Answer:
20.6
Step-by-step explanation:
The exponential function to solve the problem.
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
A = population in time t.
[tex]A_0[/tex] = Initial population.
r = growth rate.
t = time
The number of days taken to triple the population is 20.7 days.
What is a function?
A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The exponential function to solve the problem.
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
A = population in time t.
[tex]A_0[/tex] = Initial population.
r = growth rate.
t = time
Now,
A = 2[tex]A_0[/tex]
t = 13
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
[tex]2A_0[/tex] = [tex]A_0e^{13r}[/tex]
2 = [tex]e^{13r}[/tex]
Taking logs on both sides.
log 2 = 13r log e
0.30 = 13r
r = 0.30/13
r = 0.023
Now,
A = 3[tex]A_0[/tex]
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
3 = [tex]e^{rt}[/tex]
log 3 = rt
0.48 = 0.023t
t = 0.48/0.023
t = 20.7 days.
Thus,
The number of days taken to triple the population is 20.7 days.
Learn more about functions here:
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please help solve this.
Can someone help me please
Answer:
krkk4k4k
Step-by-st man this really is an annoying question
A house has increased in value by 36 percent since it was purchased. If the current value is 306000 what was the value when it was purchased?
Answer:
$225,000
Step-by-step explanation:
Step-by-step explanation:
To calculate the percentage change we will apply the formula:
p= N-O/O *100
p is the increased percentage
N is the current value
O is the old value.
Substitute the values in the formula:
36 = 306,000 - O/O *100
Divide both the sides by 100
36/100 = 306,000 - O/O *100/100
36/100 = 306,000 - O/O
Now multiply O at both sides
36/100 * O = 306,000-O/O * O
At R.H.S O will be cancelled by O
At L.H.S 36/ 100 = 0.36
0.36 O= 306,000-O
Combine the like terms:
0.36 O+O =306,000
1.36 O = 306,000
Divide both the terms by 1.36
1.36 O/ 1.36 = 306,000/1.36
O= $225,000
Therefore when the house was purchased its value was $225,000....
Which is greater 0.691 or 3.5
Answer:
3.5 is greater
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
it is known as common sense
Look at the picture and answer 1,2,3 and if it is right i will mark you brainless ❤️
Answer:
1) angle d
2) angle e
3) angle f
Step-by-step explanation:
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 12 feet more than the length of the shortest side.Find the dimensions if the perimeter is 136 feet
x - the shortest side
2x
x + 28
The sum of these must be equal to the perimeter of the flower bed, so
x + 2x + x + 28 = 184
4 x + 28 = 184 Combined like terms
4x = 156 Subtracted 28 from both sides
x = 39 Divided both sides by 4.
So the dimensions are 39 feet, 78 feet, and 67 feet
Evaluate the following expression. y + 9 when y = 12
Answer:
21
Step-by-step explanation:
y+9 = ?
y=12
12+9=21
Answer:
3
Step-by-step explanation:
Juanita drive 40 miles in 48 minutes At this rate, she will drive _______ miles in 6 minutes
Does anyone know the answer to this question
What’s 1/2 divided by 6 plz help
Answer:
3
Step-by-step explanation:
Because .5÷6=3
and .5 is 1/2 as a decimal
how many minutes is 40% of 120 minutes?
Answer:
48 mins
Step-by-step explanation:
40 x 120 /100
= 48
Is this correct??? Someone please help
Answer:
the line is inconsistent:)
Step-by-step explanation:
PLEASE HELP! IMAGE ATTACHED
Show your work plssss
Answer:
I7.
Step-by-step explanation:
at r = 13,
r + 4 = 13 + 4 = 17
QUESTION 2
Solve the equation for exact solutions.
arccos x + arccos 2x = arccos
1/2
Complete the first step in the solution
4x= 24 4x/ = 24/
4x6=24. i hope this helps if not im sorry
Help me please don’t lie to me
Answer:
1. yes
2. no
Step-by-step explanation:
1. 3x - 4y ≥ 18
3(2) - 4(-3) = 6 + 12 =18
18≥18 this is a solution
2. 4x + y < 0
4(1) + (-4) = 4 - 4 = 0
0 equals 0, 0 cannot be less than 0, they are the same
xoxo, your highness...Please help!! I just need help with question 40!!
Answer:
a. 70%
b. 6 more times
c. subtract from 100% with percentages, subtract from 1 with decimals.
Step-by-step explanation:
a. To find the percentage of red and yellow, skip back the decimal point two times: 0.26 > 26% 0.04 > 4%
Add all of the percentages together to get 70%
b. To find how many times more students said red than yellow, divide yellow from red. It shows you how many times yellow can go into red, giving you the correct answer.
0.26 ÷ 0.04
26 ÷ 4
6
c. 14% + 26% + 40% + 4% = 84%
100% - 84%
16%
(do the same thing with decimals and pick your favorite method)
:)
If x2 = 10, what is the value of x?
Answer:
The value of x is 5
Step-by-step explanation:
5 x 2 = 10
x= ±[tex]\sqrt{10} =[/tex] ± 3.1623
simplifyied~x = 5
A chemist has 100 ml of 25% acid solution. how much of the solution does she need to drain and replace with 70% acid solution to obtain 100 ml of 60% acid solution?
