A bird species in danger of extinction has a population that is decreasing exponentially (A = A0e^kt). Five years ago, the population was at 1400 and today only 1000 of the birds are alive. Once the population drops below 100, the situation will be irreversible. When will this happen?
Answers
Answer:
It'll take approximately 34 years from today.
Step-by-step explanation:
in order to solve this problem we first need to find the rate of change, "k", to do that we will use the given information where the population was 1400 five years ago and its now 1000. Applying this data to the equation gives us:
\(A = A_0*e^{k*t}\\1000 = 1400*e^{5*k}\\1400*e^{5*k} = 1000\\e^{5*k} = \frac{1000}{1400}\\ln(e^{5*k}) = ln(\frac{1000}{1400})\\5*k = ln(1000) - ln(1400) \\k = \frac{ln(1000) - ln(1400)}{5} = -0.06729\)
We now know the value for "k", we can estimate how many years it will take for the bird population to dip below 100. We have:
\(100 = 1000*e^{-0.06729*t}\\e^{-0.06729*t} = \frac{100}{1000}\\ln(e^{-0.06729*t} = \frac{1}{10}\\-0.06729*t = ln(0.1)\\t = -\frac{ln(0.1)}{0.06729} = 34.22\)
It'll take approximately 34 years from today.
Related Questions
The original cost of a makeup set was $30. After sales tax, Peter paid a total of $31.71. What is the percent sales tax rate?
Answers
Answer:
5.7
Step-by-step explanation:
unrelated, I love how peter is open about buying makeup. i feel as if the gender roles are garbage. #YasQueen #GoPeter #PeterIsCool #MakeupCanBeForBoysToo <3
(also peter could totally be a girl and I am misgendered a person)
Answer:
The answer is 5.7%
Step-by-step explanation:
So Peter bought the makeup set that was $30.
and had to pay $1.71.
1.71 of 30.
So you would divide 1.71 with 30.
(1.71/30)
equaling .057
Then you would multiply by 100 because there is 100% total, and so multiplying that you would move the decimal two times to the right, getting 5.7
hope this helped B)
Given OT with PQ = SR. What is the length of SR?
Answers
Answer:
42, because PQ is split in half and one side is 21, the 2 little lines going thru it show that both sides are equal meaning PQ is 42 bc of 21+21 therefore so is SR
Step-by-step explanation:
what is the median of 29, 30, 35, 42, 51, 63, 68, 66, 59, 48, 37, 29
Answers
Hello!
value 29, 30, 35, 37, 42, 48, 51, 59, 63, 66, 68
effective 2 1 1 1 1 1 1 1 1 1 1
cumulate effective 2 3 4 5 6 7 8 9 10 11 12
median:
12/2 = 6
The 6th cumulate effective corresponds to the value 42.
the median = 42
Which relationships describe angles 1 and 2?
Select each correct answer.
Answers
Answer:
complementary
Step-by-step explanation:
if you add angle 1 and 2 they equal 90 degrees that means it's complementary
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Answers
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
Help me find the values of x
1. 2x+1=9
2. 4x+3=19
3. 3x-2=7
Answers
2.)x = 4
3.)x= 3
____________________________________________________
If there's addition, use subtraction to find the value.If there's subtraction, use addition to find the value.x(y) means to multiply x with y____________________________________________________
1. In the first problem, we need to subtract 1 from 9 since there is an addition:
9 – 1 = 8
Next, divide 8 by 2, and we get:
8 ÷ 2 = 4
This means that x = 4
Finally, check the answer by:
2(4) + 1 = 9
2. In the second problem, we need to subtract 3 from 19 since there is an addition:
19 – 3 = 16
Next, divide 16 by 4, and we get:
16 ÷ 4 = 4
This means that x = 4
Finally, check the answer by:
4(4) + 3 = 19
3. In the third problem, we need to add 2 with 7 since there is subtraction:
2 + 7 = 9
Next, divide 9 by 3, and we get:
9 ÷ 3 = 3
This means that x = 3
Finally, check the answer by:
3(3) – 2 = 7
Hope this helps :)
Match each of the following inequality statements to the appropriate graph.
Answers
Answer:
1
3
2
4
Step-by-step explanation:
(1/3)^2+3^2 i have been stuck on it
Answers
The value of the nth term in a sequence of numbers given by the expression 2n -3. What is the 8th term in the sequence?
A. -22
B. 11
C. 13
D. 26
Answers
Answer:
C. 13
Step-by-step explanation:
If the nth term is given by 2n-3 and you're being asked for the 8th term, n=8, plug in 8 for n. 2(8)-3=13
can someone pls help? i’m kinda lost i’m no good at math.
