A population of 120 beetles increases at an annual rate of 30%. How many beetles will there be in 16 years? Write an expression to represent the equivalent monthly population increase rate.
Answer:
Expression: [tex]120(1.3)^{16}[/tex]
Beetles after 16 years: 7984 beetles
Step-by-step explanation:
Since the population increases 30% annually every year on the population size of that year, then we need to use a compound interest formula which would be the following
A = P (1 + r/n) (nt)
A = the future amount
P = the initial amount
r = the annual increase rate (decimal)
n = the number of times that interest/increase is compounded per unit t
t = the number of years
Using the values in the question the expression for this scenario would be the following
120(1 + (0.30 / 1))^(1*16)
[tex]120(1.3)^{16}[/tex]
7984.99
A computer randomly selects a number from the given set. {1.2 5 10 25 30 36} What is the probability that an even number is selected? Enter your answer as a fraction, in simplest form, in the box. Pleven) =
Answer:
4/7 (I may be wrong)
Step-by-step explanation:
There are 7 numbers, of which 4 are even. This could be %100 wrong/right.
The ratio of cyclists to pedestrians on a certain trail was 2 to 7. If there were 27 people on the trail, how many more pedestrians were there than cyclists?
Answer:
15 more pedestrians than cyclists
Step-by-step explanation:
2:7 ratio tells us two cyclists for every seven pedestrians so out of every 9 people 2 are cyclists and 7 are pedestrians.
27/9=3
So we have 3 groups of 9...
3×2=6
&
3×7=21
so
6 cyclists and 21 pedestrians
subtract cyclists from pedestrians to find difference...
21-6=15
A person paid by the hour works 22 hours a week and makes $459. How much would they make if they work 39 hours?
Answer:
813.681818182
(That's the exact number, but you can circle it to 813.7 )
Step-by-step explanation:
459%22=20.8636363636
20.8636363636 x 39= 813.681818182
Can someone help me with this. Will Mark brainliest. Need answer and explaination/work. Thank you.
Answer:
Yes, quadrilateral MATH is a rectangle.
Step-by-step explanation:
If you plot the coordinates onto a graph, you will get a rectangle. You can determine it is a rectangle because there are four right angles, and two adjacent sides that are equal in length.
M (-4,-1)
A (-3,2)
T (3,0)
H (2,-3)
Find the area of given shape.
Answer:
124
Step-by-step explanation:
Find area of rectangle
than arrow
then add
Answer:
144
Step-by-step explanation:
Can someone please help me and tell me the answers
I hope this helps you
1) x=180-130.2
x=49.8
2) x+71.5=90
x=90-71.5
x=18.5
3) x+54=90
x=90-54
x=36
4) x+35=180
x=180-35
x=145
Write the linear equation given slope and point.
(-4,-7); slope = 3
Answer:
Step-by-step explanation:
Use the "point-slope" formula for the equation of a straight line,
y - k = m(x - h)
Here the slope, m, is 3 and the line passes through (h, k): (-4, -7), so the proper equation in this case is
y - (-7) = 3(x + 4), or:
y + 7 = 3(x + 4).
If you wish you may rewrite this equation in slope-intercept form, as follows:
y = 3x - 7 + 12, or y = 3x + 5
A tourist attraction experienced a 3.75% fall in visitor numbers in June, compared to the previous month due to bad weather There were 121660 visitors in June How many visitors were there in May? B) In July there were 4.5% more visitors than in May What was the percentage increase in visitor numbers from June to July?
Answer:
(A) 126400
(B) 8.57%
Step-by-step explanation:
(A) According to the scenario, calculation of the given data are as follows,
Visitors in June = 121660
Let visitors in May = X
Difference in visitors number in June = 3.75% decrease
So, we can calculate the visitors number in may by using following formula,
Number of visitors in June = X - 3.75%X
121660 = 96.25%X
X = (121660 × 100) ÷ 96.25
X = 126400
Hence, Number of visitors in may = 126400
(B). Difference in visitors in July than in May = 4.5% increase
So, Number of visitors in July = 126400 + (126400 × 4.5%)
= 126400 + 5688
= 132088
Now, we will calculate increase in percentage by using following formula,
Increase percentage = (132088 - 121660) ÷ 121660
= 10428 ÷ 121660
= 0.0857 or 8.57%
please help me . if you dont know the answer please do not answer it
Answer:
Option D
Step-by-step explanation:
Type of a polynomial is decided by the maximum degree of the variable.
In the given polynomial [tex]-\frac{2}{3}b^3[/tex], maximum power of the polynomial is 3.
Therefore, given polynomial is a cubic polynomial.
Option D is the correct option.
