides.
2y=32
Divide both sides by 2.
y=16
Substitute y=16 into equation 2.
x+7=y
x+7=16
Subtract 7 from both sides.
x=9
Therefore, there are 16 males and 9 females in the french class.
What is i2=-1 math test
Answer:
Your answer is: ↓
If your converting in Logarithmic Form then your answer is: [tex]log_{i}(-1)=2[/tex]
If you are trying to figure if that equation is determined T/F: The answer is T.
If you are trying to evaluate (expand) the question your answer is:[tex]-1=-1[/tex]
Step-by-step explanation:
Hope this helped : )
a coin is tossed 4 times, find the probability of getting 4 heads.
Answer:
1/16
Step-by-step explanation:
The probability of getting heads with 1 coin toss is 1/2.
For 4 tosses, the probability is 1/2 * 1/2 * 1/2 * 1/2 = 1/16
the square of a number equals five times that number find number.
A. 0 or 1
B. 0 or 3
C. 0 or 5
D. 0 or 7
Answer:
x²=5x
x=5... probably c
Stanley drove a race car an average speed of 120 miles per hour for 3 minutes. How far did Stanley drive the race car?
Answer:
6 miles
Step-by-step explanation:
3 minutes = 1/20 of an hour
120 miles x 1/20 of an hour = 6 minutes
BD bisects ABC.
Find mZABD, mZCBD, and m ZABC.
A
(3x + 6°
D
B (7x – 18)°C
The answer is 43 because when you multiply 6x6 you get 36 and if you add 6 more you get 42 which is one less that 43
Find n and r 10 pointsss
Answer/Step-by-step explanation:
The two triangles we have in the diagram shar the same vertex. They are both similar triangles. Therefore, their side lengths would be proportional.
This means:
[tex] \frac{9.8}{4.3} = \frac{r}{5.1} = \frac{n}{2.7} [/tex]
Solve for variable r and n respectively.
Thus:
[tex] \frac{9.8}{4.3} = \frac{r}{5.1} [/tex]
Multiply both besides by 5.1
[tex] \frac{9.8}{4.3} \times 5.1 = \frac{r}{5.1} \times 5.1 [/tex]
[tex] \frac{9.8 \times 5.1}{4.3} = r [/tex]
11.6 = r (nearest tenth)
Also,
[tex] \frac{9.8}{4.3} = \frac{n}{2.7} [/tex]
Multiply both besides by 2.7
[tex] \frac{9.8}{4.3} \times 2.7 = \frac{n}{5.1} \times 2.7 [/tex]
[tex] \frac{9.8 \times 2.7}{4.3} = r [/tex]
6.2 = n (nearest tenth)
consider the equation x-y=-1 ..calculate the value of y if x =1
Answer:
y = 2
Step-by-step explanation:
For the equation x - y = -1, if x = 1,
then we would plug that in to solve for the y value
1 - y = -1
Subtract 1 from both sides to find y
-y = - 2
Divide by -1 to find y
y = 2.
To double check our answer we would plug in our x-value and y-value into the equation
1 - 2 = -1
This is true, so our answer is y = 2
Answer:
y = 2
Step-by-step explanation:
x - y = -1
1 - y = -1
1 + 1 - y = 0
2 - y = 0
2 = y
y = 2
A will states that 5/6 of an estate is to be divided among relatives of the remaining a state 1/3 goes to the American cancer society what fraction of the estate goes to the American Cancer Society
Answer:
1/18
Step-by-step explanation:
5/6 of an estate is to be divided among relatives
Let the total estate = 1
Remaining estate = 1 - 5/6
= 6-5/6
= 1/6 of the estate
Of the remaining a state 1/3 goes to the American cancer society
what fraction of the estate goes to the American Cancer Society
= 1/3 × 1/6
= 1/18
The fraction of the estate that goes to the American Cancer Society = 1/18
FINANCE
4. Which of the following is NOT a reason why the required return on a bond may differ from its par value?
A. The required rate of return exceeds the coupon value, so the bond sells at a premium.
B. The required rate of return exceeds the coupon value, so the bond sells below par value.
C. The required rate of return is less than the coupon value, so the bond sells at a premium.
D. The required rate of return is less than the coupon value, so the bond sells below par value.
Answer:
I think the answer is B
Step-by-step explanation:
Thank you
53% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four. (Round to three decimal places as needed.)
