Round 65,470 to the nearest thousand

1 answer:

5 0

You have to have a number that ends with three zeros. You have to look at the number formed by the last three digits. If this number smaller or equal to 500, you round down, meaning you just replace the three digits by three zeros, if it is bigger than 500, you round up, meaning you replace the three digits by three zeros and add one to the digit of the thousands.

Here, the last three digits form the number 470 which is smaller than 500 so the nearest thousand of 65470 is 65000.

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A bacteria culture contains 1500 bacteria initially and doubles every hour. (a) Find a function N that models the number of bact

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Answer: a) $N(t)=1500(2)^t$

b) 25165824000

Step-by-step explanation:

The exponential equation for growth is given by :-

$y= ab^t$ , where a= initial value , b =multiplicative growth factor and t = time.

Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.

i.e. a = 1500 and b= 2

Then, the function N that models the number of bacteria after t hours will be :

$N(t)=1500(2)^t$

To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get

$N(24)=1500(2)^{24}\\\\=1500(16777216)=25165824000$

Hence, the number of bacteria after 24 hours is 25165824000.

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Alex is making puppets for a show. He bought all the string needed for $125. It costs $18 for the remaining materials to make ea

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Alex bought all the string needed for $125.

It costs $18 for the remaining materials to make each puppet.

So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.

And the variable cost is $18.

In this case we can model a Total cost function C(x) for for x number of puppets as below

$C(x)=125+18x\\ \\ \text{Here x is the number of puppets}\\ \\ \text{Since in our case the number of puppets is 50 so replace x by 50 we get }\\ \\ C(50)=125+18*50\\ \\ C(50)=125+900\\ \\ C(50)=1025 \ dollar.$