Solve for the variable in the following equation: 1 / 6c + 1 / 3 = - 2
A. c = −30
B. c = 26
C. c = −14
D. c = 12
Answer: C. C=-14
Step-by-step explanation:
Given
(1/6)c+1/3=-2
Multiply both sides by the LCM of 1/6 and 1/3(Least Common Multiple)
6[(1/6)c+1/3]=(-2)(6)
c+2=-12
Subtract 2 on both sides
c+2-2=-12-2
c=-14
Hope this helps!! :)
Please let me know if you have any questions
Answer:
C. c = −14
Step-by-step explanation:
Combine multiplied terms into a single fraction
[tex]\frac{1}{6} c+\frac{1}{3} = - 2[/tex]
[tex]\frac{1c}{6} +\frac{1}{3} =-2[/tex]
Multiply by 1
[tex]\frac{1c}{6} +\frac{1}{3} =-2[/tex]
[tex]\frac{c}{6} +\frac{1}{3} =-2[/tex]
Subtract [tex]\frac{1}{3}[/tex] from both sides of the equation
[tex]\frac{c}{6} +\frac{1}{3} =-2[/tex]
[tex]\frac{c}{6} +\frac{1}{3} -\frac{1}{3} =-2-\frac{1}{3}[/tex]
Subtract the numbers
[tex]\frac{c}{6} +\frac{1}{3} -\frac{1}{3} =-2-\frac{1}{3}[/tex]
[tex]\frac{c}{6} =-2-\frac{1}{3}[/tex]
Subtract the numbers
[tex]\frac{c}{6} =-2-\frac{1}{3}[/tex]
[tex]\frac{c}{6} =-\frac{7}{3}[/tex]
Multiply all terms by the same value to eliminate fraction denominators
[tex]\frac{c}{6} =-\frac{7}{3}[/tex]
[tex]c \frac{c}{6} =6(-\frac{7}{3} )[/tex]
Cancel multiplied terms that are in the denominator
[tex]c \frac{c}{6} =6(-\frac{7}{3} )[/tex]
c = 6 [tex](-\frac{7}{3} )[/tex]
Multiply the numbers
c = 6 [tex](-\frac{7}{3} )[/tex]
c = - 14
find the midpoint of the given points
(-8,4),(3,-4)
Answer:(-2.5,0)
Step-by-step explanation:
MP=(-8+3/2,4+(-4))=(-2.5,0)
A water jug weighs 5 kilograms. What is the volume of the water in the jug?
Answer:
IF the jug is full and IF the 5 kg does not include the jug, then:
5 kg of water = 1.32 gallons
If you want it in metric form: 5 kg = 5 liters
Step-by-step explanation:
one gallon = 3.785 kg
5 kg/3.785 kg per gal = 1.32 gallons
in metric form:
1 kg of water = 1 liter, so:
5 kg = 5 liters
Answer: I'm just answering so that other guy can get brainist
Step-by-step explanation: But here is a meme
translation math
pls dont give me any link
Answer: C
Step-by-step explanation:
GIVING BRAINLIEST!!!!!PLS HELP!!!!!! :((
(28+7+6+3) x 1/2
SHOW UR WORK PLS
Answer:
22
Step-by-step explanation:
28+7+6+3=44
44/2 or 44*1/2 = 22
any help is appreciated because I have a probe in a couple of hours
I'm wondering if someone could explain to me being thorough with the steps how 1+1/x² could equal
x²+1/x²
where did the second x² come from???
A shirt costs $20. A pair of pants costs 30% more than the shirts. How much do the pants cost?
Answer:the pants are 26 dollars
Step-by-step explanation:
20.00+30%= 26.00
30%=6.00
2x + 11 = 5
If a and b are the solutions to the equation above, what is the value of |a – b| ?
Answer:
x = 3
Step-by-step explanation:
2x + 11 = 5
- 11 -11
2x/2 6
x = 3
Challenge How many flowers, spaced every 6 in., are needed to surround a circular garden with a
200-ft radius? Use 3.14 for it.
Williams, Aaily
flowers are needed to surround the circular garden.
Answer:
1,256 flower
Step-by-step explanation:
First, we need to calculate the circumference of the circle. The formula for the circumference of the circle is:
C
=
2
π
r
If we substitute
100
ft
for
r
and use
3.14
to approximate
π
we get a circumference of:
C
=
2
⋅
3.14
⋅
100
ft
C
=
6.28
⋅
100
ft
C
=
628
ft
We can now convert the circumference in feet to inches;
628
ft
×
12
in
1
ft
⇒
628
ft
×
12
in
1
ft
⇒
628
×
12
in
⇒
7536
in
To find how many flowers we need we can divide the circumference in inches by the 6 inches between flowers giving:
7536
in
×
1
flower
6
in
⇒
7536
in
×
1
flower
6
in
⇒
7536
×
1
flower
6
⇒
7536
flower
6
⇒
1256
flower
You would require 1,256 flowers
Lacey set a goal to walk a mile each day. How many steps does she need to take each day to walk one mile?
Answer:
Step-by-step explanation:
1 mile = 2000 steps
An average person has a stride length of approximately 2.1 to 2.5 feet. That means that it takes over 2,000 steps to walk one mile
Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.15%. They
have 500 grams of substance B which decays at a rate of 0.37%. They are trying to determine how many years it will be before the substances
have an equal mass.
