Whats the correct answer??

A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to half its original value in 4

Alexandra [31]

Answer:

Original price of car = $20,000

Step-by-step explanation:

Let the original price of the car be 'x' dollars.

Given:

Here, the depreciation of the car is occuring exponentially as the value depreciates to half in every four years.

Worth of car after 8 years = $5000

Value after depreciation in 4 years = Half of original value = $\frac{x}{2}$

So, value of car after depreciation in another 4 years = Half of the value after 4 years = $\frac{1}{2}(\frac{x}{2})=\frac{x}{4}$

Therefore, final depreciated value after 8 years is $\frac{x}{4}$ .

But, as per question, final depreciated value is $5000. Thus,

$\frac{x}{4}=5000\\x=5000\times 4\\x=20000$

Therefore, the original price of the car was $20,000.

3 0

2 years ago

Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics grow p

Ede4ka [16]

Answer:

1) The mean calculated for this case is $\bar X=61.5$

2) $61.5-5.4=56.1$

3) $61.5+5.4=66.9$

4) B. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.

Because with the confidence interval we know the confidence level of the interval, and the limits for the parameter at some significance level.

Step-by-step explanation:

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".

Part 1

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (a)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (b)

The mean calculated for this case is $\bar X=61.5$

The sample deviation calculated $s=5.143$

$\mu$ population mean (variable of interest)

n=6 represent the sample size

Part 2

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

$\bar X \pm ME$ (1)

So if we have the margin of error 5.4mm we can find the lowr limit like this:

$61.5-5.4=56.1$

Part 3

$61.5+5.4=66.9$

Part 4

B. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.

Because with the confidence interval we know the confidence level of the interval, and the limits for the parameter at some significance level.

4 0

3 years ago

Read 2 more answers

You will begin with a relatively standard calculation. consider a concave spherical mirror with a radius of curvature equal to 6

vodomira [7]

We are given a concave spherical mirror with the following dimensions:

Radius = 60 cm; D o = 30 cm
Height = 6 cm; h o = 6 cm

First, we need to know the focal length, f, of the object (this should be given). Then we can use the following formulas for calculation:

Assume f = 10 cm

1/ f = 1 /d o + 1 / d i
1 / 10 = 1 / 30 + 1 / d i

d i = 15 cm

Then, calculate for h i:

h i / h o = - d i / d o

h i / 6 = - 15 / 30

h i = - 3 cm

Therefore, the distance of the object from the mirror is 3 centimeters. The negative sign means it is "inverted".

6 0

2 years ago

Which numbers are solutions to the equation 30=x2

GaryK [48]

Answer:

x = +√30

Step-by-step explanation:

Please write 30 = x squared as 30 = x^2.

If x^2 = 30, there are two solutions: x = +√30 and x = -√30.

Several possible answers are given. x=30−−√ is closest to the correct one, but must be written as x = √30. Please ask someone how to find the "√" operator in Brainly. Or, just write "sqrt( )" instead.

6 0

2 years ago

Write an equation in point-slope form of the line that passes through the point (5, 6) with slope 3/5

I am Lyosha [343]

Answer:

(y - 6) = 3/5(x - 5)

Step-by-step explanation:

First, let's look at what point-slope form is: (y - y₁) = m(x - x₁)

Let's plug in the vallues we know.

m is the slope: 3/5

x₁ is 5

y₁ is 6

Therefore:

(y - 6) = 3/5(x - 5)

This is your equation.

Hope this helps!

8 0

2 years ago