You accept a job as an environmental engineer that pays a salary of $45,000 in the first year. After the first year, your salary increases by 3.5% per year.

Write a rule giving your salary for your nth year of employment.
a ( n ) = ______

Answers

Answer 1

Answer:

a(n) = 45000 (1.035)n-1

Answer 2

Answer:

a(n) is equal to $45,000

(1.035)n-1

Step-by-step explanation:


Related Questions

What is the constant in the expression 9x3 + 3x2 + 4 + 5x?

Answers

Answer:

4

Step-by-step explanation:

The constant is the lone number, in this case it is 4.

Hope this helps.

PLEASE HELP ME, I REALLY NEED HELP!!

Carrie Mae is designing a brace for a large rectangular painting. The painting measures 60 inches by 35 inches. What is the measure of the diagonal brace? Round your answer to the nearest tenth of an inch. Using details, explain how you got your answer. *

Answers

Answer:

69.5 = c

Step-by-step explanation:

35 ^2 + 60 ^2 = c^2

1225 + 3600 = c ^2

[tex]\sqrt{4825}[/tex] = [tex]\sqrt{c^{2} }[/tex]

69.5 = c

22. The perimeter of a rectangle is 84 inches and the width is 7 inches.
What is the length of the rectangle?
A.70 inches
B.35 inches
C.77 inches
D.This information cannot be determined.

Answers

Answer:

35 inches

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)

We know the perimeter and the length

84= 2 ( l+7)

Divide each side by 2

84/2 = 2/2 (l+7)

42 = (l+7)

Subtract 7 from each side

42-7 = l+7-7

35 = l

The length is 35 inches

Answer:

[tex]l = 35 \: \: inches[/tex]

Step-by-step explanation:

[tex]perimeter \\84 = w + w + l + l \\ 84 = 7 + 7 + 2l \\ 84 = 14 + 2l \\ 84 - 14 = 2l \\ 70 = 2l \\ \frac{70}{2} = \frac{2l}{2} \\ l = 35 \: \: inches[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Urgent, Please help!

Answers

Answer:

min: 52max: 78median: 63lower quartile median: 54upper quartile median: 73interquartile range: 19

Step-by-step explanation:

the temperatures ordered from least to greatest

52, 53, 54, 54, 57, 62, 64, 69, 73, 73, 77, 78

the min is 52

the max is 78

median:

52, 53, 54, 54, 57, 62, 64, 69, 73, 73, 77, 78

(62+64)/2=126/2=63

thus the median is 63

now we don't include the median in finding the upper and lower quartile medians:

lower quartile median:

52, 53, 54, 54, 57, 62

54 (same #s no need to add up and divide by 2)

upper quartile median:

64, 69, 73, 73, 77, 78

73 (same #s no need to add up and divide by 2)

interquartile range is:

upper quartile median-lower quartile median:

73-54

19

two congurent, isocoles triangles are joined as shown to form a parallelogram. the largest angle of the parallelogram is 116 degrees

write two equations
solve them to find the value of A and the value of B

Answers

Answer:

64°, 52°

Step-by-step explanation:

2a+b=180°a+b=116° ⇒ b=116°-a2a+116°-a=180° ⇒ a=180°-116°= 64°b=116°-64°= 52°

Reduce to lowest terms.
3m^2-3n^2/6m-6n
ANSWER ASAP

Answers

Answer:

3.

Step-by-step explanation:

3m^2-3n^2= 3(m^2-n^2) = 3 (m+n)(m-n)

6m-6n= 6 (m-n)

3(m+n)~(m-n)~/6~(m-n)~ = (m+n)/2

Lucy graphed the equation x+9y=5 and 4x+15y=-1 and saw that they intersected at the point (-4,1) as shown. What can Lucy conclude? A. (-4,1) is a solution to the system of linear equations. B.(-1,4) is a solution to the system of linear equations. C. (1,-4) is a solution to the system of linear equations. D. (4,-1) is a solution to the system of linear equations.

Answers

Answer:

Option A.

Step-by-step explanation:

If a system of equations has two equations and the graph of both equations intersect at point, then the intersection point is the solution of the system of equations.

The given equations are

[tex]x+9y=5[/tex]

[tex]4x+15y=-1[/tex]

It is given that the graph of both lines intersect each other at point (-4,1).

It means, (-4,1) is a solution to the system of linear equations.

Therefore, the correct option is A.

Answer:

a

Step-by-step explanation:

PLZ HELP WILL GIVE BRANLYIST! Why are the solutions to the proportions StartFraction 40 over 8 EndFraction = StartFraction x over 10 EndFraction and StartFraction x over 40 EndFraction = StartFraction 10 over 8 EndFraction the same? because both result in the equation 8 x = 400, which simplifies to x = 5 because both result in the equation 8 x = 400, which simplifies to x = 50 because both result in the equation 40 x = 80, which simplifies to x = 2 because both result in the equation 40 x = 80, which simplifies to x = 20

Answers

Answer:

Because both result in the equation 8x = 400 which simplifies to 50.

