What Is the value of 8÷1/5

A magazine currently has 8700 subscribers for its online web version. It is adding members at the rate of R(t) = 190e0.03t subsc

aleksklad [387]

Number of subscriber the magazine will have after 3 years from now approximately be 8767

<u>Solution:</u>

Given that magazine currently has 8700 subscribers for its online web version

$\begin{array}{l}{\mathrm{R}(\mathrm{t})=190 \mathrm{e}^{0.03 \mathrm{t}} \text { subscribers/month }} \\\\ {\mathrm{S}(\mathrm{t})=\mathrm{e}^{-0.06 \mathrm{t}}}\end{array}$

After 3 years, time(t) = 36 month

Total number of subscribers after 3 years from now :

Substitute "t" = 36

$\begin{array}{l}{\mathrm{R}(36)=190 \mathrm{e}^{0.03 \times(36)}=190 \times(2.944)} \\\\ {\mathrm{R}(36) \approx 560} \\\\ {\mathrm{S}(36)=\mathrm{e}^{-0.06 \times(36)}=0.12}\end{array}$

Subscribers remaining = 0.12 x 560 = 67.2

The magazine currently has 8700 subscribers

Added Subscriber = 8700 + 560 = 9260

Remaining Subscriber = 8700 + 67.2 = 8767.2

Therefore number of subscriber the magazine will have after 3 years from now approximately be 8767

7 0

3 years ago

In a study of automobile collision insurance costs, a random sample of n = 35 repair costs of front-end damage caused by hitting

laiz [17]

Answer: The maximum error = $105.76.

Step-by-step explanation:

Formula to find the maximum error:

$E= z^*\dfrac{\sigma}{\sqrt{n}}$

, where n= sample size.

$\sigma$ = Population standard deviation

z*= Critical value(two-tailed).

As per given , we have

$\overline{x}=1438$

n= 35

$\sigma=269$

For 98% confidence , the significance level = $1-0.98=0.02$

By z-table , the critical value (two -tailed) = $z^* = z_{\alpha/2}=z_{0.01}=2.326$

Now , the maximum error = $E= (2.326)\dfrac{269}{\sqrt{35}}$

$E= (2.326)\dfrac{269}{5.9160797831}$

$E= (2.326)\times45.4692989044=105.761589252\pprox105.76$

Hence, With 98% confidence level , the maximum error = $105.76.

4 0

3 years ago

||<br> Area of a regular polygon

ELEN [110]

Answer:

The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area. As an example, let's use a hexagon (6 sides) with a side (s) length of 10.

Step-by-step explanation:

idk if you added a picture but

5 0

3 years ago

Elaines car showed that her gas tanks was 6/8 full her car can hold 12 gallons how many gallons were there when she look at the

Soloha48 [4]

You have to find an equivalent denominator. The two fractions are 1/12 and 6/8. I'll show you some work.

6/8 ; 12/16 ; 18/24

1/12 ; 2/24

Now that we know the denominator is 24, we can simplify 18/24.

18/24 ; 9/12

Your answer should be 9/12. Hope this helps! :)

7 0

3 years ago

Carlos found that the length of the diagonal of his laptop monitor is . If the manufacturer rounds to the nearest whole inch, wh

Makovka662 [10]

The size of the monitor as measured by the diagonal to the nearest whole inch, 17 inch.

<h3>What is square root?</h3>

A number's square root is a quantity that, when multiplied by itself, yields the original quantity. There are two ways to calculate the square root of a number: method of prime factorization and division strategy.

For example, both 3 and –3 are square roots of 9

The length of the diagonal of his laptop monitor is squared root of 290

Let 'D' be the diagonal of the monitor.

The,

Diagonal = √290

Use long division method to solve the value,(attached in the file)

√290 = 17.029

= 17.03

Therefore, the value of √290 rounds to the nearest whole inch is 17 inch.

To know more about long division problem, here

brainly.com/question/12085148

#SPJ4

The correct question is -

Carlos found that the length of the diagonal of his laptop monitor is squared root of 290. If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal? 12 17 97 245

4 0

2 years ago