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Suppose you want to have $300,000 for retirement in 35 years. Your account earns 10% Interest.
How much would you need to deposit in the account each month?

Answer: The star is 2 quadrillion( 1 followed by 15 zeroes) and 301 trillion( 1 followed by 12 zeroes) miles away from Earth. To shorten this into scientific notation(the format used to write large numbers) is: 2.301 x 10^15.

Step-by-step explanation: First, find the exact value of the units of measurement, which in  this case is light years. To do so, your best choice would be to separate the equation given for light years. (Note: the line through the middle is just to separate two very similar series of steps.)

1. 5.9 x 10^12 into 5.9 x (10^12)

2. 10^12 = 1,000,000,000,000. 10^12 is the same as adding 11 zeroes since it is multiplying by tens, not 12 zeroes since there is already a zero on the ten. This number is one-trillion(we will shorten this number to 1T).

3. 5.9 x 1T = 5.9 T. Don't get nervous of the big numbers, this is the same as doing 5.9 x 1 and then adding a name afterwards. Now that we have our number, we must remember the question is asking for miles, so keep in mind this large number is the miles.

4. 5.9T --> 5.9 | T Take off the T from 5.9T for now to make this problem a little simpler for this next part.(Note: the | is a separator)

------------------------------------------------------------------------------------------------------------- 5. 3.9 x 10^2 into 3.9 x (10^2)

6. 10^2 = 100. 10^2 is the same as multiplying adding one zero to the ten. This number is one-hundred.

7. 3.9 x 100 = 390. Please remember that this step is to find the number of light years away from the Earth.

8. 390 x 5.9 = 2301. This is the number of lightyears times the number of miles without the zeroes. The next step is to add the zeroes which brings the number into trillions.

9. 2301 | T --> 2301T. Next is to simplify this number, since every zero  after 3 makes the number into a different name, this number is now has 15 zeroes. This number(one-quadrillion) will be shortened to Qu.

10-ish. 2301T = 2.301Qu. This is the name of a number with 15-17 zeroes.

10. 2.301Qu = 2.301 x 10^15. This is just turning the number into scientific notation.

Done!

Step-by-step explanation:

a linear or arithmetic sequence has a start value as first term, and then every following term is created by adding the same constant to the previous term.

a1 = a

a2 = a1 + c = a + c

a3 = a2 + c = a + c + c = a + 2c

a4 = a3 + c = a + c + c + c = a + 3c

...

as we can easily see

an = an-1 + c = a + (n-1)c

in our case

a3 = 17 = a + 2c

a = 17 - 2c

a45 = 269 = a + 44c = 17 - 2c + 44c = 17 + 42c

252 = 42c

c = 6

a = 17 - 2c = 17 - 2×6 = 17 - 12 = 5

so,

an = 5 + (n-1)×6

1. The equation that models the sentence is 4n + 12 = 0.

2. The numbers from least to greatest are -3, -1, 1, 3.

Integers are whole numbers. An integer a number without a fraction or decimal component. Integers can either be positive, negative or zero. An odd number is a number that cannot be divided perfectly into two halves.  An example of odd numbers are -11, 21.

Consecutive odd numbers are whole numbers that follow each other on the number line. Consecutive odd numbers increase by 2. Examples of consecutive odd numbers are 7, 9, 11.  

If 4 consecutive odd integers are: n, (n +2) (n + 4) , (n + 6)

n +  n + 2 n + 4 + n + 6 = 0

4n + 12 = 0

4n = -12

n = -12 / 4

n = -3

The numbers are -3, -1, 1 , 3

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Answer:

Dat is

45/7

6.43

6.43+4+4

14.43

Answer:

b c

Step-by-step explanation:

have a great day

The coordinates of the midpoints of the segment with the endpoints are (-1, 0.5)

The endpoints of the segment are given as

J = (-6, 3)

K = (4, -2)

The coordinates of the midpoints of the segment with the endpoints are calculated as

Midpoint = 1/2 * (J + K)

So, we have

Midpoint = 1/2 * (-6 + 4, 3  - 2)

Evaluate the sum and the difference

So, we have

Midpoint = 1/2 * (-2, 1)

Evaluate the product

So, we have

Midpoint = (-1, 0.5)

Hence, the coordinates of the midpoints of the segment with the endpoints are (-1, 0.5)

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The length of the equilateral triangle side is 13 inches while that of the square is 6 inches.

