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
madreJ [45]
3 years ago
9

Suppose the population of a town is 2,700 and is growing 4% each year.

Mathematics
2 answers:
Papessa [141]3 years ago
6 0

Answer:

a. y=2,700(1.04)^x

b. 4,322.

Step-by-step explanation:

a. We have been given that the population of a town is 2,700 and is growing 4% each year.

We can see that population of town is increasing exponentially. Since an exponential function is in form: y=a*b^x, where,

a = Initial value.

b= For growth b is in form (1+r), where r is rate in decimal form.

y=a*(1+r)^x

Let us convert our given rate in decimal form.

4\%=\frac{4}{100}=0.04

Upon substituting a=2,700 and r=0.04 we will get,

y=2,700(1+0.04)^x

y=2,700(1.04)^x

Therefore, the equation y=2,700(1.04)^x models the population growth.

b. To find the population after 12 years we will substitute x=12 in our population growth model.

y=2,700(1.04)^12

y=2,700*1.6010322185676808

y=4,322.78699013273816\approx 4,322

Therefore, the population after 12 years will be 4,322.


8_murik_8 [283]3 years ago
3 0
Part A
Y (x)=2700 (1+0.04)^x
Y (x)=2700 (1.04)^x
where x is the number of years

Part B
Y (12)=2,700×(1.04)^(12)=4,322.78
Round your answer to get 4323
You might be interested in
Benjamin buys a candy apple that was on sale for 20% off he paid with a five dollar bill and received 1.80 dollars in change wha
seraphim [82]

Answer:2.2

Step-by-step explanation:

3 0
3 years ago
The graphed line can be expressed by which equation?
cupoosta [38]

Answer:

y + 2 = 2/3(x + 2)

Step-by-step explanation:

Slope = 2/3 (rise/run)

Point: (-2,-2)

y - - 2 = 2/3 (x - - 2

8 0
3 years ago
Someone please explain (:
GaryK [48]

Answer:

a.) 1.38 seconds

b.) 17.59ft

Step-by-step explanation:

h(t) = -16t^2 + 22.08t + 6

if we were to graph this, the vertex of the function would be the point, which if we substituted into the function would give us the maximum height.

to find the vertex, since we are dealing with something called "quadratic form" ax^2+bx+c, we can use a formula to find the vertex

-b/2a

b=22.08

a=-16

-22.08/-16, we get 1.38 when the minuses cancel out. since our x is time, it will be 1.38 seconds

now since the vertex is 1.38, we can substitute 1.38 into the function to find the maximum height.

h(1.38)= -16(1.38)^2 + 22.08t + 6 -----> is maximum height.

approximately = 17.59ft -------> calculator used, and rounded to 2 significant figures.

for c the time can be equal to (69+sqrt(8511))/100, as the negative version would be incompatible since we are talking about time. or if you wanted a rounded decimal, approx 1.62 seconds.

7 0
3 years ago
Read 2 more answers
(Will Mark Brainliest!!!)Choose the point-slope form of the equation below that represents the line that passes through the poin
krek1111 [17]

Answer:

b

Step-by-step explanation:

the point-slope form of the equation is equal to

6 0
3 years ago
Write in expanded form 72.864
Sergeeva-Olga [200]

Answer:

70 + 5 + 8/10 + 6/100 + 4/1000

Or

7*10 + 5*1 + 8*1/10 + 6*1/100 + 4*1/1000

5 0
3 years ago
Other questions:
  • Please answer this question!!
    14·1 answer
  • What is the positive solution of x2 – 36 = 5x?
    12·2 answers
  • at a particular school 50% of students travel by bus. if this represents 600 children how many children attend the school
    11·2 answers
  • Which correlation coefficient indicates the stronger linear relationship between random variables for a fixed sample size?
    5·1 answer
  • A ship leaves post and sails 12 km west, then 19 km north.approximately how far is the ship from the port
    10·1 answer
  • Which graph represents the inequality?<br> y greater-than negative one-half<br> A<br> B<br> C<br> D
    14·2 answers
  • What expression is equivalent to -9(-5z-2)-7
    8·1 answer
  • A small bag has 8 black beans, 5 white beans, and 12 red beans. Find the probability of picking a red then a black bean if you d
    10·2 answers
  • A moving company makes square boxes with edges each measuring 2 .5 feet. Each moving truck can hold 30 boxes in the trailer. If
    8·2 answers
  • x+4y=17 and -x-6y=-23 what's the x and y I really badly need this I need this so I can play at my basketball game tommorw and I
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!