suppose you borrow $1000 for 3 years and you owe $200 interest. what is the interest rate?

Answer:

y= -(1/6)x -2

Step-by-step explanation:

We know:

y= mx +b is the general equation of the line

Was given:

y= 6x +3, has the slope m=6

Find the equation of the line

y= -(1/6)x + b, perpendicular lines have their slope negative reciprocal m=-1/6

Find the y-intercept that is b

for point (x=12, y= -4) the equation of our line becomes

-4 = -(1/6)(12) + b, multiply a fraction and a number  (a/b)*c = ab/c

-4 = -12/6 +b, simplify the fraction

-4 = -2 + b , add 2 to both sides

-4+2 = -2+2 +b , solve for b

-2 = b

The equation of the line that passes through the point (12,-4) and is perpendicular to the line with the equation y=6x +3 is :

y= -(1/6)x -2

Answer:

Dependent variable = Total daily cost

Independent variable = number of items manufactured

2500 ;

9750

Step-by-step explanation:

Given the cost function in. A manufacturing company :

C(x) = 7.25x + 2500 ; Where

C(x) = total daily cost

x = number of items manufactured

The Independent variable is the variable whose value causes a change in the measured variable, this is the number of items manufactured, and the variable which charges as the predictor variable charges is the dependent variable (Total daily cost).

2.)

C(0) ;

C(x) = 7.25x + 2500

Put x = 0

C(0) = 7.25(0) + 2500

Cost = 2500

This is the total daily cost even if no items are produced, this is probably the fixed cost of daily production.

3.)

C(1000)

C(x) = 7.25x + 2500

Put x = 1000

C(0) = 7.25(1000) + 2500

Cost = 7250 + 2500

Cost = 9750

This is the total cost including variable cost of producing 1000 items.

Answer:

1000/25 or 40

Step-by-step explanation:

~ A reciprocal is the fraction's reverse

For example 2/3=3/2

.025 is also 25/1000

The reverse of 25/1000 is 1000/25

Simplified into 40 wholes

1000/25 is the reciprocal of 0.025

A fraction represents a part of a whole.

Given,

Decimal value is 0.025

Zero point zero two five.

Firstly let us convert this to the fraction form.

When twenty five is divided by thousand we get 0.025

25/1000=0.025

So the fraction is 25/1000.

Now we need to find the reciprocal of fraction 25/1000.

Reciprocal means the numerator changes to denominator and denominator changes to numerator.

So 25/1000 reciprocal is 1000/25

Hence, 1000/25 is the reciprocal of 0.025

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Answer:

Step-by-step explanation:

A resposta é a letra a

Brenna and her mom finished eating dinner at 7:28 PM

They started shopping at 4:47 PM, and spent 26 minutes in the shoe store.

4:47 + 26 = 5:13 PM

They spent another 1 hour and 13 minutes shopping for a dress.

5:13 + 1 hr 13 min = 6:26 PM

Finally, they spent 1 hour and 2 minutes eating dinner at the food court.

6:26 + 1 hr 2 min = 7:28 PM

Hope this helps :)

Answer:

8/3 > 19/8

Step-by-step explanation:

Get a common denominator

8/3 *8/8 = 64/24

19/8 *3/3 =57/24

Comparing the numerators

64>57

8/3 > 19/8

Answer:

-6

Step-by-step explanation:

The equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The y intercept is the value when x = 0

The y value is -6 when the x value is 0

y = -4x+ (-6)

Answer:

All real number

Step-by-step explanation:

The graph of y = x is shown to the right. We can see that it is defined for all x-values because the line will continue to infinity. Thus, the domain of y = x is all real numbers.

Hope this help <3

Assuming the asset is sold on July 1, Year 7 for $29,400, the company should record the asset's value as equal to $32,400.

