Ken started a savings account for school. He plans on spending 10% of the money he earns for leisure activities. He needs to have $2,160 in the bank before he starts school. how much must he earn to have the amount needed for school?

Answers

Answer 1

Answer:

$2,400

Step-by-step explanation:

Ken intends to start a savings account

10% = leisure spending

This means 90% = Expenses for school

Let us represent the amount he must save as : x

Hence in other for him to have $2,160 in his savings account, the amount Ken must earn is calculated as:

90/100 × x = $2,160

Cross Multiply

90x = $2,160 × 100

x = ($2,160 × 100) ÷ 90

x =$2,400

Therefore, the amount Ken has to earn to have the amount needed for school is $2,400


Related Questions

WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST AND CORRECTLY. Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The flash drive already had 60 megabytes on it before the transfer, and an additional 4 megabytes were transferred onto it each second. Graph the relationship between the size of the files on Agent Hunt's drive (in megabytes) and time (in seconds).

Answers

Answer:

If you use a graphing calculator, at x= 0   (t =0)  the graph starts at 60 mb   and then climbs 4 mb per sec   (slope = 4 mb/sec)  from there until Agent Hunt gets caught and executed for espionage.

Hope this helps!

Help will give brainliest

Answers

Answer:

70

Step-by-step explanation:

Answer:

70 fewer refrigerators  than television

Step-by-step explanation:

a motor racing has a length of 5 5/6 a straight section of a circuit has a length 1 1/4 miles what fraction of the circuit is the straight section ? give your answer in the simplest form

Answers

Answer:

[tex]Fraction = \frac{3}{14}[/tex]

Step-by-step explanation:

Given:

[tex]Total\ Length = 5\frac{5}{6}[/tex]

[tex]Straight\ Section = 1\frac{1}{4}[/tex]

Required:

Fraction of the circuit that is straight section

To solve this, we simply divide the length of the straight section by the total length of the circuit;

This is done as follows;

[tex]Fraction = 1\frac{1}{4} / 5\frac{5}{6}[/tex]

Convert both fractions to improper fractions

[tex]Fraction = \frac{5}{4} / \frac{35}{6}[/tex]

Change division sign (/) to multiplication (*)

[tex]Fraction = \frac{5}{4} * \frac{6}{35}[/tex]

Combine to form a single fraction

[tex]Fraction = \frac{5*6}{4*35}[/tex]

[tex]Fraction = \frac{30}{140}[/tex]

Divide numerator and denominator by 10

[tex]Fraction = \frac{3}{14}[/tex]

Hence, the fraction of the straight section is; [tex]Fraction = \frac{3}{14}[/tex]

Apply the distributive property to factor out the greatest common factor. 21e+35 =? i need this awnser asap

Answers

Answer:

7

Step-by-step explanation:

21e + 35 can also be 7(3e+5) since 7 is the gcf of these terms

Which algebraic expressions are polynomials? Check all that apply. PLEASE HELP

Answers

Answer: B and E

Step-by-step explanation:

A polynomial is an algebraic expression of degree one variable and above.

A polynomial does not have negative in it exponent and cannot be divided by a variable.

Polynomial operations are addition, subtraction and multiplication. It also involves non-negative integer exponents of variables.

From the options given to you, only B and E are polynomials

subract 5 5/21 from 13 1/7

Answers

Answer:

The answer is 166/21, or 7 19/21

Step-by-step explanation:

First, you would set up the equation, which is:

13 1/7 - 5 5/21

Next, you would turn them into an improper fraction, which is:

92/7 - 110/21

Then, you would multiply 92/7 by 3/3 because that is the least common multiple for 21 and 7 (which are the denominators). When you are done multiplying, the equation would be:

276/21 - 110/21

Afterwards, you would subtract the numerators and leave the denominators alone, which gives you the answer 166/21. As a mixed number, this would equal 7 19/21.

Answer:

7 19/21

Step-by-step explanation:

13 1/7 - 5 5/21

Get a common denominator

13 1/7*3/3 - 5 5/21

13 3/21 - 5 5/21

We need to borrow 1 from the 13 in the form of 21/21

12 +21/21 + 3/21   - 5 5/21

12 24/21 - 5 5/21

7 19/21

Asher has about a probability of winning then Ethan has which could be the outcome that Ashlee needs to win the game select three options

Answers

Answer:

There are 36 total possible outcomes.

