The value of computer decreases with its age until it is worth nothing a computer that was purchases new for 0 years is worth 2220 1540 after 6 years problem whats the value after 8 years and what is the linear function V(x)

Answers

Answer 1

Answer:

[tex]V(x) = -\frac{340}{3}x +2220[/tex]

[tex]V(8) = 1313.3[/tex]

Step-by-step explanation:

Given

Let x represent years and V represents the value.

So, we have:

[tex](x_1,v_1) = (0,2220)[/tex]

[tex](x_2,v_2) = (6,1540)[/tex]

Solving (a): The linear function

First, we calculate the slope (m)

[tex]m = \frac{v_2 - v_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{1540-2220}{6-0}[/tex]

[tex]m = \frac{-680}{6}[/tex]

[tex]m = -\frac{340}{3}[/tex]

The linear function is calculated using:

[tex]v - v_2 = m(x - x_2)[/tex]

Where:

[tex](x_2,v_2) = (6,1540)[/tex]

[tex]m = -\frac{340}{3}[/tex]

So, we have:

[tex]v - 1540 = -\frac{340}{3}(x - 6)[/tex]

Open bracket

[tex]v - 1540 = -\frac{340}{3}x +\frac{340}{3}* 6[/tex]

[tex]v - 1540 = -\frac{340}{3}x +680[/tex]

Make v the subject

[tex]v = -\frac{340}{3}x +680+1540[/tex]

[tex]v = -\frac{340}{3}x +2220[/tex]

So, the function is:

[tex]V(x) = -\frac{340}{3}x +2220[/tex]

Solving (b): When x = 8

Substitute 8 for x in [tex]V(x) = -\frac{340}{3}x +2220[/tex]

[tex]V(8) = -\frac{340}{3}*8 +2220[/tex]

[tex]V(8) = -\frac{340*8}{3} +2220[/tex]

[tex]V(8) = -\frac{2720}{3} +2220[/tex]

Take LCM

[tex]V(8) = \frac{-2720+2220*3}{3}[/tex]

[tex]V(8) = \frac{-2720+6660}{3}[/tex]

[tex]V(8) = \frac{3940}{3}[/tex]

[tex]V(8) = 1313.3[/tex]

Hence, its value after 8 years is 1313.3


Related Questions

Hrozmarly needs to evaluate the following expression y^2-x^2 when y=9 and x=2. Her answer should be?

i am in 6 grade

Answers

Answer:

Step-by-step explanation:

y^2 -x^2=

y^2=9^2=81

x^2=2^2=4

81-4=77

Which of the following pairs of inequalities are equivalent

x-5> 4 and 2x-10 >8

x- 5 >4 and 2x +10 >8

x+5 >4 and 2x+10 <8

ALL​

Answers

Answer:

(a): [tex]x-5> 4[/tex] and [tex]2x-10 >8[/tex]

Step-by-step explanation:

Given

Pairs of inequalities

Required

Select which is equivalent

(a): [tex]x-5> 4[/tex] and [tex]2x-10 >8[/tex]

Multiply both sides of [tex]x-5> 4[/tex] by 2

[tex]2 * (x - 5) > 4 *2[/tex]

[tex]2 * x - 2*5 > 4 *2[/tex]

[tex]2x - 10 > 8[/tex]

Hence: [tex]x-5> 4[/tex] is equivalent to [tex]2x - 10 > 8[/tex]

(b): [tex]x-5> 4[/tex] and [tex]2x+10 >8[/tex]

Multiply both sides of [tex]x-5> 4[/tex] by 2

[tex]2 * (x - 5) > 4 *2[/tex]

[tex]2 * x - 2*5 > 4 *2[/tex]

[tex]2x - 10 > 8[/tex]

Hence: [tex]x-5> 4[/tex] is not equivalent to [tex]2x+10 <8[/tex]

(c): [tex]x+5> 4[/tex] and [tex]2x+10 <8[/tex]

Multiply both sides of [tex]x+5> 4[/tex] by 2

[tex]2 * (x + 5) > 4 *2[/tex]

[tex]2 * x + 2*5 > 4 *2[/tex]

[tex]2x + 10 > 8[/tex]

Hence: [tex]x+5> 4[/tex] is not equivalent to [tex]2x+10 <8[/tex]

Take a look at the blue function below. The dashed green function is its parent
function. Are these sine or cosine functions?
1
2TT
-1
Sine
ОО
Cosine

Answers

Answer:

Step-by-step explanation:

They are both sine functions. The blue one is multiplied by 2 and shifted down one.

blue:  y = 2 * sin(theta) - 1

green: y = sin(theta)

I'm not sure what the answers mean.

4xy = 88. If y = 2, then what is x?

Answers

Answer: x = 11

Step-by-step explanation:

first, i did simple calculations.

4x(2) = 88

that calculates out to:

8x = 88

then, i divided both sides by 8, in order to get x by itself.

8x/8 = 88/8

x = 11

Evaluate the expression for the given value of the variable.
29 + 5/6r
r = -1/2
find r

Answers

Hey there!