Answer:
The proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.
Step-by-step explanation:
Since the chemist has 100 ml of solution with 25% acid, and wants to obtain a solution of 60% acid by mixing the first with another 70% acid solution, to determine how much of each solution the chemical should use necessary to perform the following calculation:
70 x 1 + 25 x 0 = 70
70 x 0.9 + 25 x 0.1 = 65.5
70 x 0.8 + 25 x 0.2 = 61
70 x 0.7 + 25 x 0.3 = 56.5
Therefore, the proportion to be used is between 70% and 80% of acid at 70%, and 20% to 30% of acid at 25%.
70 x 0.75 + 25 x 0.25 = 58.75
70 x 0.76 + 25 x 0.24 = 59.2
70 x 0.77 + 25 x 0.23 = 59.65
70 x 0.78 + 25 x 0.22 = 60.1
Thus, the proportion should be between 77 and 78% of acid at 70% and 22 and 23% of acid at 25%.
70 x 0.778 + 25 x 0.222 = 60.01
Thus, finally, the proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.
solve the equation 4p + 2 =22,using a double number line
Answer:
the answer is 5
Step-by-step explanation:
Laura has 160 pounds of green beans at her vegetable stand. If she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?
A
18.75%
B
81.25%
C
23.07%
D
16%
Given:
Laura has 160 pounds of green beans at her vegetable stand.
She sells 10 pounds of green beans every hour.
To find:
The percent decrease in green beans after 3 hours.
Solution:
We have,
Beans sold in 1 hour = 10 pounds
So, Beans sold in 3 hours = 30 pounds
Decrease in green beans after 3 hours is 30 pounds.
Now,
[tex]\%\text{Decrease}=\dfrac{\text{Decrease in green beans after 3 hours }}{\text{Initial amount of green beans}}\times 100[/tex]
[tex]\%\text{Decrease in green beans after 3 hours}=\dfrac{30}{160}\times 100[/tex]
[tex]\%\text{Decrease in green beans after 3 hours}=\dfrac{300}{16}[/tex]
[tex]\%\text{Decrease in green beans after 3 hours}=18.75\%[/tex]
Therefore, the correct option is A.
A local store has a puppy that weighs 88 ounces. How many pounds does the puppy weigh given that 1 pound = 16 ounces?
Divide 88 by 16
88/16 = 5.5
It weighs 5.5 pounds
Answer:
5.5
Step-by-step explanation:
if you divide 88 ounces by 16 it will give yout he answer of 5.5.
88/16 = 5.5
the amount of sod needed to cover the circular green on a golf course?
Answer:
you would need just over 261 pounds of seed for 1 acre.
Step-by-step explanation: For example, if the recommended seeding rate for a specific blend of grasses is 6 pounds per 1,000 square feet, multiply 6 by 43.56 to get 261.36. Thus you would need just over 261 pounds of seed for 1 acre.
The scale on a map indicates that 1 inch corresponds to an actual distance of 115 miles . Two cities are 7.5 inches apart on the map . What is the actual distance between the two cities?
Can someone please help me with this question I don’t understand it. Thank you
Answer:
it is 862.5
Step-by-step explanation:
each inch is 115 miles, so if theres two inches theres double the amount that there would be if there was 1 inch, so if theres 7 inches then you would have 7 times the amount it would be if there was 1 inch, in this situation theres 7.5 so you would multiply the 115 miles by 7.5 becuase that's how many inches there is, so multiplying that is the same as adding 115 plus 115 plus 115, and so on till you get the amount you need. did this help?
Which of the fractions is equivalent to 2/5 ?
5/2
4/25
12/15
4/10
Answer:
4/10
Step-by-step explanation:
4/10 simplifies to 2/5
4/2 = 2
10/2 = 5
What is the interval used in the frequency chart shown below?
A.4
took the test
╰(*°▽°*)╯(☞ﾟヮﾟ)☞
Answer:
the answer is a i got a hundred on that tes a year ago
Step-by-step explanation:
A computer manufacturer has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by where x is the number of days since the start of the job. Find the expenditure if the job takes 8 days.
Answer:
The expenditure would be $ 8600
Step-by-step explanation:
If the cost is given by the function
C(x)= 10x + 6 where x is the number of days
The cost for 1 day would be
C(1)= 16 *100 = 1600 $ ( the expenses are in hundreds of dollars)
Then Putting x= 8 in the given equation we get
C(8)= 10(8) + 6
= 86
Multiplying 86 by 100 because expenditure rate per day is in hundreds of dollars
The expenditure would be $ 8600
What happens when a barrel goes over the waterfall?
a. The barrel speed stays the same
b. The barrel slows down.
c. The barrel speeds up.
d. The barrel stops
PLEASE SEND HELP!! I NEED THE ANSWER.......QUICK!!! WILL GIVE THE BRAINLEST!
Iron makes up 4.5% of the Earth's crust. Which is another way to write 4.5% of a value?
Answer:
0.045 or 9/2
Step-by-step explanation: