Two brothers, Steven and Michael, each inherit $35000. Steven invests his inheritance in a savings account with an annual return of 1.8%, while Michael invests his inheritance in a CD paying 6% annually. How much more money than Steven does Michael have after 1 year?

Answer:

24a -12b + 15

Step-by-step explanation:

Answer:

=24a - 12b + 15

Step-by-step explanation:

3(8a-4b+5)

Apply the distributive law:  m(a+b+c) = ma + mb + mc

3 (8a - 4b + 5 ) = 3 · 8a + 3( -4b)+ 3 · 5

= 3 · 8a + 3( - 4b) + 3 · 5

Simplify 3 · 8a + 3( -4b) + 3 · 5 :   24a - 12b + 15

= 24a - 12b + 15

Answer:

x = 218.7

Step-by-step explanation:

To solve for x, we multiply .30 by 729. Once multiplied, we get the answer 218.7. Therefore, x = .30(729) is the same as x = 218.7.

Anton would earn $111.6 if "x" is 128 bushels.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that Anton picks corn at a local farm.

Anton is paid 80 cents per bushel for the first 50 bushels, 90 cents per bushel for the next 50 bushels, and 95 cents per bushel for all bushels picked over 100.

Thus, First 50 bushels: 0.80 x 50 = 40

Next 50 bushels: 0.90 x 50 = 45

Remaining bushels: 0.95 x 28 = 26.6

Total = $40 + $45 + $26.6 = $111.6

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Answer:

4/7

Step-by-step explanation:

6/7 of 2/3

= 6/7 * 2/3

= 12/21

= 4/7

Answer:

A) [tex]y = \frac{1}{10}x + 28[/tex]

B) $116.5

Step-by-step explanation:

The data we are given is:

• for 440 minutes of usage, the total cost is $72

• for 940 minutes of usage, the total cost is $122

A)

In order to find an equation in the form [tex]y = mx + b[/tex], we must first express the given data as coordinates in the form [tex](x, y)[/tex].

We are told that [tex]x[/tex] is the number of monthly minutes, and [tex]y[/tex] is the total monthly fee. Therefore the first piece of data expressed as coordinates is (440, 72), and for the second piece of data, it is (940, 122).

Now that we have the coordinates, we can make an equation using the formula:

[tex]\boxed{\frac{y - y_1}{y_2 - y_1}= \frac{x - x_1}{x_2 - x_1}}[/tex],

where [tex](x_1, y_1)[/tex] is (440, 72) and [tex](x_2, y_2)[/tex] is (940, 122).

Substituting the values into the formula, we get:

[tex]\frac{y - 72}{122 - 72}= \frac{x - 440}{940 - 440}[/tex]

⇒ [tex]\frac{y - 72}{50} = \frac{x - 440}{500}[/tex]

⇒ [tex]50 \times \frac{y - 72}{50} =50 \times \frac{x - 440}{500}[/tex]       [Multiplying both sides of the equation by 50]

⇒ [tex]y - 72 = \frac{x - 440}{10}[/tex]

⇒ [tex]10y - 720 = x - 440[/tex]    [Multiplying both sides by 10]

⇒ [tex]10y = x +280[/tex]            [Adding 720 to both sides]

⇒ [tex]y = \frac{1}{10}x + 28[/tex]    (Answer)

B)

To find the total cost if 885 minutes are used, we have to replace [tex]x[/tex] in the above equation with 885:

[tex]y = \frac{1}{10}(885) + 28[/tex]

⇒ [tex]y = 88.5 + 28[/tex]

⇒ [tex]y = 116.5[/tex]    

Therefore, the total cost will be $116.5.   (Answer)

Answer:

5y + 5 = 80

Step-by-step explanation:

5y + 5 +6y + 10 = 180  A straight angel is 180  Combine like terms

11y +15 = 180  Subtract 15 from both sides

11y = 165  Divide both sides by 11

y = 15  Substitute 15 in for y

5y + 5

5(15) + 5 = 80

Answer:

80 THIS TOOK ME SO LONG LOL

Step-by-step explanation:

Add all like terms together:

11y+15=180

And then subtract 15:

11y=165

Then Divide by 11:

y=15

Then you input the Y and solve:

5(15)+5

75+5

80

The value of m from the given equation is -5. Therefore, option A is the correct answer.

