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
nikitadnepr [17]
3 years ago
11

The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?

Mathematics
1 answer:
svet-max [94.6K]3 years ago
7 0

Answer:

The half life of the car is 3.98 years.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

V(t) = V(0)(1-r)^{t}

In which V(0) is the initial value and r is the constant decay rate, as a decimal.

The value of a certain car decreases by 16% each year.

This means that r = 0.16

So

V(t) = V(0)(1-r)^{t}

V(t) = V(0)(1-0.16)^{t}

V(t) = V(0)(0.84)^{t}

What is the 1⁄2-life of the car?

This is t for which V(t) = 0.5V(0). So

V(t) = V(0)(0.84)^{t}

0.5V(0) = V(0)(0.84)^{t}

(0.84)^{t} = 0.5

\log{(0.84)^{t}} = \log{0.5}

t\log{0.84} = \log{0.5}

t = \frac{\log{0.5}}{\log{0.84}}

t = 3.98

The half life of the car is 3.98 years.

You might be interested in
Using a simulator at space​ camp, you practice landing your individual spaceship on landing platforms that have different shapes
Mila [183]

The Area of the platform is 33m²

Step-by-step explanation:

As the question says, the height of vertex from the base (D from AB) is 7m whereas the height of left vertex from the base (E from AB) is 4m

Thus it means the height of the Δ DCE (DX)= 7-4 ⇒3m

Since the platform is five-sided, the figure can be broken down into constituting parts

  1. Parallelogram ║ABCE
  2. Δ DCE

Are of the figure= Area of ║ABCE+ area Δ DCE

Area of ║ABCE= breadth * height

= 6*4 ⇒24m ²

Area Δ DCE= ½*(base)(height)

Putting the value of base is 6m and height as 3m

Area Δ DCE= ½*6*3

=9m ²

Total area= 24+9= 33m ²

3 0
3 years ago
The first step in factoring a trinomial of the form is to find two numbers, m and n, such that m + n = b and _____.
Licemer1 [7]

Answer:

Correct choice is C). mn=ac

Step-by-step explanation:

Given statement is that the first step in factoring a trinomial of the form is to find two numbers, m and n, such that m + n = b and _____.

We know that when we factor polynomial of type ax^2+bx+c ,product of both numbers m and n must be same as product of a and c.

Hence correct choice is C). mn=ac

4 0
3 years ago
20 POINTS PLEASE HELP Determine whether each figure has rotational symmetry, line symmetry, both, or neither.
alexgriva [62]
1-rotational
2-rotational
3-rotational
4-neither

(I’m like 99% sure)
4 0
2 years ago
Read 2 more answers
Look at the table representing the distance covered by a car accelerating from 0 miles per hour. The table shows a relationship.
vfiekz [6]

quadratic

second

16

8

✌️

8 0
3 years ago
A function and its inverse are shown on the same graph. Which statement describes the relationship between the function and its
Korvikt [17]

Answer:C

Step-by-step explanation:on edge

5 0
3 years ago
Other questions:
  • Draw and label the figure described MN and PQ intersecting at point R
    7·2 answers
  • What is the GCF of 9, 27,and 63
    5·2 answers
  • Mario earned three times as much money last year as his wife Elena. The total amount that the two earned was $11,000. How much m
    12·1 answer
  • (20 points) A statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s
    14·1 answer
  • Who wants to talk? Just comment. I need help on number one
    6·2 answers
  • Can someone please help me?
    13·1 answer
  • Find the square roots of these numbers by division method. <br>a-6090​
    8·1 answer
  • Can someone please help me?
    5·1 answer
  • Explain the steps to solve for g in the equation -1/3g+5=2
    6·2 answers
  • The graph of a quadratic f(x) intersects the x-axis at –15 and 9. What is a possible
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!