Please show me step by step how to do this

Please Show Me Step By Step How To Do This

Answers

Answer 1

Answer:

You know that the beginning salary is $32,000, and it is raised by $1,000 per year.

a) We want to find a recursive relation, let's try to find a pattern:

S₁ = salary on the first year =  $32,000

S₂ = salary on the second year = $32,000 + $1,000 = $33,000

S₃ = salary on the third year = $33,000 + $1,000 = $34,000

and so on.

We already can see that the recursive relation is: "the salary of the previous year plus $1,000", this can be written as:

Sₙ = Sₙ₋₁ + $1,000

Such that S₁ = $32,000

b) Your salary in the fifth year is S₅

Let's construct it:

S₃ = $34,000

S₄ = $34,000 + $1,000 = $35,000

S₅ = $35,000 + $1,000 = $36,000

Your salary on the fifth year is $36,000

c) When we have a recursive relation like:

Aₙ = Aₙ₋₁ + d

The sum of the first N elements is given by:

Sum(N) = N*(2*A₁ + (N - 1)*d)/2

Then the sum of your salary for the first 20 years is:

S(20) = 20*(2*$32,000 + (20 - 1)*$1,000)/2

S(20) = $830,000


Related Questions

What is the surface area of this right rectangular prism glass slab with dimensions of 20 inches by 3 inches by 12 inches?
a.576
b.588
c.672
d.648

Answers

Answer:

C. 672

Step-by-step explanation:

Answer:

C) 672

Step-by-step explanation:

How many students are enrolled in a course either in calculus, discrete mathematics, data structures, 7. or programming languages at a school if there are 507, 292, 312, and 344 students in these courses, respectively; 14 in both calculus and data structures; 213 in both calculus and programming languages; 211 in both discrete mathematics 558 and data structures; 43 in both discrete mathematics and programming languages; and no student may take calculus and discrete mathematics, or data structures and programming languages, concurrently

Answers

Answer:

974

Step-by-step explanation:

Let assume that:

The set of student that took part in Calculus be = C

Those that took part in discrete mathematics be = D

Let those that took part in data structures be = DS; &

Those that took part in Programming language be = P

Thus;

{C} = 507

{D} = 292

{DS} = 312

{P} = 344

For intersections:

{C ∩ DS} = 14

{C ∩ P} = 213

{D ∩ DS} = 211

{D ∩ P}  =43

{C ∩ D} = 0

{DS ∩ P} = 0

{C ∩ D ∩ DS ∩ P} = 0

According to principle of inclusion-exclusion;

{C ∪ D ∪ DS ∪ P} = {C} + {D} + {DS} + {P} - {C ∩ D} - {C ∩ DS} - {C ∩ P} - {D ∩ DS} - {D ∩ P} - {DS ∩ P}

{C ∪ D ∪ DS ∪ P} = 507 + 292 + 312 + 344 - 14 - 213 - 211 - 43 - 0

{C ∪ D ∪ DS ∪ P} = 974

Hence, the no of students that took part in either course = 974

yo i really need help please in order to pass this i’ll give a brainliest to anyway who knows the correct answer please no links

Answers

all i know is that it would not be 13.9

Answer:

12in

Step-by-step explanation:

this is the only subject i'm good at in math XDDD.

was 10 years and 6 months old when I moved to Mumbai. have been living in Mumbai for the past 13

years 11 months. What is my age now?​

Answers

24 years and 5 months

add 13 years to ten get 23 add 6 to 11 to get 1 year and 5 months

23 plus 1 years and 5 months = 24 years an 5months

have a nice day please mark brainliest

Can someone help me with this question. Will Mark brainliest.

Answers

Answer:

Step-by-step explanation:

Joe has been riding his bicycle at a speed of 12 mph and has gone 48 miles. How long has he been riding?

Answers

Answer:

Joe's been riding 4 hours because if you divide 48 by 12 it gives you 4 and it's by hours so it would be 4 hours. point blank period.

Step-by-step explanation:

Find the missing side of this right triangle 8 16

Answers

Answer:

[tex]\boxed {\boxed {\sf b= \sqrt{192}}}[/tex]

Step-by-step explanation:

Since this is a right triangle, we can use Pythagorean Theorem to find the sides.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

In this triangle, 8 and x are the legs because they form the right angle. 16 is the hypotenuse because it is opposite the right angle.

[tex]a=8 \\c=16[/tex]

Substitute the values into the formula.  

[tex]8^2+b^2=16^2[/tex]

Solve the exponents.

8² = 8*8= 64 16²=16*16=256

[tex]64+b^2=256[/tex]

Subtract 64 from both sides to isolate the variable.

[tex]64-64+b^2= 256-64 \\b^2=192[/tex]

Take the square root of both sides.