Step-by-step explanation:

If you cross multiply both of the pairs, you will get 8x = 400.

divide 400 by 8 to simplify and you get 50

Answer:

It would be B.

Step-by-step explanation:

Whats the area of each figure ?

Answers

Answer:

A:870         B:438.82

Step-by-step explanation:

L x W x H

have a nice day :-)

segment AB is dilated from the origin to create segment A prime B prime at A' (0, 8) and B' (8, 12). What scale factor was segment AB dilated by?

Answers

The scale factor which segment AB was dilated by is 4

How to determine the scale factor of dilation?

The graph that completes the question is added as an attachment

From the attached graph, we have the following coordinates

A = (0, 2)

B = (2, 3)

The coordinates of the image of dilation are given as:

A' = (0, 8)

B' = (8, 12)

Divide the coordinates of A' by A

So, we have:

Scale factor = A'/A

This gives

Scale factor = (0, 8)/(0, 2)

Evaluate the quotient

Scale factor = 4

Hence, the scale factor which segment AB was dilated by is 4

Read more about dilation at:

https://brainly.com/question/3457976

#SPJ1


Find the distance of AD and round to the nearest tenth, if necessary. A (2,5) D (-5,12)

Answers

Answer:

d = 9.9

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Simply plug in your numbers:

[tex]\sqrt{(-5-2)^2 + (12-5)^2}[/tex]= 7√2

7√2 ≈ 9.89949

Multiply.

(4x+2)(3x+3)

Answers

The right answer is 12x^2+18x+6

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] \boxed{12 {x}^{2} + 18x + 6} [/tex]

Step-by-step explanation:

[tex] = > (4x + 2)(3x + 3) \\ \\ = > 4x(3x + 3) + 2(3x + 3) \\ \\ = > (4x \times 3x) + (4x \times 3) + (2 \times 3x) + (2 \times 3) \\ \\ = > 12 {x}^{2} + 12x + 6x + 6 \\ \\ = > 12 {x}^{2} + 18x + 6[/tex]

Draw an ordered stem and leaf diagram to show this information.
3, 8, 12, 12, 14, 20, 21, 23, 26, 34​

Answers

Im not really sure how to explain it but the number at the top of the ‘stem’ side has to be the smallest number and the bottom one is the biggest.

You then have to write out the numbers in the ‘leaf’ side by only putting one digit numbers in order from smallest to biggest.

which of the following rational functions is graphed below?

Answers

Answer:

C

Step-by-step explanation:

Vertical asymptotes= -2,1

The total amount of water a tank can hold is 14 1/2 gallons. Raul wants to find out how many 1 1/4 gallon buckets of water can be
used to fill the tank. Which expressions could be used to represent this scenario? Select two options..
100 POINTS

Answers

Answer: [tex]\frac{29}{2}[/tex]÷[tex]\frac{5}{4}[/tex], [tex]\frac{29}{2}[/tex]×[tex]\frac{4}{5}[/tex]

Step-by-step explanation: Let me know if you need an explanation.

Answer:

its a and e two options it said

Step-by-step explanation:

y=3x+17, 4x-3y=-26
Use substitution to solve the system

Answers

Answer:

x=-5, y=2

Step-by-step explanation:

[tex]y=3x+17\\\\4x-3y=-26[/tex]

With substitution, you can replace y in the second equation with 3x+17, since you know they are equal.

[tex]4x-3(3x+17)=-26 \\\\4x-9x-51=-26\\\\-5x=25\\\\x=-5\\\\y=3(-5)+17=-15+17=2[/tex]

Hope this helps!

The answer is X=-5 and y=2

The ratio of the measures of the angles of a triangle is 4:6:8. Find the measure of the largest angle.
Largest angle?

Answers

Answer:

80°

Step-by-step explanation:

The angles can be written as 4x, 6x, and 8x. Since the sum of angles in a triangle is 180 degrees we can write:

4x + 6x + 8x = 180

18x = 180

x = 10 which means the largest angle (8x) = 8 * 10 = 80°

PLEASE HELP ME! WILL NAME BRAINLIEST
Find the equation of the line perpendicular to y = x -10 passing through point (10 , -5)

Answers

Answer:

y= -x+5

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Let's find the value of m first.

The product of the gradients of 2 perpendicular line is -1.

Given line: y= x -10

Gradient of given line= 1

m(1)= -1

m= -1

y= -x+c

To find c, substitute a coordinate.

when y= -5, x=10,

-5= -10 +c

c= 10-5 (+10 on both sides)

c=5 (simplify)

Thus, the equation is y= -x +5.

