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
o-na [289]
3 years ago
10

A car purchased for $34,000 is expected to lose value, or depreciate, at a rate of 6% per year. Using x for years and y for the

value of the car, write the equation that models this situation. After how many years is the car first worth less than $21,000
Mathematics
1 answer:
lilavasa [31]3 years ago
7 0
The equation is y=34000(1-0.06)ˣ.

It will take nearly 8 years for the car to lose enough value to be worth less than $21,000.

Using 21,000 for y, we have
21000=34000(1-0.06)ˣ
21000=34000(0.94)ˣ

Dividing both sides by 34000:
21000/34000 = 34000(0.94)ˣ/34000
(21/34) = 0.94ˣ

Using logarithms to solve this,
\log_{0.94}(\frac{21}{34})=x
\\x=7.79 \approx8
You might be interested in
Sum of numbers 12-111
liubo4ka [24]

Answer:

12-111=-99

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Is the folllowing shape a square? how do you know
Tamiku [17]

Answer:If it has 4 equal sides

If the angles are 90°

Hope this may helps you

5 0
3 years ago
Read 2 more answers
HELP IM STUCK !!!!!!!!!!
kramer

Answer: oof thats a hard one ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

3 0
3 years ago
What is the output, or dependent variable of quantity?<br><br> 1: x<br> 2:f(x)<br> 3:y
Semenov [28]
The answer would be y
8 0
3 years ago
Read 2 more answers
Bob Nale is the owner of Nale’s Quick Fill. Bob would like to estimate the mean number of gallons of gasoline sold to his custom
ira [324]

Answer:

a) The best estimator for the population mean is given by the sample mean \hat \mu = \bar X = 5.70

b) The 99% confidence interval would be given by (4.969;6.431)    

c) We are 99% confident that the true mean for th number of gallons of gasoline  sold to his customers is between 4.969 and 6.431.

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=1.9 represent the population standard deviation

n=45 represent the sample size  

2) Part a

The best estimator for the population mean is given by the sample mean \hat \mu = \bar X = 5.70

3) Part b. Develop a 99 percent confidence interval for the population mean.

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58

Now we have everything in order to replace into formula (1):

5.7-2.58\frac{1.9}{\sqrt{45}}=4.969    

5.7+2.58\frac{1.9}{\sqrt{45}}=6.431

So on this case the 99% confidence interval would be given by (4.969;6.431)    

4) Part c. Interpret the meaning of part (b).

On this case we can say this: We are 99% confident that the true mean for th number of gallons of gasoline  sold to his customers is between 4.969 and 6.431.

4 0
3 years ago
Other questions:
  • Using the data provided in the tutorial below,which country won the most golden medals in the 1994 Winter Olympics?
    13·1 answer
  • What is the equation of this graphed line (-6,-3) (6,-7)
    12·2 answers
  • What is the answer to 6 x 2 + 18 x 2 -3 x 2?
    12·2 answers
  • What is the axis of symmetry of the function f(x) =-(x+9)(x-21)
    15·2 answers
  • Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
    7·2 answers
  • I need help this this
    6·1 answer
  • A club began with 3 members. Each month, each member brought one new
    10·1 answer
  • Please answer this correctly
    12·1 answer
  • Find the value of x. Give reasons to justify your solution. b ∈ ac, d ∈ fa
    13·1 answer
  • Peter began his trip at 1 on the number line shown above. He moved 3 positive counts on day one and 8 negative counts on day two
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!