1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hoochie [10]
2 years ago
9

The value of computer decreases with its age until it is worth nothing a computer that was purchases new for 0 years is worth 22

20 1540 after 6 years problem whats the value after 8 years and what is the linear function V(x)
Mathematics
1 answer:
Georgia [21]2 years ago
3 0

Answer:

V(x) = -\frac{340}{3}x +2220

V(8) = 1313.3

Step-by-step explanation:

Given

Let x represent years and V represents the value.

So, we have:

(x_1,v_1) = (0,2220)

(x_2,v_2) = (6,1540)

Solving (a): The linear function

First, we calculate the slope (m)

m = \frac{v_2 - v_1}{x_2 - x_1}

This gives:

m = \frac{1540-2220}{6-0}

m = \frac{-680}{6}

m = -\frac{340}{3}

The linear function is calculated using:

v - v_2 = m(x - x_2)

Where:

(x_2,v_2) = (6,1540)

m = -\frac{340}{3}

So, we have:

v - 1540 = -\frac{340}{3}(x - 6)

Open bracket

v - 1540 = -\frac{340}{3}x +\frac{340}{3}* 6

v - 1540 = -\frac{340}{3}x +680

Make v the subject

v = -\frac{340}{3}x +680+1540

v = -\frac{340}{3}x +2220

So, the function is:

V(x) = -\frac{340}{3}x +2220

Solving (b): When x = 8

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

V(8) = -\frac{340}{3}*8 +2220

V(8) = -\frac{340*8}{3} +2220

V(8) = -\frac{2720}{3} +2220

Take LCM

V(8) = \frac{-2720+2220*3}{3}

V(8) = \frac{-2720+6660}{3}

V(8) = \frac{3940}{3}

V(8) = 1313.3

<em>Hence, its value after 8 years is 1313.3</em>

You might be interested in
What is the quotient? Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth
anyanavicka [17]

Answer:

\dfrac{3}{2}

Step-by-step explanation:

We are given 2 fractions.

1st fraction is Negative StartFraction 3 over 8

i.e.

-\dfrac{3}{8}

2nd fraction is negative one-fourth

i.e.

-\dfrac{1}{4}

We have to find the quotient when 1st fraction is divided by 2nd fraction.

<u>Definition</u> of quotient is given as:

Quotient is the result obtained when one number is divided by other number.

-\dfrac{3}{8} \div -\dfrac{1}{4} \text{ is to be calculated.}

\div is converted to \times and the 2nd fraction is reversed i.e.

if the fraction is \frac{p}{q} it becomes \frac{q}{p} and the sign \div is changed to \times.

Solving above:

-\dfrac{3}{8} \times -\dfrac{4}{1}\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow \dfrac{3}{2}

So, the quotient is \frac{3}{2}.

6 0
3 years ago
One box of cake mix makes a maximum of 24 cupcakes. A caterer needs 300 cupcakes for an event.
krek1111 [17]
We are given the data that in each box of cupcakes the capacity is a maximum of 24. There are 300 cupcakes required. Hence the number of boxes needed is 300 cupacakes/ 24 cupcakes/ box. The answer is equals to 12. 5. Since there is no such thing as 0.5 box, the answer is rounded up to C. 13
5 0
3 years ago
Which list shows all the factors of 36?
almond37 [142]

Answer:

1,2,3,4,6,9,12,18,36 Is correct one

8 0
2 years ago
Read 2 more answers
Please someone help me, i will give brainliest
raketka [301]

Answer:

Both of them are the same measure: 45 degrees.

Step-by-step explanation:

You plug in 15 for the xin both of the equations they give.

3(15) +17=45

75-2(15)=45

4 0
3 years ago
(X8.6.PS-12
Andrew [12]

Answer:

area = 138 m²

Step-by-step explanation:

radius of large circle = 12 m

radius of small circle = 10 m

large circle area = πr² = (3.14)(12²) = 452.16 m²

small circle area = πr² = (3.14)(10²) =314 m²

452.16 - 314 = 138.16 m²

7 0
2 years ago
Other questions:
  • Which statements are true about
    8·1 answer
  • Isosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is and measures 24 centimeters. What is the m
    12·1 answer
  • Please help!<br> Quickly!
    11·1 answer
  • Simplify (3/4+1/3)×41/3÷31/4
    14·2 answers
  • What is the area of shaded section of the circle?​
    14·1 answer
  • Julita bought a sandwich for $3.50
    10·2 answers
  • What times 3 equals 24
    6·2 answers
  • Select the correct answer from each drop-down menuShape I is similar to shape II
    13·2 answers
  • A textbook store sold a combined total of 354 history and sociology test books in a week. The number of history textbooks sold w
    15·2 answers
  • bennett was visiting five cities that lie on a coordinate grid at A(-2,3), B(2,7), C(7,8), D(6,3) and E(2,-1). What is the midpo
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!