The population of insects in an experiment has
been increasing by 9% each week. If there were 16
insects at the beginning of the experiment, predict
how many insects there will be after 8 weeks.
First, complete the equation:
?
=
Future Amount = 16 (1 + 0.09)
个
个
time
initial amount
periods
growth rate
Answers
Answer:
8
Note: I got it right on the same test you took as me.
The value of time period for the equation is 8.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The population of insects is increasing by 9% each week = 0.09
At the beginning of the experiment, number of insects = 16
Number of insects increased per week
⇒ [tex]16+16(0.09)[/tex]
Let the time period be x.
Number of insects increased after 8 weeks can be found by the equation,
[tex]Future Amount = 16 (1 + 0.09)^{x}[/tex]
⇒ [tex]Future Amount = 16 (1 + 0.09)^{8}[/tex]
Hence we can conclude that the value of time period for the equation is 8.
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Related Questions
Make my life easier and do 5-7 please.
Answers
Answer: 5. -64 6. 81 7. 144
Step-by-step explanation:
5. -4 x -4 = +16. +16 x -4 = -64
6. -3 x -3 = 9. 9 x -3 = -27. -27 x -3 = 81
7. kiera + 11 of her friends = 12 people total if 12 people each give fliers to 12 people, its 12 x 12 which is 144
Answer:
(-4)³; (-3)⁴; 12²Step-by-step explanation:
Q5-4 * - 4* - 4 = (-4)³Q6-3 * -3 * -3 * - 3 = (-3)⁴Q7Each 12 people gives 12 fliers to others. The number of people who gets fliers is:
12 * 12 = 12²Two-thirds of the students in your class are boys. One eighth of the boys play soccer what fraction of the kids in your class are boys who play soccer
Math period 4 — 9th Grade
Answers
Answer:
7 of the kids in your class play
Step-by-step explanation:
Hope this helps you :)
Simplify 6 to the 3rd power
Answers
Answer:
216Step-by-step explanation:
6 · 6 · 6 = 216
Hope this helped. A brainliest would be very much appreciated. (I need 5 brainliest so I can level up) :)
Answer:
2 √ 3 or 3.46410161
Step-by-step explanation:
I don't know math I just look it up tbh. Hope it helps ya though.
i need help with algebra 2 pleasee
Answers
Answer:
[tex]x=\pm \sqrt{21}/7[/tex]
Step-by-step explanation:
We can add 9 to both sides of the equation to get [tex]21x^2=9[/tex].
We can divide both sides of the equation by 21 to get [tex]x^2=9/21[/tex].
We take the square root of both sides of the equation to get [tex]x=\pm \sqrt{9/21}[/tex].
However, that isn't in the form we need.
We know that [tex]\sqrt{9/21}=\sqrt{9}/\sqrt{21}=3/\sqrt{21}=3\sqrt{21}/(\sqrt{21}*\sqrt{21})=3\sqrt{21}/21=\sqrt{21}/7[/tex]
so the answer is really [tex]x=\pm \sqrt{21}/7[/tex] and we're done!
Cómo se resuelve paso a paso?
2x+3=18
Answers
=>2x+3=18
=>2x=18-3
=>2x=15
=>x=15/2
please i need ASAPPPPP ILL GIVE BRAINLIEST!!!!
Hans baked 51 cookles. His family ate m of them. Using m, write an expression for the number of cookles that remained. + ローロ ロメロ
Answers
Answer:
[tex]51-m=n[/tex]
Step-by-step explanation:
M - Number of cookies his family ate
N - The remaining number of cookies left
The difference of an integer p and -8 is 3.Find the value of p
Answers
Answer:
-11 or -5
Step-by-step explanation:
If the difference here means subtraction then it's -11, if it means the opposite, then it's -5
Find the slope of the line that passes through the points (9, -2) and (-3. -2). Write the equation in
slope-intercept form.
Answers
Answer:
slope: zero/none
equation: y = -2
Step by Step:
1) find the slope - change in y / change in x
-2+2/9+3
0/12
0 <- zero slope = no slope
2) plug in and solve for y-intercept
( -3, -2 )
-2=(0*-3)+b
b=-2
because the slope was zero, we know that it's a horizontal line
therefore the only equation we can get from this is a y= equation
3) plug in values to get equation
y = -2
slope is zero
Ian's car can go 231 miles on 7 gallons of gas. During a drive last weekend, Ian used 5 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas he used.
Answers
Answer:
165 miles
Step-by-step explanation:
part 1
231/7= 33 mpg
33x5 = 165 miles
part 2
distance/mpg = gas used
for example: if you were told he went 200 miles,
200/33 = 6.06 gallons of gas
Given :
Ian's car can go 231 miles on 7 gallons of gas.
