Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so it's employees' salaries keep up with inflation. At the end of the first year Mark will have made $65,000.

What is the explicit function that represents Mark's salary?

Answer:

Step-by-step explanation:

[tex] \sf{ \frac{1}{3} \times \frac{2}{5} }[/tex]

▪️To multiply one fraction by another , multiply the numerators for the numerator , and multiply the denominators for its denominator.

⇒[tex] \sf{ \frac{1 \times 2}{3 \times 5} }[/tex]

⇒[tex] \sf{ \frac{2}{15} }[/tex]

Hope I helped!

Best regards!

Answer:

Its the "range" of x values, so from -2 to 2.

You can write it as [-2, 2]

Answer:

333.59375 Euro

Step-by-step explanation:

427 Canadian dollars converted to Euro

rate of exchange: for every 1.28 Canadian dollars=1 Euro

                                              427                              = ?? Euro

427/1.28=333.59375 Euro

Answer:

0.4 cm

Step-by-step explanation:

10 mm = 1 cm thus 4mm / 10  = 0.4 cm

Answer:

15. True

16. False

17. True

18. False

19. True

20. False

21. True

Step-by-step explanation:

15. The three points can be taken as being two points on a line adjacent to a point which always forms a plain when the ends of the line are connected to the point

16. The two circles can be on different planes

17. With one line fixed, the other line can be rotated until both lines are in the flat plane

18. The definition of skew lines are lines in different planes that are not parallel and that do not intersect

19. Whereby the angle crosses the circumference of the circle twice, the number of intersections = 4

20. Two distinct circles can only intersect twice

21.  A plane can always be drawn with any three points

Answer: 6•(n+6)

Step-by-step explanation:

n is number

can be any letter

Answer:

6(n+6)

Step-by-step explanation:

the product means multiplication so you're going to need to multiply 6 by the number increased by 6. n represents the number, so n increased by 6 would be n+6. the parentheses represent the multiplication. put it together and you get the answer  6(n+6)

Answer:

Step-by-step explanation:

1 inch = 25.4 millimeters

1 inch = 25.4 millimeters26 inches = ?

26 × 25.4

26 × 25.4= 660.4 millimeters

660.4 millimeters is the answer.

Answer:

v = 1.62 m/s

Step-by-step explanation:

Given that,

Distance covered by the mouse is 5.56 m is in 3.42 seconds.

We need to find the velocity of the mouse. It is equal to the total distance covered divided by time taken. So,

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{5.56\ m}{3.42\ s}\\\\v=1.62\ m/s[/tex]

So, the velocity is 1.62 m/s.

Answer:

Step-by-step explanation:

Let the unknown number be x

[tex]\frac{3}{4} = \frac{x}{8} \\\\Cross \: Multiply\\4\times x = 3 \: \times 8\\\\4x =24\\\\Divide \:both\:sides \:of\:the\:equation\: by\: 4\\\frac{4x}{4} = \frac{24}{4} \\\\x = 6[/tex]

Answer:

6

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] = [tex]\frac{?}{8}[/tex]

The 4 on the denominator is multiplied by 2 to obtain 8

The same operation must be applied to the numerator to make them equal.

Thus

3 × 2 = 6

[tex]\frac{3}{4}[/tex] = [tex]\frac{6}{8}[/tex] ← are equal fractions

Answer:

2.29 rads

Step-by-step explanation:

The  length of the arc of a circle of radius r is given by;

l = rθ            ---------------------------(i)

Where;

l = length of the arc

θ = central angle o that intercepts that arc and measured in radians.

From the question:

l = 16ft

r = 7ft

Substitute these values into equation (i) as follows;

16 = 7θ

Make θ subject of the formula

θ = [tex]\frac{16}{7}[/tex]

θ = 2.29    

Therefore, the radian measure of the central angle is 2.29 rads

Answer:

y = -2/3x + 2

Step-by-step explanation:

Hey there!

Well since we already got the y-intercept to find slope we'll use the points,

(3,0) and (0,2).

Formula: [tex]\frac{y^2 - y^1}{x^2 - x^1}[/tex]

Plug in the given points,

[tex]\frac{2 - 0}{0 - 3}[/tex]

Slope = -2/3

Slope-intercept: y = -2/3x + 2

Hope this helps :)

Answer:

y = -2/3x + 2  or

2x + 3y  = 6   (standard form).

Step-by-step explanation:

I am assuming you want the equation of the straight line that passes through these 2 points.