The solution to your question is

We simply plug the "r" value into the equation and solve:

29 + (5/6)(-1/2)

29 + -5/12

28 7/12

Hope it helps! Have an amazing day, and remember, You've got this!

Sandy noticed there was a sale going on at Target. She decides to buy a blanket that has a price of $26.80. If the blanket is on sale for 30% off, how much will the blanket be after the discount?

Answers

Answer:

18.76

Step-by-step explanation:

help me pls what is 3(3)+1

Answers

Answer:its 10 :)

Step-by-step explanation:

Eva swims 1/2 of a mile in 1/4 of an hour. How far will she swim in 1 hour?

Answers

Answer:

2 miles branliest pls

Step-by-step explanation:

Answer:

2miles in 1 hour

Step-by-step explanation:

miles  hours

1/2        1/4

1           2/4

1 1/2      3/4

2          4/4

Add.
-7+ (-1) =
need asap

Answers

Answer:

The answer is -8

On Monday, Aisha spent 5 over 6 of an hour practicing the violin. On Tuesday, she practiced for 2 over 3 of an hour. Which equation shows correctly how much longer she practiced on Monday than on Tuesday?

Answers

Answer: 1/6

Step-by-step explanation:

5/6 - 4/6 = 1/6

Answer:

1

-

6

Step-by-step explanation:

Jason bought a soft drink for 2 dollars and 8 candy bars He spent a total of 26 dollars how much did each candy bar cost

Answers

Answer: Each candy bar cost him 3$

Step-by-step explanation:

First you subtract 26-2 to get 24. This is since he purchased the drink for 2$. Now he uses the 24 dollars to buy 8 candy bars, to figure how much each is you have to divide. You divide 24 by 8 in order to get 3.

Answer:

$3

Step-by-step explanation:

Sheila leaves on a trip driving at 30 miles per hour. Two hours later, her sister Allison starts from the same location driving at 60 miles per hour. How long after Allison leaves home will she catch up to Sheila?


2 hours

4 hours

3 hours

5 hours

Answers

Answer:

2 hours

Step-by-step explanation:

2 hours

Pls give me BRAINLIEST

Willam fills 1/3 of a water bottle in 2/5 of a minute. How much time will it take him to fill the bottle?​

Answers

Answer:

1/2 of a minute

Step-by-step explanation:

Answer:

Willam fills 1/3 of a water bottle in 2/5 of a minute. How much time will it take him to fill the bottle

Step-by-step explanation:

Willam fills 1/3 of a water bottle in 2/5 of a minute. How much time will it take him to fill the bottle

I need help with this question

Answers

Answer:

Equal

Step-by-step explanation:

After dilation, the shape of the original figure is maintaine. Only the size changes.

Consequently, the side lengths of both figures would be proportional to each other. This implies that the ratios of the corresponding side lengths of the original figure and the new figure would be equal.

4+2(7)=

Evaluate
can someone plz help im confused

Answers

Answer:

4+14= 18 this is the answer

Step-by-step explanation:

2(7)=14+4=18

you multiply the 2 and 7 and then add the 4

Answer:

18

Step-by-step explanation:

what this wants you do do is use PEMDAS. the number in parentheses always means to multiply. first youre gonna multiply 2 by 7 which gives you fourteen. then add 4 to 14 which gives you 18.

hope this helped! <3

Complete 55%
Record: 1/5 Score: 1 Penalty: None
Tiana Lott
Write Single Inequality from Context
Jan 15, 11:07:31 AM
?
Michael has n nickels and d dimes. He has no more than 20 coins altogether. Write
this situation as an inequality.
Anstrer
Setomít. Arower
>
attentiota
E
Type here to search

Answers

uh what??????? ......

how many solutions are there for
x-2y=6
3x-6y=18

Answers

Answer:

This is for solving x is x=6+2y and solving for y is y=-6-x/2

they both are the same

Step-by-step explanation:

Urgent please help..

Answers

Answer:

y=[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\frac{6}{sin45} =\frac{x}{sin45} \\x=6\\\\y^{2}=6^{2} +6^{2} \\y=\sqrt{72} \\y=6\sqrt{2}[/tex]

The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire? Please leave a detailed explanation of how you got your answer!! Thank You!

Answers

Answer:

22.91 inches

Step-by-step explanation:

circumference = 2πr

2πr = 72 inches

2 x [tex]\frac{22}{7}[/tex] x r = 72

[tex]\frac{44}{7}[/tex] x r = 72

Solving for r , divide both sides of the equation by 7/44

r = 11.454545 inches

diameter= 2 x radius

2 x 11.454545 inches = 22.91 inches

Please help I don’t get it I will mark brainleist

Answers

Answer:

In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique. A uniform triangular prism is a right triangular prism with equilateral bases, and square sides.

Step-by-step explanation:

bro trust me

PLS SOMEONE!! I NEED THE ANSWER PLSSS!

Answers

Answer:

100 miles. hope this helps

Answer:

Here, For a given figure,

Area (A) = 10 in². (given)

Now,

1 inch = 50 miles

So,

1 inch² = 50 miles²

So, 10 × 50 = 500

-TheUnknownScientist

Which triangle would be congruent to the original using a reflection over the x-axis

a.
b.
c.
d.