The given equation is 3(2m+1)-3m=-12.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

A general rule for equation solving:

The given equation can be solved as follows:

6m+3-3m=-12

⇒ 3m+3=-12 (Subtract the like terms)

⇒ 3m=-12-3 (Transpose 3 to other side of the equation)

⇒ 3m=-15

⇒ m=-15/3 (Transpose 3 to other side of the equation)

⇒ m=-5

The value of m from the given equation is -5. Therefore, option A is the correct answer.

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Answer:

m=-5

Step-by-step explanation:

Answer:

answer is T 25............

Note the in such type of questions the term 'probability' and 'proportion' can be used in place of each other. It is because the probability gives the proportion of favorable outcomes to the total outcomes.

Let X be the random variable representing the number of data points greater than or equal to 22.

Given that the mean and standard deviation is 18.5 and 3.25, respectively.

Consider the formula for z-score as,

So the probability is calculated as,

From the Standard Normal Distribution Table,

Substitute this value,

Thus, there is 0.1401 or 14.01% probability that a data will be greater than or equal to 22.

So, the 14.01% of the data is expected to be 22 or greater.

The sign of 3.456+(-3.456) is neither positive nor negative—the sum is zero.

We are asked to find the sign of 3.456+(-3.456)

This expression can be simply written as 3.456 - 3.456 because of the identity we have, x+(-y) = x-y

Now if same quantities are subtracted, we get zero only.

Also zero is neither positive nor negative.

Hence there is no sign for 3.456+(-3.456).

Also 3.456+(-3.456) = 0.

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According to the commutative property of addition, you can rearrange the addends without altering the result.

2 + (-3) +(-15) = (-3) +(-15) +2

To learn more about :  Commutative

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The value of x is 4.8cm.

Here BD // EF and BF // DE

So from this, we have ∠ABF = ∠EFC

Let's take two triangles ΔABC and ΔFCE

∠C =∠C (common angle)

∠ABC = ∠EFC

So ΔABC ≅ ΔEFC

So ∠BAC = ∠FEC

AB/ EF = BC/ FC

AB = 8cm, EF =x, BC = 12cm, FC= 12-x

8/x = 12/ 12-x

2/x = 3/ 12-x

24 - 2x = 3x

5x = 24

x = 4.8cm

Therefore the value of x is 4.8cm.

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Coplanar lines are referred to as parallel lines because they may be extended indefinitely without ever intersecting. || is the sign meaning "parallel to." If two lines are drawn, they don't have to be parallel, and a third line runs across them as seen in the diagram below. We may obtain eight distinct angles by drawing two parallel lines, and then drawing a transverse line through them.

Four pairs of matching angles will be created from all eight angles. One of the pairings is represented by angles F and B in the preceding diagram. If the two lines are parallel, corresponding angles are congruent.

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Answer:

7-t

Step-by-step explanation:

t+4+3-2t

= t+7-2t

= -t+7 or 7-t

Answer:

B

Step-by-step explanation:

6x5=30

30x2/3=20

Answer: y = (5x/4) + 2

Step-by-step explanation:

Answer:

y = 5/4x + 2

Step-by-step explanation:

First, we convert 4x + 5y = 15 to slope intercept form (y=mx+b):

5y = -4x + 15

Divide both sides by five

y = -4/5 (x) + 3

The slope is -4/5

A perpendicular slope is the negative reciprocal of the other line. To find the negative reciprocal, you switch the numerator and denominator and switch the sign.

