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3 years ago

the value of a car that cost $16,000 decreased to $12,000 after 2 years what is the percent of decrease

Mathematics

2 answers:

choli [55]3 years ago

7 0

Answer: 25%

Step-by-step explanation:

16 000 - 12 000 = 4000

16 000 / 4000 = 4

100 / 4 = 25

VMariaS [17]3 years ago

6 0

The answer is 25% hope this helps you

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Is this the correct answer, yall?

ehidna [41]

Yes, yes it is; well done.

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3 years ago

Answers with links will be reported

Ber [7]

Answer:

11 months

Step-by-step explanation:

the math that i did was i kept adding 400 to 2500 and counted every four hundred that i added witch was 11 until i got to 7000 so the answer is 11 months. You will have some left over which you will have 300 left over.

8 0

2 years ago

Analyze the key features of the graph f(x) = 1/x+3 -2

tia_tia [17]

<h2>Explanation:</h2><h2></h2>

Here we have the following rational function:

$f(x) = \frac{1}{x+3} -2$

So the graph of this function is shown in the First Figure below. Let's define another function which is a parent function:

$g(x)=\frac{1}{x}$

Whose graph is shown in the second figure below. So we can get the graph of f from the graph of g this way:

Step 1. Shift the graph 3 units to the left:

$f_{1}(x) = \frac{1}{x+3}$

Step 2. Shift the graph 2 units down:

$f(x) = \frac{1}{x+3}-2$

Finally, the features of the graph of f are:

The graph of this function comes from the parent function g and the transformations are:

A shifting 3 units to the left

A shifting 2 units down

8 0

2 years ago

A random sample of size n1= 25, taken from a normal population with a standard deviation σ1= 5, has a mean X1= 80. A second rand

sesenic [268]

Answer:

The 94% confidence interval would be given by $2.898 \leq \mu_1 -\mu_2 \leq 7.102$

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".

$\bar X_1 =80$ represent the sample mean 1

$\bar X_2 =75$ represent the sample mean 2

n1=25 represent the sample 1 size

n2=36 represent the sample 2 size

$\sigma_1 =5$ sample standard deviation for sample 1

$\sigma_2 =3$ sample standard deviation for sample 2

$\mu_1 -\mu_2$ parameter of interest.

The confidence interval for the difference of means is given by the following formula:

$(\bar X_1 -\bar X_2) \pm z_{\alpha/2}\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}$ (1)

The point of estimate for $\mu_1 -\mu_2$ is just given by:

$\bar X_1 -\bar X_2 =80-75=5$

Since the Confidence is 0.94 or 94%, the value of $\alpha=0.06$ and $\alpha/2 =0.03$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.03,0,1)".And we see that $z_{\alpha/2}=1.88$

The standard error is given by the following formula:

$SE=\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}$

And replacing we have:

$SE=\sqrt{\frac{5^2}{25}+\frac{3^2}{36}}=1.118$

Confidence interval

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

$5-1.88\sqrt{\frac{5^2}{25}+\frac{3^2}{36}}=2.898$

$5+1.8\sqrt{\frac{6^2}{36}+\frac{7^}{49}}=7.102$

So on this case the 94% confidence interval would be given by $2.898 \leq \mu_1 -\mu_2 \leq 7.102$

7 0

3 years ago

The function f(x) is the total amount spent at a store, when purchasing x items that are $5 each and the items are not taxable

vagabundo [1.1K]

Answer:

Step-by-step explanation:

The domain is all possible values of x. Here, x is the number of $5 nontaxable items. So x must be an integer, and it can't be negative. It is possible for x to be 0. So x is all whole numbers.

4 0

3 years ago