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
saveliy_v [14]
1 year ago
5

A bacteria population grows by 10% every 2 years. Presently, the population is 80 000 bacteria. Find the population in 8 years f

rom now. (Can use log if needed but not “in”)
Mathematics
1 answer:
faust18 [17]1 year ago
3 0

An exponential function is modeled using the equation:

P(t)=a(1+r)^{\frac{t}{n}}

where P(t) is the population after t years, a is the initial population, r is the growth rate in decimals, t is the number of years, and n is the number of periods in one cycle.

From the given information, we have the following parameters:

\begin{gathered} a=80000 \\ r=0.1 \\ t=8 \\ n=2 \end{gathered}

Therefore, the population after 8 years can be calculated by substituting into the formula and solving for P(t) as follows:

\begin{gathered} P(t)=80000(1+0.1)^{\frac{8}{2}}=80000(1.1)^4 \\ P(t)=117128 \end{gathered}

The population is 117,128.

You might be interested in
A rectangular poster is to contain 722 square inches of print. the margins at the top and bottom of the poster are to be 2 inche
Delvig [45]
Let
x ----------> the height of the whole poster
<span>y ----------> the </span>width<span> of the whole poster
</span>
We need to minimize the area A=x*y

we know that
(x-4)*(y-2)=722
(y-2)=722/(x-4)
(y)=[722/(x-4)]+2

so
A(x)=x*y--------->A(x)=x*{[722/(x-4)]+2}
Need to minimize this function over x > 4

find the derivative------> A1 (x)
A1(x)=2*[8x²-8x-1428]/[(x-4)²]

for A1(x)=0
8x²-8x-1428=0
using a graph tool
gives x=13.87 in

(y)=[722/(x-4)]+2

y=[2x+714]/[x-4]-----> y=[2*13.87+714]/[13.87-4]-----> y=75.15 in

the answer is
<span>the dimensions of the poster will be
</span>the height of the whole poster is 13.87 in
the width of the whole poster is 75.15 in

6 0
3 years ago
What do I do with the x squared
Alexxandr [17]

first, find the square root of 45. and make x normal. a square root cancels out a square. It should be 6.7x

4 0
3 years ago
In a box of 25 switches, 3 are defective. what is the probability of randomly selecting a switch that is not defective? enter yo
sergey [27]
Not defective : 25 - 3 = 22
probability of not defective : 22/25

22/25 × 100% = 88%
5 0
3 years ago
Find the value of this expression if x=-1 and y=-5 x^2y/4
REY [17]

Answer:

\large\boxed{-\dfrac{5}{4}=-1\dfrac{1}{4}}

Step-by-step explanation:

\text{Put the values of x = -1 and y = -5 to the expression}\ \dfrac{x^2y}{4}:\\\\\dfrac{(-1)^2(-5)}{4}=\dfrac{(1)(-5)}{4}=\dfrac{-5}{4}

4 0
3 years ago
The price of an item has been reduced by <br> 45% <br> . The original price was <br> $17
Artist 52 [7]
Price is reduced by 45%. Which means that the new price is 55% of the original.
Therefore, (55/100)*17 = $9.35 =new price
8 0
3 years ago
Other questions:
  • Why do numbers raised to an exponent get greater but fractions raised to an exponent get smaller
    15·1 answer
  • 30x^2-12x/48x simplify rational expression
    10·1 answer
  • The space shuttle travels at about 28,000 km per hour using that information estimate how many hours will it take to reach Satur
    12·1 answer
  • Is this problem a function
    8·1 answer
  • Find the related rate and unit rate for each ratio. Remember, you divide the first quantity by the second to find the related ra
    12·1 answer
  • Rosters Chicken advertises​ "lite" chicken with​ 30% fewer calories than standard chicken. When the process for​ "lite" chicken
    5·1 answer
  • Without doing any calculations, how can you use the given information to tell which animal mo the fastest? The moves much th mov
    7·1 answer
  • Consider the graph. Which inequality best represents the graph?
    11·1 answer
  • Quick Math, Please Help! Thank you!
    12·2 answers
  • A line passes through the point (-8, 6) and has a slope of
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!