How do i write 4x-2y=12 in function notation

Answer:

She should invest 6976.74 $ principal on daughter's 12th birthday.

Explanation:

  We have  I = prt, where I represents simple interest, p represents principal, r represents interest rate, and t represents time in years.

Here p + I = 12,000 $

   So, I = 12000-p

 Interest rate r = 12% =0.12

 Number of years = 18 - 12 = 6 years.

Substituting

   12000-p = p x 0.12 x 6

  p + 0.72 p = 12000

  1.72 p = 12000

   p = 6976.74 $

So, she should invest 6976.74 $ principal on daughter's 12th birthday.

Answer:

$6,079.58 is the answer

Answer:

24

Step-by-step explanation:

Factorial is applicable only for natural numbers and 0.

0! =1 trivially.

FOr other numbers, factorial is defined as 1x2x...n

For example 1! = 1

2! = 1x2 = 2

and so on.

i.e. n! = product of all natural numbers from 1 to n

= 1x2x....n

Using the above

we have n =4

Natural numbers from 1 to 4 are 1,2,3,4

Find the product of these 4 natural numbers to get 4!

4! = 1x2x3x4 = 24

f(n)= f(n-1) · 0.6+48, n>0

Answer:

n = -3

Step-by-step explanation:

trust me bro like its ez

Answer:

There are an infinite number of fractions in between numbers on a number line.

Step-by-step explanation:

The reason for this is because we have an infinite number of denominators to use. Therefore, we can not number the amount we use.

Answer:

An infinite number.      

Step-by-step explanation:

Hi!

[tex]13m=12-m[/tex]

[tex]13m+m=12-m+m[/tex]

[tex]14m=12[/tex]

[tex]\frac{14m}{14}=\frac{12}{14}[/tex]

[tex]m=\frac{6}{7}[/tex]

Explanation: First you had to do is add m to from both sides. It gave us 13m+m=12-m+m. Then you can simplify, it gave us 14m=12. You can also divide by 14 from both sides. It gave us 14m/14=12/14. And the answer is going to be m=6/7 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day! -Charlie

The value of m is 0.85

To solve for m in the equation [tex]\(13m = 12 - m\)[/tex], we need to isolate m on one side of the equation. Here's the step-by-step solution:

1. Start with the given equation:

[tex]\[ 13m = 12 - m \][/tex]

2. Add m to both sides of the equation to get all the m terms on one side:

[tex]\[ 13m + m = 12 \][/tex]

[tex]\[ 14m = 12 \][/tex]

3. Now, divide both sides of the equation by 14 to solve for m:

[tex]\[ \frac{14m}{14} = \frac{12}{14} \][/tex]

[tex]\[ m = \frac{12}{14} \][/tex]

[tex]( 7 + 7i)( 6 + 7i)=42+49i+42i-49=-7+91i[/tex]

-12.166 divided by -1.54 hm I think -11.122  Im sorry i never learned this...

Your answer would be 7.9

12.166 /-1.54

-7.9

The class needs to sell at least 20 tickets

Let x be the number of tickets that need to be sold in order to add up to $1000

Using the equation $700+$15x>=$1000

Subtract 700 from both sides and then divide each side by 15 to get 20.

14x67 will give you1005

Hey there!!

Given equation :

... { ( 500 + n ) - 50 }5 = c

... { 500 + n - 50 }5 = c

... { 450 + n }5 = c

... 2250 + 5n = c

Hope my answer helps!!

Answer: The answer could be 34.

Step-by-step explanation: Since he used an average of 15 gallons per race we can divide 51 by 3 which gives us 17 and since it's average it doesn't have to be exact. Then we multiply by 17*2 which give us 34 and that's our answer. Im sorry if I'm incorrect I tried my best! Hope this helps!

2 ≤  2w +4 ≤ 12

Subtract 4 from all 3 terms:

-2 ≤ 2w ≤ 8

Divide all 3 terms by 2:

-1 ≤ w ≤4

5.6 * (7 / 5) = 7.84

To earn the total amount by selling 250 magazine subscriptions, we need to calculate the payment for each subscription and then sum them up using the arithmetic series formula. The total earnings will be $6,312.50.

