Two brothers Steven and Walter each inherit 41000. Steven invests his inheritance in a savings account with an annual return of 2.7% while Walter invests his inheritance in a cd paying 6.4% annually. How much more money than Steven does Walter have after 1 year

Answer:

The nearest that Mars has ever been to the Earth is 56 million km or about 34.8 million miles. On the opposite end of the scale, Mars and Earth can be a whopping 401 million km (249 million miles) apart when they are in opposition and both are at aphelion. The average distance between the two is 225 million km (140 million miles).

Step-by-step explanation:

Answer: 81.398 million miles

Step-by-step explanation: Hope that helped you.

Answer:

69

Step-by-step explanation:

Perimeter = sum of all sides of a regular polygon = the number of sides*length of a side

Length of a side of the given regular hexagon = 3x + 5

Perimeter of hexagon = 6(3x + 5) = 6(3x) + 6(5) = 18x + 30

Length of a side of the given regular pentagon = 4x - 1

Perimeter of pentagon = 5(4x - 1) = 5(4x) - 5(1) = 20x - 5

Since we are told that the perimeter of the regular hexagon is the same as that of the regular pentagon, therefore:

18x + 30 = 20x - 5

Solve for x.

Subtract 20x from both sides

18x + 30 - 20x = 20x - 5 - 20x

-2x + 30 = -5

Subtract 30 from both sides

-2x+ 30 - 30 = -5 - 30

-2x = -35

Divide both sides by -2

x = -35/-2

x = 17.5

Length of a side of pentagon = 4x - 1

Plug in the value of x

4(17.5) - 1 = 70 - 1 = 69

length of a side of the pentagon = 69

Answer:

Shawna needs a mix of 4 cups of yoghurt and 6 cups of blueberries

Step-by-step explanation:

Here, we want to know the number of cups of yoghurt and smoothies Shawna needs to make;

We have 2 parts yoghurt and 3 parts blueberry, so we can say we have a ratio of 2:3

The total number of cups to be made is 10

So the number of cups of yoghurt will be;

2/(2+3) * 10

= 2/5 * 10 = 4 cups

The number of cups of blueberry would be;

3/5 * 10 = 6 cups

So a mix of 4 cups of yoghurt and 6 cups of blueberries is needed by Shawna

Answer:

3. z = 0

I could only find the answer for number 3. I'm sorry! I hope this helps anyway!

Answer:

It might be very wrong

3. 6z + 12 = 30z + 12

0 = 24z

z = 0

4. 3x +3 +1 +2x = 4x +4+ x

4 +5x = 5x +4

0 = 0

5. - 2b = - 2b +4+3-3

0 = 4

Answer:

B. 0

Step-by-step explanation:

=>d+(-d)

=>d-d

=>0

Answer:

The answer is B. 0

Step-by-step explanation:

If the problem is d + (-d), then the answer is 0. Suppose that d = 7. Then it would be 7 + (-7), which is 0. You can't get any other number from that equation unless you do d + d or d - d.

Hope this helps.

* pleasegive me brainliest, i only need four more *

Answer:

24

Step-by-step explanation:

40-16=24   ( brainlist? ) and your welcome!

Answer:  -12

Step-by-step explanation:

Input -2 into the function for where you see x and solve to find out what h(-2) is

h(-2) = -4(-2)^2 + 3(-2) +10  

h(-2) = -4(4) -6 + 10

h(-2) = -16 -6 +10

h(-2) = -22 + 10

h(-2) = -12

Answer:

4. Converse of Corresponding Angles Postulate

Step-by-step explanation:

There are several theorems to prove line relationships in plane geometry.

The proof of parallel lines is done by

To prove that lines are parallel, we make use of the concept of line transversal.

The vertical angle theorem is based on two lines intersecting at a point

The alternate interior angle theorem is used to determine the congruence of angles in a transversal of parallel lines

The converse of corresponding angles postulate, and the converse of same-side interior angles theorem are used to determine if lines are parallel based on the angles on the transversal.

