Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%. It's current value is $2,000. the equation 2,000=16,000(1-r)^t represents the situation, where t is the age of the car in years and r is the rate of depreciation. About how old is Devon's car?

Answers

Answer 1

Answer: We are given with the equation 2,000=16,000(1-r)^t where $2,000 is the current value and $16,000 is value of the car when purchased. r is the rate of depreciation equal to 35% or 0.35. We find t, age of the car using the calculator which is 4.83 years.

Answer 2

Answer:

Answer: 5 Years

Step-by-step explanation:

Got it right on Edge

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IQ is normally distributed with a mean of 100 and a standard deviation of 15. What IQ do you need to be in the 90th percentile?

Answers

Answer:IQ score≈119.7225

Step-by-step explanation:

To find the IQ score that corresponds to the 90th percentile in a normal distribution with a mean of 100 and a standard deviation of 15, you can use the cumulative distribution function (CDF) of the normal distribution. The CDF gives the probability that a random variable (in this case, IQ) is less than or equal to a specific value.

The formula to find the z-score (standard score) corresponding to a given percentile is:

�

invNorm

(

�

)

z=invNorm(p)

Where

�

p is the desired percentile expressed as a decimal (90th percentile would be

�

0.90

p=0.90), and

invNorm

invNorm is the inverse normal distribution function.

Then, you can use the z-score to find the IQ score using the formula:

IQ score

mean

�

standard deviation

IQ score=mean+z×standard deviation

Plugging in the given values:

Mean (

mean

mean) = 100

Standard deviation (

standard deviation

standard deviation) = 15

Percentile (

�

p) = 0.90

First, find the z-score:

�

invNorm

(

0.90

)

z=invNorm(0.90)

You can use a standard normal distribution table, calculator, or software to find the z-score. For a 90th percentile,

�

≈

1.28155

z≈1.28155.

Now, plug the z-score into the IQ score formula:

IQ score

100

1.28155

IQ score=100+1.28155×15

IQ score

≈

119.7225

IQ score≈119.7225

Rounding to the nearest whole number, an IQ score of approximately 120 would place you in the 90th percentile.

Final answer:

To be in the 90th percentile, you would need an IQ score of approximately 119.2.

Explanation:

To find the IQ score corresponding to the 90th percentile, we can use the standard normal distribution table or a calculator. Since the IQ distribution is normally distributed with a mean of 100 and a standard deviation of 15, we can convert the given information into a standard normal distribution by using the formula:

Z = (X - μ) / σ

where Z is the standard score, X is the IQ score, μ is the mean, and σ is the standard deviation.

Since we want to find the IQ score for the 90th percentile, we need to find the Z-score that corresponds to the 90th percentile. From the standard normal distribution table, we find that the Z-score for the 90th percentile is approximately 1.28.

Now, we can solve for X (the IQ score) using the formula:

Z = (X - μ) / σ

Substituting the values, we have:

1.28 = (X - 100) / 15

Solving for X, we get:

X = 1.28 * 15 + 100

Therefore, to be in the 90th percentile, you would need an IQ score of approximately 119.2.

Learn more about calculating iq for a given percentile here:

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You had 23 dollars to spend on 4 avocados. They were very green. After buying them you had 11 dollars. How much did each avocado cost?

Answers

Answer:

Step-by-step explanation:

Because you subtract $23-$11 to get the total you spent on avocados then you divide 12/4 because you bought 4 avocados

Answer:

3 dollars for each avocado.

Step-by-step explanation:

Since you had 23 dollars in the beginning and 11 dollars in the end, subtract to find out how much was used for the avacados.

23-11=12

Next, since you bought 4 avocados, you divide 12 by 4 to find out how much each cost.

12/4=3

Each avocado cost 3 dollars.

You can check by multiplying 3 by 4.

3x4=12

Then, add the 12 dollars spent to the 11 dollars left.

12+11=23 dollars

Write an equation in standard form of the line that isgraphed. Then find the x- and y-intercepts.

The equation of the line in standard form is
1.) 4x - 5y = -1
2.) 4x - 5y = 9
3.) 5x - 4y = 9
4.) 5x - 4y = -1

The x-intercept is
1.) -9/5
2.) -5/4
3.) 1/5
4.) 9/4

The y-intercept is
1.) -9/5
2.) -5/4
3.) 1/5
4.) 9/4

Answers

The equation of the line in standard form is 4x - 5y = 9
The x-intercept is 9/4
The y-intercept is -9/5.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points (1, -1) and (-4, -5)

so, slope of line

= -5 + 1 / (-4 -1)

= -4 /(-5)

= 4/5

So, the equation of line is

y+ 1= 4/5 ( x- 1)

y + 1 = 4/5x -4/5

y= 4/5x - 4/5 - 1

y= 4/5x - 9/5

4x - 5y = 9

So, the x- intercept is 9/4 and y- intercept is -9/5.

Learn more about slope here:

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Answer: equation= 4x-5y= 9

x intercept= 9/4

y intercept= -9/5

Step-by-step explanation: It was right on E2020

How many solutions does the system 2y=10x-14 and 5x-y=7 have? need worked out step by step please!

Answers

2y=10x-14
5x-y=7

Divide both sides by 2 in the 1st equation
y=5x-7
Now substitute is to 2nd equation
5x-5x+7=7
0=0

Therefore there is no solution or it is inconsistent

these 2 equations are actually the same,
hope u can understand.

Suppose v varies directly as g, and v=36 when g=4. Find v when g =11

Answers

36v.......4g

x...........11g

Cross multiply

4x= 36*11

4x= 396

x= 396/4

x= 99

When g=11 V will equal 99

I hope that's help !

you can also doing it another way

4*9= 36v

11*9= 99

If you have questions please ask !

In order to gather experts to advise him on federal policy, President George Washington createdCongress.
the Constitution.
a cabinet.
departments.

Answers

Answer:

C.- A cabinet

hope this helped

Step-by-step explanation:

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try to get to 34 thanks and ill answer all your question or go on my page and give me a thanks

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