Answer:
a
[tex]P(X = 5) = 0.2423 [/tex]
b
[tex]P( X \ge 6 )= 0.4516 [/tex]
c
[tex]P( X < 4 )= 0.12694[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.53
The sample size is n = 10
Generally the distribution of the confidence of US adults in newspapers follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that the number of U.S. adults who have very little confidence in newspapers is exactly five is mathematically represented as
[tex]P(X = 5) = ^{10}C_5 * 0.53^5 * (1- 0.53)^{10-5}[/tex]
=> [tex]P(X = 5) = 252 * 0.04182 * 0.023[/tex]
=> [tex]P(X = 5) = 0.2423 [/tex]
Generally the probability that the number of U.S. adults who have very little confidence in newspapers is at least six is mathematically represented as
[tex]P( X \ge 6 )= P( X = 6) + P( X = 7) + P( X = 8) + P( X = 9) + P( X = 10)[/tex]
=> [tex]P( X \ge 6 )= [^{10}C_6 * [0.53]^6 * (1- 0.53)^{10-6}] + [^{10}C_7 * [0.53]^7 * (1- 0.53)^{10-7}] + [^{10}C_8 * [0.53]^8 * (1- 0.53)^{10-8}] + [^{10}C_9 * [0.53]^9 * (1- 0.53)^{10-9}] + [^{10}C_{10} * [0.53]^{10} * (1- 0.53)^{10-10}][/tex]
=> [tex]P( X \ge 6 )= [0.227] + [0.1464] + [0.0619] + [0.0155] + [0.00082][/tex]
=> [tex]P( X \ge 6 )= 0.4516 [/tex]
Generally the probability that the number of U.S. adults who have very little confidence in newspapers is less than four is mathematically represented as
[tex]P( X < 4 )= P( X = 3) + P( X = 2) + P( X = 1) + P( X = 0)[/tex]
=> [tex]P( X < 4 )= [^{10}C_3 * 0.53^3 * (1- 0.53)^{10-3}] + [^{10}C_2 * 0.53^2 * (1- 0.53)^{10-2}] + [^{10}C_1 * 0.53^1 * (1- 0.53)^{10-1}] + [^{10}C_0 * 0.53^0 * (1- 0.53)^{10-0}] [/tex]
=> [tex]P( X < 4 )= 0.09051 + 0.03 + 0.0059 + 0.000526[/tex]
=> [tex]P( X < 4 )= 0.12694[/tex]
An electronics store has a clearance sale
whereby everything in store is marked down
by 20% of the original price. Jay buys a
Bluetooth speaker with an original price of
R950.00. When he gets to the till, the cashier
lets him know that the speaker is marked
down a further 8% on the reduced price.
i. How much will Jay pay for the speaker?
ii. What is the final discount percentage Jay
gets off the original price?
Answer:
i. R699. 2
ii. 26.4%
Step-by-step explanation:
Given the following data;
First discount (on original price) = 20%
Second discount (on reduced price) = 8%
Original price = R950.00
*To find how much Jay will pay*
First discount;
[tex] Discount = \frac {20}{100} * 950[/tex]
[tex] Discount = 0.2 * 950[/tex]
Discount = R190.00
Reduced price = 950 - 190
Reduced price = R760.00
Second discount;
[tex] Discount = \frac {8}{100} * 760[/tex]
[tex] Discount = 0.08 * 760[/tex]
Discount = R60.8
Selling price = 760 - 60.8
Selling price = R699.2
Therefore, Jay will pay R699.2 for the speaker.
ii. To find the final discount percentage;
[tex] Percent \; discount = \frac {original \;price - selling \; price}{original price} * 100[/tex]
Substituting into the equation, we have;
[tex] Percent \; discount = \frac {950 - 699.2}{950} * 100[/tex]
[tex] Percent \; discount = \frac {250.8}{950} * 100[/tex]
[tex] Percent \; discount = 0.264* 100[/tex]
Percent discount = 26.4%
Therefore, the final discount percentage Jay gets off the original price is 26.4%.
what should be added to 7 3/5 to get 18 (Step explanation )
Match the following Match the items in the left column to the items in the right column
1 fish to Starfish
2. total to fish
3. Starfish to total
4. Starfish to fish
Answer:
Sorry, you didn't send the picture with it. But, I have the picture that you forgot to send, here is the picture.
Step-by-step explanation:
That is the image down there! Thanks. Sorry, I can't answer though.
Ч=3x-2 Help please?
Answer:
x=2
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
Compra mercancía por 2580000 más el IVA del 19%y retefuente del 3,5% u se cancela en efecyivo
Answer:
i dont speak or type spanish
Step-by-step explanation:
Answer: Sorry, i don't speak spanish dude
Step-by-step explanation: Would you like to translate it for me?