Answers
Answer:
subtraction property of equality
Step-by-step explanation:
you're separating everything on the side of w to the other
It is not possible to calculate the theoretical probability of making a basketball shot, because there are too many factors involved. But you can use experimental data to estimate the probability.
ABC Insurance analyzes the data on half-court shot promotions to determine the insurance costs for future clients. Over the past 10 years, contestants have made 2 shots at 2500 different events.
Calculate the relative frequency of a contestant’s making a half-court shot.
Enter your answer, as a percent, in the box.
\(P(E)=\\Number-of-time-event-E-has-happened\\ ------------------------\\n\)
Answers
Answer:
45
Step-by-step explanation:
what is -1,4,-5,7,-3 least too greatest
Answers
Answer:
-5, -3, -1, 4, 7
Step-by-step explanation:
The biggest negatives are least while the biggest positives are greatest.
HELP ASAP!! A student is painting a brick for his teacher to use as a doorstop in the classroom. He is only painting the front of the brick. The vertices of the face are (−4, 2), (−4, −11), (4, 2), and (4, −11). What is the area, in square inches, of the painted face of the brick?
A. 42 in2
B. 52 in2
C. 104 in2
D. 128 in2
Answers
Answer:
104in2
Step-by-step explanation:
The area, in square inches, of the painted face of the brick is Option C 104 \(in^{2}\).
Using the Quadrant system of the Number line
B (-4,2) lies in the 2nd quadrant.
C (-4,-11) lies in the 3rd quadrant
A (4,2) lies in the 1st quadrant
D (4,-11) lies in the 4th quadrant
Length of Side AB= Length of Side CD= Distance between x coordinate of A & B OR Between C & D i.e. 8 in
Length of Side BC= Length of side AD= Distance between y coordinate of A & D OR Between B & C i.e. 13 in
Area of the Square ABCD= (length of Side AB or CD) X (Length of Side BC or AD)
= (8 x 13) \(in^{2}\)
= 104 \(in^{2}\)
Thus, Area of square is 104 \(in^{2}\).
To learn more about area: https://brainly.com/question/25292087
if you have rusty spoons what substances are on those spoons
Answers
Answer:
Iron Oxide
Step-by-step explanation:
Rust is Iron mixed with oxygen
Rust is iron mixed with oxygen
Help me please il give 20 points!
Answers
Answer: 1. a. 15 b. 11 c. 2 d. 7 e. 5.5
2. Stem: Leaf:
1 9
2 5, 9
3 3, 3, 8
4 0, 7, 9
5 4, 5
6 1, 5
7 2, 7
8 1
3. a. 13 inches b. I'm pretty sure that it is the second quarter because there is more snow. c. The first quarter because it's section is more spread out among the numbers.
Step-by-step explanation:
2. Stem:
Leaf:
9
2
5, 9
3
3, 3, 8
4
0, 7, 9
5
4, 5
6
1,5
7
2, 7
8
1
3. a. 13 inches
b. I'm pretty sure that it is
the second quarter because there is more show.
c. The first quarter because it's
section is more spread out among the numbers.
Step-by-step explanation:
Harrison saved $48.97 from his first paycheck and $67.09 from his second paycheck. How much did he save from the paychecks?
Answers
Answer:
$116.06
Step-by-step explanation:
48.97 + 67.09 = 116.06
Answer:
$116,06
Step-by-step explanation:
48,97 + 67,09
Select the correct answer.
Which data set has the widest spread?
A.
data set A: 3, 1, 2, 6, 7, 2, 5
B.
data set B: 4, 9, 4, 5, 3, 6, 8
C.
data set C: 1, 4, 6, 5, 7, 8, 5
D.
data set D: 4, 3, 4, 7, 2, 3, 1
E.
data set E: 5, 1, 4, 2, 6, 9, 2
Answers
Answer:
D
is the answer plss forgotten about everything and focus 9n your work
Leena knits 10 rows in 12 minutes.
At this pace, how long will it take her to knit the next 25 rows?
Enter your answer in the box.
Answers
Answer:
It will take 30 minutes!
Hope this helps! :D
Step-by-step explanation:
Since 10 rows=12 minutes
10rows + 10rows = 20 since each 10 rows is 12 minutes it’s
12 minutes+ 12 minutes = 24
But we still have the 5 rows so that would be have of 12 minutes and that’s 6 minutes so
24 minutes plus the 6 minutes is
30 minutes
Danielle sells beauty supplies and earns a base
salary of $450 per week plus a 9% commission on
sales. During one particular week, she sells $895
worth of beauty supplies. How much commission
does she make for that week?
Answers
Answer:
Add, subtract, multiply, divide
Step-by-step explanation:
A pizza has 8 slices and sells for $12. At this rate, how much would 15 slices cost?
