Population are often modelled by exponential functions
The population will reach 1000000 people after 26.5 years
The population function is given as:
[tex]P(x) = 692600 \times 1.014^x[/tex]
When the population reaches 1000000 people, we have:
P(x) = 1000000
So, the equation becomes
[tex]1000000 = 692600 \times 1.014^x[/tex]
Divide both sides by 692600
[tex]1.444=1.014^x[/tex]
Take logarithm of both sides
[tex]log(1.444)=log(1.014)^x[/tex]
Apply logarithm to both sides
[tex]log(1.444)=xlog(1.014)[/tex]
Make x the subject
[tex]x = \frac{log(1.444)}{log(1.014)}[/tex]
Solve the logarithms of 1.444 and 1.014
[tex]x = \frac{0.15957}{0.00603}[/tex]
Divide
[tex]x = 26.5[/tex]
The value of x, is the number of years the population reaches 1000000 people.
Hence, the population will reach 1000000 people after 26.5 years
Read more about population at:
https://brainly.com/question/24581924
The sum of three consecutive odd numbers is 987. Find the numbers.
Answer:
Step-by-step explanation:
Let first odd number = a, second odd number = a +2, third odd number = a + 4
a + a + 2 + a + 4 = 987
3a + 6 = 987
3a = 981
a = 327
First odd number = a = 327
Second odd number = a + 2 = 329
Third odd number = a + 4 = 331
11. Given a matrix A, what is A^1?
A=[0 12 0 1]
[tex]\text{Since det(A) = 0, the inverse of the matrix does not exist.}[/tex]
estimate 127600 multipled by 0.93
Answer : 115,200
Step - by - step explanation :
sorry if this is wrong !
127,600 --> 128,000
0.93 --> 0.90
128,000 x 0.90 = 115,200
correct?````````````````````````````
send help send help send help
Answer:
B answer answer
[tex]the \: answer \: is \: b[/tex]
A town’s population increases at a constant rate. In 2010 the population was 56,000. By 2012 the population had increased to 81,000. If this trend continues, predict the population in 2016.
The approximate population in 2016 is 91, 604 population
Let the time taken by the population to increase be "t"Let the number of the population be PThe exponential equation representing the statement is [tex]P=P_0e^t[/tex]
If in 2010 the population was 56,000, then at t = 0, P0 = 56000Substituting into the formula will give:
P = 56000If by 2012 the population had increased to 81,000, then:
81000 = 56000e^12k
81000/56000 = e^12k
1.4464 = e^12k
ln1.4464 = 12k
0.3691 = 12k
k = 0.3690/12
k = 0.03076
Get the prediction of the population in 2016.
[tex]P = 56000e^{16(0.03076)}\\P=56000e^{0.49213}\\P = 56000(1.6357)\\P = 91,603.70[/tex]
Hence the approximate population in 2016 is 91, 604 population
Learn more on exponential function here:https://brainly.com/question/2456547
40x^-4 y^-6/(over)10x^-5 y^5
Answer:
4x/y¹¹
Step-by-step explanation:
1) take out constants
40/10 * x⁻⁴y⁻⁶/x⁻⁵y⁵
2) simplify 40/10 to 4
4 * x⁻⁴y⁻⁶/x⁻⁵y⁵
3) Use Quotient Rule: xᵃ/xᵇ=xᵃ⁻ᵇ
4x⁻⁴⁺⁵y⁻⁶⁻⁵
4) Simplify -4 + 5 to 1
4x¹y⁻⁶⁻⁵
5) simplify -6-5 to -11
4x¹y⁻¹¹
6) use rule of one: ₓ¹=ₓ
4xy⁻¹¹
7) use negative power rule: x⁻ᵃ=1/xᵃ
4x * 1/y¹¹
8) simplify
4x/y¹¹
PLS HELP HELLLLLOPPPPPP PLEASSSS BRO IM LITERALLY GONNA CRY
Answer:
F The last option
{ n = 7 h - 2}
{ n = 4 h - 2}
Step-by-step explanation: I HOPE THIS HELPS
Answer:
it's
n=2h+4
n=2h+7
(and vice versa)
The given represent 7 necklace and 4 necklace,that means add it to the no.of necklace they can make every hour and that is 2. So the correct equation is in the above answers.
Step-by-step explanation:
I hope it helps you a lot dude lovelots
#LEARN WITH BRAINLY
4. Molly has 20 tomato plants to arrange in her garden. What are all the ways Molly can arrange the tomato plants in an array?
The number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways
Find the image attached. From the figure, we can see that there are 6 rows in the array.
If there are 20 tomato plants, the ways Molly can arrange the tomato plants in an array is expressed according to the permutation formula:
20P6 = 20!/(20-6)!
20P6 = 20!/14!
20P6 = 20 * 19 * 18 * 17 * 16 * 15
20P6 = 27,907,200
Hence the number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways
Learn more on permutation formula here: https://brainly.com/question/12468032
You deposit $300 each month into an account earning 4% interest compounded monthly. How much will you have in the account in 35 years and how much total interest will you earn?
