The number of wolves in a wildlife preserve is estimated to have increased continually by 3% per year. If the population is now estimated at 5,400 wolves, how many were present 10 years ago?

Answers

Answer 1
Answer: For the answer to the question above, Well, first let us put up a functional equation. 
Since this is an exponential function, it'll be: f(t)=54,000*1.03^t 
But we want to know how many wolves there were 10 years ago. 
For that, we simply "turn time around", as in: f(t)=54,00*1.03^-t 
This displays a decreasing number of wolves, as you turn back time. 

Now we simply calculate 54,000*1.03^-10 
which is approximately 40,200?

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Tyrese bought 35 tickets to use at the carnival. He used some of the tickets to ride the bumper cars and play some games. now he has 28 tickets left what is the percent of decrease in the number of ticket that he has?

Answers

Answer:

20%?

Step-by-step explanation:

Final answer:

Tyrese has used 7 out of his 35 initial tickets. This translates to a 20% decrease in the number of tickets he has.

Explanation:

Tyrese started with 35 tickets and now has 28 tickets. To find the percent of decrease in the number of tickets, first, we need to find how many tickets he has used. He has used 35 - 28 = 7 tickets.

Next, we find the percentage decrease using the formula:
Percent Decrease = (Decrease/Original amount) x 100%
So in this case, the decrease is 7 tickets, and the original amount is 35 tickets.
Percent Decrease = (7/35) x 100% = 20%.

Therefore, the percent of decrease in the number of tickets that Tyrese has is 20%.

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Calculator What is the area of this parallelogram? 44 cm²

O 55 cm²

O 99 cm²

O220 cm²

D4 cm F 11 cm 1 I A 5 cm E4 cm B 5 cm C​

Answers

The calculated value of the area of the parallelogram is 99 square cm

Calculating the area of the parallelogram

From the question, we have the following parameters that can be used in our computation:

The parallelogram

Where we have

Height = 11 cm

Base = 5 cm  + 4 cm = 9 cm

The area of the parallelogram is calculated as

Area = Base * Height

Substitute the known values in the above equation, so, we have the following representation

Area = 11 * 9

Evaluate the product of 11 and 9

So, we have the following representation

Area = 99

Hence, the area of the parallelogram is 99 square cm

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Im so confused, how do i get the variance with just the standard deviation

Answers

Answer:

To figure out the variance, divide the sum, 82.5, by N-1, which is the sample size (in this case 10) minus 1. The result is a variance of 82.5/9 = 9.17. Standard deviation is the square root of the variance so that the standard deviation would be about 3.03.

hope this helps!

At the zoo,there were 3 times as many monkeys than lions.Tom counted a total of 24 monkeys and lions.How many monkeys were there?

Answers

so monkeys/3=lions or monkeys=3(lions)
monkeys+lions=24
subsitute monkeys=3(lions) for monkeys in the second equation
3(lions)+lions=24
add like terms
4lions=24
divide both sides by 4
lions=6
subsitute lions=6 into second equation
monkeys+6=24
subtract 6 from both sides
monkeys=18
3x-\ monkeys\nx-\ lions\n\n3x+x=24\n4x=24\ \ \ \ divide\ by\ 4\nx=6\n\n3x=18\n\nThere\ are\ 18\ monkeys\ and\ 6\ lions.

Plss Help ASAP!!The distance from Houston, Texas to Corpus
Christi, Texas is 210 miles. If the ratio of miles to
inches on a map is 2:0.25, how many inches
represent the distance from Houston to Corpus
Christi?

Answers

Answer:

26.25 inches

Step-by-step explanation:

2/.25

=8

210/8

=26.25

3. What is the slope of the table shown? Cars Washed Number Money ($) 5 40 10 80 15 120 20 160​

Answers

The slope is 8.
(5,40) (10,80)
80-40=40
10-5=5
40/5=8