Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the explicit rule for this sequence in simplified form?

Mr. Red's First Year Salary Is $30,000 And It Increases By $500 Each Year. What Is The Explicit Rule

Answers

Answer 1

Answer:

d

Step-by-step explanation:

Answer 2

The explicit rule for this sequence in simplified form is,

⇒ [tex]a_{n}[/tex] = 500n + 30,000

Where, n is number of months.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Mr. Red's first year salary is $30,000 and it increases by $500 each year.

Now, Let number of months = n

We can formulate explicit rule for this sequence in simplified form as,

⇒ [tex]a_{n}[/tex] = 500n + 30,000

Therefore, The explicit rule for this sequence in simplified form is,

⇒ [tex]a_{n}[/tex] = 500n + 30,000

Where, n is number of months.

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Related Questions

2. Evaluate the function rule for the given value. y = 4.2 for x = -6​

Answers

Answer:
y= 4 x 2(6)
y= 4 x -12
y= -48
Step-by-step explanation:
y= 4 x 2(6)
y= 4 x -12
y= -48

6. In June, Clarissa used 1 gigabytes
of data on her cell phone. Given that
June has 30 days, how much data did
she use on average per day?

Answers

Answer:

33.33 megabytes per day on average.

Step-by-step explanation:

Ratio and Proportion

If 30 days = 1 Gb
Then 1 day = 1/30 = 0.033333GB
0.033333GB = 33.333 MB
Hence she used 33.333MB each day

Chicago is home to 2.706 million people and the city sees approximately 55 million visitors each year. China has a population of 1.393 billion. If their visitors were proportional to Chicago, how many visitors could China expect? Write your answer in scientific notation rounded to two decimal places. Provide your answer below: x 10^ visitors

Answers

China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago.

How to apply direct proportions

A direct proportion is a direct relationship between two variables, which in this case is represented between the quantity of tourists in the city of Chicago and the population of the country of origin.

Let suppose the existence of direct proportionality and world has a population of 9000 million people, the quantity of Chinese visitors in the city of Chicago is determined by the following formula:

x = (1.393 × 10⁹ / 9 × 10⁹) × 55 × 10⁶

x = 8.512 × 10⁶

China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago. [tex]\blacksquare[/tex]

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please help meeeeeeeee worth a bunch of points

Answers

Answer:

220

Step-by-step explanation:

first u gotta bla bla bla

Answer:

137°

Step-by-step explanation:

a straight line is 180°

x = 180 - (22 + 21)

x = 180 - 43

x = 137

Find the domain of
[tex]y = \frac{1}{(1 - \sin(x) } [/tex]

Answers

Let's see

Denominator must not be equal to zero or the function becomes undefined

[tex]\\ \rm\rightarrowtail 1-sinx\neq 0[/tex]

[tex]\\ \rm\rightarrowtail sinx\neq 1[/tex]

[tex]\\ \rm\rightarrowtail x\neq \dfrac{n\pi}{2}[/tex]

So

[tex]\\ \rm\rightarrowtail Domain\in R-\left\{\dfrac{n\pi}{2}\right\}[/tex]

How do I do this this folks?

Answers

for the answer most likey it would be from the range of 88 to 66 that would make a little sence corecct me if im wrong

Step-by-step explanation:

What is the quotient if 2/4 of 40 is divided by 4/5 of 5/7?

Answers

Answer:

2/4 * 40 4/5 * 5/7 = 102/

7

= 14 4/

7

≅ 14.5714286

Step-by-step explanation:

To find a new numerator:

a) Multiply the whole number 40 by the denominator 5. Whole number 40 equally 40 * 5/

5

= 200/

5

b) Add the answer from previous step 200 to the numerator 4. New numerator is 200 + 4 = 204

c) Write a previous answer (new numerator 204) over the denominator 5.

Forty and four fifths is two hundred four fifths

Multiple: 2/

4

* 204/

5

= 2 · 204/

4 · 5

= 408/

20

= 102 · 4/

5 · 4

= 102/

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(408, 20) = 4. In the following intermediate step, cancel by a common factor of 4 gives 102/

5

.

In other words - two quarters multiplied by two hundred four fifths = one hundred two fifths.

Multiple: the result of step No. 2 * 5/

7

= 102/

5

* 5/

7

= 102 · 5/

5 · 7

= 510/

35

= 102 · 5/

7 · 5

= 102/

7

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(510, 35) = 5. In the following intermediate step, cancel by a common factor of 5 gives 102/

7

.