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Let x be the first number in the sequence. Then the first three numbers are

{x, x + 3, x + 6}

The next sentence says that the sequence

{x + 1, x + 9, x + 25}

is geometric, which means there is some fixed number r for which

x + 9 = r (x + 1)

x + 25 = r (x + 9)

Solve for r :

r = (x + 9)/(x + 1) = (x + 25)/(x + 9)

Solve for x :

(x + 9)² = (x + 25) (x + 1)

x ² + 18x + 81 = x ² + 26x + 25

8x = 56

x = 7

Then the three numbers are

{7, 10, 13}

Answer:

approximately 12.7

Step-by-step explanation:

using phythagoras rule,

hyp²=opp²+ adj²

15²=x² + 8²

225=x² + 64

x²=225 - 64

x²= 161

x=12.7

OR

sin ø= 8/15

sin ø=0.53333333

ø=sin(inverse) of 0.53333333

ø=0.563⁰

therefore angle opposite 8 is 0.563

tan 0.563= 8/x

x tan 0.563=8

x= 8/tan 0.563

x= 12.7

Step-by-step explanation:

Hi there!

Please see attached picture for your answer.

Hope it helps!

Answer:

x = 1

Step-by-step explanation:

8x = 5x + 3

Subtract 5x from both sides

8x - 5x = 5x - 5x + 3

Simplify

3x = 3

Divide both sides by 3

3x/3 = 3/3

Simplify

x = 1

The mean, the median and the mode are measures of central tendency, and they are related in some many ways, depending on the type of distribution.

The median of the moderately asymmetrical distribution is 26

The given parameters are:

[tex]Mean = 30[/tex]

[tex]Mode = 24[/tex]

For a moderately asymmetrical distribution, the mean, median and mode are related by the following equation:

[tex]Mode = 3 * Median - 2 * Mean[/tex]

Substitute known values

[tex]30= 3 * Median - 2 * 24[/tex]

[tex]30= 3 * Median - 48[/tex]

Collect like terms

[tex]3 * Median =30+ 48[/tex]

[tex]3 * Median =78[/tex]

Divide both sides by 3

[tex]Median =26[/tex]

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Answer:

x = 1/2 or 0.5

Step-by-step explanation:

8(-2x + 1) = 0

Distribute the 8 by multiplying 8 by what's inside of the parenthesis (-2x and 1)

8 * -2x = -16x

8 * 1 = 8

We now have

-16x + 8 = 0

Subtract 8 from both sides

-16x + 8 - 8 = 0 - 8

-16x = -8

Divide both sides by -16

-16x/-16 = -8/-16

x = 1/2

8( -2x + 1 ) = 0

Simplify the left hand side

Transposing -16x to the other side

Cross multiplying we get

Hence the value of x is 0.5 or ½

Answer:

boat speed 79 kph

stream speed 16kph

Step-by-step explanation:

Let v be the still water velocity

Let s be the stream velocity

3(v - s) = 189

3v - 3s = 189

   v - s = 63

        v = 63 + s

         5(v + s) = 475

         5v + 5s = 475

5(63 + s) + 5s = 475

315 + 5s + 5s = 475

               10s = 160

                  s = 16 km/hr

v = 63 + 16

v = 79 km/hr

Answer:

No, the sale price wasn't consistent with the ad

Step-by-step explanation:

The original selling price is 109. 9% of 109 is 9.81. So the sale price should be 99.19.

Answer: 16

Step-by-step explanation:

Take ( 7 - 3 ) and subtract 3 from 7, which gives you 4, then take 4 and multiply it by 4, ( 4x4 ) which gives you 16.

Answer:

16

Step-by-step explanation:

4 * (7 - 3)

Parentheses first

4*(4)

Then multiply

16

Answer:

A. 22

B. 8

C. 23 + 24

D. 22 + 23 + 24

E. 8 + 8 + 10

F. 104 - (sum of all the given numbers) = 3

Answer:

Find all polar coordinates of point P where P = (5 , -pi+%2F6 ).

There are two sets of possibilities.