During a drive last weekend, lan used
5gallons of gas.
To find :-
How far did he drive?
Solution :-
According to Question ,
Car can go 231 mi on 7 gallons of gas.
Using Unitary Method ,
On 1 gallon of gas it will go 231/7mi
On 5 , it will go 231/7*5 = q65 miles
Hence the required answer is 165 miles
A fierce guard dog is tethered by a 15 m chain to a post that is 6 m from a straight path. For what distance along the path is a trespasser in danger from the dog?
Answers
The distance from the road where an intruder would be in danger is 27.48 m.
To know how far from the road an intruder is in danger due to the dog, it is necessary to carry out the following procedure:
Establish the range of the dog with a circle of 15 meters in radius around the post on which he is tied.
In this part it can be inferred that a part of the path is in the range of the dog between points B and D (In this area the intruder would be in danger)
From this we know the following data:
Length AB = 15mLength AD = 15mLength AC = 6mTo know the length of points BC and CD we must perform a calculation using the formula of the Pythagorean theorem.
BC = [tex]\sqrt{15^{2} - 6^{2} }[/tex]BC = [tex]\sqrt{225-36}[/tex]BC = [tex]\sqrt{189}[/tex]BC = 13,74 mLater we use the same procedure to find the length CD.
CD = [tex]\sqrt{15^{2} - 6^{2} }[/tex]CD = [tex]\sqrt{225-36}[/tex]CD = [tex]\sqrt{189}[/tex]CD = 13,74 mFinally, we add both lengths (BC + CD) to know the distance in which an intruder is in danger within the dog's range.
BC + CD = BD = 27,48 mLearn more in: https://brainly.com/question/14930619
What is the result when (-12) is subtracted from (- 8) ? *
Answers
Answer:
-20
Step-by-step explanation:
All that you have to do for this question is just form the equation:
-12-8=x
And solve, which is:
-20
Find the distance between the points (–4, 6) and (–1, 5).
Answers
Answer:
√10 . May be this can help.
Solve each proportion; ( show your work )
1. 6/7 = ?/42
2. 12/8 = 30/?
Answers
Answer:
6/7 = 36/42
12/8 = 30/20
Step-by-step explanation:
(6*?) / (7*6) = ?/42
(6*6) / (7*6) = 36/42
(12*2.5) / (8*?) = 30/?
(12*2.5) / (8*2.5) = 30/20
Hope this helps!
Can someone help pls I got confused
Answers
#1
x=46°(Opposite interior angles)#2
[tex]\\ \sf\longmapsto x+68=180\implies x=180-68=112°[/tex]
#3
x=111°(Corresponding interior angles)#4
x=37°(Opposite angles)#5
x=58°(Opposite interior angles)#6
x=175°(Corresponding interior angles)#7
x=25°(Corresponding interior angles)Answer:
Hey there,
(1) x = 46° ( Alternative angles are equal)
(2) x + 68 = 180 ( Interior angles are added up to 180° )
x = 112°
(3) x = 111° ( Corresponding angles are equal)
(4) x = 37° ( Opposite angles are equal )
(5) x = 58° ( Alternative angles are equal )
(6) x = 175° ( Corresponding angles are equal )
(7) x = 26° ( Corresponding angles are equal )
Hope this helps you
Let me know if you have any other questions :-)
Michael walks a group of dogs 3 miles every day. The graph below shows the relationship between the number of dogs in the group and the distance he walks the dogs each day
Answers
Helpp! Multiply :-19x(x+11)
Answers
Answer:
-19x (x+11) = -19[tex]x^{2}[/tex] - 209
12+15-3
Please show me the steps cuz im very confused. I hate math and ive a test for this tomorrow
Answers
Answer:
24
Step-by-step explanation:
Add 15 to 12 which is 27 then subtract 3 from 27 which gives you 24
Answer:
it's 24
Step-by-step explanation:
first add up the 12 and 15 that equals 27 now subtract 3 that's going to be 24
hhhhhjklllkbvcccccgghhhjjughujhbhj
Answers
Step-by-step explanation:
give me brainly lsssssss
4. Michael observed he felt the pain of losing a $20 bill more than he felt the joy of finding it on the sidewalk the
week beforeThis is a result of...
Sunk cost
Overconfidence
Endowment effect
Answers
Answer:
Endowment effect
Step-by-step explanation:
Michael observed he felt the pain of losing a $20 bill more than he felt the joy of finding it on the sidewalk the week before.
This is a result of the endowment effect.