To calculate how much you will earn by selling 250 magazine subscriptions, we need to determine the payments for each individual subscription and then add them up. Based on the given information, the first subscription pays $1.25, and for each additional subscription, the payment increases by 20 cents. We can use a formula to find the payment for each subscription:

Payment = $1.25 + ($0.20 x (n-1))

where n is the number of subscriptions sold. Now, let's calculate the payments for 250 subscriptions:

Now, we need to add up all the individual payments to find the total earnings:

Total earnings = Payment for the 1st subscription + Payment for the 2nd subscription + ... + Payment for the 250th subscription

Total earnings = $1.25 + $1.45 + $1.65 + ... + $49.25

To simplify the calculation, we can notice that the payments form an arithmetic sequence with a common difference of $0.20. We can use the arithmetic series formula to find the sum of the payments:

Total earnings = (n/2) x (first term + last term)

Plugging in the values, we get:

Total earnings = (250/2) x ($1.25 + $49.25) = 125 x $50.50 = $6,312.50

Therefore, you will earn $6,312.50 by selling 250 magazine subscriptions.

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By selling 250 magazine subscriptions, you will earn $51.05.

To find out how much you will earn by selling 250 magazine subscriptions, we need to determine the amount you will earn for each subscription. Given that the company pays $1.25 for the first subscription and increases the payment by 20 cents for each additional one, we can set up an arithmetic sequence to calculate the total earnings.

The sequence starts with $1.25 and increases by 20 cents each time. The formula for the nth term of an arithmetic sequence is:

an = a1 + (n - 1)d

where an is the nth term, a1  is the first term, n is the number of terms, and d is the common difference. In this case, a1 = $1.25 , d = 0.20 , and n = 250.

By substituting these values into the formula, we can calculate the total earnings:

a250 = 1.25 + (250 - 1) * 0.20

a250 = 1.25 + 249 * 0.20

a250 = 1.25 + 49.80

a250 = 51.05

Therefore, you will earn $51.05 by selling 250 magazine subscriptions.

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To find out how long it will take Jim to drive 760 miles at the same pace as before, we divide the total distance by his average speed.

To find out how long it will take Jim to drive 760 miles, we need to determine his average speed and use it to calculate the time. Since we know that he drove 152 miles in 4 hours, we can find his average speed by dividing the distance by the time: 152 miles / 4 hours = 38 miles per hour.

We can use this average speed to calculate the time it will take him to drive 760 miles: 760 miles / 38 miles per hour = 20 hours. Therefore, it will take Jim approximately 20 hours to drive 760 miles if he maintains the same pace.

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side one is 5 side two is 10 and the third side is 13. 28 is not divisible by three so if one side i 5 ft longer and another side is 8 ft longer then you add them 5+8=13 then subtract 13 from the perimeter 28-13=15 then divide 15 by 3 and get 5 5 5. add 5 (5+5) (5+8).

The lengths of the sides of the triangle are 5 feet, 10 feet, and 13 feet.

Let's assume the second side of the triangle has a length of x feet.

According to the given information, the first side of the triangle is 5 feet longer than the second side, so its length would be x + 5 feet.

Similarly, the third side is 8 feet longer than the second side, so its length would be x + 8 feet.

The perimeter of a triangle is calculated by adding the lengths of all three sides, so we can write the equation:

x + (x + 5) + (x + 8) = 28

Now let's solve this equation to find the value of x:

3x + 13 = 28

3x = 28 - 13

3x = 15

x = 15 / 3

x = 5

So, the second side of the triangle has a length of 5 feet.

Using this value, we can find the lengths of the other two sides:

First side: x + 5 = 5 + 5 = 10 feet

Third side: x + 8 = 5 + 8 = 13 feet

Therefore, the lengths of the sides of the triangle are 5 feet, 10 feet, and 13 feet.

Learn more about the triangles here:

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LNMP is a rectangle so the opposite sides are equal

LN = MP

2x + 54 = 9x - 9

7x = 63

 x = 9

Answer:

Green: [tex]\bf~\frac{3}{20}[/tex]

Blue: [tex]\bf~\frac{5}{20}[/tex] or [tex]\bf~\frac{1}{4}[/tex]

Combined probability of a green or a blue: [tex]\bf~\frac{8}{20}[/tex] or [tex]\bf~\frac{2}{5}[/tex]

Step-by-step explanation:

The probabilty of you getting a marble of a given colour is the amount of marbles of the given colour divided by the total amount of marbles.

