A colony of 100,000 ants has been declining in number at a rate of 11.4% per month. If allowed to decline uninhibited, how long will it take the population to decrease to 25,000 ants? Round to the nearest tenth.

a. 17.6 months
b. 12.2 months
c. 5.3 months
d. 24.3 months

Answers

Answer 1

Answer:

b. 12.2 months

Answer 2

A percentage is a way to describe a part of a whole. The correct option is B.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the colony of 100,000 ants has been declining in number at a rate of 11.4% per month. Therefore, the number of months it will take for the ant population to reach 25,000 ants is,

Population = 100,000(1-0.114)ⁿ

25,000 = 100,000(1-0.114)ⁿ

0.25 = 0.886ⁿ

log(0.25) / log(0.886) = n

n = 11.45335

Since the value is close to 12.2 months.

Hence, the correct option is B.

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Related Questions

Determine how, if possible, the triangles are similar

Answers

Answer:

They aren’t

Step-by-step explanation:

Answer:

They're the same shape and size, just angled differently.

What would need to happen to create a ratio of 3:1?

Answers

Answer:

subtract 2

Step-by-step explanation:

Answer:

Divide an odd number by 3

Step-by-step explanation:

Given the following list of data, find the median. 3,18,11,36,23,5,8,15,32,22,16 Give your answer as a number only. For example, if you found the median was 20, you would enter 20.

Answers

Answer:

The median is 16.

Step-by-step explanation:

To find the median of a set, first we sort the set in an incresing way. So

3,5,8,11,15,16,18,22,23,32,36

The set has 11 elements, so the median will be element at the position (11+1)/2 = 6, that is, the 6th element of the sorted set.

In this case, the median is 16.

There are 7 and 2 over 3 pounds of walnuts in a container, which will be divided equally into containers that hold 1 and 1 over 3 pounds.

Answers

Answer: 5 3/4

Step-by-step explanation:

What kind of transformation is it when it gets bigger? Like a small star to a bigger star.

Answers

It’s called a dilation

2. Amy had 0.87 liters of grape juice. Flora had 0.92 liters more. How much
more grape juice did Flora have?

Answers

Answer:

1.79 of cold drink

Step-by-step explanation:

Please help. Find the volume of the composite shape

Answers

Answer:

volume of entire shape = 80 + 32 = 112 cubic inches

Step-by-step explanation:

area of rectangle = 80 in³

area of square pyramid = 1/3 · b² · h       (b = base)

A = 1/3 · 4² · 6  =  16 · 2  = 32 in³

A spinner has 4 equal sections of red, blue, green, and yellow. About how many times should you land on blue if you spin the spinner 96 times?
A. 22
B. 24
C. .40
D. -3/7

Answers

Answer:

(B)  24

Step-by-step explanation:

Malik completes 0.7 of the total number of push-ups his coach requires. Which does NOT represent the part of the push-ups Malik completes? Please help I really need your help!!!

7%

14/20

70%

0.70

Answers

Answer:

7% does not represent the part 0.7 of the push-ups Malik completes because 7% is NOT equivalent to 0.7.

Step-by-step explanation:

Given that Malik completes 0.7 of the total number of push-ups his coach requires.

Checking the given options:

7% = 7/100 = 0.07

14/20 = 0.7

70% = 70/100 = 7/10 = 0.7

0.70 = 0.7

Therefore,

7% does not represent the part 0.7 of the push-ups Malik completes because 7% is NOT equivalent to 0.7.

If the triangles are similar, solve for x.
PLEASE SHOW WORK

Answers

Answer:

They are not similiar again!

Step-by-step explanation:

Not similiar

3/4 (FRACTION) x 12

Please simplify.


Thanks

Answers

Answer:

9

Step-by-step explanation:

Wyatt is enlarging a rectangular drawing using a scale factor of 2.5.
7.4 in
5 in

Answers

It is 2.4 x 2.5 which equals 6 the answer is 6

What is [tex]12\sqrt1248[/tex]

Answers

Step-by-step explanation:

[tex] \sqrt[12]{1248} = 1.811414676[/tex]

The 150 students in the band will attend an awards assembly. A random survey of 30 was done to see what type of pizza they would order. 10 Pepperoni 15 Cheese • 5 Hamburger Based on the survey results, which of these is the best prediction of the types of pizza wanted by the 150 students? A. There are 40 students who want pepperoni B. There are 100 students who want either pepperoni or hamburger C. There are 10 more students who will want cheese than hamburger D. There are 5 more students would want pepperoni than hamburger (PLEASE ANSWER ILL GIVE BRAINLIEST)​

Answers

Answer:

None are correct.

Step-by-step explanation:

10/30 wanted pepperoni, so 1/3 of them wanted pepperoni.

15/30 wanted cheese, so 1/2 wanted cheese.

5/30 wanted hamburgers, so 1/6 wanted hamburgers.

You can use this information to estimate the number of the 150 students who wanted each.

1/3 of 150 = an estimated 50 wants pepperoni

1/2 of 150 = an estimated 75 wants cheese

1/6 of 150 = an estimated 25 wants hamburgers

Now you can use this to see which one is true.

A. There are 40 students who want pepperoni

not true, there are 50

B. There are 100 students who want either pepperoni or hamburger

50(pepperoni) + 25(hamburger) = 75, so this is not true

C. There are 10 more students who will want cheese than hamburger

75(cheese) - 25 (hamburger) = 50, so this is not true.

D. There are 5 more students would want pepperoni than hamburger

50 (pepperoni) - 25 (hamburger) = 25, so this is not true

None of these answers are correct

At Ole's Waffle Shop there are 81 dirty coffee mugs and 9 clean coffee mugs. How many total mugs are there?

answers

81
9
90

Answers

90. 9. 81 hope this helps

An assistant receives a 5% raise, bringing the salary to $46,377. What was the salary before the raise?

Answers

Answer:

the assistants salary before was $44,6653

You answer is going to be 44,6653

Simplify the expression using distributive property
-3(2x+6)

Answers

Step-by-step explanation:

So lets multiply the parantheses by -3 we get

-3×2x-3×6

Which we can write as

-6x-18

Answer:

[tex]\huge\boxed{\boxed{{\boxed{{-6x-18}}}}}[/tex]

Step-by-step explanation:

Hello.

In order to simplify the expression, we should multiply -3 times 2x and 6:

-3 times 2x = -6x

-3 times 6=-18

-6x-18

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

kareem is paid 72 for working 8 hours how much would he have been paid to work only 5 hours

Answers

Answer:

If Kareem were to work for 5 hours, she would get paid $45.

Step-by-step explanation:

If she gets paid $72 for working 8 hours, you would need to find how much she gets paid per hour by doing [tex]72/8[/tex].

Which then gives you $9 per hour, so then all you need to do is multiply $9 by the number of hours which in this case is 5 to get the answer of $45.

so I really need help. you have to set fractions equal to each other and try and find out how many dont have sweaters. out answer isn't supposed to be a fraction, it's supposed to be a whole number, I hope that makes sense. lol, thank you :)​

Answers

Answer:

114 prefer sweaters and 138 prefer jackets

Step-by-step explanation:

(19/23+19)×252=114 prefer sweaters

(23/19+23)×252=138 refer jackets

On a map 1 inch = 50 miles. If two cities are 3 1/2 inches apart, how many miles are they apart?
The answer is 175 miles but i dont know how to explain that i got that answer so please helppp

Answers

Answer:

3 inches is 150 and 1/2 is 25

Step-by-step explanation:

Please help asap 25 pts, please show work

Answers

Answer:

Option A

Step-by-step explanation:

[tex] \sec( \alpha ) = \frac{hypotenuse \: of \: tringle}{side \: adjacent \: to \: \alpha } [/tex]

where [tex] \ alpha [/tex] is an angle of triangle.

In the triangle given above , [tex] \ alpha = angle A [/tex]. So,

[tex] \sec(A) = \frac{10}{8} = 1.25[/tex]

Answer:

a, shoudl eb ur answer

Step-by-step explanation:

I used a picture....

Answers

Answer is D alternative form is 3787.99512

is -√16 a rational number or irrational?

Answers

Answer:

irrational

Step-by-step explanation:

help its due in 8 minutes

Answers

Answer:

the perimeter of cube is

28×4=112 ft

Answer:112

Step-by-step explanation: 28•4=112ft

A school principal is buying chairs and desks from a furniture supplier.
• The chairs cost $110 each.
• The desks cost $70 each.
• The principal wants to buy at least 100 pieces of furniture.
• The principal wants to spend no more than $9,400.
Which system of inequalities can be used to determine the possible numbers of

Answers

Answer: The answer would be C

Explanation: I am taking the test right now and that answer is the only one that would make sense. I apologize if I am wrong.

