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3 years ago

If a circle has a diameter of 14 inches, what is the circle’s area?

Mathematics

2 answers:

IgorC [24]3 years ago

8 0

Step-by-step explanation:

Diameter of circle = 14 inches

Radius = 7 inches

$area \: of \: circle = \pi {r}^{2} \\ = \frac{22}{7} \times {7}^{2} \\ = 22 \times 7 \\ = 154 \: {inches}^{2}$

Hence, area of circle = 154 square inches.

irakobra [83]3 years ago

8 0

Answer:

153.86

Step-by-step explanation:

7(radious) squared (49)times 3.14 = 153.86

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4 years ago

The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial

GREYUIT [131]

Answer:

P(0) = 7,917

Step-by-step explanation:

The population of the community is given by the following formula:

$P(t) = P(0)(1+r)^{t}$

In which P(0) is the initial population and r is the growth rate.

The initial population P0 has doubled in 5 years.

This means that

$P(5) = 2P(0)$

Which lets us find r.

$P(t) = P(0)(1+r)^{t}$

$2P(0) = P(0)(1+r)^{5}$

$(1+r)^{5} = 2$

Applying the 5th root to both sides

$1+r = 1.1487$

$r = 0.1487$

$P(t) = P(0)(1.1487)^{t}$

Suppose it is known that the population is 12,000 after 3 years.

With this, we find P(0)

$P(t) = P(0)(1.1487)^{t}$

$12000 = P(0)(1.1487)^{3}$

$1.5157P(0) = 12000$

$P(0) = \frac{12000}{1.5157}$

$P(0) = 7917$

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3 years ago