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irga5000 [103]
4 years ago
14

What does h equal in the equation S=2πr2+2πrh?

Mathematics
1 answer:
Troyanec [42]4 years ago
4 0

A

Step-by-step explanation:First, subtract

2

π

r

2

from each side of the equation to isolate the

h

term:

S

−

2

π

r

2

=

2

π

r

h

+

2

π

r

2

−

2

π

r

2

S

−

2

π

r

2

=

2

π

r

h

+

0

S

−

2

π

r

2

=

2

π

r

h

Now, divide each side of the equation by

2

π

r

to solve for

h

:

S

−

2

π

r

2

2

π

r

=

2

π

r

h

2

π

r

S

−

2

π

r

2

2

π

r

=

2

π

r

h

2

π

r

S

−

2

π

r

2

2

π

r

=

h

h

=

S

−

2

π

r

2

2

π

r

Or

h

=

S

2

π

r

−

2

π

r

2

2

π

r

h

=

S

2

π

r

−

2

π

r

2

2

π

r

h

=

S

2

π

r

−

r

2

r

h

=

S

2

π

r

−

r

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Answer:

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The population of the Tallahassee metropolitan area was 382,627 at the end of 2017. The growth rate is 2.78%.

Here the initial year is 2017 and rate is 0.0278

y=382627(1+0.0278)^t

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Graph of the equation is shown below. The x-axis represents the number of years after 2017 and y-axis represents the total population.

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y=382627(1.0278)^8

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Therefore the projected population in 2025 is 476479.

7 0
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