In other words - one hundred two fifths multiplied by five sevenths = one hundred two sevenths.

Solve: |x+2|=3

Can someone explain how to do this

Answers

Hey there!

ORIGINAL EQUATION:
|x + 2| = 3

TRANSLATE:

x + 2 = 3 or x + 2 = -3


SOLVING for: x + 2 = 3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = 3 - 2

CANCEL out: 2 - 2 because it give you 1

KEEP: 3 - 2 because help solve for the current x-value

NEW EQUATION: x = 3 - 2

SIMPLIFY IT!
x = 1


Thus, your answer is: x = 2

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\


SOLVING for: x + 2 = -3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = -3 - 2

CANCEL out: 2 - 2 because it give you 0

KEEP: -3 - 2 because it help solve for the current x-value

NEW EQUATION: x = -3 - 2

SIMPLIFY IT!
x = -5

Thus, your answer is: x = -5

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\


Therefore, your answer is: x = 1 or x = -5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

What is the surface area of this rectangular prism?

198 in²

312 in²

396 in²

504 in²
rectangular prism with length labeled 7 inches, width labeled 6 inches, and height labeled 12 inches

Answers

504in2
LxWxH
7x6x12=504in2

Answer:

it's 396

Step-by-step explanation:

I took the k-12 quiz math Surface Area quiz

3
Andre sold 43 magazines at his mom's work, 32 at his dad's work, 18 around his
neighborhood, and 3 at home. What is the mean of the magazines he sold?

Answers

Answer:

The mean is 24 ( I think)

Step-by-step explanation:

SO in all, there were 96 magazines sold. So if there are just those 4 categories divide the 96 by 4. 96 divided by 4 = 24.

The mean of magazines he sold is 24

5th root of 0.06
please I need fast only answer ​

Answers

Answer: 0.56967905

Steps:
Raise 0.06 to the power of 1/5

0.56967905

The zoo has 14 penguins. There are 6 more penguins than lions. How many lions are at the zoo?

Answers

Answer:

8 lions

Step-by-step explanation:

We need to subtract!!

14 - 6 = 8

Have an amazing day!!

Please rate and mark brainliest!!

Step-by-step explanation:

let the number of penguins be X and the number of lions be Y. then X=14 and since there are more penguins than lions the equation will be X=Y+6

Substitute 14 instead of X. 14=Y+6

and now shift 6 to the left 14-6=Y

then the answer should be 8lions

-7/3y-2/9=1/3 solve for y

Answers

Answer:

y = -12

Step-by-step explanation:

-7/3y - 2/9 = 1/3

cross multiple for 1/3:

-21/3y - 6/9 = 1

cross multiply for 3y and 9:

-21 - 6 = 3y + 9

3y + 9 = -27

3y = -36

y = -12

The cone shaped roof has the height of 30ft and the radius of 15ft find it's lateral area and the surface area

Answers

Answer:

Lateral surface area of cone is 1580 feet²Surface area of cone is 2287 feet²

[tex]\\[/tex]

Step-by-step explanation:

Given that Height of cone shaped roof is 30 ft and radius is 15 ft.

To calculate the lateral surface area and Surface area of the cone we will use the formula given below:

[tex]\\[/tex]

[tex]\star \: { \underline { \boxed { \purple{ \pmb { \sf{Lateral \: surface \: Area _{(cone)} = \pi rl}}}}}}[/tex]

[tex]\\[/tex]

[tex]\star{\underline{ \boxed{ \purple{ \pmb { \sf{Surface \: area _{(cone)} = \pi rl + \pi {r}^{2} }}}}}}[/tex]

[tex]\\[/tex]

Finding the Slant height of the cone:

[tex]\dashrightarrow \: \:L = \sqrt{ {(r)}^{2} + {(h)}^{2} } \\ [/tex]

[tex] \dashrightarrow \: \: L = \sqrt{225 +900 } \\ [/tex]

[tex] \dashrightarrow \: \: L = \sqrt{1125 } \\ [/tex]

[tex]{ \dashrightarrow \: \: { \pink{ \boxed { \: L = 33.541 }}}}\\ [/tex]

Hence, Slant height of cone is 33.54 feet.

