Can some please help me ASAP <br> I will give brainiest

From 1997 - 2001 the number n (in millions) of black-and-white TV S sold in the U.S. Can be modeled by n = 26.8 * (0.85) ^ t whe

Alexandra [31]

Question

a) What is the decay factor?

b) What is the percent decrease?

c) Estimate the number of black and white TV's sold in 1999.

Answer:

a. Decay factor = 0.85

b. Percent decrease = 15%

c. 19.363 million TVs were sold

Step-by-step explanation:

Given

$n = 26.8(0.85)^t$

Solving (a): The decay factor

An exponential function has the form

$y = ab^x$

Where b is:

$b = decay\ factor\ or\ growth\ factor$

By comparison:

$b = 0.85$

Solving (b): Percentage decrease:

Percentage decrease P is calculated as follows:

$P = 1 - b$

Substitute 0.85 for b

$P = 1 - 0.85$

$P = 0.15$

Convert to percentage

$P = 0.15*100\%$

$P = 15\%$

Solving (c): TVs sold in 1999

First, we need to determine the value of t for 1999

In 1997, t= 0

In 1998, t= 1

In 1999, t= 2

So, we substitute 2 for t in: $n = 26.8(0.85)^t$

$n = 26.8(0.85)^2$

$n = 26.8*0.7225$

$n = 19.363$

4 0

3 years ago

Simplify complex fraction<br> ( ( 2x - 5 ) / ( x^2 - 9) ) / ( ( 3x - 1 ) / ( x + 3 ) )

Dovator [93]

Hope this helped! Ask me if there's any part of the working you don't understand! :)

4 0

3 years ago

Read 2 more answers

A dump truck is unloading sand that falls into a conical pile. Find the height of the cone when the diameter of the pile is 16 f

Rudiy27

Answer:

8.21

Step-by-step explanation:

formula is:

V= 3 $\frac{volume}{pie(diameter)}$

you plug everything in but when you go to plug in your diameter you need to use the radius. the radius is always half of the diameter.

6 0

3 years ago

Researchers have claimed that the average number of headaches per student during a semester of Statistics is 11. In a sample of

SSSSS [86.1K]

Answer:

A) H0: μ = 11 vs. Ha: μ > 11

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

Therefore, for the case above;

The null hypothesis is that the average number of headaches per student during a semester of Statistics is 11.

H0: μ = 11

The alternative hypothesis is that the average number of headaches per student during a semester of Statistics is greater than 11.

Ha: μ > 11

4 0

4 years ago

The note A has a frequency of 1,760 hertz. The note D has a period of 1,175 hertz. Find theratio of A to D to two decimal places

valina [46]

Ratios

Note A has a frequency of

fa=1,760 Hz

Note D has a period of 1,175 hertz

(the previous data should be frequency, not period)

We are required to find the ratio of A to D. Let's call it r:

$r=\frac{1,760^{\prime}}{1,175}$

Dividing: r = 1.4978. Rounding to two decimal places:

r = 1.50

Now to express the answer in integer ratio form, we need to simplify the fraction.

First, we divide by 5 up and down:

$r=\frac{352^{\prime}}{235}$

There are no more common divisors for both numbers, thus the integer ratio form is r = 352/235

7 0

2 years ago

Can some please help me ASAP I will give brainiest