Rolling a sum of 11 or higher, there are 3 possible rolls, to make a 3/36 = 1/12 probability.

Rolling a sum of 4 there are also 3 possibilities, so the chance would be the same.

Rolling a sum of 9, there are 4 possibilities, which is a better chance.

Rolling a sum less than 5, there is 6 possibilities, which is a better chance.

Rolling greater than 5 but less than 7 means rolling a sum of 6, there are 5 chances, which is a better chance.

Rolling greater than 9 but less than 11, means rolling a 10, there are 3 possibilities, which is the same.

Rolling greater than 2 and less than 4 means rolling a 3, there are 2 possibilities, which is less.

The answers would be:

Rolling a sum of 9,

Rolling a sum less than 5

Rolling greater than 5 but less than 7

Answer:

There are 36 total

Step-by-step explanation:

If f = {(2,5), (3, 2) (4, 6), (5, 1), (7, 2)}, then f is a function.
True or false

Answers

Answer:

This function is True

Step-by-step explanation:

Since there is one value of  y  for every value of  x .

Why do you think it is important to consider both salary and benefits when applying for a job?

Answers

It is important to consider salary and benefits because you should consider how much money you need to buy necessities and a few things you want, but you should also look into whether the benefits can wave some of the necessity costs, such as health insurance, etc.

I need help I have been sitting for an hour trying to figured this out:(

Answers

Answer. C. -4 < -8

Explanation:

The other choices are not true statements, while -4 is less than -8

Answer:

This is really weird. None of them seem to be right.

For the first one, it says that -7.5 is greater than or equal to -6.4, which is not true. -7.5 is less than -6.4. The next one is the only one that makes a true comparison, but I don't agree with the "or equal to" part. -7/8 cannot be equal to 7/8. The next one is false, -4 is greater than -8. Finally, the last one is incorrect as well because -4.2 is less than -3.6.

However, if I had to choose one, I'd choose the second option. It's the closest to being correct.

The system of equations y = one-fourth x minus 5 and y = negative one-half x minus 3 is shown on the graph below. On a coordinate plane, 2 lines intersect around (2.8, negative 4.2). Which statement is true about the solution to the system of equations? The x-value is between 2 and 3, and the y-value is between –4 and –5. The x-value is between –4 and –5, and the y-value is between 2 and 3. The x-value is between –2 and –3, and the y-value is between 4 and 5. The x-value is between 4 and 5, and the y-value is between –2 and –3.

Answers

Answer:

The x-value is between 2 and 3, and the y-value is between -4 and -5

Step-by-step explanation:

The plot of the equations:

y = 1/4x - 5 (red)

y = -1/2x - 3 (blue)

is shown in the figure attached.

The solution to the system is found at the intersection point. In this case, the solution is x = 2.667 and y = -4.333

Answer:

it is A The x-value is between 2 and 3, and the y-value is between –4 and –5.

Step-by-step explanation:

solve the following system of equations: 2x+3y-z=1 3x+y+2z=12
x+2y-3z=-5

Answers

x=-3 y=19/7 z=7 i’m not sure but i think

Answer:

x=-3 y=19/7 z=7

Step-by-step explanation:

The number -5 can be described by which number type? irrational integer whole number natural number

Answers

Answer:

It is an integer.

Step-by-step explanation:

The number -5 is negative so it is not a whole number or a natural number.  It also isn't a decimal number or a fraction so it is an integer.  

Answer: Integer

Step-by-step explanation: you have to use your skills

2x-3y=21 -6x+2y=7 I also need to be shown how to solve this

Answers

Answer:

(-9/2 , -10)

Step-by-step explanation:

2x-3y=21

-6x+2y=7

Multiply the first equation by 3

3(2x-3y)=21*3

6x - 9y = 63

Add this to the second equation to eliminate x

6x - 9y = 63

-6x+2y=7

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

0x -7y = 70

Divide by -7

-7y/-7 = 70/-7

y = -10

Now find x

2x- 3y = 21

2x -3(-10) = 21

2x +30 =21

subtract 30 from each side

2x = 21-30

2x= -9

Divide by 2

x = -9/2

(-9/2 , -10)

[tex]\underline{\bigstar{\sf\ \ Answer :-}}[/tex]Given two equations of two variables x and y

Now lets solve it by elemination method !