What is the following sum?
4sqrt5+2sqrt5

Answers

Answer:

[tex]4\sqrt{5} +2\sqrt{5}\\= 6\sqrt{5}[/tex]

Step-by-step explanation:

Answer: The following above is correct

Step-by-step explanation: C

What percent of 75 is 18.75

Answers

Answer:

25%

Step-by-step explanation:

X=(18.75*100)/75

A cone with a diameter of 17 feet has a volume of 190.07 cubic feet, find the height of the cone.

Answers

Answer:

Step-by-step explanation:

I don't say u have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

write (6b)^2 without exponents

Answers

Answer:

36 b^2 = 36 bb

Step-by-step explanation:

(6b)^2

This means multiply what is inside the parentheses by itself

(6b) * 6b

36 b^2

36 b*b

Jeff said that his city got 11/3 inches of snow. Write this fraction as a mixed number

Answers

Answer: 11/3 as a mixed number is 3 2/3

Answer:

3 2/3 inches of snow

Step-by-step explanation:

Your denominator is 3. Use the denominator to see how many times it goes into the numerator.

Knowing 3*3 = 9, then 3 goes into 11 three times

subtract 9 from 11 : 11 - 9 = 2

You are given a remainder of 2

Your whole number is three, and because you have 2 remaining from the 11, the 2 becomes 2/3

Answer: 3 2/3  inches of snow

Hope this helps!

How do I solve the problem by isolating x

Answers

Answer:

see below

Step-by-step explanation:

10x +8 = 3(x-2)

Distribute

10x +8 = 3x-6

Subtract 3x from each side

10x+8-3x = 3x-6-3x

7x +8 = -6

Subtract 8 from each side

7x+8-8 = -6-8

7x = -14

Divide each side by 7

7x/7 = -14/7

x = -2

Answer:

10x + 8 = 3x - 6, 7x = -14

Step-by-step explanation:

10x + 8 = 3 ( x - 2 ) = 10x + 8 = 3x - 6

subtract 8 from both sides of the equation: 10x + 8 = 3x - 6

10x + 8 - 8 = 3x - 6 - 8

simplify

10x = 3x - 14

subtract 3x from both sides

10x - 3x = 3x - 14 - 3x

simplify

7x =  -14

divide both sides by 2

7x / 2 = -14 / 2

simplify

x = -2

Idk how to solve triangular prisms

Answers

Answer:

The volume of a triangular prism can be found by multiplying the base times the height. Both of the pictures of the Triangular prisms below illustrate the same formula. The formula, in general, is the area of the base (the red triangle in the picture on the left) times the height,h.

Step-by-step explanation:

hope that make sense, i tried to find something that explained

Step-by-step explanation:

Surface area is found by adding up all the areas of the different figures. When there are multiple figures of the same dimensions, you can just multiply them by the number of their amount.

The areas you'll be using for the triangular prism are:

[tex]a = \frac{1}{2} bh[/tex]

and

[tex]a = lw[/tex]

since there are both rectangles and triangles in this figure.

Using the prism, then, it's time to make a formula.

[tex]2( \frac{1}{2} bh) + 2(lw) + lw[/tex]

I put a 2 in front of the triangle's area because there are 2 triangles in this prism.

There's a 2 in front of the side of the triangle's area (it's a rectangle) because it has two sides.

That last lw doesn't have a number on it because it's for the base, and this prism only has one base.

Now, use the dimensions that are given to you to substitute.

[tex]2( \frac{1}{2} )(14)(24) + 2(10)(25) + (10)(14) \\ 336 + 500 + 140 \\ 836 + 140 \\ 976[/tex]

So, 976cm^2 is your area.

Answer:

[tex]976 {cm}^{2} [/tex]

The second statement is the
of the first.
ab
baya
A. converse
B. contrapositive
C. inverse
D. contradiction

Answers

Answer: it is contrapositve

Question 4
How much water can this container hold? Use 3.14 to
approximate n. Round your answer to the nearest
hundredth.
267.95 cm3
2,143.57 cm
8 cm
100.48 cm3
535.89 cm
13​

Answers

Rounded to the nearest 100th is
2,143.57 cm^3

Which is not equivalent to this expression? 4(3x2+6x)

Answers

Answer:

6x (2x^2 + 4x), for it's not equal to 12x^2+24x.

Step-by-step explanation:

Answer:

6x (2x^2 + 4x), for it's not equal to 12x^2+24x.

Step-by-step explanation:

Express 5.43 x 10-4 in standard notation.

Answers

Answer:

0.000543

Step-by-step explanation:

since the exponent is -4, you have to move the decimal 4 places to the right to get 0.000543

will give brainliest if answer correctly!!

Answers

Answer:

A

Step-by-step explanation:

Sorry for the late response but the previous 2 answers lacked an explanation.

The sample space of an experiment / trial is the range of all outcomes from that experiment / trial. In this case, the trial is spinning the spinner. You might think that the answer is D because those are all of the possible outcomes you might get when spinning the spinner, however, some of the outcomes are repeated. In a sample space, each element of the sample space set is different, therefore, the answer is {1, 2, 3, 4} which is A.

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