1. The height of a soccer ball that is kicked from the ground can be approximated by the function:
y= -18x^2 + 90x
where y is the height of the soccer ball is x seconds after it is kicked.
Find the time, in seconds, it takes from the moment the soccer ball is kicked until it returns to the ground.

2. The height of a soccer ball that is kicked from the ground can be approximated by the function:
y = -16x^2 + 64x
where y is the height of the soccer ball in feet x seconds after it is kicked. What is the soccer ball's maximum height in feet?

Answers

Answer:

2. [tex]\displaystyle 64\:feet[/tex]

1. [tex]\displaystyle 5\:seconds[/tex]

Step-by-step explanation:

2. Sinse we do not have a y-intercept [C-value in this case], we have to use a part of the quadratic formula to solve for x, and rewrite this equation in Vertex Form, with [tex]\displaystyle [h, k][/tex] as the vertex point. Observe:

[tex]\displaystyle -\frac{b}{2a} = x \\ \\ -\frac{64}{2[-16]} = \frac{-64}{-32} = 2[/tex]

Now, keep in mind that [tex]\displaystyle -h[/tex] in the vertex formula, [tex]\displaystyle y = a[x - h]^2 + k,[/tex] gives you the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so in this case, sinse 2 is already positive, you do not need to alter its operation sign. With this being stated, you should already have this:

[tex]\displaystyle y = -16[x - 2]^2[/tex]

Now, to find k, all you have to do is plug 2 into the TOP equation to get your maximum height:

[tex]\displaystyle -16[2]^2 + 64[2] = -16[4] + 128 = -64 + 128 = 64 \\ \\ \\ y = -16[x - 2]^2 + 64[/tex]

Therefore, sinse 64 is your k-value, 64 feet is indeed your maximum height.

1. Simply factour the quadratic equation:

[tex]\displaystyle y = -18x^2 + 90x \\ 0 = -18x[x - 5] \\ \\ 5, 0 = x[/tex]

In this case, from a height of sixty-four feet, it is IMPOSSIBLE for the football to hit the ground in zero seconds, therefore the ball will reach the ground in 5 seconds, which makes alot more sence.

I am joyous to assist you at any time.

** Minimum Height → [tex]\displaystyle A[/tex]

** Maximum Height → [tex]\displaystyle -A[/tex]

270 rounded to the nearest 100

Answers

Answer:  270 rounded to the nearest hundred is: 300.

Step-by-step explanation:

round the number up to the nearest hundred if the last two digits in the number are 50 or above.

Answer:

i think its 300

Step-by-step explanation:

hope it helps :)

The graph shows y as a function of x:
In which segment is the function constant?
О А
O B
О C
O D​

Answers

Answer:

A

Step-by-step explanation:

A constant line looks like a flat line with a slope of 0.

The segment that shows a constant function is segment A.

Option A is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the 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,

A function is constant if the graph is a straight line.

So,

From the given graph, we see that line A is a straight line.

This means,

Segment A shows a constant function.

Thus,

The segment that shows a constant function is segment A.

Learn more about functions here:

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19.
(01.04 MC)

What is four hundred sixty-three and forty-nine hundredths written in standard form? 463.49
643.49
4,063.49
4,634.90

Answers

463.49 is the answer

Answer:

463.49

Step-by-step explanation:

400: four hundred

60: sixty

3: three

.49: forty nine hundredths

400 + 60 + 3 + .49 = 463.49

Clarissa has a bag of marbles. 9 are blue, 5 dre yellow, 2 dre purple, and 4 are green. What is the probability Clarissa reaches in the bag and pulls out a yellow marble, and then without replacing it, pulls out a marble that is not blue?​

Answers

Answer:

Step-by-step explanation:

So, first lets the probability of just finding a yellow marble. There are 9+5+2+4 marbles in total, and that is 19 marbles.

5 out of those 20 are yellow, so the probabilty is 5/20 which is 1/4 or 20%

Then, lets do just finding the probability of a color that isn't blue.

Out of 20 marbles, 11 are color not blue, and 9 are.

So that probability is 11/20

Now, I think we need to do 11/20-5/20 so 6/20=3/10

Im so sorry, I might be wrong. I found both probabilities but I dont know if my final step is right.

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