S(-2, 4) and T (3,9).

The midpoint is MC). The distance between S and T is about

The purchase value of an office computer is $12,500. Its annual depreciation is $1875. then the value of the computer after 6 years is

1250

What is the simple definition of depreciation?

The term depreciation refers to an accounting method used to allocate the cost of a tangible or physical asset over its useful life. Depreciation represents how much of an asset's value has been used.

The value of the computer is decreasing by $1875 annually per year. So the amount of decrease in 6 years is: 6×1875=$11250 6 × 1875 = $ 11250

now

The purchase value of an office computer is $12,500

therefore

12500- 11250

= 1250

learn more about of amount here

https://brainly.com/question/29994977

#SPJ4

Step-by-step explanation:

you're going to have to set up two expressions since it's an absolute value problem

The joint costs allocated to Product B is $240,000.

We must allocate joint costs based on the relative physical quantities produced by each product.

The total physical quantity produced by both products is:

= Quantity of A + Quantity of B

= 10,000 + 40,000

= 50,000 pounds

We will calculate the proportion of physical quantity produced by product A:

= Quantity of B / Total physical quantity

= 40,000 / 50,000

= 0.8

The amount of joint costs allocated to Product B is will be

= Total joint costs x Proportion of

= $300,000 x 0.8

= $240,000.

Read more about Joint cost

brainly.com/question/31392604

#SPJ1

Answer:

the bag contains $10.89.

Step-by-step explanation:

Let's start by using algebra to represent the number of coins in terms of one variable. Let x be the number of pennies in the bag. Then:

The number of nickels is 4 more than the number of pennies, so there are x + 4 nickels.

The number of dimes is 30% of the total, so there are 0.3 * 50 = 15 dimes.

The number of quarters is the remaining coins: 50 - (x + x + 4 + 15) = 31 - 2x.

To find the total amount of money, we need to multiply the number of each type of coin by its value and add them up. Using the values of the coins:

Pennies: x * $0.01

Nickels: (x + 4) * $0.05

Dimes: 15 * $0.10

Quarters: (31 - 2x) * $0.25

Adding these expressions and simplifying, we get:

Total = 0.01x + 0.05(x + 4) + 0.10(15) + 0.25(31 - 2x)

= 0.01x + 0.05x + 0.20 + 1.50 + 7.75 - 0.50x

= 0.06x + 9.45

Now we need to find x, the number of pennies. We know that 14% of the coins are pennies, so:

0.14 * 50 = 7 = x + (x + 4) + 15 + (31 - 2x)

Solving for x, we get:

7 = 50 - x - 19

x = 24

So there are 24 pennies, 28 nickels, 15 dimes, and 3 quarters in the bag. The total amount of money is:

Total = 0.06(24) + 9.45 = $10.89

Therefore, the bag contains $10.89.

a

0

=

4

a

i

=

a

i

−

1

+

7

XXXX

possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence

Explanation:

This is a simple arithmetic sequence with a difference of  

7

between ascending sequence terms.

Answer:

Step-by-step explanation:

Simplifying

-14 + 1 = rt + -4n

Combine like terms: -14 + 1 = -13

-13 = rt + -4n

Reorder the terms:

-13 = -4n + rt

Solving

-13 = -4n + rt

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '4n' to each side of the equation.

-13 + 4n = -4n + 4n + rt

Combine like terms: -4n + 4n = 0

-13 + 4n = 0 + rt

-13 + 4n = rt

Add '13' to each side of the equation.

-13 + 13 + 4n = 13 + rt

Combine like terms: -13 + 13 = 0

0 + 4n = 13 + rt

4n = 13 + rt

Divide each side by '4'.

n = 3.25 + 0.25rt

Simplifying

n = 3.25 + 0.25rt

Answer:

n = \(\frac{rt-q}{-10}\)

Step-by-step explanation:

your equation is -14n+q = rt-4n

subtract q from both sides: -14n = rt - 4n - q

add 4n to both sides: -10n = rt - q

divide both sides by -10: n = \(\frac{rt-q}{-10}\)

Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

Answer:

I think that answer is 13800

Step-by-step explanation:

One egg contains 17.88 mg of cholesterol, one cupcake contains 83.33 mg of cholesterol, and one slice of pizza contains 27.22 mg of cholesterol.

What is the linear equation?

Linear equations are the equations of degree 1. It is the equation for the straight line. The standard form of linear equation is ax+by+c =0, where a ≠ 0 and b ≠ 0.

Let's call the amount of cholesterol in one egg "x".

Then, the amount of cholesterol in one cupcake is "y" and the amount of cholesterol in one slice of pizza is "z".

From the first statement, we can set up the equation:

x + y + z = 302

From the second statement, we can set up another equation:

3y + 4z = 89

And from the third statement, we can set up a third equation:

3x + y = 844

Now we have three equations with three unknowns, so we can solve for the values of x, y, and z.

Starting with the third equation:

3x + y = 844

y = 844 - 3x

Next, we can substitute this expression for y in the first equation:

x + (844 - 3x) + z = 302

4x + z = -542

z = -542 - 4x

Finally, we can substitute these expressions for y and z in the second equation:

3y + 4z = 89

3(844 - 3x) + 4(-542 - 4x) = 89

2532 - 9x + -2168 - 16x = 89

536 - 25x = 89

25x = 536 - 89

25x = 447

x = 17.88

Hence, one egg contains 17.88 mg of cholesterol, one cupcake contains 83.33 mg of cholesterol, and one slice of pizza contains 27.22 mg of cholesterol.

