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zhenek [66]
2 years ago
10

Which equation represents a population of 490 animals that decreases at an annual rate of 20% ?

Mathematics
1 answer:
gladu [14]2 years ago
7 0

The equation which represents a population of 490 animals that decreases at an annual rate of 20% is;

P(x)=490(1+0.20)^{x}

<h3>What is exponential function?</h3>

When the input variable x appears as an exponent in the formula P(x)=a b^{x} the exponential function is indicated.

The exponential curve is influenced by both the exponential function and thus the value of x.

where, a = initial value.

b = 1 + r (rate of increase or decrease)

The animals' original population is indicated here by: 490

Thus, a = 490

Additionally, 20% is the rate of increase.

So, r = 20%

r = 0.20

As a result, the population function, or the number of animals in a population, is as follows:

P(x)=490(1+0.20)^{x}

To know more about the exponential function, here

brainly.com/question/12940982

#SPJ4

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Solve x-2y=12 if the domain is {-3, -1, 0, 2, 5}
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Range {-7.5,-6.5,-6,-5,-3.5}
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You and your friend collect each rocks and fossils. your friend collects three times as many rocks and half as many fossils as y
Murljashka [212]

Answer:

  • you - 4 rocks and 16 fossils
  • friend - 12 rocks and 8 fossils

Step-by-step explanation:

Let the rock be r and the fossil be f

<u>Equations</u>

  • You: r + f = 20
  • Friend: 3r + 1/2f = 20

<u>Double the second equation and subtract the first one:</u>

  • 2(3r + 1/2f) - (r - f) = 2*20 - 20
  • 6r - r = 20
  • 5r = 20
  • r = 4

<u>Then find f:</u>

  • f = 20 - 4 = 16

So you collect 4 rocks and 16 fossils

<u>Friend collects:</u>

  • 4*3 = 12 rocks and
  • 1/2*16 = 8 fossils
8 0
3 years ago
A bottle of perfume holds 0.55 ounce. A bottle of cologne holds 0.2 ounce. How many more ounces does the bottle of perfume hold?
gulaghasi [49]
 0.55
-0.20
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0.35 is the answer.
8 0
3 years ago
Read 2 more answers
julian want to buy a new ipod that costs $220. he goes into a store and sees that it is on sale and has a 35% discount. he will
tigry1 [53]

Answer:

The final cost for him is;

\text{ \$154.44}

Explanation:

Given that the ipod costs $220;

C=\text{ \$220}

The store gives a 35% discount, which means he will only pay 65% of the original cost;

100\text{\%- 35\% = 65\%}

The store price is;

\begin{gathered} P=\text{ 65\% of \$220} \\ P=\frac{65}{100}\times\text{ \$220} \\ P=\text{ \$143} \end{gathered}

Also he will need to pay additional 8% sales tax on the discounted price P;

\begin{gathered} t=8\text{\% of P} \\ t=8\text{\% of \$143} \\ t=\frac{8}{100}\times\text{ \$143} \\ t=\text{ \$11.44} \end{gathered}

The final cost he need to pay is the sum of the discounted price and the sales tax;

\begin{gathered} F=P+t \\ F=\text{ \$143 + \$11.44} \\ F=\text{ \$154.44} \end{gathered}

Therefore, the final cost for him is;

\text{ \$154.44}

5 0
2 years ago
1+3+5......+99 Si rezolvarea va rog fiindca nu inteleg !!
levacccp [35]
I hope this helps you

4 0
4 years ago
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