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3 years ago

Dale is riding his bicycle. He rides at a speed of 9 kilometers per hour for 14.4

Mathematics

2 answers:

lesya [120]3 years ago

6 0

Answer:

He rides for 1.6 hours.

Step-by-step explanation:

14.4 divided by 9 is 1.6

valentinak56 [21]3 years ago

6 0

Answer:

1.6 hrs took by dale to cover the distance.

Step-by-step explanation:

We have been given that dale is riding his bicycle. He rides at a speed of 9 kilometers per hour for 14.4.

Let's write the data in simplest form.

Total distance covered by dale = 14.4 km
Speed of bicycle = 9 km/hr

We have to find the time taken by dale to cover the distance.

Here, Time is given by distance / Speed.

Time = Distance/Speed

Time = 14.4/ 9

Time = 1.6 hr

Therefore, 1.6 hrs took by dale to cover the distance.

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The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,

Stella [2.4K]

Answer:

$P_4 = 7604.08$

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

$P_1 = P_0 + 0.04P_0$

Where $P_0$ is the initial population and $P_n$ is the population in year n

In year 2

$P_2 = P_1 + 0.04P_1$

It can also be written as:

$P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)$

Taking out common factor $P_0$

$P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)$

Taking out common factor (1 + 0.04)

$P_2 = (1 + 0.04) (P_0 + 0.04P_0)$

Taking out again common factor $P_0$

$P_2 = (1 + 0.04) (1 + 0.04) P_0$

Simplifying

$P_2 = P_0 (1 + 0.04) ^ 2$

$P_n = P_0 (1 + 0.04) ^ n$

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

$P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08$

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