Answer:
Step-by-step explanation:
FV = PMT [((1 + r)ⁿ - 1) / r]
PMT = $300
r = 0.04/12
n = 35(12) = 420
FV = $300 [((1 + (0.04/12))⁴²⁰ - 1) / (0.04/12)] = $274,119.28
I = $274,119.28 - 300(420) = $148,119.28
PLEASE HELP!!! I ONLY HAVE A FEW MINUTES!!
Answer:
y=0.25x-6
Step-by-step explanation:
If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b
Answer:
Step-by-step explanation:
a+√b
a-√b
SOMEBODY PLZ HELP NO LINKS PLZ AN THANK YOU
The scatter plot shows the number of minutes people had to wait for service at a restaurant and the number of staff available at he time. A line that models the data is given by the equation y=-1.62x + 18 where y represents the wait time and x represents the number of staff available. Use the equation to make a conjecture about the wait if there are 10 staff members available
A the wait time will be about 18 minutes
B the wait time will be about 5 minutes
C the wait time will be about - 2 minutes
D the wait time will be about 2 minutes
Answer:
im not too sure but B
Step-by-step explanation:
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answer:
v' (0.5,1) , u' (0,1) , t' (-0.5,0) , w' (-0.5, -1)
plssssssssss help me Graph y= –73x+2.
Refer to the attachment for the graph.
[tex]\mathbb{MIREU} [/tex]
HELP THIS IS MY 2ND ATTEMPT
Answer:
8 1/10
Step-by-step explanation:
mark brainliest if correct
26.52 x 90.7 step by step
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]26.52[/tex] × [tex]90.7 = 2405.364[/tex]
[tex]OR:[/tex]
Here's a paper I wrote of your answer.
Sorry, if my picture is blurry.
Hopefully, this helps you!!
[tex]Sokka[/tex]
Select all equations that have 5
as a solution by using substitution to determine if the eqution is true.
(02.06)If a piece of ribbon is 6 and 1 over 4. feet long, how long is it in inches? 25 inches 72 inches 75 inches 84 inches
Answer:
C
Step-by-step explanation:
1 foot = 12 inches Find 1/4 foot in inches
1/4 a foot = 1/4 * 12 = 3 inches
6 1/4 feet = (6 + 1/4) * 12
=72 + 3
75 inches
Mandy spins a biased spinner 3 times. The probability that the spinner will land on blue on all 3 spins is 27/512 Calculate the probability that when the spinner is spun 3 times it does not land on blue on any of the spins
Answer:
0.158203125
i think
What’s the difference for this equation!!!
Answer:
2x^2 + 11x – 1
Step-by-step explanation:
Mrs. Jerry wants her 25 students to each have 48 buttons to make a craft project. Mrs. Jerry finds buttons in bags at a store. There are 15 buttons in each bag. How many bags of buttons does Mrs. Jeremy need to buy so she has exactly enough buttons for 25 students?
Answer:
3 bags
Step-by-step explanation:
add 15 x 15 x 15 and you should have enough bags
Ten minus three tenths of n
Answer:
[tex]10 - \frac{3}{10} n[/tex]
Step-by-step explanation:
hope that is right and hope it helps
HELPPP PLEASE!! HELPP ASAPP
Answer:
I would go option a
Step-by-step explanation:
Option 2
Step-by-step explanation:Option 2 is better because for option one after 15 years your going up $7500 and with option 2 your going up 14062.5 in 15 years.
What is the range of the following function, if the domain is {1,3,12}?
f(x) = x - 3
Select the correct answer. This table represents the boiling point of water at different altitudes.Which equation represents water's boiling point (y) based on the change in altitude (x)? Altitude (thousands of feet) Boiling Point of Water (Fahrenheit) (sea level) 0 212 0.5 211.1 1.0 210 2.0 208.4 2.5 207.5 3.0 206.6 4.0 204.8 4.5 203.9
Answer:
Step-by-step explanation:
The net income reported on the income statement for the current year was $135,500 depreciation recorded on store equipment for the year amounted to $22,400 balances of the current asset and current libaility accounts at the beginning and end of the year are as follows
a positive integer is 9 more than 14 times another. their product is 12035. Find the two integers
Answer:
415 and 29
Step-by-step explanation:
x = 14y+9
xy = 12035
(14y+9)y = 12035
y = -415/14 and 29 but it's a positive integer
so y = 29
x = 14(29)+9
x = 415
Solve using substitution.
y = -9x - 8
y = -6x – 2
Please help
Answer:
y = 10; x = -2
Step-by-step explanation:
Because both are equal to y, you can set them equal to each other.
-9x - 8 = -6x - 2
- 6 = 3x
x = -2
y = -9(-2) - 8 = 10
Equation for 13 divided by 4 equals 3.25
Answer: 13 ÷ 4 = 3.25 or [tex]\frac{13}{4} = 3.25[/tex] (Both means the same thing but you can pick which equation you want0
Step-by-step explanation: Hope this helps! :D
a) x+(3x÷2y)
b) (b⁹)²×b⁵÷b¹¹=
c) (4²)⁶×4⁷÷4¹⁶=
Answer:
a) x+3x/2y or (3x+2xy)/2y
b) b^12
c) 4^3 or 64
Step-by-step explanation: