What is a reasonable estimate for the solution?

a daily newspaper has 10225 subscribers when it began publication. six years old later it has 8200 subscribers what is the avera

seraphim [82]

Answer:

The rate of change in number of subscriber for the six years is 3.62%

Step-by-step explanation:

Given as :

The initial subscriber of newspaper = p = 10225

The subscriber of newspaper after 6 years of publish = P = 8200

The time period = t = 6 years

Let The average yearly rate of change = r%

<u>Now, According to question</u>

The subscriber of newspaper after n years = initial subscriber × $(1-\dfrac{\textrm rate}{100})^{\textrm time}$

Or, P = p × $(1-\dfrac{\textrm r}{100})^{\textrm t}$

Or, 8200 = 10225 × $(1-\dfrac{\textrm r}{100})^{\textrm 6}$

Or, $\dfrac{8200}{10225}$ = $(1-\dfrac{\textrm r}{100})^{\textrm 6}$

Or, 0.80195 = $(1-\dfrac{\textrm r}{100})^{\textrm 6}$

<u>Taking power $\dfrac{1}{6}$ both side</u>

So, $(0.80195 )^{\frac{1}{6}}$ = $((1 - \frac{r}{100} )^{6})^{\frac{1}{6}}$

Or, 0.9638 = 1 - $\dfrac{r}{100}$

Or, $\dfrac{r}{100}$ = 1 - 0.9638

Or, $\dfrac{r}{100}$ = 0.0362

Or, r = 0.0362 × 100

i.e r = 3.62

So, The rate of change in subscriber = 3.62%

Hence, The rate of change in number of subscriber for the six years is 3.62% . Answer

4 0

3 years ago

Geometry Question: BK bisects angle ABC and M angle ABK=28.3 degrees. Find M angle KBC and M angle ABC.

Nookie1986 [14]

Answer:

$ABK = 28.3$

Step-by-step explanation:

Given

$ABK = 28.3$

Required

Determine KBC

Since BK is a bisector of ABC at B,

this implies that:

$ABK = KBC$

Substitute 28.3 for ABK

$28.3 = ABK$

Reorder

$ABK = 28.3$

7 0

4 years ago

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Select the works written by Augustine of Hippo.

Alex73 [517]

Answer:

Consolation of Philosopy..

5 0

4 years ago

Which is equivalent to7^(3/2) over 7^(1/2)?

Doss [256]

The answer is c! you just subtract: 3/2-1/2, which is 1.

6 0

3 years ago

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Which is a critical point of the function f(x) = sin(2x) in the interval [0,2pi] ?

MrRissso [65]

Answer:

D pi/4, 3pi/4

Step-by-step explanation:

Differentiate the function then equal it to zero and solve for the interval (see attached workings)

5 0

3 years ago