The 2 points are (3, 0 ) and (0, 2).

The slope of the line =  (2 - 0) / (0 - 3)

= -2/3.

The equation is y = -2/3x + 2  ( as 2 is the y-intercept).

In standard form this is :

3y = -2x + 6

2x + 3y  = 6.

Answer:

3/15 in the simplest form is 1/5....

when you divide by 3 it gives 1/5.

The fraction 3/15 in simplest form is 1/5.

A fraction is in its simplest form if the numerator and denominator have no common factors other than 1.

In other words, you cannot divide the top and bottom any further and have them still be whole numbers. The simplest form is also called lowest terms.

In this case, 3 and 15 have a common factor, which is 3. Thus, 3/15 in simplest form will be:

3/15 = 1/5  (divide both numerator and denominator by 3)

Learn more about fraction on:

https://brainly.com/question/11562149

#SPJ6

Answer:

Following are the answer to this question:

Step-by-step explanation:

For calculating, matching, or arranging certain fractions, the benchmark fraction can be described as common fractions, that can be calculated or judged. It is most useful when measuring fractions to comparisons in a number line.

Given value:

[tex]\to 1 \frac{1}{3}[/tex] [tex]= 1+\frac{1}{3} \\[/tex]

         [tex]= 1+ \frac{1}{6}+\frac{1}{6}\\[/tex]

Answer:

The upper reason is your answer.....

Answer:

B) 8x-1

Step-by-step explanation:

A) 8x-5x  Like terms  = 3x

B) 8x-1   Not like terms  8x-1

C -(8x+3)  Distribute the minus sign  -8x -3

D 8(x-2) Distribute the 8   8x - 16

Answer:

B. 8x - 1

Step-by-step explanation:

Notice that all of these expressions can be simplified except for option B. 8x-1.

Option A has two like terms, 8x and -5x which could be reduced to 3x

Option B has two distinct terms, 8x and -1 which can only be combined into 8x-1

Option C has a leading negative, and can be simplified with the distributive property to be -8x + -3

Option D has a leading 8 that can be distributed to the term (x-2) to form 8x - 16.

Thus, choose option B.

Cheers.

Answer:

384

Step-by-step explanation:

The pattern is: the sum of the multiplication of the 2 numbers underneath the blank.

48 * 8 = 384

Hope this helps! Please tell me if I did something wrong, thanks!

Answer:

Step-by-step explanation:

Use distributive property a(b+c) = a*b +a*c

4(-8x + 5) - (-33x - 26) = 4*-8x + 4 *5 - 33x * (-1) - 26*(-1)

                                    = -32x + 20 + 33x + 26

                                    {add like terms}

                                    = -32x + 33x + 20 +26

                                   = 1x + 46

Answer:

10:40

Step-by-step explanation:

3x4 = 12

4 x 4 = 16

5 x 4 = 20

so 10 x 4 = 40 (10:40)

Answer:

10:40

Step-by-step explanation:

Step 1: Reduce ratio to lowest value

3 : 12 = 1 : 4

*Divide by 3

Step 2: Solve ratio

Let 'x' represent the second number

1 : 4 = 10 : x

Multiple the left side by 10

10 : 40 = 10 : x

Therefore the second number in the ratio with 10 is 40

Answer:

9

Step-by-step explanation:

f(x)=2x+1

f(4)=2 x 4+1

   = 8+1

  = 9

Answer:

Wherever we see an  x , we just input  4  to find  f ( 4 ) :  f ( 4 ) = 2 ( 4 ) − 1 = 8 − 1 = 7  

Hope this helps

Answer:

96.1826

Step-by-step explanation:

to make that decimal numbers in 4 decimal places, then you count the number at the right hand side after the point, when u get to the 4th digit, you stop, then if the 5th digit is more than 4, they you add 1 to the 4th digit and there u have 96.1826

The Round 96.1825899389 to 4 decimal places will be 96.1826

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

We need to Round 96.1825899389 to 4 decimal places.

To make that decimal numbers in 4 decimal places, then we count the number at the right hand side after the point, when u get to the 4th digit.

Therefore, the Round 96.1825899389 to 4 decimal places will be 96.1826

Learn more about rounding numbers  here:

https://brainly.com/question/1285054

#SPJ6

Answer:

In the given quadrilateral, two angles measure 60° and other two angles measure 120°.