[tex]:\implies\sf 2x-3y=21--------(1)\\ \\ \\ :\implies\sf -6x+2y=7-------(2)\\ \\ \\ \sf Eleminate\ (x) \\ \\ \\ \it Multiply\ first \ equation \ with \ 3\ \ \ and \ 2nd \ \ with \ 1 \\ \\ \\ :\implies\sf (2x-3y=21)\times 3 \\ \\ \\ :\implies\sf (-6x+2y=7)\times 1\\ \\ \\ :\implies\sf 6x-9y=63------(3) \\ \\ \\ :\implies\sf -6x+2y=7-----(4)\\ \\ \\ \it\ \ Add \ equation\ 3\ \ and \ 4\\ \\ \\ :\implies\sf 6x-9y=63+ (-6x+2y= 7)\\ \\ \\ :\implies\sf (6x-6x)+(-9y+2y) = 63+7\\ \\ \\ :\implies\sf 0-7y=70\\ \\ \\ :\implies\sf y= \cancel{\dfrac{70}{-7}}= - 10\\ \\ \\ :\implies\sf y= -10 [/tex]

★ Now find the value of x

let's substitute the value of y in equation 4

[tex]:\implies\sf -6x+2y=7\ \ \ \ \ \ (y= -10)\\ \\ \\ :\implies\sf -6x+2\times (-10)=7\\ \\ \\ :\implies\sf -6x-20= 7\\ \\ \\ :\implies\sf -6x = 7+20 \\ \\ \\ :\implies\sf x= \cancel{\dfrac{27}{-6}}= \dfrac{-9}{2}[/tex]

[tex]\underline{\textit{ \ \ So, \ the \ value \ of \ x\ and \ y }}[/tex]

[tex]\bigstar{\boxed{\sf x= \dfrac{-9}{2}}}[/tex]

[tex]\bigstar{\boxed{\sf\ y= (-10)}}[/tex]

A bag contains four yellow marbles, six red marbles, five blue marbles, six white marbles, and four black marbles. What is the theoretical probability of pulling a white marble from the bag? A. 4/25 B. 6/19 C. 4/21 D. 6/25

Answers

Answer: 6/25

Step-by-step explanation:

There are 6 white marbles out of 25 total marbles. So the probability of drawing a white marble is 6/25

Plzzzzz help fast 3x + 2 =y y=8

Answers

Answer:

2

Step-by-step explanation:

3x + 2 =y y=8

3x + 2=8

3x=6

x=2

Answer:

x = 2

Step-by-step explanation:

3x + 2 = 8

3x = 6

x = 2

Pls mark as brainliest!!

PLEASEEEEEE HELP ME 40 POINTS :((((((!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Deleted acc.. that’s sad I had the same work before

Answer:

hi

Step-by-step explanation:

What are the resulting coordinates of triangle D′E′F′ after reflecting triangle DEF across the y-axis? answers : A) D′(1,– 4), E′(3, –1), F′(5, –2) B) D′(–1, 4), E′(–3, 1), F′(–5, 2) C) D′(–1, 4), E′(3, 1), F′(5, 2) D) D′(–1, –4), E′(–3, –1), F′(–5, –2)

Answers

Answer:

the answer would be B

Step-by-step explanation:

by flipping it to the other side u will have the same numbers but some might be negative hoped it was right

Answer:

its B

Step-by-step explanation:

Solve the equation using the distributive property and properties of equality
1/2(x+6) = 18
What is the value of x?
6
7 1 / 1
141
30

Answers

Answer:

x = 30

Step-by-step explanation:

1/2(x+6) = 18

Distribute

1/2 x + 3 = 18

Subtract 3 from each side

1/2x +3-3 = 18-3

1/2x = 15

Multiply each side by 2

1/2x*2 = 15*2

x = 30

X=30
Distribute 1/2 to x and 6
Subtract 3 from both sides
Divide 1/2 on both sides

HELLO THERE. PLS HELP WITH GEOMETRY

Answers

Answer:

x = 114°

y = 27

Step-by-step explanation:

To get x, we simply subtract 66° from 180°. Because of same-side interior angles, the angle below x is 66°.

