Find the equation whose roots are - 1/2 and1 whole number1/2

A 4 foot tree was planted in 2012 outside a high school. The tree grew continuously by 22% each year from that point. Find out w

Brut [27]

Answer:

The height of the tree in 2020 was of 19.63 feet.

Step-by-step explanation:

Exponential equation for growth:

The exponential equation for the growth of an amount has the following format:

$H(t) = H(0)(1+r)^t$

In which H(t) is the amount after t years, H(0) is the initial amount and r is the growth rate, as a decimal.

A 4 foot tree was planted in 2012 outside a high school.

This means that $H(0) = 4$

The tree grew continuously by 22% each year from that point.

This means that $r = 0.22$

Find out what the height of the tree was in 2020.

2020 is 2020 - 2012 = 8 years after 2012, so this is H(8).

$H(t) = H(0)(1+r)^t$

$H(t) = 4(1+0.22)^t$

$H(4) = 4(1.22)^t$

$H(4) = 4(1.22)^8 = 19.63$

The height of the tree in 2020 was of 19.63 feet.

6 0

3 years ago

Andre has enough to fill 3500 in.3.. he decides to change the length of the step so that he will use all of the cement. What wil

Mrac [35]

Answer:

43.75 inches or 43 and 3/4 inches.

Step-by-step explanation:

Ok, thanks for the complement of information.

So, to find the volume of that step, which is a rectangular prism, we would use the simple formula:

V = length * width * height

In this case, we have the total volume (3,500 cu in), we have the width (10 inches) and we have the height (8 inches). But we need to find out the new length in order for him to use all 3,500 cu in of cement.

So, we transform the formula above into:

length = V / (width * height)

then we plug-in the numbers:

length = 3,500 / (8 x 10) = 3,500 / 80 = 43.75

So, the new length of the step would be 43.75 inches or 43 and 3/4 inches.

7 0

3 years ago

For the following description of data, identify the W's, name the variables, specify for each variable whether its use indicates

larisa [96]

Answer:

1) C

2) B

3) D

4) B

5) C

6) B

7) F

8) B

9) B

10) B

11) D

Step-by-step explanation:

1) The restaurants were measured for each restaurant to give ratings as observations is being carried out on restaurants

2) The percentage of customers was measured to determine ratings. The food and decor can't be measured. Seating capacity is not a measurement variable.

3) The date of measurement is not mentioned

4) The measurement would have to be taken at restaurant obviously.

5) The measurments were taken to determine the ratings and decide the best restaurant

6) Since percentage of customers was measured, the customers had to be surveyed.

7) There are no categorical variables. All variables were measured on the scale of 30

8) Quantitative variable under investigation is number of customers who returned.

9) This is a survey not a design experiment. In design experiment, somethig is put on a test.

10) This is a cross-sectional data. nothing is being measurd over a period of time

11) There are no specific ocncerns since no data is mentioned in the question.

4 0

3 years ago

Solve the system by either elimination or substitution

Alex_Xolod [135]

The correct answer is A: x=2 and y=-3. Either method would work, but for example, let's use elimination. If you multiply the second equation by 5, you get: 10x +5y = 5. When you add both equations, you can then cross out both y terms. You are left with one equation that reads: 13x=26. Solving for x gives you 2. You can substitute 2 in for x in either equation and you will receive -3 for your y value.

5 0

3 years ago

The graph of the function f(x) = –(x + 3)(x – 1) Which statement about the function is true

Alex73 [517]

I think the answer is 2.The function is negative for all real values of x where x < –3 and where x > 1.

7 0

3 years ago

Find the equation whose roots are - 1/2 and1 whole number1/2​

Find the equation whose roots are - 1/2 and1 whole number1/2