1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lorasvet [3.4K]
1 year ago
10

Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number o

f trees after 20 years? By how many?

Mathematics
1 answer:
Maksim231197 [3]1 year ago
3 0

The given population models for the trees is given as:

\begin{gathered} A(t)=115(1.025)^t \\ B(t)=82(1.029)^t \end{gathered}

It is required to find which forest will have a greater number of trees after 20 years and by how many.

To do this substitute t=20 in the equations of the models:

A(20)=115(1.025)^{20}\approx188B(20)=82(1.029)^{20}\approx145

Hence, forest A has a greater number of trees after 20 years.

Calculate the difference:

188-145=43

It follows that forest A has a greater number of trees than forest B by 43 trees.

After 20 years, forest A has a greater number of trees than forest B by 43 trees.

You might be interested in
Round 76070.7376413 to 2 decimal places
lakkis [162]
<h3>Answer:</h3><h2>76,070.74</h2><h3>Step-by-step explanation:</h3>

When you round decimals, your looking at the place value, then your looking at the place value next to it.

<u>If you see a number that is 0 - 4 behind the place value your rounding to, you do nothing to the place value.</u>

<u>If you see a number that is 5 - 9 behind the place value your rounding to, you add one to the place value.</u>

<h3><u>Example 1:</u></h3>

Round the Number 71.25 to the <u>Tenths place.</u>

<u>When we go to the place value, Tenths, we go behind the Tenths place value:</u>

71.<em>2</em><u>5</u>

<u>2 is the Tenths place value, 5 is the place value behind the Tenths place value.</u>

<u>Since 5 is able to be rounded up, you add one to the tenths place.</u>

<u>It should be rounded to 71.3. There cannot be numbers where you've rounded, just zeroes.</u>

<h3><u>Example 2:</u></h3>

Round the Number <u>3,345.8493</u> to the <u>Thousands place.</u>

3 is the Thousands place, 3 is the place value behind the Thousands place value.

3 is not in between 5 - 9. So, the rounded answer is 3,000.

When numbers behind the Place Value cannot round the Thousands place value, it turns into zeroes too.

Answer:

Round  76070.7376413 to the Hundredths place value.

The 3 is the Hundredths place value, the 7 is the place value behind the Hundredths place value.

7 qualifies for the numbers 5 - 9.

Therefore, you add 1 to the hundredths place value.

Your final answer is (76,070.74)

Best of Luck to you.

If you have any questions, feel free to comment below.

Merry Christmas!

8 0
3 years ago
angle 0 is in quadrant 1 with sin0 = 2/5. Use the Pythagorean identity, sin^2 0 + cos^2 0 = 1, to calculate the value of cos0 as
Gwar [14]
We know that
sin²x+cos²x=1
so 
clear cos x
cos x=(+/-)√[1-sin²x]

in this problem
<span>Angle 0 is in quadrant 1 -----> cos o and sin o are positive
</span>sin o=2/5
cos x=√[1-(2/5)²]----> cos o=√[1-4/25]----> cos o=√[21/25]---> cos o=√21/5

the answer is
cos o=√21/5

7 0
3 years ago
Which of the following is an example of a null hypothesis? A. The average quantity of detergent put into a box by this filling m
gavmur [86]

Answer:

C

Step-by-step explanation:

Null hypothesis: hypthesis to test that there is no significant difference between the specific characteristic of a population. Analysts look to reject a null hypothesis

A. the shipping company's average delivery time is different from 3 days. This is an example of alternative hypothesis. Null hypothesis is writtien as a claim

B. This again is an example of alternate hypthesis. The claim that mean is 0.03 is rejected with the results

C. This is a claim

D. This is rejection of a claim that mean is 1 pound

E. This is rejection of claim that average delivery time is 3 days.

5 0
3 years ago
Help me please due in 30 minutes !
scoundrel [369]

Answer:

B

Step-by-step explanation:

5 0
2 years ago
Mark achin sells 3,600 electric motors each year. the cost of these is $200 each, and demand is constant throughout the year. th
Vedmedyk [2.9K]
Summary of information:
total output = 3600 units per year
split into 18 equal orders
cost per order = $40
cost to store a unit for one year = $20
lead time (i.e. storage before shipping) = 5 days

Solution:

quantity split into 18 orders, so 3600/18= 200 units per order.
Order cost = $40 * 18 orders = $720 ..........................(A)
Storage cost:
Each order has 200 units, stored for 5 days = 200*5=1000 unit-days
storage needed for 18 orders = 1000*18 = 18000 unit-days = 50 unit-years
Total storage cost = 50 unit-years * $20 / unit year = $1000...........(B)

Total ordering cost = (A) + (B) = $720+$1000 = $1720


4 0
3 years ago
Other questions:
  • 24m^2n+30mn^2+18mn, a sweet challenge!
    7·2 answers
  • A wedding cake has a diameter of 12 inches. The cake decorator needs to know how many strawberries he will need to put around th
    8·2 answers
  • box A has 4 marbles.box A has 5% of the marbles.what is the total amount of marbles in all four boxes
    8·2 answers
  • The graph of g(x) = x - hl+k is shown on the coordinate grid. What must be true about the signs of h and k
    14·2 answers
  • Show that the plane and line with the given equations intersect, and then find the acute angle of intersection between them. (Gi
    10·1 answer
  • Solving Linear equations 5x + 1 = -2x - 8
    12·2 answers
  • Marta put $4.89 in her coin bank. Each day she added 1 quarter, 1 nickel, and 6 pennies. How much does she add each day? How muc
    10·1 answer
  • The perimeter of a square P depends on the length of its sides S this can be written in function notation as P( s) what is the b
    15·1 answer
  • What is the domain of 3x^2-x-2
    7·1 answer
  • A<br> 1080<br> B<br> Reflex Angle B =<br> degrees.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!