To find y, we set the expression equal to 66° because they are the same angle. When we solve for y, we get 27.

Answer:

x= 114,

y= 27

Step-by-step explanation:

x= 180 - 66 = 114

6y - 96 = 66, 6y= 66+96, 6y= 162, y= 162/6, y= 27

anyone help????? por favor

Answers

Answer:

A. x = 5, y = 6

Step-by-step explanation:

The directions tell you to do steps on the calculator, so I can't explain or show how to use it in the calc. But simply just plug it into the calc as a matrix and do rref.

Answer:

x= 5, y= 6

Step-by-step explanation:

5x - 4y = 1

4x - 2y =8

Multiply the second equation by -2

-8x + 4y = -16

Add this to the first equation

5x - 4y = 1

-8x + 4y = -16

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

-3x = -15

Divide by -3

-3x/-3 = -15/-3

x = 5

Now find y

4x -2y = 8

4(5) -2y = 8

20-2y = 8

Subtract 20

-2y = -12

Divide by -2

y = 6

What is 3(x+2)+2(x+2) ?

Answers

Answer:

5x +10

Step-by-step explanation:

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

Distribute

3x+6 +2x+4

Combine like terms

5x +10

Answer:

5x+10

simplified if you want: x+2

Step-by-step explanation:

3x+6+2x+4

5x+10

Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 70 miles per hour, while the truck heads south at
an average speed of 30 miles per hour. Find an expression for their distance apart d (in miles) at the end of thours.
At the end of t hours, the two vehicles are miles apart.
(Simplify your answer. Type an exact answer, using radicals as needed.)

Answers

Step-by-step explanation:

[70,30] = 210 miles per hour

d=76.157t is the expression for two vehicles, a car and a truck which were distance apart d (in miles) at the end of t hours.

Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 70 miles per hour, while the truck heads south at an average speed of 30 miles per hour. we need to find expression for their distance apart d at the end of t hours

What is distance?

Distance=Speed*Time

distance= speed * time.

*70t be the car traveling EAST at 60 miles per hour after t hours

*30t be the distance of the truck traveling SOUTH at 20 miles per hour after t hours.

*Use the Pythagorean Theorem to find the distance d.

The Pythagoras theorem states that sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse

d^2=(70t)^2+(30t)^2

d^2=4900t^2+900t^2

d^2=5800t^2

d=76.157t

Therefore d=76.157t is the required expression for their distance apart d (in miles) at the end of t hours.

To learn more about distance click here: https://brainly.com/question/12319416

#SPJ2

On a number line, the distance from zero to -8 is 8 units. Which equation demonstrates this concept? A. 82 = 64 B. |-8| = 8 C. |-8| = -8 D. 0 + 8 = 8

Answers

Answer:

Option B

Step-by-step explanation:

The absolute value of a number is how far a number is from zero. We can use ' | | ' to represent the absolute volume of a number.  The distance, or absolute value, of -8 is 8.

We can represent this by writing:

|-8| = 8

Option B should be the correct answer.

Answer:

B

Step-by-step explanation:

The absolute value of a number means the distance from 0.

For example, |-2| is 2 units from 0.

|-8| = 8

-8 is 8 units from 0.

A rectangle has sides measuring (3x + 2) units and (5x + 8) units.
Part A: What is the expression that represents the area of the rectangle? Show your work to receive
full credit. (4 points)
Part B: What are the degree and classification of the expression obtained in Part A? (3 points)
Part C: How does Part A demonstrate the closure property for polynomials? (3 points)

Answers

Answer:

A:

(4x+5)(3x+10)=

(12x^2) + (40x) + (15x) + (50)

12x^2 + 55x + 50

B: 2nd degree trinomial.

C:  it is demonstrated in part A because when we added it, the variable do not change and neither do the  exponents.  