Substituting values in above formula:

[tex]\dashrightarrow \: \: LSA = \pi rl \\ [/tex]

[tex]\dashrightarrow \: \: LSA = \dfrac{22}{7} \times 15 \times 33.54 \\ [/tex]

[tex]\dashrightarrow \: \: LSA = \dfrac{22 \times 15 \times 33054}{7} \\ [/tex]

[tex]\dashrightarrow \: \: LSA = \dfrac{11068.2}{7} \\ [/tex]

[tex]\dashrightarrow \: \:{ \boxed { \pmb{ \sf {\pink{ LSA \: \approx1580 \: {ft}^{2}}}} }} \\ [/tex]

[tex]\\[/tex]

Hence, Lateral surface area of cone is 1580 feet²

Now, Calculating surface area:

[tex]\dashrightarrow \: \:SA = \pi rl + \pi {r}^{2} \\ [/tex]

[tex]\dashrightarrow \: \:SA = \pi (15)(33.54) + \pi {(15)}^{2} \\ [/tex]

[tex]\dashrightarrow \: \:SA = \pi(503.1) + 22 5 \pi \\ [/tex]

[tex]\dashrightarrow \: \: SA = 728.1 \pi \\ [/tex]

[tex]\dashrightarrow \: \:SA = 728.1 \times 3.14 \\ [/tex]

[tex]\dashrightarrow \: \:{ \boxed{ \pmb{ \pink{ \sf{SA \approx2287 \: {ft}^{2} }}}}} [/tex]

[tex]\\[/tex]

Hence, surface area of cone is 2287 feet²

!!20 POINTS!!
Find the value of X. Round to the nearest tenth

Answers

The answer. Is 40 because remember the formula

15+45+6+834+32453+853=

Answers

Answer: Your solution is 34206

Hope this helps you!!!!

PLSS ANSWER

Round each fraction to help you estimate the solution for the equation.

three sixths plus three sixths

A. 0
B. one half
C. 1
D. one and one half

Answers

[tex] \frac{3}{6} = three \: sixths[/tex]

[tex] \frac{3}{6} + \frac{3}{6} = \frac{3 + 3}{6} = \frac{6}{6} = 1[/tex]

Letter C

Find the equation that passes through the points (8,10) and (4,5). Give your results using function notation

Answers

Answer:

  f(x) = 5/4x

Step-by-step explanation:

The equation of the line can be found using the 2-point form of the equation of a line:

  y -y1 = (y2 -y1)/(x2 -x1)(x -x1)

This can be rearranged to the desired funtional form.

__

Using the given points (x1, y1) = (8, 10) and (x2, y2) = (4, 5), we have ...

  y -10 = (5 -10)/(4 -8)(x -8)

  y = (-5/-4)(x -8) +10 = (5/4)x . . . . . add 10 and simplify

The equation can be written ...

  f(x) = 5/4x

Find the area of the figure

Answers

Answer:

100 mm

Step-by-step explanation:

this right awnser

Answer:

Formula for area of circle (since two semi circles form a full circle);

a = π[tex]r^{2}[/tex]

First, figure out our radius,

D/2 = Radius

10/2 = 5 is our radius.

Plug in your values:

a = π[tex]r^{2}[/tex]

a = 3.14(5^5)

a = 3.14(25)

a = 78.5 is the area of the two semi circles.

Now the square;

A = L x W

A = 10(10)

A = 100.

Add your areas;

78.5 + 100

= 178.5 mm2

b) The following patterns are made using small squares.
Pattern 1
Pattern 2
Pattern 3
Write an expression for the number of small squares in pattern n.
Write your answer in the form (n + a)? + b or an? + bn + C where a, b and care integers.

Answers

Answer:

(N+2)^2+6

Step-by-step explanation:

A coin is flipped 8 times. Find the probability of the event:
exactly 6 heads
A.0.4375
B.0.75
C.0.0039
D.0.109

Answers

b. 0.75 because if you flip it 8 times and get heads 6 times, the probability would be 6/8 and that would simplify to 3/4 (0.75).

