A certain forest covers an area of 4200 km2 Suppose That each year decreases by 8%. Wha will the area be after 15 years

Answers

Answer 1
Answer:

Depreciation formula:

Total = starting value x (1 - percentage)^time

Total = 4200 x (1-0.08)^15

Total = 4200 x 0.92^15

Total = 1202.449 km^2

Rounded to nearest km = 1202 km^2


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It takes a graphic designer 1.5h to make one page of a website. Using a new software, the designer could complete each page in 1.25h, but it takes 8h to learn the software. How many web pages would the designer have to make in order to save time using the new software? ​

Answers

The number of web pages would the designer have to make in order to save time using the new software will be 33 web pages (at least).

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

We can set up an inequality to represent this, where x represents the number of web pages made.

1.5x > 1.25x + 8

The time with the new software is represented by 1.25x + 8 and the normal time is represented by 1.5x. The number of hours spent using the old software must be 1.5 times greater than the time spent using the new product.

Solve for x:

1.5x > 1.25x + 8

0.25x > 8

x > 32

Therefore, the number of web pages would the designer have to make in order to save time using the new software will be 33 web pages (at least).

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Answer:

33 web pages (at least)

Step-by-step explanation:

We can set up an inequality to represent this, where x represents the number of web pages made.

1.5x > 1.25x + 8

1.5x represents the number of hours it will take normally, and 1.25x + 8 represents the time with the new software. 1.5x (amount of hours using old software) needs to be larger than the time it takes with the new software.

Solve for x:

1.5x > 1.25x + 8

0.25x > 8

x > 32

So, the designer would have to make at least 33 pages.

The ratio of Sunita's age to Mark's age is currently 3 to 4, and in 12 years, it will be 5 to 6. What is Mark's current age?A) 18

B)24

C)30

D)36

Answers

Answer:

24 years.

B is correct option.

Step-by-step explanation:

Let Sunita's current age is x and that of Mark's is y.

Hence, we have

(x)/(y)=(3)/(4)\n\nx=(3)/(4)y.......(1)

Now, in 12 years the ratio will be 5 to 6. Thus, we have

(x+12)/(y+12)=(5)/(6)

Cross multiplying, we get

6x+72=5y+60

Plunging, the value of x from equation (1)

6((3)/(4)y)+72=5y+60\n\n(9y)/(2)+72=5y+60\n\n(y)/(2)=12\n\ny=24

Therefore, Mark's current age is 24 years.

Mark's current age is 24  


Bo and Erica are yoga instructors. Between the two of them, they teach 44 yoga classes each week. If Erica teaches 13 fewer than twice as many as Bo, how many classes does each instructor teach per week?A. 23 Bo; 21 Erica
B. 21 Bo; 23 Erica
C. 16 Bo; 28 Erica
D. 19 Bo; 25 Erica

Answers

Answer: D. 19 Bo; 25 Erica

Step-by-step explanation:

Let x represent the number of yoga classes that Bo teaches in a week.

Let y represent the number of yoga classes that Erica teaches in a week.

Between the two of them, they teach 44 yoga classes each week. This means that

x + y = 44 - - - - - - - - - - -1

If Erica teaches 13 fewer than twice as many as Bo, it means that

y = 2x - 13

Substituting y = 2x - 13 into equation 1, it becomes

x + 2x - 13 = 44

3x = 44 + 13 = 57

x = 57/3 = 19

y = 2x - 13 = 2 × 19 - 13

y = 25

What is the difference of rational expressions below 6x/x-3 - 5/x

Answers

Answer:

$  (6x^2-5x+15 )/(x^2-3x) $

Step-by-step explanation:

$(6x)/(x-3) -(5)/(x) $

$(6x(x))/(x(x-3)) -(5(x-3))/(x(x-3)) $

$(6x^2)/(x^2-3x) -(5x-15)/(x^2-3x) $

$  (6x^2-5x+15 )/(x^2-3x) $

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

  the correct answer is marked (1/2)

Step-by-step explanation:

The average rate of change is the slope of the line between the two points at the ends of the interval.

  m = (g(3) -g(-4))/(3 -(-4))

The values of the function we need are ...

  g(3) = 5/(3-1) +2 = 2.5 +2 = 4.5

  g(-4) = 5/(-4-1) +2 = -1 +2 = 1

So, the slope is ...

  m = (4.5 -1)/7 = 3.5/7 = 1/2

The average rate of change is 1/2.

_____

On the attached graph, that value shows up as the coefficient of x in the equation of the line through the two points.

The probability that Jonas will win the race is 0.6 and the probability that he will not win is 0.5.The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal to 1.

Answers

Option B) The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal = 1

Since the above question says that the probability of Jonas winning the race is = 0.6

And the question says that the probability of Jonas losing the race is = 0.5

If we sum up the probabilities of winning and losing,

Probability = 0.4 + 0.5

= 0.9

Hence, the above situation is not possible because the probability must be = 1.

According to the phenomenon of Probability,

Let us consider two probabilities that are

The winning probability is given = x

The Losing probability is given =  y

So, x + y = 1 ( must be 1 )

Therefore, Option B) The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal = 1

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Decide whether the following statement makes sense (or clearly true) or does not make sense (or is clearly false). Explain your reasoning. The probability that Jonas will win the race is 0.6 and the probability that he will not win is 0.5. Choose the correct answer below.

A. The statement makes sense because it is true that the probability of Jonas not winning the race is

B. The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal to 1.

C. The statement makes sense because the probability of Jonas winning the race will always be between 0 and 1.

D. The statement does not make sense because the probability of Jonas winning the race cannot be greater than the probability of him not winning the race.