Step-by-step explanation:

do not copy. used this on my test.

Plz plz plz help me Plz tell me the correct answer

Answers

Answer:

Question 1:

The smallest 5-digit no. is 10,000

The product of its prime factors is:

=> 10,000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5

Question 2:

The prime factors of 1729 are:

=> 1729 = 7 × 13 × 19

The relation between their 2 consecutive prime factor is that when they both are subtracted, they give the result 6

Such as :

=> 13-7 = 6

=> 19-13 = 6

Hope this helps!

Don't hesitate asking anything regarding this question!

Answer:

1. The smallest 5-digit number is: 10000

10000= 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5

2. 1729= 7 × 13 × 19

7= 6+1

13= 6*2+1

19= 6*3+1

The formula for the area of a triangle is a = zon, where b is the length of the base and h is the height.
Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.

Answers

Answer:

The height is 5 units

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

30 = 1/2 (12) h

30 = 6h

Divide each side by 6

30/6 = 6h/6

5 = h

The height is 5 units

The equations x + 5 y = 10, 3 x minus y = 1, x minus 5 y = 10, and 3 x + y = 1 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, negative 1) and (1, 2). Blue line goes through (0, 1) and (1, negative 2). Pink line goes through (0, 2), and (2, 1.5). Orange line goes through (negative 2, negative 2.5) and (2, negative 1.5).

Answers

Answer:

The question is missing, so I will answer all the solution for each possible system of two equations.

Step-by-step explanation:

The equations

x + 5 y = 10 (red)

3 x - y = 1 (blue)

x - 5 y = 10 (green)

3 x + y = 1 (purple)

are shown in the picture atatched. The intersection between two lines is the solution of their system.

system:

x + 5 y = 10 (red)

3 x - y = 1 (blue)

solution: (0.938, 1.813)

system:

x + 5 y = 10 (red)

x - 5 y = 10 (green)

solution: (10, 0)

system:

x + 5 y = 10 (red)

3 x + y = 1 (purple)

solution: (-0.357, 2.071)

system:

3 x - y = 1 (blue)

x - 5 y = 10 (green)

solution: (-0.357, -2.071)

system:

3 x - y = 1 (blue)

3 x + y = 1 (purple)

solution: (0.333, 0)

system:

x - 5 y = 10 (green)

3 x + y = 1 (purple)

solution: (0.938, -1.813)

Answer:

A.

Step-by-step explanation:

I just took the quiz :]

simplify the expression please

Answers

Answer: 6.75

Step-by-step explanation:

|6.75| = the absolute value of 6.75. The absolute value of a number is its distance from 0, which will always be positive. So |6.75| = 6.75.

Answer:

[tex]6.75[/tex]

Step-by-step explanation:

[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a[/tex]

[tex]\mathrm{a\ge 0}[/tex]

[tex]\left|6.75\right|=6.75[/tex]

Quadrilateral QRST is dilated by a factor of 2 with the center of dilation at the origin. What are the coordinates of quadrilateral Q′R′S′T′? answer: A) Q′ (–4, 4), R′ (4, 4), S′ (4, –4), T′ (–4, –4) B) Q′ (4, 4), R′ (–4, 4), S′ (–4, –4), T′ (4, –4) C) Q′ (–1, 1), R′ (1, 1), S′ (1, –1), T′ (–1, –1) D) Q′ (–3, 3), R′ (3, 3), S′ (3, –3), T′ (–3, –3)

Answers

Answer:

Q(-4,4)R' (4,4)S' (4,-4)T'(-4,-4)

Step-by-step explanation:

Given

Quadrilateral QRST

Dilated Factor  = 2

Required

Find the coordinates of Q'R'S'T'

To do this, we first have to identify the coordinates of QRST

[tex]Q = (-2,2)\\R = (2,2)\\S = (2,-2)\\T = (-2,-2)[/tex]

Being dilated by scale factor of 2 means we have to multiply each coordinates by 2; This is as shown below

Q'R'S'T' = 2 * QRST

Q' = 2 * (-2,2)

Q(-4,4)R' (4,4)S' (4,-4)T'(-4,-4)