Answers
Answer:
$22.50
Step-by-step explanation:
8 Slices = $12
12/8 = 1.5
$1.50 = One Slice of Pizza
$1.50*15 = $22.50
Find the area of the figure
Answers
Answer:
The answer is E
551.6ft²
Step-by-step explanation:
Area of shape =Area of rectangle +Area of circle
A=25×15+22/7×7.5²
A=375+176.8
A=551.7ft²
May someone help me with this. The question is in the picture.
Answers
Answer:
34
Step-by-step explanation:
1. 680×5% where what I do, 680×0.05 because it's easier for me. Whatever way you do, you get the same thing.
2.You got the answer! 680×0.05=34
(I'M NOT GOOD AT EXPLAINING THINGS SO DON'T SUE ME IF YOU DIDN'T GET IT :] )
what is the equation of this line
Answers
Answer:
y=4x-6
Step-by-step explanation:
The equation of the line is y=mx+c where m is the slope and c is the intercept.
To find the slope, take two points \((x_{1},y_{1})\) and \((x_{2},y_{2})\) and use the equation \(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\). Let's take (1,-2) and (2,2) as our two points:
\(m=\frac{2-(-2)}{2-1}=\frac{4}{1}=4\)
The y-intercept is where the line crosses the y-axis. We can see from the graph that the line crosses the y-axis at -6, therefore c= -6.
Now we can write the equation of this line: y=4x-6
Answer:
The answer is y=4x-6
Stephen has $500 in an account for 9 months at a compound interest rate of 7.5%. At the end of 9 months, how much money is in his account?
Answers
Answer:
8.12
Step-by-step explanation:
Stephen has approximately $532.72 in his account at the end of 9 months with a 7.5% compound interest rate.
We can use the formula for compound interest to find the amount of money in Stephen's account at the end of 9 months:
A =P \((1 + r/n)^_(nt)\)
where:
A is the amount of money in the account at the end of the period
P is the principal (initial amount) in the account
r is the annual interest rate (as a decimal)
n is the number of times the interest is compounded per year
t is the time (in years)
We know that P = $500, r = 0.075 (since the interest rate is 7.5%), n = 12 (since the interest is compounded monthly), and t = 9/12 (since 9 months is three-quarters of a year). Substituting these values into the formula, we get:
A = \($500(1 + 0.075/12)^_{(12*(9/12))\) = \($532.72\)
Therefore, Stephen has approximately $532.72 in his account at the end of 9 months.
To learn more about compound interest rate, refer:
https://brainly.com/question/8729336
How many different possible outcomes are in the sample space?
Answers
Work Shown:
3 choices for the 1st column2 choices for each subsection in the next column3 choices for each subsection after that3*2*3 = 18 different outcomes possible in the sample space. This is the number of possible pathways in the tree diagram.
PLEASE HELP 5TH GRADE MATH! Select the best estimate of the product of 18 x 31 = ____
A. 500
B. 600
C. 700
D. 800
Answers
Answer:
it would be 600 because if you round 18 you get 20 and if you round 31 you get 30. 30x20=600
Step-by-step explanation:
Answer:
I would say the answer is B) 600
Step-by-step explanation:
18 x 31 is 558
so 58 is above 50 thats why i would round it to 600
can i get brainliest
Please Help! Explain or will be deleted!
If the probability that Carson will win a basketball game is 4/9. If he plays 180 games, how many can you expect him to win?
Answers
20 times 4 is 80
There u go it’s 80
4/9 = x/180
So you multiply 180 times 4 and then divide by 4
Or you can scale the proportion and do 4 times 20 to find x
Choose an expression that is equivalent to negative three raised to the fourth power divided by negative three raised to the second power.
negative three raised to the second power divided by negative three raised to the fourth power
negative three raised to the sixth power divided by negative three raised to the fourth power
negative three divided by negative three raised to the fifth power
negative three raised to the fifth power divided by negative three
Answers
The expression is equivalent to the negative three raised to the sixth power divided by the negative three raised to the fourth power option (B) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
Negative three raised to the fourth power divided by negative three raised to the second power.
The word expression can be written as mathematically,
= (-3)⁴/(-3)²
As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
After applying the arithmetic operation:
= (-3)²
= (-3)x(-3)
= 9
Thus, the expression is equivalent to the negative three raised to the sixth power divided by the negative three raised to the fourth power option (B) is correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ5
find the value of x
thank you in advance for your help!
Answers
Answer:
52
Step-by-step explanation:
Answer:
x= 12
Step-by-step explanation:
Please see attached picture for full solution.
Feel free to ask if you have any queries :)
x-12-23+7.5=1 ; what is the value of x?
Answers
Answer:
X=28.5
Step-by-step explanation:
Hope this helps!
Answer:
x=28.5
Step-by-step explanation:
x=1+12+23-7,5
x=13+23-7,5
x=36-7,5
x=28,5
:))