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
Cloud [144]
3 years ago
6

Timothy purchased a computer for $1,000.

Mathematics
1 answer:
scoundrel [369]3 years ago
6 0

Answer:

This situation represents [a.) exponential decay

The rate of growth or decay, r, is equal to  c.) 0.2

So the value of the computer each year is g.) 80% of the value in the previous year.

It will take [i.) 3 years for the value of the computer to reach $512.

Step-by-step explanation:

Since the value depreciates each year, it represents exponential decay.

The rate of growth or decay, r, is equal to

Depreciates 20%, so r = 0.2.

So the value of the computer each year is ... of the value in the previous year,

Depreciates 20%, so it is 100% - 20% = 80% of the value in the previous year.

It will take x years for the value of the computer to reach $512.

The value of the computer after x years is given by:

V(x) = V(0)(1-r)^x

In which V(0) is the initial value and r is the decay rate. So

V(x) = 1000(1-0.2)^x

V(x) = 1000(0.8)^x

We want to find x for which V(x) = 512. So

V(x) = 1000(0.8)^x

512 = 1000(0.8)^x

(0.8)^x = \frac{512}{1000}

(0.8)^x = (0.512)

Applying log to both sides:

\log{(0.8)^x} = \log{(0.512)}

x\log{0.8} = \log{(0.512)}

x = \frac{\log{0.512}}{\log{0.8}}

x = 3

So it will take 3 years.

You might be interested in
Are the following equations parallel y=1/3x+6 and y=1/3x+12 ?
Mademuasel [1]

Answer: yes

Step-by-step explanation:

They run side by side together

5 0
3 years ago
Read 2 more answers
The convenience store sells a 16-ounce bottle of water for $2.40 and a 28-ounce bottle of water for $2.80. Tiana wants to compar
mezya [45]

Answer:

The cost of 16 ounce bottle would be .15 cents per ounce = $2.40

Step-by-step explanation:

2.40/16= .15

2.80/28= .10

4 0
2 years ago
Please help,Thanks;)
vichka [17]
To solve this, you divide the price by the amount of ounces, and find the one which results in the smallest number. That was B, $4.29 for 12 ounces.
4 0
3 years ago
John left school with 8.43 he found a quarter on his way home and then stopped to buy an Apple for 0.89 . how much money did he
larisa [96]

Answer:

7.79

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A(3, -1) and B(6, 0)
Mashutka [201]

Answer:

AB = 3.16 units

Step-by-step explanation:

Given:

A(3, -1) and B(6, 0)

To Find:

AB = ?

Solution:

AB = root{(x2 - x1)^2 + (y2 - y1)^2}

AB = root{(6 - 3)^2 + (0 - (-1))^2}

AB = root{(3)^2 + (0 + 1)^2}

AB = root{9 + (1)^2}

AB = root{9 + 1}

AB = root 10

Therefore, AB = 3.16 units

PLEASE MARK ME AS BRAINLIEST!!!

6 0
3 years ago
Other questions:
  • Jim & Jesse each had the same amount of money. Jim spent $58 and Jesse spent $37. Afterward, the ratio of Jim's money to Jes
    7·1 answer
  • Please help me best answer gets brainliest
    13·1 answer
  • Which graph shows y=2⌈x⌉−3 ?
    15·2 answers
  • Find the measure of Angle 5. measure of angle 7 = 2x+15 measure of angle 8 = 3x
    7·1 answer
  • If y = sin (ax + b), where a & b are constants, which of these is true
    14·1 answer
  • A straight angle that measures 180 degrees is called
    10·2 answers
  • (please help) look at the picture below
    6·1 answer
  • Sara went to breakfast with her family. What is the total cost is the sales tax is 6%?​
    12·1 answer
  • Sove<br><img src="https://tex.z-dn.net/?f=2x%20-%205%20%3D%207" id="TexFormula1" title="2x - 5 = 7" alt="2x - 5 = 7" align="absm
    11·2 answers
  • Triangle DEF has coordinates D(1,1). E(1,5), and F(5.1). Triangle D'EF is the image of ADEF by a dilation with center (0.0) and
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!