Answer:a

Step-by-step explanation:

Q′ (–4, 4), R′ (4, 4), S′ (4, –4), T′ (–4, –4)

Other Questions
Which statement best describes the impact of abolitionist publications? Using the spreadsheet below, which formula can be used to determine Albert's hourly wage?21 Employee Hours Worked Amount Earned2 Albert$101.50Brandon19$147.25Callie$164.45Dora$157.500-average(B2:C2)O =average(C2:B2)O =(C2/B2)O =(B2/C2) A rectangle has a length 2 cm larger than its width.(a) If the perimeter of the rectangle is 14 cm, what are the dimensions of the reciangle?(b) If the area of the rectangle is 63 cmwhat are the dimensions of the rectangle?(a) The width of the rectangle is cm, and the length of the rectangle is cm.(Type an integer or a decimal)> Find the 8th term of the geometric sequence 3, -12, 48, ... 3. Students arrive at an ATM machine in a random pattern with an average inter-arrival time of 3 minutes. The length of transactions at the ATM machine is exponentially distributed with an average of 2 minutes. (a) What is the probability that a student arriving at the ATM will have to wait ead and choose the option with the best explanation of why it is important to learn Spanish as a banker. To write expense reports. To manage properties. To help foreign clients. To read safety report Production estimates for July are as follows: Estimated inventory (units), July 1 725 Desired inventory (units), July 31 1, 200 Expected sales volume (units), July 7,500 For each unit produced four hours of direct labor is required. The labor rate per hour is $15. The number of direct labor hours required for July production is:_________ Body armoring occurs when:_____.a. a person puts on a suit of armor.b. a person crosses his arms over his body because he feels threatened in some way.c. a person deliberately gains weight to deter romantic interest.d. a person puts up a shield during a game of fencing. The composite figure is made up of a triangle, a square and a trapezoid find the area Help please For the following function, construct a table. Andy has $7,411 in a savings account. The interest rate is 11%, compounded annually.To the nearest cent, how much interest will he earn in 2 years?Use the formula B = P(1 + r), where B is the balance (final amount), p is the principal(starting amount), r is the interest rate expressed as a decimal, and t is the time in years.SubmitPlease help :) Garden Corporation uses cost-plus pricing with a 30% mark-up. The company is currently selling 12,000 units at $21.45 per unit. Each unit has a variable cost of $11.50. In addition, the company incurs $60,000 in fixed costs annually. If demand falls to 10,000 units, how much will the company have to charge per unit in order to earn the same annual profit Find the maximum and minimum values by evaluating the equation, C = 4x - 3y at the critical points of the restrictions include the following (picture)a. minimum: -32; maximum: 45b. minimum: -45; maximum 32c. minimum: -45, maximum: -32d. minimum: 32; maximum: 45 20 Find the area of the rectangle given thatthe perimeter is 50 cm.3m + 2m - 5F 32G 7H 46J 9 Consider the ski gondola from Question 3. Suppose engineers decide to reduce the risk of an overload by reducing the passenger capacity to a maximum of 15 skiers. Assuming the maximum load limit remains at 5,000 lb, what is the probability that a group of 15 randomly selected skiers will overload the gondola Firm A's demand for a product is 15 units per month. Its supplier charges an ordering cost of $5 per order and $10 per unit with a 10% discount for orders of 15 units or higher. Firm A incurs a 25% annual holding cost. What is Firm A's annual ordering costs if it orders at a quantity of 28 units? i dont understand, help? A carton contains 20 shirts, of which q are made of pure cotton. After 4 more pure cotton shirts are added to the carton, the probability of drawing a pure cotton shirt becomes 3/4, find the value of q. Suppose you sold a futures contract on gold 3 months ago when the futures price was $1,350 per ounce. Each contract is on 100 ounces of gold. The contract is closed out today. The current futures price is $1,340. Part a. What was your position? Part b. What was the buyers position?Part c. Calculate your loss/gain on the contract A company purchased a computer system at a cost of $25,000. The estimated useful life is 8 years, and the estimated residual value is $6,000. Assuming the company uses the double-declining-balance method, what is the depreciation expense for the second year