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
kakasveta [241]
3 years ago
11

Given an initial quantity Q0=150 and a growth rate of 7% per unit time, give a formula for the quantity Q as a function of time

t, and find the value of the quantity at t=10.
a) Assume the growth rate is not continuous. Round your answer for Q(10) to three decimal places.
Q(t)=
Q(10) =
b) Assume the growth rate is continuous. Round your answer for Q(10) to three decimal places.
Q(t)=
Q(10)=
Mathematics
1 answer:
rodikova [14]3 years ago
8 0

Answer:

Step-by-step explanation:

From the given information:

(a)

Since growth quantity is not continuous

Q(t) = 150 (1.07)^t

For t = 10

Q(10) = 150 (1.07)^{10}

\mathbf{Q(10) = 295.073}

(b)

Here, for a continuous growth rate, the growth quantity can be computed in terms of initial quantity and the growth rate.

i.e.

Q(t) = 150 e^{0.07t}

At t = 10 for a continuous growth rate;

Q(10) = 150 e^{0.07  \times 10}

Q(10) = 150 e^{0.7}

\mathbf{Q(10) = 302.063}

You might be interested in
Which equation involves a prime quadratic and cannot be solved by factoring? A. x2 + 5x − 4 = 0 B. x2 − x − 6 = 0 C. x2 + 3x − 4
Damm [24]

Answer:

Option A

Step-by-step explanation:

We can try to factorize all the options one by one.

For A:

x^{2} +5x-4\\=> x^{2}+4x+x-4\\=>x(x+4)+1(x-4)

We can see that the quadratic expression cannot be solved by factorization as the factors at the end of factorization are not equal in both brackets. So Option A is the correct answer for the given question.

Moreover we can also note that all the other quadratic expressions can be factorized ..

8 0
3 years ago
Can someone please help me answer this?
sammy [17]

Answer:

Not clear enough

Step-by-step explanation:

please resend the question and make it more clear and readable

8 0
3 years ago
I need help with this problem and I need it today​
ANTONII [103]

Answer:

2d shape and the area is i think 3

Step-by-step explanation:

6 0
3 years ago
Where is the major arc located in a central angle
gayaneshka [121]

Answer:

Step-by-step explanation:.

5 0
3 years ago
In need help with this finding function
hjlf
Is there a picture? I can’t see one
4 0
2 years ago
Other questions:
  • Determine the intercepts of the line.
    10·2 answers
  • Solve 3x^2 - 20x - 7 =0
    15·2 answers
  • A rectangular laundry hamper is 3 1⁄4 feet tall, 2 1⁄3 feet long, and 1 5⁄6 feet wide. What is the volume of the laundry hamper?
    15·1 answer
  • Which of these is an example of a non-random sample?
    6·1 answer
  • How do you solve 21/4=1/2x+3x and whats the answer?
    14·1 answer
  • Twelve decreased by two times a number is 8. Find the number.
    14·2 answers
  • Solve and check.
    11·2 answers
  • PLEASE ANSWER!!
    8·1 answer
  • Joe borrowed $6,000 from the bank at a rate of 7% simple interest in per year. how much interest did he pay in 9 years?
    10·1 answer
  • Ama bought 12 eggs at $1.10 each. If 3 of the eggs got broken and sold the remaining at $1.45 each, calculate the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!