Slope = 5/4

Plug the slope and (-4, -3) into the slope-intercept form:

-3 = ( 5/4 · -4 ) + b

Isolate b (the y-intercept):

-3 = -5 + b

b = 2

y = 5/4x + 2

From the given statement based on different conditions following are true :

Statement 2, 3, 4 are true

As given in the question,

1. Lisa has 1 4/12 cups of grapes = 16 /12 cups

  Dawn has 1 11/12 cups of grapes = 23 /12 cups

Together they have = (16/12) + (23/12)

                              = (39 /12) cups of grapes

Given statement of 2 1/2 cups of grapes is false.

2. Rachel has 1 7/15 cups of chocolate chips = 22/15

Maya has 8/15 cups of chocolate chips

Rachel has more cups of chocolate chips than Maya

Difference = (22/15) - (8/15)

                 = 14 /15

3. George has 2 5/10 cups of milk = 25 /10

Raymond  has 1 1/10 cups of milk =11 /10

George has more cups of milk than Raymond

Difference = (25 /10) - (11/10)

                = 14/10

                 = 1.4 cups of milk

                 ≈ 1 cup of milk (approximately)

Statement is true.

4. Gavin has 1 13/14 buckets of water = 27 /14

    Devin has  1 3/14 buckets of water = 17 /14

  Together they have = (27/14) +(17/14)  

                =44/14

                 = 3.14

                 ≈ 3(approximately) buckets of water

Statement is true.

Therefore, from the given statement based on different conditions following are true :

Statement 2, 3, 4 are true .

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If about 5% of americans have blue eyes, the probability of 3 people selected at random having blue eyes is 1/8000.

About 5% of americans have blue eyes

The probability of a person having blue eyes = 5% = 5/100

Eyes colour of a person is an indepedent event, which means the eye colour of one individual is independent of the other. The probability of one individual having blue eyes or not is independent of another person.

In case of independent event the probability of A intersection B = probability of A multiplied with probability of B

P(A∩B) = P(A) x P(B)

P(A∩B∩C) = P(A) x P(B) x P(C)

The probability that all 3 have blue eyes = 5/100 x 5/100 x 5/100

= 125/1000000

= 1/8000

Therefore, if about 5% of americans have blue eyes, the probability of 3 people selected at random having blue eyes is 1/8000.

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The way we can write the expression (a - b)⁵ without simplifying is by using Pascals' Triangle to get; a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵

Pascal’s Triangle is a method that is used to know the binomial coefficients of terms of binomial expression (x + y)ⁿ, where n can be any positive integer and x,y are real numbers.

For the expression (x + y)⁵, the coefficients are;

1, 5, 10, 10, 5, 1

According to the binomial expansion, the power of m will be decreasing while the power of 5 will be increasing as shown below. Thus;

(a - b)⁵ = (a + (-b))⁵ = a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵

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Answer:

X=1

Step-by-step explanation:

9x -4 = 2x+3 :

9x-4=2x+3

9x -4 + 4= 2x + 3+4

Simplify

subtract 2x from both sides

Simplify

Divide both sides by the same factor

simplify

X=1

The filed has a perimeter value of 720000 decimeters

From the question, the area of the field is given as

Area = 3.24 hectares

Also, we have the shape of the field to be square

So, we start by calculating the side length of the field using

Length = √Area

Substitute the known values in the above equation

Length= √3.24 hectares

Length= √3.24 * 10000 square meters

Evaluate the square root

Length= 18000 meters

The perimeter is calculated as

P = 4 * Length

So, we have

P = 4 * 18000 meters

Evaluate

P = 72000 meters

Convert

P = 720000 decimeters

Hence, the perimeter is 720000 decimeters

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Answer:

Answer:

9 [tex]\frac{3}{4}[/tex]

13[tex]\frac{2}{3}[/tex]

3[tex]\frac{4}{6}[/tex] or 3 [tex]\frac{2}{3}[/tex] simplified

Step-by-step explanation:

For the fraction part, could how many total spaces between the numbers then count how many spaced over to the pointer.

