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kifflom [539]
3 years ago
14

The population of a species of rabbit triples every year. This can be modeled by f(x) = 4(3)x and f(5) = 972. What does the 972

represent?
The starting population of the rabbits
The population of the rabbits after five years
The rate the population increases
The number of years that have passed
Mathematics
2 answers:
Alona [7]3 years ago
5 0
972 represent the total population of the rabbits after five yours. 
Answer: B
Andrei [34K]3 years ago
4 0

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

The population of a species of rabbit triples every year is expressed as

f(x)=4(3)^x

Here, Initial population = 4

Rate of growth = 3

Number of years = x

So, we have f(5)=972=4(3)^5

So, it means 972 is the population of the rabbits after 5 years.

Hence, Second option is correct.

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6,859^1/3 can be written as
zloy xaker [14]

Answer:

∛6859   ( = 19).

Step-by-step explanation:

6,859^1/3 = ∛6859  (the cube root of 6859).

Using a calculator we see that this = 19.

4 0
3 years ago
Which equation is equivalent to the equation 6x+9=12? A: x + 9 = 6 B: 2 x + 3 = 4 C: 3 x + 9 = 6 D: 6 x + 12 = 9
Pachacha [2.7K]

Answer: B

Step-by-step explanation:

3 0
2 years ago
A device produces random 64-bit integers at a rate of one billion per second. After how many years of running is it unavoidable
nikitadnepr [17]

Answer:

3171 × 10^(44) years

Step-by-step explanation:

For each bit, since we are looking how many years of running it is unavoidable that the device produces an output for the second time, the possible integers are from 0 to 9. This is 10 possible integers for each bit.

Thus, total number of possible 64 bit integers = 10^(64) integers

Now, we are told that the device produces random integers at a rate of one billion per second (10^(9) billion per second)

Let's calculate how many it can produce in a year.

1 year = 365 × 24 × 60 × 60 seconds = 31,536,000 seconds

Thus, per year it will produce;

(10^(9) billion per second) × 31,536,000 seconds = 3.1536 × 10^(16)

Thus;

Number of years of running is it unavoidable that the device produces an output for the second time is;

(10^(64))/(3.1536 × 10^(16)) = 3171 × 10^(44) years

6 0
3 years ago
Ella earns 1.5 her normal hourly rate for overtime pay. Last week, Ella earned $72.00 in overtime pay for 4 hours. What is Ella'
mr_godi [17]

Answer:

Ella's normal hourly pay is $12 per hour.

Step-by-step explanation:

Let us assume that the Ella's Normal hourly pay = $x per hour

Over hourly pay = 1.5 times ( Normal pay)

                           = 1.5 ( x)  =  $ 1.5 x

⇒Ella earns $1.5x in 1 hour of overtime.

So the amount she earns in 4 hour of overtime =  4 times (per hour pay)

                                                                                = 4 ( $1.5x)   = $ 6 x

The amount Ella earned in 4 hours of over time = $72.00

According to the question:

$ 6 x  = $72.00

or, x = 72/6

       =12

or , x  =  $12

Hence, Ella's normal hourly pay is $12 per hour.

7 0
3 years ago
Present Value Hoew much shuold be deposited in an account paying 7.8% interest compounded monthly in order to have a balance of
Alisiya [41]

Answer: $15385 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.8%. So

r = 7.8/100 = 0.078

It was compounded for 4 years. Therefore,

t = 4

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore

21000 = P (1+0.078/12)^12×4

21000 = P (1+0.078/12)^48

21000 = P (1+0.0065)^48

21000 = P (1.0065)^48

P = 21000/1.365

P = $15385

6 0
2 years ago
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