answer.
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
lilavasa [31]
1 year ago
7

The population of a Midwestern city decays exponentially. If the population decreased from 900,000 to 800,000 from 2003 to 2005,

what will be the population in 2008?
Mathematics
1 answer:
olga55 [171]1 year ago
4 0
Hello.<span><span>   </span><span>
<span><span>
-------
Let 2003 be the zero year; then 2005 is the three year, and 2008 the 5 year.
---------------
P = ab^x
---
P(3) = ab^3 = 800000
P(0) = ab^0 = 900000

---
a = 900000
Solve for "b"::
b^3 = 8/9 
b = 2/cbrt(9) 
----
Equation::
P(x) = 900000^x
----
Ans: P(5) = 900000


Have a nice day</span></span></span></span>
You might be interested in
Carmela mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts
Evgesh-ka [11]

Amount of walnuts=\frac{3}{4} kg

Amount of almonds=\frac{1}{2} kg

Amount of pecans=\frac{1}{4} kg

Total amount=\frac{3}{4}+\frac{1}{2}+\frac{1}{4}

LCM is 4 so sum is = \frac{3+2+1}{4}=\frac{6}{4} =\frac{3}{2}

As given, Carmela divides the mixed nuts into 3/10 kilogram bags so number of bags will be:

\frac{\frac{3}{2}}{\frac{3}{10}}

= \frac{3}{2}\times\frac{10}{3} = 5

Hence, answer is 5 bags.


5 0
2 years ago
Dominique paid $15.50 to join an online music service. If
frozen [14]

Answer:

94.7

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Evaluate <br> 17.3<br> % of <br> 45.94<br> km<br> Give your answer rounded to 2 DP.
Katyanochek1 [597]

Answer: 17.3% of 45.94 km is 7.95 km

4 0
2 years ago
A cube has an edge of 2 feet. The edge is increasing at the rate of 5 feet per minute. Express the volume of the cube as a funct
Agata [3.3K]

Answer:

V(m) = (2 + 5m)^3

Step-by-step explanation:

Given

Solid Shape = Cube

Edge = 2 feet

Increment = 5 feet per minute

Required

Determine volume as a function of minute

From the question, we have that the edge of the cube increases in a minute by 5 feet

<em>This implies that,the edge will increase by 5m feet in m minutes;</em>

Hence,

New\ Edge = 2 + 5m

Volume of a cube is calculated as thus;

Volume = Edge^3

Substitute 2 + 5m for Edge

Volume = (2 + 5m)^3

Represent Volume as a function of m

V(m) = (2 + 5m)^3

4 0
2 years ago
Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi
Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}

Now, we know the following identities:

sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}

Now, the values are:

sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}

Sine value is positive and cos, tan values are negative.

It can be clearly observed that \theta is in 2nd quadrant.

2nd quadrant means, the value of x will be negative and y will be positive.

Let us have a look at the value of tan\theta:

tan\theta  = \dfrac{Perpendicular}{Base}\\OR\\tan\theta  = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

8 0
1 year ago
Other questions:
  • Solve the Quadratic Equation by factoring. 3r^2-16r-7=5
    5·1 answer
  • The equation |x − 8| = 3 represents the minimum and maximum percent of people in a survey who are undecided about an issue. What
    12·2 answers
  • What is the completely factored form of 2x2 – 32?
    5·2 answers
  • A popular chain of superstores made 3.0479×108 dollars in profit last year. One particular store in the chain made 2.102×106 dol
    10·1 answer
  • To be able to say with 95% confidence level that the standard deviation of a data set is within 10% of the population's standard
    10·1 answer
  • Use the vertical line test to determine if the graph below represents a function. If it is not a function, tell where the vertic
    15·2 answers
  • A bullet is shot straight upward with an initial speed of 925 ft/s. The height of the bullet after t seconds is modeled by the f
    10·1 answer
  • Factor completely 16x8 − 1.
    13·2 answers
  • Background information: This is an excerpt from an investigative report commissioned by the United Nations.
    9·2 answers
  • PLEASE HELP
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!