Bill Murray has 16 3/4 days of vacation per year. To date, he has taken 1 3/4 days in January, 4 2/3 days in February, and 2 1/6 days in March. How much more vacation time is Bill entitled to?

Answer:

$19.8($2.7 subtracted off)

Step-by-step explanation:

[tex]P = 22.5(1 - 12\%)\\P = 22.5(1 - 0.12)\\P = 22.5(0.88)\\P = 19.8[/tex]

Let the Principle be 100.

P = 100, then A = 200 and SI will be 200 - 100 = 100

YES = 100 in 10 years

Rate = 100/10 = 10%.

∴ The interest rate is 10%.

Given:

Time period = 10 years

Formula used:

SI = (P × R × T)/100

A = P + SI

Where P = main amount, R = rate, T = time, SI = primary interest

Calculations:

Monetary amount 2P

YES = 2P - P

⇒ P = (P × R × 10)/100

⇒ 1 = R/10

⇒ R = 10%

∴ The interest rate is 10%

Answer:

Step-by-step explanation:

So we are not counting each line segment forming a cube. We are actually counting the four sides of the overall shape, and the number of segments inside it.

It will increase by 2 each time.

So if we start at 4(the four outside lines), go to 6(adding 2 on the inside), then to 8(adding 2 more on the inside), we continue this 100 times, correct?

So our equation would be

(x times 2) +4  (if we start at the SECOND term and count that as the first )

so, to figure out the answer to out problem, we insert 100 for x

(100 x 2)+4 = 204

This would leave us with one big square (4 outside line segments) With 100 segments going horizontal, and 100 vertical)

Hope this helps! ^^

Answer:

x < 12

Step-by-step explanation:

So 8 times the sum of a number and 26 is less than 304. To find the number, lets write a equation where the "number" is x.
8 times the sum of a number and 26 can be written as 8 * x+26, however since the sum of x and 26 are being multiplied, we write this as 8(x+26). Since 8 times the sum of a number and 26 is less than 304, we set 8(x+26) to < 304. This gives us our equation:

8(x+26) < 304

Lets start to solve for x by dividing by 8, giving us:

x+26 < 38

Now lets isolate x by subtracting 26 from both sides, which gives us our answer:

x < 12

So x is less than 12.

Hope this helps!

Answer: 162 million

Step-by-step explanation:

147.4 million= 147,400,00

Make a proportion:

147,400,000   -  91%

          x             - 100%

Hence,

[tex]\displaystyle\\x=\frac{147,400,000*100}{91} \\\\x=\frac{14,740,000,000}{91} \\\\x\approx162,000,000\\\\x=162 \ million[/tex]

Answer:

Step-by-step explanation:

1) Draw 5 and x on the number line. Draw a number line detailing x on the number line and moving to the left and it lands on 5

Answer:

Yes, they are equivalent, because one is just a reduced version of the other. Since they are equally balanced when reduced, they are equivalent ratios.

Answer:

Yes, It is equivalent.

Step-by-step explanation:

To convert [tex]\frac{10}{16}[/tex] , so the denominator is 16, multiply the numerator and denominator by 1.

[tex]\frac{5*2}{8*2}[/tex] vs [tex]\frac{10*1}{16*1}[/tex]

Now we have two fractions with the same denominator, so we can easily compare the numerators to determine if they are equal;

[tex]\frac{10}{16}[/tex] vs [tex]\frac{10}{16}[/tex]

As you can see, the numerators colored in black above are the same. Therefore, the answer to "Is 5/8 equal to 10/16?" is yes!

[tex]\frac{5}{8} = \frac{10}{16}[/tex]

Area of triangle ΔCDE  with the vertices C( -4 , 2 ), D( -3 , 7 ), and E( -7 , 6 ) is 9.5 square units.

