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xxMikexx [17]
2 years ago
8

Divide. Give the quotient and remainder. 426÷8

Mathematics
1 answer:
Anna007 [38]2 years ago
8 0
We can start to solve this problem like how we solve any division problem. Since 8 doesn't go evenly into 4, we can move one digit to right, giving us the number 42. 42 divided by 8 is 5, so we write 5 on top of the division bar and keep working. Since 42-40 is 2, there's still 2 remained after doing that. Now we can bring down the 6, turning the number into 26. 26 divided by 8 is 3 remained 2, so we can put the three next to the 5. Since we have two remained and no more numbers, that means that the answer to 426/8 is 53 remainder 2. 
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Answer:

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Step-by-step explanation:

So generally whenever we express a exponential function, it's in the form: y=a(b)^x

where a=initial value aka when x=0

in this case, b can be expressed as: 1+r, where r is the growth rate, which in this case is 2.13%, and expressing that as a decimal (divide by 100), r=0.0213, thus b=1.0213

This gives us the following equation: y=16(1.0213)^x

To kind of give you a intuitive reason as to why this makes sense, think of that 1.0213 wrapping around the previous value.

So when x=0, it's actually just 16, since any number (besides 0) to the power of 0, equals 1.

When x=1, we get: 1.0213(16), which can be expressed as a 2.13% increase from year 0

When x=2, we get: 1.0213(1.0213(16)), which can be expressed as a 2.13% increase from year 1

when x=3, we get: 1.0213(1.0213(1.0213(16))), which can be expressed as a 2.13% increase from year 2.

In other words, each year we're getting another 1.0213 to multiply by (very definition of an exponent).

So to calculate the population in 1997, we put in x=7, since it's 7 years after 1990

We get the following equation: y=16(1.0213)^7

Using a calculator this simplifies to approximately: 18.5436

Rounding this to the nearest integer would yield 19, and since the values are expressed in millions, the answer would be 19 million

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<h3>Picture</h3>

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