Step-by-step explanation:

As we know sum of all interior angles of a polygon with 'n' sides is,

Sum of interior angles = (n - 2) × 180°

                                     = (4 - 2) × 180° [for a polygon with n = 4]

                                     = 360°

a + a + 2a + 2a = 360°

6a = 360°

x = 60°

Measure of angles = a° = 60°

And angles having measure = 2a° = 2(60)°

                                               = 120°

Therefore, in the given quadrilateral, two angles measure 60° and other two angles measure 120°.

Answer:

10n

Step-by-step explanation:

n represents number, its like using X, since we don't have the information on it, we replace it with a letter.

Answer:

Let the number be n.

10× n =10n.

hope you got thè answer.

Answer:

Subtract 10

Step-by-step explanation:

The first option, "take the ones digit", is obviously incorrect because the ones digit of 9 is not -1. The second one is incorrect because you are dividing by 2 and then adding 5. Dividing odd numbers by 2 will give you a decimal and a decimal plus an integer (the integer is 5 in this case) will still be a decimal (provided that the decimal is not an integer as well). However, both of the outputs are integers, so we know that the second one is wrong. The third one is wrong as well because 9 / 3 = 3, not -1. The last one is correct because 15 - 10 = 5 and 9 - 10 = -1.

The changed pentagon maps back onto itself only one time, when the value of α is 360°. A polygon must be regular to map back onto itself more than once. In a regular polygon, all of the sides are equal and all of the angles are equal.

Step-by-step explanation:

Answer:

The changed pentagon maps back onto itself only one time, when the value of α is 360°. A polygon must be regular to map back onto itself more than once. In a regular polygon, all of the sides are equal and all of the angles are equal.

Step-by-step explanation:

Sample Answer

Answer:

m = 10

Step-by-step explanation:

Divide both sides of this equation by 6.  We get:

m = 60/6 = 10.

Solution:  m = 10

Answer:

m =10

Step-by-step explanation:

Answer:

Step-by-step explanation:

To fraction ;

[tex]0.13=\frac{0.13\times \:100}{100}\\\\=\frac{13}{100}[/tex]

To percentage

[tex]\frac{0.13}{1}\times \frac{100}{100}\\ \\= 13/100\\\\= 13\%[/tex]

Answer:

The difference between the area of the original triangle and the area of the new triangle is [tex]\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)[/tex].

Step-by-step explanation:

The equation for the area of a triangle ([tex]A_{\bigtriangleup}[/tex]) is:

[tex]A_{\bigtriangleup} = \frac{1}{2}\cdot b \cdot h[/tex]

Where:

[tex]b[/tex] - Base, dimensionless.

[tex]h[/tex] - Height, dimensionless.

The expression for each triangle are described below:

First Triangle ([tex]b = 3\cdot x + 7[/tex], [tex]h = 5\cdot x - 1[/tex])

[tex]A_{\bigtriangleup,1} = \frac{1}{2}\cdot (3\cdot x+7)\cdot (5\cdot x -1)[/tex]

Second Triangle ([tex]b = 3\cdot (3\cdot x+7)[/tex], [tex]h = 2\cdot (5\cdot x -1)[/tex])

[tex]A_{\bigtriangleup,2} = 3\cdot (3\cdot x+7)\cdot (5\cdot x -1)[/tex]

The difference between the area of the original triangle and the area of the new triangle is:

[tex]\Delta A_{\bigtriangleup} = A_{\bigtriangleup,2}-A_{\bigtriangleup,1}[/tex]

[tex]\Delta A_{\bigtriangleup} = 3\cdot (3\cdot x+7)\cdot (5\cdot x-1)-\frac{1}{2} \cdot (3\cdot x+7)\cdot (5\cdot x-1)[/tex]

[tex]\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)[/tex]

The difference between the area of the original triangle and the area of the new triangle is [tex]\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)[/tex].

Answer:

I think the answer is

y= 3/4x - 7/4

(Not sure though)

Answer:

4

Step-by-step explanation: 4*4 is 16. 4^2 is 16. So the square root of 16 is 4.

Answer:

4

Step-by-step explanation:

4 times 4 = 16, therefore the square root of 16 must be 4

Answer:

m=96

Step-by-step explanation:

[tex]\frac{15}{8}m-11=\frac{7}{4}m+1\\\\\frac{15}{8}m -\frac{7*2}{4*2}m=1+11\\\\\frac{15-14}{8}m=12\\\\\frac{1}{8}m=12\\\\m=12*8\\\\m=96[/tex]