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
Leona [35]
3 years ago
11

The projected population of a certain ethnic​ group(in millions) can be approximated by ​p(t)equals=39.07 left parenthesis 1.021

right parenthesis Superscript t39.07(1.021)t where tequals=0 corresponds to 2000 and 0 less than or equals t less than or equals 500≤t≤50. a. Estimate the population of this group for the year 2010. b. What is the instantaneous rate of change of the population when tequals=​10?

Mathematics
1 answer:
user100 [1]3 years ago
5 0

Answer:

  • a)  p(10) ≈ 48.10
  • b)  about 1.00 million/year

Step-by-step explanation:

a) Use t=10 in the given formula and do the arithmetic.

  39.07×1.021^10 ≈ 48.0951 ≈ 48.10 . . . millions

__

b) The derivative of p(t) is ...

  p'(t) = p(t)·ln(1.021) ≈ 0.8120·1.021^t

  p'(10) ≈ 0.99954 ≈ 1.00 . . . . millions per year

You might be interested in
Deluxe coffee is to be mixed with regular coffee to make at least 46 pounds of a blended coffee. The mixture must contain at lea
bogdanovich [222]

Answer:

11 pounds of deluxe, 35 pounds of regular

Step-by-step explanation:

If d is pounds of deluxe coffee, r is pounds of regular coffee, and C is the total cost, then:

d ≥ 11

d + r ≥ 46

C = 7d + 5r

Since deluxe costs more than regular, we want to use as little as possible to minimize the cost.

d = 11

r = 35

C = 252

8 0
3 years ago
The picture above ^^
77julia77 [94]

Answer:

Step-by-step explanation:

square root of 25x^2 is 5x.  square root of 36 is 6

2(5x)(6)

60x

8 0
2 years ago
A is 2 times older than B. Identify the appropriate expression.
-Dominant- [34]

Answer:

C. 2x

Step-by-step explanation:

Let

B's age = x years

A's age = 2 times older than B

= 2 * x

= 2x years

A's age = 2x years

For instance, if B's age is 17 years

Then,

A's age = 2x

= 2(17)

= 34 years old

6 0
3 years ago
For what value of x is the value of f(x)=4x-2 equal to 18
mina [271]
F(x) = 4(5) - 2 → f(x) = 20 - 2 → f(x) = 18
5 0
3 years ago
Read 2 more answers
Suzanne lays the books end to end and finds that the board is the same length as 21 bucks. How many centimeters long is the boar
AVprozaik [17]
357 centimeters would be your answer, this is because: 

21*17=357cm

I hope this helps. 
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is 1256 ÷4.68?​
    15·2 answers
  • If the village (which includes people and livestock) requires a total of 430 liters of water each day, approximately how long (i
    9·1 answer
  • . A binary string containing M 0’s and N 1’s (in arbitrary order, where all orderings are equally likely) is sent over a network
    8·1 answer
  • PLEASE ITS SUPER SUPER URGENT <br><br> 3/5 divided by 1/3
    5·2 answers
  • Foina wrote an linear equation y=2/5-5
    10·1 answer
  • a store is offering a 20% discount on all sales over $50 if you purchase a shirt and a pair of jeans for $62.50, what is the amo
    6·2 answers
  • Reflections over the x axis change the ____-________
    8·1 answer
  • il a positive number decreased by 5, then it is 84 times of its reciprocal. Find the number? op 10, 11, 12, 13​
    15·1 answer
  • Can someone pleas Help me with this I don't get it. And Thank you o much if you helped me.
    6·2 answers
  • Sally used 5 gallons of ginger ale, 1 gallon of orange juice, and 2 gallons of pineapple juice, to make a punch for her family h
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!