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
Nataly_w [17]
3 years ago
12

Someone please help, can’t seem to get the problems

Mathematics
1 answer:
VikaD [51]3 years ago
5 0

Answer:

A) 525,500

B) decreasing by 0.995% per year

C) 430,243

D) After 20 years, the population can be expected to be about 20% smaller.

E) 2009

Step-by-step explanation:

A) t=0 represents the year 2000, so put 0 where t is in the expression and evaluate it. Of course, e^0 = 1, so the y-value is 525.5 thousand, or 525,500.

__

B) Each year, the population is multiplied by e^-0.01 ≈ 0.99004983, or about 1 - 0.995%. That is, the population is decreasing by 0.995% per year.

__

C) t represents the number of years since 2000, so the year 2020 is represented by t=20. Put that value in the equation and do the arithmetic.

y = 525.5·e^(-0.01·20) = 525.5·e^-0.2 ≈ 430.243 . . . . thousands

The population in 2020 is predicted to be 430,243.

__

D) The decrease is about 1% per year, so a rough estimate of the decrease over 20 years is 20%. The population of about 500,000 will decrease by about 100,000 in that time period, so will be about 400,000. The value we calculated is in that ballpark. (The actual decrease is about 18.13%; or about 95.2 thousand.)

__

E) Your working shows the general idea, but you need to remember the numbers in the equation are thousands:

480 = 525.5·e^(-0.01t)

0.913416 = e^(-0.01t) . . . . divide by 525.5

ln(0.913416) = -0.01·t . . . . take the natural log

-100ln(0.913416) = t ≈ 9.06

The population will be 480 thousand after 9 .06 years, in the year 2009.

You might be interested in
Please help me please will give brainliest to anyone who is right ​
Mnenie [13.5K]

Answer:

C

Step-by-step explanation:

you have a total of 18 data values which means you have to find the average of the 9th and 10th values; these values would be in the 3000 - 5999 because this interval contains data values 5 through 10

3 0
2 years ago
a bag contains four blue, three green, and five red balls. if four balls are drawn at random, what is the probability that two a
inn [45]
The Fully simplified answer is 1/36
5 0
2 years ago
What is standard form for 6.43999001 x 10^8
Romashka [77]
6.43999001  
1st  you move the decimal 8 times to your right 
once you are done moving the decimal you should end up with a whole number 
you answer is (643, 999, 001)
5 0
2 years ago
contradictions!!!! i dont get them help me with 5 of them pleaseee i will mark you brainlest answer and everything
vodomira [7]
Contradictions usually mean they go against established rules. Squaring a negative number is one example if it is in math. But just think of anything that goes against what is known.  
3 0
2 years ago
What is up guys!
melisa1 [442]

Answer:

  • Yes, No, Yes

Step-by-step explanation:

<u>Use the Pythagorean theorem:</u>

  • a² + b² = c²

<u>Verify this for each line:</u>

1.

  • 28² + 45² = 53²
  • 2809 = 2809
  • Yes

2.

  • 33² + 56² = 64²
  • 4225 ≠ 4096
  • No

3.

  • 36² + 77² = 85²
  • 7225 = 7225
  • Yes
5 0
2 years ago
Other questions:
  • The maintenance bill for the entire shopping center of 180,000 square feet is $45,000 for the quarter. What proportional share d
    10·1 answer
  • The equation y = 11x describes the amount of money Louis earns, where x is the number of hours he works and y is the amount of m
    5·1 answer
  • A car travels 32 miles for each gallon of gas. How many gallons of gas does it need to travel 192 miles.
    10·1 answer
  • Identify the axis of symmetry for the following equation:
    15·2 answers
  • Whats a significant figure
    13·1 answer
  • Help me please as soon as possible
    15·1 answer
  • What is the volume of a rectangular prism with the base of 15 inches, width of 3 inches, and height of 8 inches
    13·1 answer
  • Please answer the question as best as you can :)
    9·1 answer
  • Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    9·2 answers
  • You’ve gone to visit your friend in Germany. As you’re getting dressed for a day out, your friend tells you it’s 16 degrees (Cel
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!