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8_murik_8 [283]
3 years ago
6

Your home was built 5 years ago, and there were three ants. The ant population grows in such a way that each year the number of

termites is multiplied by 5.9.
Only question I have is if this is considered linear or exponential growth?
Mathematics
1 answer:
lana66690 [7]3 years ago
5 0

Answer:

i'd say it's exponential growth but im not 100% sure

Step-by-step explanation:

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Suppose a population is growing by 8% each year. How many years will it take the population to double?
Doss [256]

ANSWER

\text{9 years}

EXPLANATION

We want to find the number of years that it will take the population to double.

To do this, we have to apply the exponential growth function:

y=a(1+r)^t

where y = final value

a = initial value

r = rate of growth

t = time (in years)

For the population to double, it means that the final value must be 2 times the initial value:

y=2a

Substitute the given values into the function above:

\begin{gathered} 2a=a(1+\frac{8}{100})^t \\ \frac{2a}{a}=(1+0.08)^t=1.08^t \\ 2=1.08^t \end{gathered}

To solve further, convert the function from an exponential function to a logarithmic function as follows:

\log _{1.08}2=t

Solve for t:

\begin{gathered} \frac{\log _{10}2}{\log _{10}1.08}=t \\ \Rightarrow t=9\text{ years} \end{gathered}

It will take 9 years for the population to double.

4 0
1 year ago
What is a event made up of two or more simple events
kondaur [170]

Answer: A compound event is the combination of two or more simple events (with two or more outcomes).

Step-by-step explanation:

4 0
3 years ago
Answer question 14 please
Fittoniya [83]

Answer:

D

Step-by-step explanation:

Z is the only relation that does not pass the vertical line test, so Z is not a function.

Answer: D

7 0
2 years ago
If the area of the triangular kite is 24 square ft and its base is 4 feet, find the height of the kite.
beks73 [17]
Area of a triangle is   A = (1/2) (b) (h).  Here we are given A and b and need to find h.

A = 24 ft^2 = (1/2) (4 ft) (height)

24 = 2(height)          =>          height is 12 ft            (answer)
3 0
3 years ago
True of false a - b = a - (-b)
zmey [24]

Answer:

False

Step-by-step explanation:

a - (-b) would make it a + b

negative and negative equals positive

positive and positive equals positive

negative and positive equals negative

positive and negative equals negative

4 0
3 years ago
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