Mathematics Middle School

There are approximately 3,000 bass in a lake. The population grows at a rate of 2% per year. Round answers to the nearest tenth.

From Year 1 to Year 4, the average rate of change of the population was about 62.4 bass per year.

From Year 5 to Year 8, the average rate of change of the population was about 67.6 bass per year.

The rate of change increased by about _____ bass per a year.

Answers

Answer 1

Answer:

years 1–4: 62.4 bass per year

years 5–8: 67.6 bass per year

Step-by-step explanation:

If the population in year n is ...

 p(n) = 3000·1.02^n

then the average rate of change from year 1 to year 4 is ...

 (p(4) -p(1))/(4 -1) = 3000(1.02^4 -1.02^1)/3 = 1020·(1.02^3 -1) ≈ 62.4

The average rate of change for years 1–4 is 62.4 bass per year.

___

For years 5–8, the rate of change is similarly computed:

 (p(8) -p(5))/(8 -5) = 3000(1.02^8 -1.02^5)/3 = 1000·1.02^5·(1.02^3 -1) ≈ 67.6

The average rate of change for years 5–8 is 67.6 bass per year.

Related Questions

geometry I need help

Answers

Answer:

145

Step-by-step explanation:

Angle 4 and 5 are the same.

Which means that angle 3 and 6 are the same.

A straight line has an angle of 180 degrees in total.

This means that we have to subtract 35 from 180.

This gives us 145.

So, the missing angle is going to be 145 degrees.

*also, 1, 4, 5, and 8 are the same angle.

**2, 3, 6, 7 are also the same angle.

***I just remember learning about this last year, don't remember what there called tho.

Answer:145

Step-by-step explanation:

look at angle 4 and do 180-35 which is 145 and it has the same degree with angle 6

Find the volume of the prism.

Answers

Answer:

You do length times width times hight

Step-by-step explanation:

So mutliply 6 times 20 times 4 to get your answer

Answer:

480

Step-by-step explanation:

Because the formula is b*h*w

so, 6×4×20=480

A bike wheel has a radius of 12 inches. How far will someone travel in 500 rotations? About how far is this in feet? Round to the nearest foot.

Answers

Answer:

3142 feet

Step-by-step explanation:

first, find the circumference of the wheel.

approx 75.4

every one rotation you travel approximately 75.4 inches

75.4 x 500 =37,700

37,700/12 = feet traveled

3141.6... feet

rounded = 3142

HELP ASAP!!ANSWER USING GIVEN FRACTIONS!!FIRST CORRECT ANSWER WILL GET BRAINLIEST!!

Answers

Answer:

Step-by-step explanation:

1. 21/100

2. 9/100

3. 49/100

hope this helps

laura deposits $2000 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 6 years?

Answers

She will be paid $2,240.

The equation to use for this is: A=P(1+rt)

More specifically:
A = 2000(1 + (0.02 × 6)) = 2240
A = $2,240.00

PRODIGY QUESTION I NEED HELP IN ORDER TO WIN BATTLE! 20 POINTS!!!!

Answers

Answer:

Step-by-step explanation:

3 2/4

7th and 8th graders at Marshall Middle are going on a field trip. The 7th graders use 10 small buses and 12 large buses for 504 students. The 8th graders use 5 small buses and 7 large buses for 279 students.
1. How many students can fit on a small bus?
2. How many students can fit on a large bus?
Pls pls help!

Answers

omg i did this i just fogot

god I forgot the answer to this I’m really sorry! I’ll come back when I ready

Can someone please help me?

Answers

Answer:

The answwrr is 6/20

Step-by-step explanation:

6/20 so that’s the answer

150 students voted in your grade, but that is only 75% of the total students in your grade. What is the total amount of students in your grade?

Answers

200 hundred students total.
The correct is 200 students total

Answer this question please and thank you

Answers

Step-by-step explanation: 13.93 + 7.37 = 21.3        14 + 7 = 21

1.
a. 21.3
b. 21

2.
a. 30.693
b. 39 - 9 = 30
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