Round 5.456 to the nearest tenth of a mile.

Mathematics

1 answer:

Blababa [14]3 years ago

5 0

5. 4 is in the tenths place and it is under 5 so it rounds down to 5

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The population of a pigeons in a city is 100 and is growing exponentially at 20% per year. Write a function to represent the pop

NikAS [45]

Answer:

p(t) = 100×1.0153^(12t)
1.53% per month

Step-by-step explanation:

In general, the function will be written ...

p(t) = (initial value)×(growth factor)^t

where t is in units comparable to those applicable to the growth factor. The growth factor is found from ...

growth factor = 1 + growth rate

Here, the growth rate is given as 20% per year, so the growth factor per year is ...

1 +20% = 1.20

The initial value is given as 100, so we can write the exponential function as ...

p(t) = 100×1.20^t

The time period units for t are supposed to be years, but we want to find the growth rate for a month. We can do that by recognizing there are 12 months in a year. In the above equation, we can use (1/12)(12t) in place of t, then figure the growth factor (and growth rate) per month.

p(t) = 100×(1.20^(1/12))^( 12t)

p(t) = 100×1.0153^(12t) . . . . population exponential function

This shows the monthly growth factor is 1.0153, so the monthly rate of change (growth rate) is ...

1.0153 -1 = 0.0153 = 1.53% . . . . monthly rate of change

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3 years ago

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The bailey family started a trip with a tank of 7/8 full of gas.The family finished the trip with a tank 1/4 full of gas.If no g

aleksklad [387]

The answer is A.5/8.

Why?

Multiply 1/4 with 2/2 to get the same denominator as 7/8, 8. That will yield 2/8.Then, simply subtract 2/8 from 7/8 (7/8 - 2/8), and that equals 5/8.

Hope this helps!

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