We have a triangle ΔCDE with the vertices C( -4 , 2 ), D( -3 , 7 ), and E( -7 , 6 ). To calculate the area of triangle when its vertices are given we have the formula as shown below,

Area of triangle ΔCDE = [tex](1/2)(x_{1} (y_{2} - y_{3} ) + x_{2} (y_{3} -y_{1} ) + x_{3} (y_{1} -y_{2} ))[/tex]

Here, [tex]x_{1}[/tex] = -4 , [tex]x_{2}[/tex] = -3 ,[tex]x_{3}[/tex] = -7 , [tex]y_{1}[/tex] = 2 , [tex]y_{2}[/tex] = 7 and [tex]y_{3}[/tex] = 6

On substituting the above values in the formula of area of triangle , we will get

Area of triangle ΔCDE = (1/2)( -4 ( 7 - 6 ) + ( -3 ) ( 6 - 2) + (-7 ) ( 2 - 7 ))

Area of triangle ΔCDE = (1/2) ( - 4 - 12 + 35 )

Area of triangle ΔCDE = 19/2

Area of triangle ΔCDE = 9.5 square units

Area of triangle ΔCDE  with the vertices C( -4 , 2 ), D( -3 , 7 ), and E( -7 , 6 ) is 9.5 square units.

To know more about Area of Triangle refer to the link:

https://brainly.com/question/23945265

#SPJ9

The number of men T Shirts and how many women t shirts that were given to the nearest thousand will be 30000 and 17000 respectively.

It should be noted that based on the information illustrated, the marathon had 29967 men and 16,928 Women.

Therefore, the number of men T Shirts and how many women t shirts that were given to the nearest thousand will be:

29867 = 30000

16982 = 17000

Therefore, the number of men T Shirts and how many women t shirts that were given to the nearest thousand will be 30000 and 17000 respectively.

Learn more about numbers on:

brainly.com/question/24644930

#SPJ1

In 2011 the marathon had 29967 men and 16,928 Women how many Men T Shirts and how many women t shirts were given to the nearest thousand.

The total cost to the nearest cent is $194.25

The TV costs of $185

The markup is 5%

The total cost can be calculated as follows

185 + (185 × 5/100)

= 185 + (185 × 0.05)

= 185 + 9.25

= 194.25

Hence the total cost to the nearest cent is $194.25

Read more on total cost here

https://brainly.com/question/3623246?referrer=searchResults

#SPJ1

According to the image  the x-axis, there is a reflection (- 4, 2 ).

An image that has been flipped has no points that are closer to the mirror line than the original shape. The point's coordinate must be multiplied by -1 in order to reflect it over the axis. Simply add -1 to the coordinate of the point to reflect it over the axis.

Analytic geometry, often known as coordinate geometry, is the study of geometry using coordinate points. It is possible to determine distances between points using coordinate geometry, as well as divide lines into m:n segments, locate a line's midpoint, determine the area of a triangle in the Cartesian plane, and perform other operations.

Under the x-axis reflection.

A point (x, y) → (x, -y), so

(- 4, - 2 ) → (- 4, 2 )

To know more about reflection of a coordinate visit:

https://brainly.com/question/24215981

#SPJ9

Answer:

there are 2 multiples of 4 like 12 and 16

Step-by-step explanation:

The multiples of 4 are - 4,8,12,16,20,24

Answer: 141.26666666667

Step-by-step explanation:

Answer:

12.00

Step-by-step explanation:

you need to get the division down first then it will become super easy once you have that

Answewhats the number mason

Step-by-step explanation:

hundred people bearajsbsj

Answer:

I don't know about this question

Place-value blocks can be used to find the difference between the monthly cost of using the DVD player, $0.40, and the dishwasher, $0.85 by converting them to the nearest ten. The difference will be $0.50.

It should be noted that base ten blocks are used to represent numbers as a base ten model. It should be noted that they are useful because they show the value of each digit in a number and make it easier to visualize the size of a number.

In this case place value blocks mimic the base ten number system by representing the ones, tens, hundreds, and thousands places

Therefore, place-value blocks can be used to find the difference between the monthly cost of using the DVD player, $0.40, and the dishwasher, $0.85 by converting them to the nearest ten. The difference will be $0.50.

