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Alenkinab [10]
3 years ago
5

Rabbit populations can double every 30 days. If there are 26 rabbits on a farm, how many rabbits will be on the farm after 240 d

ays?
Please use the Formula: Future Amount + [ ](1+__)^[ ]
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
8 0

Answer:

7680 rabbits

Step-by-step explanation:

Let y represent the number of rabbits after x days and let x represent the number of days. This is an exponential growth equation in the form:

y=ab^x

Since there is an initial value of 26 rabbits on the farm and the rabbits double every 30 days, hence the equation becomes:

y=26(2^{(\frac{x}{30} )})\\\\for\ 240\ days, i.e\ x=240:\\\\y=26(2^\frac{240}{30} )\\\\y=7680\ rabbits

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Step-by-step explanation:

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4 0
3 years ago
Find the square root of the following using division method . iv) 36360
sveticcg [70]

Answer:

190.684

Step-by-step explanation:

To find the square root of 36360, we place a bar over the numbers that we want to find their square root in pairs

    ,    1       \dot{3} \overline{63}  \overline{60}

       , 1       1

2,       <u>9</u>      2  \overline{63}

         9      261  

38,      <u>0</u>            2 60

          0            0

         .    

380,    6            26000

        ,  6           22800

3806,  8          320000

         ,  8          304480

38068, 4       1552000

           ,4

Which gives 190.684

3             63 60

We select the divisor to be the largest number which when squares will be equal to the largest number on the left which is 1

We have 1 * 1 = 1

We subtract it from the 3 to get 2

We add the 1's to get 2

We bring down the next pair which is 63 to form the next dividend, 263

We look for a number which will multiply itself to get 263, which is 9, we then have 29 × 9 = 261

We continue till we arrive at the vertical paired numbers which is 190.684.

7 0
3 years ago
Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation 0.10d + 0.05n = 5.25, where d represents the
barxatty [35]
<span>To find the number of nickels and dimes, we can use this equation: 0.10d + 0.05n = 5.25

We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.

0.10d + 0.05n = 5.25
0.10(21) + 0.05n = 5.25
2.10 + 0.05n = 5.25
0.05n = 3.15
n = 3.15 / 0.05
n = 315 / 5
n = 63

Sonji has 63 nickels.

Let's check our answer.
21(0.10) + 63(0.05) = 2.10 + 3.15 = 5.25
It seems that our answer is correct.</span>
7 0
3 years ago
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155 students are going on a field trip. Each bus can carry 42 students. If every bus except the last one carry's as many student
kotykmax [81]
3 buses x 42 = 126... So the final bus will carry 155-126=29 students.... Mental Math.
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3 years ago
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skelet666 [1.2K]

Answer:

c = 4/3

Step-by-step explanation:

3(c + 8) = 28

Since we have paranthesis, first use the dsitributive property [multiply 3 by c and 8]

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To find the value of c, you must have c alone on one side, so subtract 24 from both sides

3c + 24 = 28

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Now, divide by 3 to both sides to get your answer

3c = 4

c = 4/3

Therefore, the answer is 4/3!

I hope this helps! :)

3 0
3 years ago
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