If Mrepresents the mass of the substance and trepresents the elapsed time in years, then which of the following systems of equations can be
used to determine how long it will be before the substances have an equal mass?
Answer:
231.59 years
Step-by-step explanation:
To model this situation we are going to use the exponential decay function:
f(t)= a (1-b)^t
where f(t) is the final amount remaining after t years of decay
a is the final amount
b is the decay rate in decimal form
t is the time in years
For Substance A:
Since we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:
r = 0.15/100 = 0.0015. Replacing the values in our function:
f(t) = a (1-b)^t
f(t) = 300 (1-0.0015)^t
f(t) = 300 (0.9985)^t equation (1)
For Substance B:
Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:
r=0.37/100= 0.0037. Replacing the values in our function:
f(t) = a (1-b)^t
f(t)= 500 (1-0.0037)^t
f(t)=500(0.9963)^t equation (2)
Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:
M=300(0.9985)^t equation (1)
M=500(0.9963)^t equation (2)
We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :
{M=300(0.9985)^t
{M=500(0.9963)^t
Hey math can you help
Find the perimeter of the object
Help
Answer:
20
Step-by-step explanation:
15 is 9 than j what is j in this question
Answer:
6
Step-by-step explanation:
15 is 9 more hence you subtract 9 from15
Hope this helps
Please help me with this question!!
Answer:
Step-by-step explanation:
Mabye 7?
can someone please help me with this?
Answer:
25 so C
Step-by-step explanation:
Appeasement is the policy of making concessions in order to avoid a conflict. In the 1930’s it became the dominant French and British international policy toward Germany and other aggressive nations. The League of Nations had been created to peacefully resolve international disputes. However, without the United States as a member of any military force, it was ineffective at preventing belligerent nations from violating agreements.
When Italy invaded Ethiopia and Japan invaded Manchuria and China, the League could do nothing but impose economic sanctions. Adolf Hitler realized that democracies sought to avoid a confrontation and continued to test their limits. First, he remilitarized the Rhineland then turned his sights on a region of German speakers in Czechoslovakia known as the Sudetenland.
In September 1938, British Prime Minister Neville Chamberlain met with Hitler in Munich to discuss his demands. The Sudetenland held most of Czechoslovakia’s border defenses, heavy industries, and banks. Without consulting Czech authorities, however, Chamberlain pledged to give Germany all the areas with a German population of more than 50%. France was persuaded to agree. Hitler then demanded all the Sudetenland and Britain and France agreed to his demands. Chamberlain returned to Great Britain claiming he had secured “peace for our time.”
Appeasement was not without its critics, however. Winston Churchill believed in a firm stand against Nazi Germany. When Germany seized the remainder of Czechoslovakia in March 1939, it was clear that appeasement had failed. Chamberlain resigned and Churchill became the new Prime Minister of Great Britain.
---------------------------------------
“When I think of those four terrible years and I think of the 7million young men who were killed, the 13 million who were maimed and mutilated… I have said before, and what I say now to all the world – in war, whichever side may call itself the victor, there are no winners, but all are losers. It is those thoughts which have made me feel that it was my prime duty to strain every nerve to avoid a repetition of the Great War in Europe.”
― Neville Chamberlain
---------------------------------------
“An appeaser is one who feeds a crocodile, hoping it will eat him last.”
― Winston S. Churchill
Directions: After reading about appeasement, answer the following questions.
1. What is the best definition for “belligerent” as it is used in the 1st paragraph? Highlight your answer
a. Weak
b. Hostile
c. Peaceful
d. Isolationist
2. What made the League of Nations ineffective?
3. What was Neville Chamberlain’s justification for his policy of appeasement?
4. Based on the Munich Agreement and resulting events, what adjective most likely describes Hitler’s view of Chamberlain? Highlight your answer
a. Intimidating
b. Wise
c. Gullible
d. Bold
5. Do you think Churchill’s quote accurately describes the relationship between Hitler and Chamberlain? Explain why or why not.
6. Think of a time you made a concession in order to avoid a conflict. Explain what the conflict was and why you gave in. How would the outcome be different if you had not given in?
Kelly has $100 she received for her birthday She saves $10 each week from doing chores Which function can be used to find t the amount of money Kelly will have saved
Answer:
$620 every year
Step-by-step explanation:
Since the question didn't specify how long she would have to save for, let's just assume that it's one year. There are 52 weeks in a year which is $520, and on her birthday she would have an extra $100, so every year she saves $620 in total.
rob wants to buy a piglet that normally cost $200 it is on sale for currently $58 . what is the percentage discount
Answer:
71%
Step-by-step explanation:
Firstly, 200 - 58 = 142
Next, 142 / 200 = 0.71
0.71 x 100 = 71%
find the missing angles
m∠E=
m∠F=
Answer:
41⁰
Step-by-step explanation:
180 - 98 = 82⁰
2x = 82⁰
x = 82/2
= 41⁰