What is the result of multiplying (5x2 + 3x) by its conjugate?...hehe does anyone know..

A car with an initial cost of $23,000 is decreasing in value at a rate of 8% each year. Write the exponential decay function des

tester [12383]

Answer:

Step-by-step explanation:

We will utilize the exponential decay formula described as

A = P(1 - r/n)^(nt)

Where

A symbolizes the value after a time period t.

n refers to the timeframe for value loss calculation

t indicates the number of years.

P stands for the population value.

r indicates the rate of decrease.

Based on the provided data,

P = 23000

r = 8% = 8/100 = 0.08

n = 1

Thus, the exponential decay function fitting this situation is

A = 23000(1 - 0.08/n)^1)^ t

A = 23000(0.92)^t

If A = 15000, it follows that

15000 = 23000(0.92)^t

0.92^t = 15000/23000 = 0.6522

Taking logarithm of both sides to base 10

Log(0.92^t) = log(0.6522)

t log(0.92) = log(0.6522)

- 0.036t = - 0.1856

t = - 0.1856/- 0.036

We find t = 5 years rounded to the nearest year

3 0

1 month ago

$0.60 bottle of iced tea marked up to $1.35

zzz [12365]

The result is 0.81 because you must multiply 0.60 by 1.35 to get 0.81. Then divide 0.81 by 0.60.

6 0

2 months ago

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The idle time for taxi drivers in a day are normally distributed with an unknown population mean and standard deviation. If a ra

Svet_ta [12734]

Answer:

$172-2.51\frac{16}{\sqrt{23}}=163.626$

$172+2.51\frac{16}{\sqrt{23}}=180.374$

Hence, in this case, the 98% confidence interval would be (163.626;180.374)

Step-by-step breakdown:

Previous concepts

A confidence interval represents a range that is likely to encompass a population value within a specific confidence level, typically expressed as a percentage whereby a population mean falls between an upper and lower limit.

The margin of errorindicates the span of values surrounding the sample statistic in a confidence interval.

A normal distributionillustrates a probability distribution that is symmetrical around the mean, signifying that values near the mean occur more frequently than those farther away from it.

$\bar X=172$ denote the sample mean

$\mu$ population mean (the variable of interest)

s=16 signifies the sample standard deviation

n=23 represents the sample size

The solution to the query

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

To determine the critical value $t_{\alpha/2}$ , we first need to calculate the degrees of freedom, which is expressed as:

$df=n-1=23-1=22$

Since the confidence level is 0.98 or 98%, we find the value of $\alpha=0.02$ and $\alpha/2 =0.01$ using tools like Excel or a calculator, where the Excel command would be: "=-T.INV(0.01,22)". This yields $t_{\alpha/2}=2.51$

Having all components ready, we can substitute into formula (1):

$172-2.51\frac{16}{\sqrt{23}}=163.626$

$172+2.51\frac{16}{\sqrt{23}}=180.374$

Thus, for this case, the 98% confidence interval will be (163.626;180.374)

3 0

1 month ago

Explain how to use a graph of the function f(x) to find f(3).

lawyer [12517]

Typically, the graph will have a labeled line such as f(x) = ... To find f(3), identify 3 on the x-axis, then trace vertically to the graph line and read the corresponding y-value.

7 0

3 months ago

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