Answer:

D. 0.109

Step-by-step explanation:

Just did the test, its not B

Complete the inequality.
(-9/8)/(-2 3/4) ? 3/22
>
<
=

Answers

Answer:

(-3/8)/(-2 3/4) = 3/22  

Step-by-step explanation:

Solve the following;

[tex]\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}[/tex]

[tex]=\frac{\left(-\frac{3}{8}\right)}{\left(-\frac{11}{4}\right)}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}[/tex]

[tex]=\frac{\frac{3}{8}}{\frac{11}{4}}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]

[tex]=\frac{3\cdot \:4}{8\cdot \:11}[/tex]

[tex]\frac{3}{22}[/tex]

Thus, [tex]\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}[/tex] = [tex]\frac{3}{22}[/tex]

~Learn with lenvy~

Write a qbasic progrsm to check pass or fail​

Answers

Step-by-step explanation:

CLS

INPUT " Enter total marks "; M

IF M > 40 THEN

PRINT "You are passed "

ELSE

PRINT " You are failed "

END IF

END..

wait hihfedhsdkfsffsdf

Answers

Pain au chocolat dur main

giving brainliest+50 points!!

What is the five-number summary of this data set?

{852, 687, 515, 986, 907, 784, 967, 685, 965}

Drag the numbers into the boxes to correctly complete the five-number summary.

Minimum
Q1
Q2
Q3
Maximum

Answers

Answer:

the 852 is the perfect fit q3

Step-by-step explanation:

The five-number summary of this data set are minimum is 515, maximum value is 986, Q₁ is 686, Q₂ is 852 and Q₃ is 966.

What is Median?

Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order. It is also called second quartile.

Given data set is,

{852, 687, 515, 986, 907, 784, 967, 685, 965}

Arrange this in ascending order first.

{515, 685, 687, 784, 852, 907, 965, 967, 986}

Minimum value = 515

Maximum value = 986

First we have to find the median or the second quartile.

Second quartile, Q₂ = Middle element of the set

Q₂ = 5th element = 852

First quartile = 1/4 (n + 1)th element = 1/4 (9 + 1) = 2.5 th element

Q₁ = (685 + 687) / 2 = 686

Third quartile = 3/4(n + 1)th element = 3/4 (9 + 1) = 7.5th element

Q₃ = (965 + 967) / 2 = 966

Hence the five-number summary of this data set are found.

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help me please, need answer quick

Answers

Answer:

Option D is correct

The answer is 42 square unit.

Step-by-step explanation:

Given;a = 9 unitsb = 12 unitsh = 4 unitsTo Find;Area of TrapezoidFormula;Area = ½ (a + b) × h

Now,

A = ½ (a + b) × h

A = ½ (9 + 12) × 4

A = (21) × 2

A = 42 square unit

Thus, The estimated area of the Trapezoid is 42 square unit.

-TheUnknownScientist 72

A cube has a side length of 5 centimeters. What is its surface area of the cube?

Answers

total surface area of the cube = 6.x^2.

= 6. (5)^2 cm^2

= 150cm^2. Answer.

Answer:

A = 150cm²

Step-by-step explanation:

A=6a2=6·52=150cm²

SOLVE please I need it fast it’s for 20 points so please

Answers

Step-by-step explanation:

I hope its helped ?? huhuhu sorry if im wrong:)

Could someone help me with this?

Answers

Step-by-step explanation:

Identity the variable:

Initial Velocity is 35.

Initial Height is 204

Final Height is 0.

What looking for the time.

So we have

[tex]0 = - 16 {t}^{2} + (35)t + 204[/tex]

Use Quadratic Formula,

[tex] - b± \frac{ \sqrt{b {}^{2} - 4ac} }{2a} [/tex]

A is -16, B is 35 , C is 204.

So we have

[tex] - 35± \frac{ \sqrt{ {35}^{2} - 4( - 16)(204) } }{ - 32} [/tex]

[tex] - 35± \frac{ \sqrt{1225 + 2240} }{ - 32} [/tex]

[tex] - 35± \frac{ \sqrt{3465} }{ - 32} [/tex]

[tex]{35} ± \frac{ \sqrt{3465} }{ - 32} [/tex]

The positve solution is

[tex]4.83[/tex]

So the answer is 4.83 seconds

I = PRT

C = 2r A = r2

Answers

Answer: Calculate Total Amount Accrued (Principal + Interest), solve for A. A = P(1 + rt)

Calculate Principal Amount, solve for P. P = A / (1 + rt)

Calculate rate of interest in decimal, solve for r. r = (1/t)(A/P - 1)

Calculate rate of interest in percent. ...

Calculate time, solve for t

Step-by-step explanation:

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