For #16, there are 4 spaced between 9 and 10.  The pointer is pointing to 3 spaces from 9 so the fraction is 3/4.

For #18, there are 6 spaces and the pointer is at the 4th space.  You can see that if you counted every 2 spaces as I unit, you would have a total of 3 spaces and the pointer is over 2 of those three spaces.  That would get your simplified answer of 2/3.

From the linear model we can see that the height of the balloon after 15 seconds is 0 feet.

Depending on the context, the phrase "linear model" is used differently in statistics.

From the linear model we can see that the water balloon is thrown from a height of 40 feet upwards.

Now the balloon reaches a height of 70 feet and then falls back down on earth due to gravity.

At about 10 seconds the balloon falls on the ground and splashes.

Hence for further time the balloon is always at the ground.

Therefore at time of 15 seconds the height of the balloon is always 0 feet as represented in the linear model.

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Answer:

8a)

D: [tex]1\leq x\leq 3[/tex].

R: [tex]0\leq y\leq 4[/tex]

8b)

D: [tex]x\geq 0[/tex]

R: [tex]y\geq 1[/tex]

Step-by-step explanation:

8a) The domain is the set of all possible numbers the x values could be. If there is no corresponding y value for an x value, that x value would not be considered part of the domain.

In the question, the function starts at x = 1 and continues until 3. The ends of the function are closed, so it is inclusive. This can be written as [tex]1\leq x\leq 3[/tex].

The range is all the possible y values. The function does not go below y = 0 and has a maximum of 4. The ends of the function are closed, so it is inclusive. This can be written as [tex]0\leq y\leq 4[/tex]

8b) We can do the same for this problem. The x has a minimum at 0 and continues to go on without an upper bound(as indicated by the arrow), is also includes the point where x=0. Therefore, the domain can be written as [tex]x\geq 0[/tex].

As for the range, the y minimum is 1 and the function continues to increase as shown by the upwards slope and arrow. The function also includes the point where y=1, so it can written as [tex]y\geq 1[/tex]

The volume should be 7168 yards

The area for the floor should be 14,336 yards

Warehouse details:

64 yds long

28 yds wide

8 yds high

---------------------------------------------------------------------------------------

What is the area of the warehouse​ floor?

the base of the warehouse is 64*28

which is 1792 yds squared

1792 yards squared

If the warehouse is filled to half its height with tightly packed​ boxes, what is the volume of the​ boxes?

half the height of the warehouse is 8/2=

4 yards

the volue of half the warehouse is

1792 * 4 = 7168 yds squared

I'm not quite sure how they want me to answer this but this is all that I got

(this part below can't be trusted)

either the boxes can be 1x1x1 which means 7168 boxes will fit

either the boxes can be 2x2x2 which means 896 boxes will fit

either the boxes can be 3x3x3 which means 265.481481 boxes will fit, which is definetly not it because they said "filled...tightly packed boxes".

plus, we don't know if the boxes are square or rectangle so I'm not sure

Answer:

Check-mark the ones with the number 7

Step-by-step explanation:

In the drink , there are 58.5 milligrams of vitamin  .

In the question ,

it is given that

the recommended daily allowance for a certain vitamin is = 45 mg

we have to find the quantity of the vitamin in  the drink ,

also given that the amount of vitamin that the new drink has is = 130% of RDA ,

on substituting the value of recommended daily allowance ,

we get

amount of vitamin in the drink is = 130% × 45

= 1.3 × 45        ... because 130% = 1.3

= 58.5 mg

Therefore , the drink has 58.5 milligrams of the vitamin .

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Answer:

slope is 3

Step-by-step explanation:

8-5/-2-(-3)=3/1=3 3 is the slope