[tex]\sqrt {b^2}=\sqrt{192}\\ b=\sqrt{192}[/tex]

The missing side is equal to √192

help wrong answers reported​

Answers

Answer:

65

Step-by-step explanation:

all triangles angles equal 180°

180-72-43=65

find the value of X, round to the nearest 10th

Answers

Answer:

4.0731 cm

Step-by-step explanation:

Use pythagorean Theorem which is a^2 + b^2 = c^2 where a and b are the sides of the triangle and c is the hypotenuse, in other words the longest side.

Since x is in line with the center of the circle and is perpendicular with line that measures 15.6 cm we know that one side of the triangle is half of 15.6 or 7.8.

So then we input our known values into the formula and solve for the missing one. The formula looks like this

7.8^2 + b^2 = 8.8^2

solve for b and you get about 4.07431

your very welcome

Answer:

X= 4.1

Step-by-step explanation:

Other answer wasn't rounded.

X= 4.1 cm

Can someone really help me!

Answers

A negative times a negative is a positive, so, 5-(-20)=?
5(20)
100

lets take number one for example,

When subtracting negative numbers, the (-) in the number (-20) cancels out the original minus sign, therefore, to answer the equation:

10 - (-20)

you would need to turn the equation into an addition problem, getting the equation:

10 + 20

and from there you can get the simple answer of:

30

(brainliest please)

PR and os are diameters of circle T. What is the

measure of SR?

50°

* 80°

• 100°

120

Answers

Answer:

100degrees

Step-by-step explanation:

Find the diagram attached

From the diagram

<PQT =<TRS = 40

Since the triangle STR is isosceles, here,

<TSR =<TRS = 40

Also the sum of angle in a triangle is 189, hence:

Arc SR+<TSR +<TRS = 18₩

ArcSR +40+40=180

ArcSR +80=180

ArcSR = 180-80

ArcSR = 100degrees

Hence the measure of SR is 100degrees

The measure of arc SR is 100°. The correct option is the third option - 100°

Calculating the measure of an Arc

From the question, we are to determine the measure of arc SR.

The measure of arc SR = <STR

Now, we will determine the measure of <STR

In the diagram, T is the center of the circle.

TP and TQ are radii.

Then, we can conclude that ΔPQT is an isosceles triangle.

Recall: Base angles of an isosceles triangle are equal.

∴ <PQT = <TPQ = 40°

Now, consider ΔPQT

<QTP + <TPQ + <PQT = 180° (Sum of angles in a triangle)

<QTP + 40° + 40° = 180°

<QTP + 80° = 180°

<QTP = 180° - 80°

<QTP = 100°

Also, in the diagram, <QTP and <STR are vertically opposite angles

NOTE: Vertically opposite angles are equal

That is, <QTP = <STR

∴ <STR = 100°

Hence, the measure of arc SR is 100°. The correct option is the third option 100°

Learn more on Calculating the measure of an arc here: https://brainly.com/question/3506007

Here is the complete and correct question:

Line PR and Line QS are diameters of circle T. What is the measure of Arc SR?

50°

80°

100°

120°

Please find the attached image

-2021
English
g
p
Which angles are corresponding angles? Select all that
apply.
o 21 and 23
5
3
7
6
4
8
26 and 28
22 and 28
25 and 27
22 and 27
23 and 26

Answers

Answer:

I'm not too sure what you mean but since there was no image I tried to look up how to tell if angles are corresponding based on angle degree and the most I got was the angles will be equal but only if there is a transversal cur but none of the answers equal each other

Step-by-step explanation:

so what advice I can give you is corresponding angles are usually the same degree but on a different level. like on the first parallel line there is an angle and on the second (or whatever) there is another angle (on the same side of the first) -meaning they will both be on the right or the left- and yeah there you go

if you have any questions comment and I'll try my best to help

what is the volume of the prism 8 1/2 m 7 m 4 m

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

Answer:

Step-by-step explanation:

Volume of prism = length * width * height  

                            = 8 1/2 *  7 * 4

                            [tex]= \frac{17}{2}*7*4\\\\=17 * 7 * 2\\\\= 238 cubic m[/tex]

find the 9th term in 3, -11, -25, -39

Answers

Answer:

-53

Step-by-step explanation:

Mrs. Wallace wants to buy 112 gallons of sour cream for a recipe. If sour cream is sold only in 1-pint containers, how many containers will she need to buy?