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

Let x represent the side of the equilateral triangle and y represent the side of the square. Hence:

For the perimeter:

3x = 4y + 15    

3x - 4y = 15   (1)

Also:

x = y + 7

x - y = 7     (2)

From the equations:

y = 6, x = 13

The length of the equilateral triangle side is 13 inches while that of the square is 6 inches.

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Answer:

A: 24

B: 3

C: -1

D: 12

Step-by-step explanation:

Answer:

24 dogs

Step-by-step explanation:

36 divided by 24= 1.5

1.5 times 16=24

so 24 dogs :)

Based on the return on assets of 21%, the net income of Pacific Ocean Resort  for year is $166,950

What is return on assets?

The return on assets for the company is determined as the net income divided by the average total assets of Pacific Ocean Resort , bearing in mind that the average total assets is sum of the beginning and ending assets divided by 2

return on assets=net income/average total assets

return on assets=21%

net income=unknown

average total assets=($720,000+$870,000)/2

average total assets=$795,000

21%=net income/$795,000

net income=$795,000*21%

net income=$166,950

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The expressions that are equivalent to -9 are -(9) and -|9|

Rational expressions are expressions that are represented by the quotient of two polynomials or radicals. This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals

The expression is given as

-9

According to the identity law of algebra, we have the following equation

-x = -(x)

This means that

-9 = -(9)

Also, we have

-9 = -|9|

Hence, the expressions that are equivalent to -9 are -(9) and -|9|

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Answer:

If Tina buys a bag containing 9 pounds of dog food, it will last for 9 days.

Step-by-step explanation:

Give Brainliest if I helped!

The ordered pairs in which each of the least corrupt countries corresponds to a corruption rating will be {(A,9.7),(B,9.6),(C,9.6),(D,9.1)}.

It should be noted that an ordered pair is the pair of two numbers or variables that are written inside brackets and are separated by a comma.

An example, (1, 2) is an ordered pair. It should be noted it can represent a point. In this case, the pair should be in the form of:

(Country, corruption rating)

(A, 9.7)

(B, 9.6)

(C, 9.6)

(D, 9.1)

Therefore, this will be {(A,9.7),(B,9.6),(C,9.6),(D,9.1)}.

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The least whole number that can be rounded to 230,000 is 225,000.

The ten thousand number (10,000) is usually the fifth digit in a number when counting from the right to the left. For example, in 132,456, 3 is the ten thousand number.

To round off to the nearest ten thousand, if the thousand digit is equal to or greater than 5 (i.e. 5,6, 7, 8, 9), 1 is added to the ten thousand digit and other numbers less than the ten thousand digit becomes 0. For example, when 234,612 is rounded to the nearest ten thousand, the number becomes 235,000.

If the thousand digit is less than 5 (i.e. 0, 1, 2, 3, 4), there is no change in the ten thousand digit other numbers less than the ten thousand digit becomes 0. For example, when 234,412 is rounded to the nearest ten thousand, the number becomes 234,000.

The numbers that can be rounded off to 230,000 are: 225,000, 226,000, 227,000, 228,000, 229,000, 230,000, 231,000, 232,000, 233,000, 234,000

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Answer:

3.9

Step-by-step explanation:

im not sure :<

Answer:

9/25 = 0.36 = nine twenty-fiths

Step-by-step explanation:

The area of the rectangle is equal to b² · (b + 1) · (b + 0.628) · (b + 6.372).

The area of the rectangle is equal to the product of the height and the width, each of them represented by polynomials. In this question we must apply algebraic handling to simplify the product of the two polynomials:

A = h · w           (1)

Where:

If we know that h = b³ + b² and w = b² + 7 · b + 4, then the area of the rectangle is:

A = (b³ + b²) · (b² + 7 · b + 4)

A = b² · (b + 1) · (b + 0.628) · (b + 6.372)

The area of the rectangle is equal to b² · (b + 1) · (b + 0.628) · (b + 6.372).

