1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bixtya [17]
3 years ago
5

Can you help with these two questions?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
6 0

1) 155.91 grams would be left after 10 years

2) The population would be 376,478 in 2040

Step-by-step explanation:

The form of the exponential function is y=a(b)^{x} , where

  • a is the initial amount (y at x = 0)
  • b is the growth/decay factor
  • b = 1 + r, where r is the rate of growth
  • b = 1 - r, where r is the rate of decay

1)

Scientists are studying a 500 grams sample of a radioactive element, which has an annual decay rate of 11%

∵ The initial amount is 500 grams

∴ a = 500

∵ The annual decay rate is 11%

∴ r = 11% = 11 ÷ 100 = 0.11

∵ b = 1 - r ⇒ decay

∴ b = 1 - 0.11 = 0.89

- We need to find how many grams of the sample would be left

  after 10 years

∴ x = 10

- Substitute all of these values in the form of the exponential function

∵ y=500(0.89)^{10}

∴ y = 155.9085996

- Round it to 2 decimal places

∴ y = 155.91

155.91 grams would be left after 10 years

2)

In 2000, the population of an Ohio town was 140,212. The population is expected to grow at a rate of 2.5% each year

∵ The population of an Ohio town was 140,212

∴ a = 140.212

∵ The population is expected to grow at a rate of 2.5% each year

∴ r = 2.5% = 2.5 ÷ 100 = 0.025

∵ b = 1 + r ⇒ growth

∴ b = 1 + 0.025 = 1.025

- We need to find the population in 2040

∵ The number of years is 2040 - 2000 = 40 years

∴ x = 40

- Substitute all of these values in the form of the exponential function

∵ y=140212(1.025)^{40}

∴ y = 376478.1709

- Round it to the nearest whole number

∴ y = 376,478

The population would be 376,478 in 2040

Learn more:

You can learn more about the functions in brainly.com/question/11921476

#LearnwithBrainly

You might be interested in
A zebra ran at a speed of 20 feet per second. Which operation should you use to find the distance the zebra ran in 10 seconds?
Elena-2011 [213]

you would multiply speed by time

 20 feet per second times 10 seconds = 200 feet total

8 0
3 years ago
Read 2 more answers
Let a, b, and c be constants, and let x be a variable. Which of the following is
Nonamiya [84]

Answer:

C

Step-by-step explanation:

We have:

a(x+b)

Where a<0.

We would like to solve for a. So, let’s divide both sides by a.

Notice that a<0. Therefore, a is negative. Hence, we must flip the sign since we are dividing by a negative. This yields:

x+b>\frac{c}{a}

Now, we will subtract b from both sides. Therefore, our inequality is:

x>\frac{c}{a}-b

Hence, our answer is C.

5 0
2 years ago
What is 94 million,23 in standard form
Luda [366]

Nine million, four hundred thousand, twenty three9

7 0
3 years ago
Read 2 more answers
A company has budgeted 5 1/4 hours to complete a project, with 1/3 of the time spent on research. How much time does the company
elena-s [515]

Given that a company budgeted 5 1/4 hours to complete a project, determine how much time they spent on research if they spent 1/3 of the total budget.

First, convert the budget from hours into minutes.

5 1/4 hours = 315 minutes

1 hour = 60 min

1/4 hour = 15 min

60 x 5 = 300

300 + 15 = 315

Then, divide the minutes by 3 or multiply it by 1/3.

315 / 3 = 105

315 x 1/3 = 105

Lastly convert to a mixed number.

1 3/4 hour

Thus, the company plans to spend 1 3/4 hours or 1 hour and 45 minutes on research.

7 0
3 years ago
List 3 reasons you listen to music and tell how each influences your mood.
ANTONII [103]

Answer: It provides a total brain workout.” Research has shown that listening to music can reduce anxiety, blood pressure, and pain as well as improve sleep quality, mood, mental alertness, and memory.

6 0
3 years ago
Other questions:
  • Find the product<br> M<br> 법 M
    12·1 answer
  • There are 5 boxes of books in the storeroom each box has 78 books. how many books are there in all
    15·2 answers
  • Please help me out with this thingyyy!!!!!
    13·1 answer
  • ABCD is a rectangle if AC= 5x+2 and BD= x+22 find the value of x
    12·1 answer
  • Point B is on line segment AC. Given AB = 4x – 6, AC = 2x + 10, and
    13·1 answer
  • (this part is only for the 20 character ignore this )<br> x − 6y = −12
    5·2 answers
  • A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27nft3. Which equation gives the volume o
    8·2 answers
  • Can someone please help!!
    8·1 answer
  • A rope is stretched from the top of a 6-foot tent to a point on the
    9·1 answer
  • HELPPP PLEASEEEE
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!