By using that rule, we get a probabilty o [tex]\frac{3}{20}[/tex] for a green marble, a probabilty of [tex]\frac{1}{4}[/tex] for a blue marble, or if we sum those two and find the probabilty of getting a marble that is either green or blue, we get [tex]\frac{2}{5}[/tex]

[tex]\frac{3}{20} + \frac{5}{20} = \frac{8}{20} = \frac{4}{5}[/tex]

Hope it helped,

BioTeacher101

Step-by-step explanation:

P = 2l + 2w --> w = 1/2·P - l = 1/2·42 - 15 = 6 feet

The width of the rectangular garden will be 6 feet.

The rectangle is defined as a quadrilateral having four sides and the angle suspended by all the sides is equal to 360 degrees. The perimeter is the sum of all the sides of the rectangle.

Given that the perimeter of a garden is 42 feet. The length is 15 feet.

The width of the rectangular garden will be calculated as:-

P = 2l + 2w

w = 1/2·P - l

w= 1/2·42 - 15

w= 6 feet

Therefore, the width of the rectangular garden will be 6 feet.

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90 is approximately 37.5 percent of 240.

To find the number that 90 is 37.5% of, we can set up the following proportion:

90 is to x as 37.5 is to 100

This can be expressed as:

90/x = 37.5/100

To solve for x, we can cross-multiply:

37.5 * x = 90 * 100

Now, divide both sides of the equation by 37.5 to isolate x:

x = (90 * 100) / 37.5

Simplifying the expression on the right side:

x = 9000 / 37.5

Dividing 9000 by 37.5:

x ≈ 240

37.5% of 240 is 90.

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90 is 37.5% of 240.

Part = (Percentage / 100) * Whole

In this case, we are given the part (90) and the percentage (37.5%), and we need to find the whole.

Whole = Part / (Percentage / 100)

Substituting the given values:

Whole = 90 / (37.5 / 100)

Whole = 90 / 0.375

Whole = 240

So, 90 is 37.5% of 240.

[tex]\dfrac{3}{4}x+5-\dfrac{1}{2}x=3\qquad|\text{multiply both sides by 4}\\\\\not4^1\cdot\dfrac{3}{\not4_1}x+4\cdot5-\not4^2\cdot\dfrac{1}{\not2_1}x=4\cdot3\\\\3x+20-2x=12\\\\(3x-2x)+20=12\qquad|\text{subtract 20 from both sides}\\\\x=-8[/tex]

A line parallel to this one would need to have the same slope. This line is in the slope/intercept form, and shows us that the slope of this line is 9. Therefore, any line with a slope of 9 would be parallel to y = 9x. For example, the lines y = 9x + 3 and y = 9x - 40 would be parallel to this one.

By subtracting the number of postcards from Canada from the total collection, we find that there are 59 postcards from the United States.

The subject of this problem is subtraction in math. We know that Callie has 83 postcards in total, and 24 postcards are from Canada. The rest are from the United States. We can find out how many postcards are from the United States by subtracting the Canadian postcards from the total collection. So, 83 (total) - 24 (Canadian) = 59 postcards are from the United States.

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you would save $5,827.44 if you paid cash

if you need to show work

649.06*24=15577.44 then add 3750and get 19,327.44 financed amount and deposit.

19,327.44-13,500= 5,827.44

Total distance of a typical running track  = [tex]402 \frac{1}{4} meters[/tex].

Let us convert it into impoerper fraction first, we get

[tex]\frac{402\times4+1}{4}=\frac{1609}{4}meters.[/tex]

Total number of maps in a day = 10 maps.

Number of days of running = 5 days.

Total number of maps of 5 days = 10 × 5 = 50 maps.

Total number of meters in 50 maps = [tex]50\times\frac{1609}{4}=\frac{80450}{4}=20112\frac{1}{2}\ meters.[/tex].