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Given the point and slope, the equation of the line is in slope-intercept form is y = (-2/3)x + 2

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the data in the question;

Point ( 9, -4 )

Since already have the slope, we determine the y-intercept b by substituting the given values into the equation of line formula.

y = mx + b

-4 = (-2/3)9 + b

Solve for b

-4 = -18/3 + b

-4 = -6 + b

b = -4 + 6

b = 2

Now that the values of slope m and y-intercept b is known, plug these into y = mx + b to determine the equation of the line.

y = mx + b

y = (-2/3)x + 2

Given the point and slope, the equation of the line is in slope-intercept form is y = (-2/3)x + 2

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Answer:

D They will attract each other

Answer:

-√26, 5.15, 5.2, 16/3

Step-by-step explanation:

-√26 = -5.09

16/3 = 5.33

Answer:

u = -2

Step-by-step explanation:

Group

[tex]6u+9u+18=-12[/tex]

Add similar elements in the equation

[tex]15u+18=-12[/tex]

Subtract 18 from all sides

[tex]15u+18-18=-12-18[/tex]

Simplify this

[tex]15u=-30[/tex]

Divide all sides by 15

[tex]\frac{15u}{15}=\frac{-30}{15}[/tex]

Divide 15 by 15, removing u

[tex]\frac{15}{15} = u[/tex]

Transform [tex]\frac{-30}{15}[/tex] by using the fraction rule.

[tex]-\frac{30}{15}[/tex]

Divide 30 by 15.

[tex]\frac{30}{15} = 2[/tex]

Thus,

u = -2

The scientific notation of the number 140.02943 is 1.4002943 × 10⁻².

The given number is;

140.02943

Shift the 2 decimal to the left of the decimal; because of this, the resultant number will get multiplied by  10⁻².

=  1.4002943 × 10⁻²

Thus, the number in the scientific notations will be written as;  1.4002943 × 10⁻².

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The correct question is-

Write scientific notation of -

140.02943

The telephone pole will stands 10.5 meters tall.

Given shadow of you = 5 meters

The true height is 1.5 meters.

We must determine the telephone pole's height because its lengthy shadow is 35 meters long.

Assume that x is the height of the telephone pole..

Now we can write this as

height of shadow/ actual height

5 / 1.5 = 35 / x

By cross multiplication we get

5 * x = 35 * 1.5

We get it by dividing '5' by both sides

x = 35 * 1.5 / 5

x = 10.5 meters

Therefore ,The telephone pole is 10.5 meters tall.

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The algebraic expression which shows how much Maria paid for the tickets including the additional fee is y = 20(5) + 2(5)

let

Total amount Maria paid for the tickets = Cost of each tickets(Number of tickets Maria bought) + Additional fee per tickets(Number of tickets Maria bought)

y = 20(5) + 2(5)

y = 100 + 10

y = $110

Therefore, the algebraic expression which shows how much Maria paid for the tickets including the additional fee is y = 20(5) + 2(5)

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Answer:

d) -32 = 2(3p - 6) is false.

Step-by-step explanation:

A) 6 = 2y - 4

→ 6 = 2(5) - 4

→ 6 = 10 - 4

→ [ 6 = 6 ]

So, the equation is true.

B) 4(b + 5) = 40

→ 4(5 + 5) = 40

→ 4(10) = 40

→ [ 40 = 40 ]

So, the equation is true.

C) (1/5)x + 16 = 17

→ (5/5) + 16 = 17

→ 1 + 16 = 17

→ [ 17 = 17 ]

So, the equation is true.

D) -32 = 2(3p - 6)

→ -32 = 2(15 - 6)

→ -32 = 2 × 9

→ [ -32 ≠ 18 ]

So, the equation is false.

The number that is divisible by 11 is 154451

The divisor is given as

Divisor = 11

Using the test of divisibility rule, numbers are divisible by 11 are palindrome numbers

This means that the numbers remain the same when reversed

From the list of options, 154451 is a palindrome

Hence, the number that is divisible by 11 is 154451

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Answer:

Step-by-step explanation:

World Population = 7,750,000,000

7,750,000,000 / 7 (for amount of days in a week) = 1,100,00,000 people born on Sunday (roughly)

The equation of a line describing Carla's motion during the race is                        y = 3x - 5.        

The slope is defined as the rate of change of the y-axis with respect to the x-axis.

As we are representing y as distance in meters and x as time in seconds we can form two co-ordinates for the distance Carla covered, They are

(20,55) and (30,85).

Now to form an equation of a line we have to first determine the slope(m) and y-intercept (b).

We know slope(m) = (y₂-y₁)/(x₂-x₁).

∴ Slope(m) = (85 - 55)/(30 -20).

= 30/10.

= 3.

Now, The equation of this line can be written as slope intercept form as        y = mx + b.

55 = 3(20) + b.

b = -5.

So, y = 3x - 5 is our required equation of this situation represented by a line.

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