(1) Same (positive) magnitude and an angle that is the same as the given angle, or differs from the given angle by an even multiple of pi:

P = (5, -pi%2F6%2B2n%2Api )

(2) Opposite (negative) magnitude and an angle that differs from the given angle by an odd multiple of pi:

(-5, -pi%2F6%2B%282n%2B1%29pi)

answer is: (5,-pi%2F6+%2B+2n%2Api) or (-5, -pi%2F6%2B%282n%2B1%29pi)

Answer:

negative pi divided by 6 + (2n + 1)π) or (-1, negative

Step-by-step explanation:

5.25....................

Step-by-step explanation:

Mia want to buy 3 notebook for $1.29 each ,

then total cost =3×1.29

hence, 3×29

1\6+1/12+2/6=2+1+4/12

=7/12

Answer:

67 degrees

Step-by-step explanation:

23 + 90 = 113

180 - 113 = 67

Answer:

(c) 10, 404.

Step-by-step explanation:

Step 1.

To multiply 289 by 36, set them up as shown by arranging the two numbers in columns. We usually put the number with the smaller number of digits at the bottom.

Step 2.

Firstly, work out 6 × 289. The smaller figures in green are the tens figures carried over. Working from right to left:

6 × 9 = 54

Put the 4 in the appropriate column and carry the 5.

6 × 8 + 5(carried) = 53

Put the 3 in the appropriate column and carry the 5.

6 × 2 + 5(carried) = 17

Put the 7 in the appropriate column and carry the 1.

Step 3.

Lastly, work out 30 × 289.

This can be written as 3 × 289 × 10.

Because we are multiplying by 10, we place 1 zero to the right and then work out 3 × 289.

3 × 9 = 27

Put the 7 in the appropriate column and carry the 2.

3 × 8 + 2(carried) = 26

Put the 6 in the appropriate column and carry the 2.

3 × 2 + 2(carried) = 8

Step 4. Finally, the 2 rows are added together starting at the right. The smaller figures in green are the tens figures carried over.

0 + 4 = 4

7 + 3 = 10

Put the 0 in the appropriate column and carry the 1.

6 + 7 + 1(carried) = 14

Put the 4 in the appropriate column and carry the 1.

8 + 1 + 1(carried) = 10

Put the 0 in the appropriate column and carry the 1.

1 (carried) = 1

So: 289 × 36 = 10404

Mathematics done on paper should look something like this; ( Did the best I can on PC)

2 8 9

................. 3....6....×

1 7 3 4

 1 5 5  

8 6 7 0

.......  2......2.........  

1 0 4 0 4

1 1 1    

Hope this helped!

Answer:

Step-by-step explanation:

x3−x2+5x−12

x

≥0

Let's find the critical points of the inequality.

x3−x2+5x−12

x

=0

x3−x2+5x−12=0(Multiply both sides by x)

(Use cubic formula)

x=1.836169

Check possible critical points.

x=1.836169(Works in original equation)

Critical points:

x=1.836169(Makes both sides equal)

x=0(Makes left denominator equal to 0)

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x<0(Works in original inequality)

0<x≤1.836169(Doesn't work in original inequality)

x≥1.836169(Works in original inequality)

Answer:

x<0 or x≥1.836169

Answer:

= 87.26 + (-25.6) + (-5.4)

=87.26- 25.6 - 5.4

= 87.26 - 31

= 56.26

✌✌✌✌✌

Answer:

The two numbers are 6 and 12.

Step-by-step explanation:

So, let's start off, with x+y = 18 and x-y = 6.

Algebraically, we can add the above two equation sets, and we find out that 2x = 24, so x = 12. And then, it says the other number must be 6.

You start with a number that when added to the second number you will get 18 and when you subtract the second number from the first you will get 6. The difference between the above two results is 12.

So that difference of 12 is twice the second number; that means the second number is 6. And then using either of the given pieces of information, you can find that the first number is 12.

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

In conclusion:

6 + 12 = 18

12 - 18 = 6