Ann started reading at 4:00 and finished at 4:20 p.M. Through what fraction of a circle did the minute hand turn?

Mathematics

1 answer:

nikitadnepr [17]3 years ago

6 0

Answer:

1/3

Step-by-step explanation:

Turned 20 minutes, so the minute hand turned 20 times per hour

There are 60 minutes in 1 hour, so the minute hand turns 60 times per hour

Therefore, the fraction is 20/60, simplified to 1/3

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Mohamed decided to track the number of leaves on the tree in his backyard each year. the first year, there were 500500500 leaves

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Mohamed decided to track the number of leaves on the tree in his backyard each year. the first year, there were 500 leaves. each year thereafter, the number of leaves was 40% more than the year before. let f(n) be the number of leaves on the tree in Mohamed's backyard in the n^th year since he started tracking it. f is a sequence. what kind of sequence is it?

Number of leaves on the tree in first year = 500

The number of leaves was 40% more than the year before.

So rate of increase is 40/100 = 0.4

We use exponential growth formula,

f(n) = a(1+r)^n

Where a is the initial number, r is the rate of growth, n is the number of years

We know a= 500, r= 0.4

f(n) = 500(1+0.4)^n

f(n) = 500(1.4)^n

Plug in n=1,2,3...

f(1) = 500

f(2) = 500 * 1.4^1