Learn more about place value on:

https://brainly.com/question/1654524

#SPJ1

The speed of the commuter train in kilometre per hour is 30.59 kilometres per hour

The given parameters are

Distance = 26 kilometres

Time = 51 minutes

Convert the number of minutes to hour

So, we have

Time = 51/60 hour

The speed of the commuter train in kilometre per hour is calculated as

Speed = Distance/Time

So, we have

Speed = 26 kilometres/(51/60 hour)

Evaluate the quotient

Speed = 30.59 kilometres per hour

Hence, the speed of the commuter train in kilometre per hour is 30.59 kilometres per hour

Read more about speed at

https://brainly.com/question/6504879

#SPJ1

In the experiment, the solubility of B is high than the solubility of A.

This is because the mass of undissolved substance of substance A is more than Substance B at every temperature.

The amount of a substance that dissolves in a specific amount of solvent is known as its solubility. Higher solubility results from more solute dissolution, while lower solubility results from less solute dissolution.

Regarding the observations made, at any temperature, the mass of the undissolved material of substance A is greater than that of substance B. This suggests that less solute dissolves in the amount of solvent provided.

Therefore, because of this, substance B is more soluble than substance A.

Learn more about experiments on:

https://brainly.com/question/11963573

#SPJ1

Using sampling concepts, it is found that:

a) The population of interest is all bank institutions in the region that are Implementing mobile app relationship management solution.

b) The sample is given by the 155 executives representing bank institutions.

c) The possible parameter of interest is the proportion of bank institutions in the region that cite mobile app banking enhancements as the greatest anticipated strategy.

d) The statistic used to estimate the parameter is: 36% of executives representing bank institutions in the study cite mobile app banking enhancements as the greatest anticipated strategy.

Hence, for this problem:

a) The population of interest is all bank institutions in the region that are Implementing mobile app relationship management solution.

b) The sample is given by the 155 executives representing bank institutions.

Hence:

c) The possible parameter of interest is the proportion of bank institutions in the region that cite mobile app banking enhancements as the greatest anticipated strategy.

From the sample, the percentage is of 36%, hence:

d) The statistic used to estimate the parameter is: 36% of executives representing bank institutions in the study cite mobile app banking enhancements as the greatest anticipated strategy.

More can be learned about sampling concepts at https://brainly.com/question/25122507

#SPJ1

The distance traveled by the ball as a function of time, s(t) = 16•t² ft., and the rate of change, based on calculus, gives;

(a) During the time interval [6, 6.5], the distance traveled is 100 feet

(b) In the interval, [6, 6.5], the average velocity is 200 ft/s

(c) The calculated average velocities in ft/s, for the respective time intervals are;

[6, 6.01]. 192.16

[6, 6.001]. 192.016

[6, 6.0001]. 192.0016

[5.9999, 6]. 191.9984

[5.999, 6]. 191.984

[5.99, 6]. 191.84

The instantaneous velocity at t = 6 is v(6) = 192 ft/s

The distance traveled as a function of time is s(t) = 16•t² ft.

(a) The distance traveled during the time interval [6, 6.5] is found as follows;

s(6) = 16 × 6² = 576

s(6.5) = 16 × 6.5² = 676

The distance traveled in the interval, [6, 6.5], ∆s(t) = 676 - 576 = 100

The distance traveled during the time interval [6, 6.5] = 100 feet

(b) Average velocity = ∆s(t)/∆t

∆t = 6.5 - 6 = 0.5

Therefore;

∆s(t)/∆t = 100/0.5 = 200

The average velocity = 200 ft./s

(c) The average velocities over the given time intervals, obtained using a graphing calculator, are;