Answers

Answer:

896 containers

Step-by-step explanation:

Given that;

1 pint = 1 container

Convert 112 gallons to pint

1 pint x 0.125 gallons

x = 112gallons

Cross multiply

0.125x = 112

x = 112/0.125

x = 896 pints

Since sour cream is sold only in 1-pint containers, then the total container she will buy is 896 containers

Find the measure of each number: ​

Answers

Step-by-step explanation:

11. angles 1 and 2 are vertical angles, meaning they are congruent.

angle 2=angle 1=38 degrees

14. angles 1 and 2 are supplementary angles, meaning they add to 180 degrees.

angle 1=180-angle 2=180-67=113 degrees

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

Answers

Answer:

The answer is A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A is the correct answer on Edge

An airplane is at 32000 feet above sea level and the seeds at an average rate of 1000 feet per minute how many minutes will it take for the airplane to land at an airport 3000 feet above sea level

Answers

Answer:

29 minutes

Step-by-step explanation:

Let

x = number of minutes

y = the height of the airplane above sea level in feet

y = 32,000 - 1000x

y = 3,000

Therefore,

y = 32,000 - 1000x

3,000 = 32,000 - 1000x

3,000 - 32,000 = -1000x

-29,000 = -1,000x

x = -29,000 / -1,000

x = 29 minutes

it will take 29 minutes for the airplane to land at an airport 3000 feet above sea level

Is 41.77 a integer?

Answers

Answer:

nope, an integer must be a whole number, no fractions / decimals

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

An integer is a whole number or a number that is not a fraction or decimal. So, since 41.77 is a decimal it cannot be an integer. Examples of integers are 41 or -2.

8. The probability that a mature hen will lay an egg on a given day is 0.80. Hannah has 6 hens. Using the table, what is the probability that at
least 2 of the hens will lay eggs on a given day?
4
Number of Eggs
Probability
0
0.000064
1
0.002
2.
0.015
3
0.082
5
0.393
6
?
0.246

Answers

The answer is A hope that helps

Ariana orders 4 large pizzas and 1 order of breadsticks The total for her order is $34.46. Emily orders 2 large pizzas and 1 order of breadsticks. $18.48 is the total for her order. Determine the order for 1 large pizza and 1 order of breadsticks?

Answers

4p + 1b = 34.46
2p + 1b = 18.48

Solve either equation for b

2p + b = 18.48
b = 18.48 - 2p

Substitute into first equation
4p + 18.48 - 2p = 34.46
2p + 18.48 = 34.46
2p = 15.98
p = $7.99

Plug back into either equation to find cost of breadsticks

2(7.99) + b = 18.48
15.98 + b = 18.48
b = $2.50

One pizza + breadstick
$7.99 + $2.50
$10.49 :)

Whats the value of x????

Answers

Answer:

X = 23

Step-by-step explanation:

oppsosite angles are equal so the brackets equal 90 degrees like the right angle opposite.

90-21 = 69

69  / 3 = 23

x = 23

Answer:

23

Step-by-step explanation:

The equation on the left will equal to 90 due to it being congruent to the angle with the square. Therefore, make the equation out to be 3x+21=90 and subtract 21 from both sides and that will give you 69. Divide 69 by three which will leave you with x=23

the same ice cream shop is running a sale on cylindrical shaped tubs of ice cream. The cylinder has a radius of 4.5 cm and a height of 18 cm. Find the volume of a tub of ice cream​

Answers

Answer:

you got this

Step-by-step explanation:

I believe in you

Calculate the distance between point B (3,-7) and point C (0,8) on the coordinate grid

Answers

Answer:

Distance= 15.3

Step-by-step explanation:

Yes go if flt I could
x d

I WILL GIVE 10 POINTS AND BRAINLIEST WHO EVER ANSWERS FIRST The space capsule is moving up at a speed of 80 miles per hour a few seconds after launch. What is the space capsule's velocity per hour​

Answers

80 mph
.................

CAN SOMEONE answer this question please

Answers

Answer:

x = 18

y = 27

Step-by-step explanation:

Answer:

x = 18

y = 27

Step-by-step explanation:

Furaha pushes his rectangle next to Rahma's rectangle to form a new, longer rectangle. Draw an area model to show the new rectangle. Label the side lengths.

Answers

Answer:

See attachment

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the new model

From the question;

Furaha's model is: 6 by 4

Rahma's model is: 7 by 4

When Furaha's rectangle is pushed next to Rahma's, the new model becomes: (6 + 7) by 4

i.e. 13 by 4

See attachment 2

which fraction correctly represents 0.54

Answers

Answer:

27/50 is the fraction.

Step-by-step explanation:

Jenica bowls three games and scores an average of 116 points per game. She scores 105 on her first game and 128 on her second game. What does she need to score on her third game to get a mean score of ?

Answers

Answer:

230

Step-by-step explanation:230

Find the surface area.
24 in.
40 in.
10 in.
26 in.
NEED HELP ASAP!!

Answers

Answer:

200

Step-by-step explanation:

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