To learn more about the linear equation visit,

https://brainly.com/question/26310043

#SPJ1

If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

The given function is:

f(x) = 1/2 (3 - x)²

To find the value of f(15), we need to substitute 15 for x in the function:

f(15) = 1/2 (3 - 15)²

Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:

f(15) = 1/2 (144)

f(15) = 72

Therefore, the value of f(15) is 72.

To learn more about functions from the given link:

https://brainly.com/question/12431044

#SPJ1

Answer: C

Step-by-step explanation:

\(\frac{3x^{2}-3}{x^{2}+3x}=\frac{3(x^{2}-1)}{x(x+3)}=\frac{3(x-1)(x+1)}{x(x+3)}\)
So, the original fraction is equal to

\(\frac{\frac{3(x-1)(x+1)}{x(x+3)}}{\frac{x+1}{x(x+3)}}=\boxed{3(x-1)}\)

Answer:

192.

Step-by-step explanation:

Since it is length x width x height, I would do 6 x 2 first since that's easier. So, 16 x 12 is 192.

Answer:

B

Step-by-step explanation:

If we dilate point P with point P as center, it would become a line parallel to line m

8/21 of the lawn still needs to be mowed.

To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.

Miss Lianto's fraction: (2/7) x (3/3) = 6/21

Son's fraction: (1/3) x (7/7) = 7/21

To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:

Combined fractions mowed: 6/21 + 7/21 = 13/21

So, Remaining fraction: 1 - 13/21 = 8/21

Therefore, 8/21 of the lawn still needs to be mowed.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ1

Answer:

number is 2

Step-by-step explanation:

let the number be n then 8 times the number is 8n, subtract 1 from this and

8n - 1 = 15 ( add 1 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

that is the number is 2

The perimeter of the shaded figure is 21.42 units.

Given that, radius of two congruent circles is 3 units.

Dimensions of rectangle are length=6 units and width=3 units.

The formula to find the arc length of a circle is θ/360° ×2πr.

Here, arc length = 90°/360° ×2×3.14×3

= 0.25×2×3.14×3

= 4.71

Arc length of two congruent circles = 2×4.71

= 9.42 units

Perimeter = 9.42+6+6

= 21.42 units

Therefore, the perimeter of the shaded figure is 21.42 units.

Learn more about the arc length here:

brainly.com/question/16403495.

#SPJ1

what you mean but heres the points on the map u were talking about

Answer: The slope m = 3/5

Step-by-step explanation:

The slope can be found by using the formula: m = y2 - y1 / x2-x1

Where m is the slope and (x1, y1) and (x2, y2) are the two points on the line.

x1 = 2  , y1 = 1

x2 = -3 , y2 = -2

Substituting the values from the points in the problem gives :

m = -2-1 / -3-2

m = 3/5

Hence, the slope that passes through (2, 1) and (-3, -2) is 3/5.

To know more about slopes, visit :

https://brainly.com/question/22057368

Answer:

the median is 45

Step-by-step explanation:

The computation of the median is as follows:

First arrange in a sequential order

34, 50, 44, 45, 45, 60, 57, 75

Now as we can see that there are 8 numbers

= n ÷ 2

= 8 ÷ 2

= 4 number

= 45

Hence, the median is 45

The same is relevant and considered too

Answer:

(a) 27 degrees (nearest degree)

(b) 17.9 m  (to one decimal place)

Step-by-step explanation:

Wow, that's along ladder, perhaps for the firemen!

From diagram,

(a)

sin(x) = 9 / 20 = 0.45

x = arcsin(0.45) = 26.74 degrees

(b)

height of wall ladder reaches

h = 20*cos(x) = 20*cos(26.74) = 17.86 m

Answer:

.2 repeating

Step-by-step explanation:

if you are allowed to use calculators, then do so, if not, you're going to have to do a lot of division

Answer:

0.22222222222222222.....

The answer is 0.2 and 2 is repeating

Step-by-step explanation:

This is the answer because:

1) If you divide 2 and 9, you will keep on getting 0.2222222 as your answer; therefore 0.2 is the repeating decimal.

Hope this helps!

Answer:

5pi/3x180grados/piradianes

900/3=300 grados

Step-by-step explanation:

Answer:

∠L = 51°

Hope this helps!

Step-by-step explanation:

Alternate exterior angles theorem

Answer:

$1,025

Step-by-step explanation:

(205000)(.015)/3  =  1025

James will receive or earn $1,025

The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2

By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.

The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.

Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:

1 + 1 = 2

Hence, based on the observed pattern, the next number in the sequence is 2.

Therefore, the completed list of numbers would be:

1, 1, 1, 2, 1, 4, 1, 2

For more such questions on numbers visit:

https://brainly.com/question/24644930

#SPJ8

Therefore the solution to the given problem is  the each of the congruent base angles is 70°

In Euclidean geometry, an angle is the figure generated by two rays, called the sides of the angle, sharing a common termination, called the vertex of the angle. Angles created by two rays are in the plane where the rays are located. The intersection of two planes also forms angles. We refer to these as dihedral angles.

Here,

As the triangle is an isosceles triangle therefore it will have 2 same angles

thus,

Sum of the 3 angles of a triangle=180°

Vertex angle =40°

Sum of two congruent angles=180°–40°=140°

Measure of each base angle=70°

Therefore the each of the congruent base angles is 70°

To know  more about angle , visit

https://brainly.com/question/28451077

#SPJ4

Answer:

31043.09

Step-by-step explanation:

answered on delta math and got it correct

Answer:

the ans is 105...........

Answer:

105

Step-by-step explanation:

-5*-3=15

15*7=105

Answer:

3.4×10⁴

Step-by-step explanation:

1.6×10⁴=1.6×10000=16000

5×10⁴=5×10000=50000

5000-16000=34000

=3.4×10⁴