Answers

D is your answer because I said so lol

geometric sequence or whatever
How do I do this? Please give subtle explanation too. I don't really understand at all. If I understand this question, I'll understand the rest.
(it's 54 points too lol)

Answers

Step-by-step explanation:

An = -2 * An-1

What this means is that you multiply -2 to the term to get the next term.

Since our 1st term (A1) is -2, we have:

A2 = -2 * A1 = -2 * (-2) = 4,

A3 = -2 * A2 = -2 * (4) = -8,

A4 = -2 * A3 = -2 * (-8) = 16,

A5 = -2 * A4 = -2 * (16) = -32,

A6 = -2 * A5 = -2 * (-32) = 64.

Hence our first 6 terms in the GP are

-2, 4, -8, 16, -32 and 64.

Determine an equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the
point (-2, 6)

Answers

Step-by-step explanation:

find 3x + 12y = 1 in terms of y

so y = -3/12 z + 1/3

y = -1/4 x + 1/3

gradient of the line(m) = -1/4

gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4

(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)

for this line x1=-2 and y1=6 and m=4

so using the equation

(y-y1) = m(x-x1)

y-6 = 4(x-(-2)

y-6 = 4(x+2)

y-6 = 4x + 8

y = 4x + 14

y = 4x + 14 is the equation of the line that contains the coordinates (-2, 6) and is perpendicular to the line 3x + 12y = 1.

What is the slope-intercept form of a line?

When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.

Given an equation of line  3x + 12y = 1

so y = -3/12 z + 1/3

y = -1/4 x + 1/3

gradient of the line(m) = -1/4

gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4

(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)

for this line x₁=-2 and y₁=6 and m=4

so using the equation

(y-y₁) = m(x-x₁)

y-6 = 4(x-(-2)

y-6 = 4(x+2)

y-6 = 4x + 8

y = 4x + 14

Therefore, the equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the point (-2, 6) is y = 4x + 14

Learn more about slope intercept form here:

https://brainly.com/question/19824331

#SPJ2

A king owned land outside of his castle he has partitioned the land to give as gifts to his 5 sons what fraction of land did the king give to each of his sons here is zeke solution andy got 1/2 bill got 1/5 carl got 1/5 dirk got 1/8 and evan got 1/8 identify zeke's two errors correct them and explain why your answers are correct

Answers

Picture relating to the question is attached

Answer:

Andy = 1/2

Bill = 1/8

Carl = 1/8

Evan = 1/8

Dirk = 1/8

Step-by-step explanation:

According to the picture depicting the sharing of the land :

Fraction of the total rectangular plot = 1

Andy got a portion of the whole divided into 2 = 1/2

Fraction left after Andy's portion:

1 - 1/2 = 1/2

1/2 of the fraction left was divided equally between Dirk and Evan

Hence ;

1/2 of 1/2 = 1/2 * 1/2 = 1/4

Dirk's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Evan's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Fraction of land left :

1 - (1/2 + 1/8 + 1/8) = 1 - 3/4 = 1/4

1/4 was divided equally into 2 for Bill and Carl:

Bill's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Carl's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

HELP PLEASE LOTS OF POINTS AND BRAINLIEST!!!


3C. With distances in feet, use the see saw principle to find the number of feet represented by N in the balanced seesaw

3D In the cryptarithm shown, different letters stand for different digits, and no leading digit can equal 0. Find the greatest possible value of “OFF”.

SAT/SUN/OFF

Answers

Answer:

N=5

Step-by-step explanation:

38N = 10*4 + (4+6)15

38N = 180

N=5

Answer:

Answer:

N=5

Step-by-step explanation:

Step-by-step explanation:

38N = 10*4 + (4+6)15

38N = 190

N=5

Need help with explicit rule. Please help.

Answers

Answer:

An = 74(1.07)^n-1

Step-by-step explanation:

Here, we want to get the explicit rule

We are told that the sequence is geometric

At hour 4, we have that this is the 4th term

With conformance to the rule of geometric progression;

T4 = ar^3

90 = ar^3

for the 6th hour, this is the sixth term

103 = ar^5

dividing the 6th term by the 4th term, we have that

103/90 = ar^5/ar^3

103/90 = r^2

r = 1.07

To get a, we simply use any of the terms to substitute

using;

ar^3 = 90

a = 90/r^3

a = 90/1.07^3

a = 73.5 which is approximately 74

So the explicit rule is as follows;

An = 74(1.07)^n-1

z=2 = 27

_____ __

4 12

Answers

Answer:

hmmmmmm

i believe that the answer is _

because of _

(i helped w/ your other one lol)

Step-by-step explanation:

I need help with 13&14 please ASAP!!!!!

Answers

Answer:

3/5 for 13

Step-by-step explanation:

add 2 to the numerator and the denominator

Simplify.

(x2+x−1)+(2x2−3x+9)

Answers

Answer:

32−2+8

Step-by-step explanation:

Eliminate redundant parentheses

thats the answer simplified

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