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
Xelga [282]
3 years ago
13

A car that originally cost $20,000 depreciates by 15% each year in about how many years will be car be worth half its value use

the equation 10,000=20,000(0.85)^x to solve the problem round your answer to the nearest dollar
Mathematics
1 answer:
DENIUS [597]3 years ago
6 0
0.5=0.85^x  taking the natural log of both sides...

ln0.5=x ln0.85

x=ln0.5/(ln0.85)

x≈4.265

Then:

f=20000(0.85)^(4.265)

f=$10000.00 to nearest dollar
You might be interested in
Original price of a soda: $800 tax 7% selling price: $
Kobotan [32]

Answer:

$856

Step-by-step explanation:

Find 7% of $800 and then add it to $800

3 0
3 years ago
1 2 TIME REMAIN 50:24 How could Theo check his work? Check all that apply. Theo solved n + 5 = 11 for the unknown. The steps he
elena-14-01-66 [18.8K]

Answer:

so first you do the work than check

Step-by-step explanation:

3 0
3 years ago
Find the value of x in the figure below
Sonbull [250]

Answer:

Step-by-step explanation:

x = 1.0

how:

we know that the Hyp of the small triangle is  \sqrt{2}

since we know that ,  then  

\sqrt{2} = 1^2 + 1^2   by  Pythagoras theorem

so each side is 1  :)

8 0
2 years ago
The city has an average of 13 days of rainfall for April.
zhenek [66]

Using the Poisson distribution, we have that:

  • There is a 0.0859 = 8.59% probability of having exactly 10 days of precipitation in the month of April.
  • There is a 0.00022 = 0.022% probability of having less than three days of precipitation in the month of April.
  • There is a 0.2364 = 23.64% probability of having more than 15 days of precipitation in the month of April.

<h3>What is the Poisson distribution?</h3>

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}

The parameters are:

  • x is the number of successes
  • e = 2.71828 is the Euler number
  • \mu is the mean in the given interval.

For this problem, the mean is given as follows:

\mu = 13

The probability of having exactly 10 days of precipitation in the month of April is P(X = 10), hence:

P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}

P(X = 10) = \frac{e^{-13}13^{10}}{(10)!} = 0.0859

There is a 0.0859 = 8.59% probability of having exactly 10 days of precipitation in the month of April.

The probability of having less than three days of precipitation in the month of April is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which:

P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-13}13^{0}}{(0)!} \ approx 0

P(X = 1) = \frac{e^{-13}13^{1}}{(1)!} = 0.00003

P(X = 2) = \frac{e^{-13}13^{2}}{(2)!} = 0.00019

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.00003 + 0.00019 = 0.00022

There is a 0.00022 = 0.022% probability of having less than three days of precipitation in the month of April.

For more than 15 days, the probability is:

P(X > 15) = P(X = 16) + P(X = 17) + ... + P(X = 20)

Applying the formula for each of these values and adding them, we have that P(X > 15) = 0.2364, hence:

There is a 0.2364 = 23.64% probability of having more than 15 days of precipitation in the month of April.

More can be learned about the Poisson distribution at brainly.com/question/13971530

#SPJ1

6 0
2 years ago
Math queztion -8x + 40&gt; -16 =
emmainna [20.7K]

Answer: x < 7

Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is -8x by subtracting 40 from both sides.

That leaves you with -8x > -56.

To get <em>x</em> by itself, divide both sides by -8 but watch out.

If you divide both sides of an inequality by a negative,

you must switch the direction of the inequality sign.

So we have x < 7.

4 0
3 years ago
Read 2 more answers
Other questions:
  • I need help math Brainliest
    6·1 answer
  • Line z has a slope of 2.5 and goes through point (4, 13). Which equation best represents line z?
    9·1 answer
  • What is the measure of angle z in this figure?
    6·2 answers
  • Find the value X and Y
    13·1 answer
  • Which of the following is NOT a topic that you will learn about with matrices in this lesson? Addition Multiplication Interpreta
    15·2 answers
  • Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party to choose which typ
    13·2 answers
  • 9 = v + 4/ v +12; solve for v
    11·1 answer
  • Prove that A - B = A-(A n B) using a Venn diagram​
    14·1 answer
  • “Peaches at the Farmer’s Market cost $2.70 per pound.”
    10·2 answers
  • 6/7=?/12 I need the answer
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!