Part of Sal's budget is shown. What percentage of his income goes toward savings?
A. 95%
B. 10.53%
C. 9.5%
D. Cannot tell from the information given

To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Step-by-step explanation:

We use a for Adult and s for Student.

Assuming this, you have to start by writing two equations from the information provided:

900 total tickets were sold    

       a+s=900                             ------(i)

they made $2,820 and  adult tickets cost $4 and kids tickets cost $2.50

      2820=4a+2.5s                    ------(ii)

lets solve for a in the first equation:

a=900-s                      

we can plug this into the second equation and solve for s

2820=4(900-s)+2.5s

2820=3600-4s+2.5s

2820=3600-1.5s

-780=-1.5s

s=520

we can plug this into the first equation and solve for a:

a+520=900

a=380

Total adult ticket sold : 380

Total student ticket sold = 520

Cost of adult tickets = 380 * 4 = $1520

Cost of student tickets = 520 * 2.5 = $1300

I hope this helps. For more you can visit :

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Answer:

Step-by-step explanation:

25.34

x 1,000

——————

253,400

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Answer:

They earn $141

Step-by-step explanation:

On the first day, the members earned 90% of their daily goal so we need to find out what 90% of 50 is.

90 × 50 ÷ 100

= 4500 ÷ 100

= $45

On the second day, the members earned 6% more than their daily goal.

6% of 50 + 50

(6 × 50 ÷ 100) + 50

= (3) + 50

= $53

On the third day, the members earned 14% less than their daily goal.

14% of 50 - 50

50 - (14 × 50 ÷ 100)

= 50 - (7)

= $57

Now we add the earings up =

$45 + $53 + $43

= $141

Answer:

  D.  1200 gallons

Step-by-step explanation:

Fractions of the total are given, as is the quantity the difference of those fractions represents. These can be used to write an equation to find the total.

Let g represent the total number of gallons of fuel sold. Then the number of gallons of 87-octane sold is 0.50g, and the number of gallons of 89-octane sold is 0.35g. The difference is said to be 180 gallons:

  0.50g -0.35g = 180

Collecting terms gives ...

  0.15g = 180

Dividing by the coefficient of g, we find ...

  g = 180/0.15 = 1200

The gas station sold 1200 gallons of fuel last weekend.

__

Additional comment

That's 600 gallons of 87-octane; 420 gallons of 89-octane; 120 gallons of 92-octane; and 60 gallons of 99-octane.

Answer:

D

Step-by-step explanation:

Answer: 243

Step-by-step explanation:

3³×3²

27×9=243

Answer:y=24(2-3)

Step-by-step explanation:

Answer:

c 13

a prime number is a number that can only be divided by itself and 1

Answer:

13 is prime

Step-by-step explanation:

It has only 2 factors: 1 and itself.

I hope it helps! :)

Answer:

480 feet per hour (hope this helps)

Answer:

Kevin jogs 3,600 feet per hour

Step-by-step explanation:

8fph = 60x60 = 3,600

variables: s is seconds , m is minute , FPH is feet per hour

think about how many seconds are in 1 minute and how many minutes are in 1 hour. They're both 60!

S x M = FPH

Answer: Add them all together to get 32 divide that by 8 and you have 4

your welcome

Answer:

The mean is 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.

Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.

The sum of the parts in the ratio is 8x + 5x + 2x = 15x.

We know that the total number of fruits is 120. Therefore, we can set up the following equation:

15x = 120

To solve for x, we divide both sides of the equation by 15:

x = 120 / 15

x = 8

Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:

Number of bananas = 2x = 2 * 8 = 16

So, there are 16 bananas in total.

We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.

Answer: Where are the questions?

Step-by-step explanation:

Answer:

Diagram A

Step-by-step explanation:

shows both 10.4 and 2.6

Answer:

Mixed number: -12 2/15

Improper fraction: -182/15

Step-by-step explanation:

2 4/5 x -5 2/3

First, change into improper fractions

14/5 x -13/3

= -182/15

= -12 2/15

Hope this helps

Answer:

Negative fifteen and thirteen- fifteens

Step-by-step explanation:

ok so one way you could have solved it is by taking 2 4/5 and turning into 14/5 by adding the 2 to the fraction to make it an improper fraction, then you would do the same thing to -5 2/3 and it would be -17/3 so then you multiply and the answer would be -15 13/15

Answer: The answer is false!

Step-by-step explanation: You may think its true but NO, its not true!

Answer: false

Step-by-step explanation:

the correct answer is a dialect of spanish, chilean spanish.

Here are the pairs matched with their products:

- (-5)(4.2) matches with -21

- (-7)(-3) matches with 21

- (2.5)(-9) matches with -22.5

Pairs (4) and (5) do not have corresponding products in the given options.

Answer:

first choice

Step-by-step explanation:

0  0 3

1    1 7 7 7 7
2    0 0 0 2 4 8 8

3    1 3

Step-by-step explanation:

To convert to a decimal divide the percentage by 100, and to convert a decimal to a percentage multiply by 100.

red;

.26*100= 26, so 26% percentage

blue;

40/100= .40, so .40 for the decimal

yellow;

.04*100=4, so 4% for the percentage

green if it is making up a value, let's use 30% as an example,

30/100=.30, so .30 for the decimal

purple;

14/100=.14, so .14 for the decimal

Hope this helps you with your math adventures!

Answer:blue would be 0.4

yellow would be 4 percent

purple would be 0.1  red would be 26%

Step-by-step explanation:

Answer:

1:5

Step-by-step explanation:

 Their is 2 red pens, because 20(pens) - 8(blue pens) = 12(pens [blue excluded]) and there are 10 black pens (12 - 10 = 2)

 So we can get an un-simplified ratio of 2:10, however in the list of answers you gave us:

1:10

1:5

4:5

5:1

 Their is no 2:10, so now we need to simplify our ratio by dividing both 2 and 10 by 2, 2 divided by 2 = 1 and 10 divided by 2 = 5. As we can now see this gives us the ratio of 1:5 which is our second answer choice, and therefore since 1:5 is equal to 2:10 our answer is 1:5

Answer:

A.  26.10 cm

B. 118.95 cm

Step-by-step explanation:

ST = 41^2 - 40^2 =  c^2  = hypotenuse

ST = 1681 - 1600 = c^2

ST = c^2 = sq rt 681 =26.0959767014 = 26.1cm

Nearest 100th = 26.10

Length = 26.10 cm to nearest 100th

Perimeter of RSU we find (M) of SU first then add that to the other 3 lengths on the exterior of the triangle.

SU = 10^2 + 26.1^2 = c^2 = hypotenuse

SU = 100 + 681.21 = c^2

SU = c^2 = sqrt 781.21 = 27.9501341678 = 27.95cm

P TOTAL RSU  = SU + TR + RS + TU

= 27.95 + 40+ 41 + 10 = 118.95cm

Answer:

29 miles per gallon

Step-by-step explanation:

Take the miles and divide by the gallons

435/15

29 miles per gallon

Answer:

8,888.888

Step-by-step explanation:

Answer:

5Hope it helps!

Step-by-step explanation:

153805 is divisible by 5