Interval. Average velocity

[6, 6.01]. 192.16

[6, 6.001]. 192.016

[6, 6.0001]. 192.0016

[5.9999, 6]. 191.9984

[5.999, 6]. 191.984

[5.99, 6]. 191.84

Given that at t = 6, as the time interval approaches zero from the right and from the left, the average velocity approaches 192 ft./s, the instantaneous velocity at t = 6, v(6) is 192 ft./s

v(6) = 192 ft./s

Using calculus, differentiation, we have;

v(t) = ds/dt = 2×16 × t = 32•t

v(6) = 32 × 6 = 192

Therefore;

v(6) = 192 ft./s

Learn more about calculus, differentiation here:

https://brainly.com/question/954654

#SPJ1

Answer:

36

Step-by-step explanation:

BECAUSE U MULTIPLY THEN DIVIDE

Answer:

radius = 3.385 inches

Step-by-step explanation:

[tex]a=\pi r^{2}[/tex]

[tex]r^{2} =\frac{a}{\pi }[/tex]

[tex]r=\sqrt{\frac{a}{\pi } } =\sqrt{\frac{36}{\pi } } =3.385[/tex]

Hope this helps

Answer:

3

[tex]3 \sqrt{3} [/tex]

Step-by-step explanation:

Remember to complete the prime factorization for 27. 27 = 9x3 = 3x3x3. The

[tex] \sqrt{3} \times \sqrt{3} \times \sqrt{3} [/tex]

is

[tex]3 \sqrt{3} [/tex]

Answer:

The answer is 11500000 Square Meters

Answer:

11,500,000

Step-by-step explanation:

To convert 1150 hectares to square meters, we need to multiply it by 10,000. Therefore, 1150 hectares is equal to 11,500,000 square meters. It is important to note that one hectare is equal to 10,000 square meters. So, 1150 hectares is equivalent to 11,500,000 square meters or 11,500,000 square meters. This conversion is useful when measuring large areas of land, such as agricultural fields, forests, and parks.

The coordinates of the point 7/10 of the way from A to B is (2.4, 4.2)

On the coordinate plane, we have the following coordinates

A = (-3, -8)

B = (11, 6)

The point 7/10 can be represented using the following ratio

m : n = 7 : 3

The coordinates of the point 7/10 of the way from A to B is calculated as

Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)

This gives

Point = 1/(7 + 3) * (3 * 11 + 3 * -3, 11 * 6 + 3 * -8)

Evaluate

Point = 1/10 * (24, 42)

This gives

Point = (2.4, 4.2)

Hence, the coordinates of the point 7/10 of the way from A to B is (2.4, 4.2)

Read more about line segments at:

https://brainly.com/question/17374569

#SPJ1

Answer:

you would need 40 quarters and 11 nickels

PLEASE MARK AS BRAINLIEST

Step-by-step explanation:

.25x40=$10

.10x11=$1.10

$10+$1.10=$11.10

Answer:

your answr would be a 13

Step-by-step explanation:

Answer:

A) 13

Step-by-step explanation:

[tex]-5 + |-18|\\where\:|-a|=|a|\:\:\mathrm{if}\:a\neq 0\\|-18| = |18|\\= -5 + 18\\Inverse\:\:the\:\:expression\\= 18 - 5\\= 13[/tex]

By using the given translation rule, the translation of NFQ is equal to: A. N'(0, -2), F'(4, 2), Q'(4, -2).

In Mathematics, there are different types of transformation and these include the following:

A translation can be defined as a type of transformation which moves every point of the object in the same direction, as well as for the same distance.

By using the given translation rule: (x, y) → (x + 1, y - 1), we have:

N(-1, -1) → N'(-1 + 1, -1 - 1) = N'(0, -2).

F(3, 3) → F'(3 + 1, 3 - 1) = F'(4, 2).

Q(3, -1) → Q'(3 + 1, -1 - 1) = Q'(4, -2).

Therefore, the translation of NFQ is equal to N'(0, -2), F'(4, 2), Q'(4, -2).

Read more on translation here: https://brainly.com/question/12861087

#SPJ1

Answer:

what should we find the value of y and x or what