Hence, the true options are (3) and (4)

Read more about parallel lines at:

https://brainly.com/question/2973276

Answer:

5

Step-by-step explanation:

Let :

x(1) be 2

y(1) be 5

x(2) be -2

y(2) be 2

We know that distance between any 2 points is equal to:-

[tex] \sqrt{{(x(2) - x(1) )}^{2} + ({y(2) - y(1))}^{2} } [/tex]

So using the above formula ,

[tex] \sqrt{ {( - 2 - 2)}^{2} + {(2 - 5)}^{2} } [/tex]

[tex] = > \sqrt{ {( - 4)}^{2} + {( - 3)}^{2} } [/tex]

[tex] = > \sqrt{16 + 9} [/tex]

[tex] = > \sqrt{25} = 5[/tex]

Answer:

Hope u liked it..............

Answer:

12.5%

Step-by-step explanation:

Step 1:

We need to find out the percentage of picking a marble that is red. In total, there are 10 marbles, and there are 5 red. To find the probability of picking a red marble, you need to do:

# of red / total marbles.

There are 5 red marbles and 10 total marbles, so the probability of getting a red marble is 5/10, and you can simplify it to 1/2 (5/10 * 5/5).

Step 2:

Now we can start finding the probability of finding the probability of choosing three red marbles in a row. Since we need to find the probability of choosing red marbles three times, you can multiply 1/2 by itself 3 times (1/2 * 1/2 * 1/2).

1/2 * 1/2 * 1/2 = 1/8

Step 3:

Now we need to convert the fraction into a percentage. You can find the percentage by dividing 1 by 8. You should get 0.125, and you can multiply 0.125 by 100, and your final answer should be 12.5%.

Answer:

$0.05/lb

Step-by-step explanation:

What Owen paid, per pound:  ($8.75) / (7 lb) = $1.25/lb

What Olive paid, per pound:  ($12) / (10 lb) = $1.20/lb

Olive's unit rate was $0.05/lb lower than Owen's.

Answer:

(x - 8)(x + 4)

Step-by-step explanation:

We need to find something that multiplies to 32 and adds up to 4.

The 2 special numbers would be -8 and 4.

-8(4) = -32

-8 + 4 = -4

We then simply write out the factored form:

(x - 8)(x + 4)

Answer:  (x+4)(x-8)    

Step-by-step explanation:

x^2 - 4x -32         Find two numbers that their product is -32 and their sum is -4. The numbers -8  and 4 will work out because -8 times 4 is -32 and -8 plus 4 is -4.

Now rewrite the whole polynomial as

x^2 +4x -8x -32     Now group them  

(x^2 +4x)  (-8x -32)    Now factor each side

x(x +4)   -8(x +4)         factor out x+4

(x+4)(x-8)  

Step-by-step explanation:

Input Equation can be rewritten:

= (9*1/2)+(7*-91/12)

= (9/2)+(7*-91/12)

= (4.5)+(7*-91/12)

= 4.5+(7*-91/12)

= 4.5+(-637/12)

= 4.5+(-53.083333333333)

= 4.5+-53.083333333333

= 4.5-53.083333333333

= -48.583333333333

hope this helps!

Answer:

16x-103/12

Step-by-step explanation:

(9x+1/2)+(7x-9 1/12)

9x+1/2+(7x-109/12)

remove parenthesis

9x+1/2+&x-109/12

combine like terms and differences.

16x-103/12

Answer:

37/6

Step-by-step explanation:

The improper fraction is 37/6.

What is improper fraction?

An improper fraction is defined as a fraction whose numerator is greater than the denominator. Suppose, x/y is an improper fraction, such that x > y. It is therefore, the improper fraction is always greater than one.

Fractions have two parts, numerator and denominator. If  ⅓ is a fraction, then 1 is the numerator, and 3 is the denominator. An improper fraction has a numerator greater than the denominator. For example, 3/2 is an improper fraction.

Given fraction is [tex]6\frac{1}{6}[/tex]

firstly we will multiply 6 by 6 and then we will add 1

(36+1)/6

= 37/6

Which is improper fraction.

