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
puteri [66]
3 years ago
11

The population of a parish is growing with an annual percentage rate compounded continuously. The population reaches 1.1 times i

ts previous size in 2 years.
Write the formula to find the annual percentage rate according to the exponential growth function.
Mathematics
2 answers:
Naddika [18.5K]3 years ago
8 0

Answer:

Step-by-step explanation:

The formula for continuous compounding is expressed as

A = Pe(r x t)

Where

A represents the population after t years.

P represents the initial population.

r represents the rate of growth

t represents the time in years.

From the information given,

A = 1.1 × P = 1.1P

t = 2 years

Therefore,

1.1P = Pe(r x 2)

1.1P/P = e(r x 2)

1.1 = e(2r)

Taking ln of both sides of the equation, it becomes

Ln 1.1 = 2rlne

0.095 = 2r

r = 0.095/2

r = 0.0475

Therefore, the formula to find the annual percentage rate is

A = Pe(0.0475t)

Sauron [17]3 years ago
7 0

Answer:

4.8%

Step-by-step explanation:

The population that grows with an annual percentage rate compounded continuously is given by: H = H° e^rt

Let the population be represented by H

The population reaches 1.1 times its previous size in 2 years.

So when t=2,

H = 1.1 H°

We substitute to obtain:

1.1 H° = H° e^r2

1.1 = e^2r

Take natural log to get:

In 1.1 = 2r

r = In 1.1 /2

r = 0.0477

Therefore the annual percentage rate is 4.8%

You might be interested in
Vanessa uses the expressions (3x² + 5x + 10) and (x² – 3x - 1) to represent the length and width of her patio.
Kay [80]

Answer:

a) 3x⁴-4x³-8x²-35x-10

Step-by-step explanation:

3x2(x²-3x-1)+5x(x²-3x-1)+10(x²-3x-1)

3x⁴-9x³-3x²+5x³-15x²-5x+10x²-30x-10

3x⁴-9x³+5x³-3x²-15x²+10x²-5x-30x-10

3x⁴-4x³-8x²-35x-10

5 0
2 years ago
Can somebody please help me with this question
aleksandr82 [10.1K]

Answer:

An event can have a probability of 3/2  is not true

Step-by-step explanation:

The probability of an event happening is between 0 and 1 inclusive.

A probability of 1 means the event is certain to happen or 100%

You cannot have a probability greater than 1 so

An event can have a probability of 3/2 cannot happen

4 0
2 years ago
It is given that quadrilateral ABCD is a kite. We know
NemiM [27]

Answer:

Kite

Perpendicular

Reflexive

HL

Step-by-step explanation: Just did it on edg 2021.

3 0
2 years ago
Read 2 more answers
Which expression is equivalent to 6(4v)?
riadik2000 [5.3K]

Answer:

24v

Step-by-step explanation:

simply multiply perform the distributive property. so multiply 6 and 4 and you should get 24. after just add in the v.

pls mark brainlest

5 0
2 years ago
Read 2 more answers
There are 4 portable classrooms at Glynn High School. Four teachers will be assigned to the rooms. In how many ways can these as
Crank

Answer:

24

Step-by-step explanation:

In the first classroom, there are 4 possibilities of teachers to be assigned.

In the second classroom, 1 teacher has already been assigned, so there are 3 possibilities.

In the third classroom, 2 teachers have already been assigned, so there are only 2 possibilities.

Finally, there is only 1 possible teacher for the fourth classroom, since 3 teachers have already been assigned to other classrooms.

We can find the total number of possibilities using the product rule.

N = 4 × 3 × 2 × 1 = 24

7 0
2 years ago
Other questions:
  • One company makes inflatable swimming pools that come in four sizes of rectangular prisms. The length of each pool is twice the
    11·2 answers
  • If the sides of a cube are 4 inches long, then its volume is A) 64 in B) 64 in2 C) 64 in3 D) 64 in4
    10·1 answer
  • What is the product of (–22.1)(–5.6)?<br><br> A)–123.76<br> B)–27.7<br> C)27.7<br> D)123.76
    6·2 answers
  • Factor this plzzzzzzzzzzz . <br> 4a2–b2–2a+b
    14·1 answer
  • Write the equation of the line in slope-intercept form.
    8·1 answer
  • The difference of 5 times a number and 8 is 27. which equation below can be used to find the unknown number?
    12·2 answers
  • If the wages of 13 workers for 4 days are $9828, find the wages of 1 1 workers for 5 days.
    6·2 answers
  • Coterminal angle between 0 degrees and 360 degrees if coterminal angle is -450
    8·1 answer
  • Help fast please it's timed ​
    11·1 answer
  • HELPPPPPPPPPPPPPPPPPPPPPPPPPP
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!