Given,
Michael observed he felt the pain of losing a $20 bill more than he felt the joy of finding it on the sidewalk the week before.
We need to find whether it is a result of
- Sunk cost
- Overconfidence
- Endowment effect
What are the endowment effect and Sunk cost?
The endowment effect is the effect of placing a higher value on an object
they own than the value on the same object they did not own.
The sunk cost is a cost that has already been incurred and that cannot be
recovered.
We have,
Michael observed he felt the pain of losing a $20 bill more than he felt the joy of finding it on the sidewalk the week before.
Here,
We are talking about the same item $20.
Losing $20 is losing what Michael owns.
Finding $20 on the sidewalk is not what Michael owns.
And the pain of losing $20 which he owns is more than the joy of finding it on the sidewalk so,
The Endowment effect is found here.
Thus,
Michael observed he felt the pain of losing a $20 bill more than he felt the joy of finding it on the sidewalk the week before.
This is a result of the endowment effect.
Learn more about the endowment effect here:
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1. Refer to the equation 2x − 4y = 12.
(a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line.
Work for Point 1
Work for Point 2
Work for Point 3
Work for Point 4
Answers
Answer:
1a
2d
3I
4j
5b
6o
7q
Step-by-step explanation:
3x + 6 =
plss help me with this
Answers
Answer:
3× + 6
3+6=9
9×3=3
Finish
Answer:
3
(
+
2
)Step-by-step explanation:
5 divided by 29.95 show work please
Answers
Answer:
5.99
Step-by-step explanation:
Do the division by doing:
0 5. 9 9 0
---------------------------------
5 | 2 9. 9 5 0
− 0
2 9
− 2 5
4 9
− 4 5
4 5
− 4 5
0 0
− 0
0
5250 marked down 15%
Answers
Answer:
4462.5
need 20 characters
Answer:4462.5
Step-by-step explanation:multiply 5250 by 15% (or 0.15), then subtract that # to get the answer.
5250 x 15% = 787.5
5250-787.5= 4462.5
An engineer earns $108 000 annually. Deductions
of $3 975 are made each month.
Calculate:
(a) his gross monthly salary
(b) his net monthly salary
Answers
Answer:
9,000
5,025
Step-by-step explanation:
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between the two brands shown. Explain how Jacob can determine which is the better value.
Answers
Answer:
Jacob could compare the unit rates of cost per ounce. The unit rate that is less per ounce is the better deal. Not He can look at the cost per ounces!
Step-by-step explanation:
Answer:
Compare the unit rates.
The unit rate shows the cost for each ounce.
The lesser unit rate costs less per ounce.
The brand with the lesser unit rate is the better value.
Step-by-step explanation:
A local restaurant serves breakfast. They use 124 cups of pancake mix every hour. It takes 114 cups of mix to make one pancake. The pancakes are all equal in size.About how many pancakes can the restaurant make in two hours?
Answers
Answer:
198 pancakes.
Step-by-step explanation:
Answer:
198
Step-by-step explanation:
Heath measured the wheelbase on his bike. This is the distance from where
the front wheel touches the ground to where the back wheel touches the
ground. He found that the length was 4 feet 5 inches.
1 foot = 12 inches
4A 5 in.
What is the wheelbase of his bike in inches?
Answers
Answer:
ground. He found that the length was 4 feet 5 inches.
1 foot = 12 inches
4A 5 in.
What is the wheelbase of his bike in inches?
an animal sanctuary currently has 125 elk in it. the elk are expected to increase by 20% each yea. How many elk will there be in 3 years
Answers
I multiplied 125 with .2 and I got 25.
I added 25 three times to get 200.
Multiply.Enter your answer in scientific notation.
(7x 10^*13)(3.39 x 10^*5)=
Answers
Multiply 7 by 3.39.
23.73 ( 10^*13⋅10^*5)
23.73• 10^*13+5^*
Add 13 &5
23.73•10^*18
Scientific notation= 2.373 • 10^*19
I hope it helps you
Determine whether each data set represents a function. Part A and B
Answers
Answer:
Part A - Represents a function
Part B - Doesn't represent a function.
Step-by-step explanation:
A set is just a list of numbers to check. The question is asking you based on the set...
(-5, 8)
(-6, 2)
(-2, -6)
(-1, 8)
(4,6)
if it is a valid function.
At NO point should a function have multiple x values. This fails the Vertical Line Test if visualized on a graph.
For Part A, there are no duplicate x values, meaning this function is valid.
For Part B, there is a duplicate x value - (2,9) & (2,4). Because of this, immediately the function is invalid. There can not be any duplicate x values in a valid function, PERIOD. If graphed, it fails the vertical line test.