To know more about improper fraction, visit:

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Answer:

x=69° ,y=69° is the answer

Step-by-step explanation:

Hope it is helpful for you

please follow me

Answer: X = 69° and Y = 111°

Step-by-step explanation: X is a z-angles which makes it the same as the given angles. Y is a corresponding angle which makes it the same as the above angle 111°.

Answer:

∠ D = 48°

Step-by-step explanation:

Since AC ~ BC then Δ ABC is isosceles and the base angles are equal, thus

∠ B = ∠ C = 69°, then

∠ ACB = 180° - (69 + 69)° = 180° - 138° = 42° ( sum of angles in Δ )

∠ DCE = ∠ ACB = 42° ( vertical angles )

∠ D = 180° - (90 + 42)° = 180° - 132° = 48°

Answer:

Step-by-step explanation:

17x + 9

Answer:

03/23/2020

OverdueLPercents and Fractions--Assigned

Spelling 600

DueTypeTitleScoreStatus

04/13/2020

OverdueTUnit Test--Assigned

Step-by-step explanation:

03/23/2020

OverdueLPercents and Fractions--Assigned

Spelling 600

DueTypeTitleScoreStatus

04/13/2020

OverdueTUnit Test--Assigned

Answer:

20-25: 5

26-30: 5

31-35: 0

36-40: 10

41-45: 7

46-50: 2

51-55: 4

Step-by-step explanation:

The answer is

20-25: 5

26-30: 5

31-35: 0

36-40: 10

41-45: 7

46-50: 2

51-55: 4

because to solve this problem you must make seven intervals and sort the numbers into those seven intervals.

Answer:

Step-by-step explanation:

Given the line containing the points.

x | -7. -6. -5. -4

y | 21. 17. 13. 9

The slope of the line is expressed as m = Δy/Δx = y₂-y₁/x₂-x₁

Using the coordinates y (21, 17) and corresponding value of  x(-7, -6)

y₁ = 21, y₂ = 17 x₁ = -7, x₂ = -6

Substituting the values into the formula for calculating the slope, we have;

m = Δy/Δx = 17-21/-6-(-7)

m = -4/-6+7

m = -4/1

m = -4

Hence the slope of the line that contains these points is -4

Answer:

The answer to question 5 is x = 23. The answer to question 6 is x = 17.

Step-by-step explanation:

Two Key Points:

- Angles on a straight line always add up to 180°

- The angles in the inside of a triangle add up to 180°

I have attached a picture showing how to do the two problems. I hope this helps!

Answer:

x=203/18

Step-by-step explanation:

convert the decimal into a fraction

203/50/x = 9/50 / 1/2

simply the complex fraction:

203/50x = 9/25

cross multiply

450x = 5075

divide both sides by 450:

x= 203/18

Answer:

X=11.2778

Step-by-step explanation:

4.06/X=0.18/0.5

cross multiply

0.18×X=4.06×0.5

0.18X=2.03

divide both sides by 0.18

0.18X/0.18=2.03/0.18

it becomes

X=2.03/0.18

X is therefore 11.2778

Answer:

the 1st pizza is the better deal

Step-by-step explanation:

Answer:

Crackers $1

Cheese $9

Jam $4

Butter $9

1+9+4+9

= $23

Answer:

-7<x<-3

Step-by-step explanation:

separate into two inequalities:

3x+15>-6

3x+15<6

solve inequalities:

3x>-21........3x<-9

x>-7.............x<-3

-7<x<-3

Answer:

Absolute value is the distance on a number line. In other words, a number with absolute value will always be positive.

Answer:

Absolute value means to remove any negative sign in front of a number, and to think of all numbers as positive or zero.

Answer:

[tex] \huge \purple { \boxed{ C = \frac{5}{9} ( F - 32)}}[/tex]

Step-by-step explanation:

I the given problem, there should be 32 in place of 35.

[tex]F = \frac{9}{5} C + 32 \\ F - 32= \frac{9}{5} C \\ 5( F - 32)= 9 C \\ \frac{5}{9} ( F - 32)=C \\ \\ \huge \red{ \boxed{ C = \frac{5}{9} ( F - 32)}}[/tex]