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3 years ago

Ok who wants 37 points! Just say anything so you can get it.... :)

Mathematics

2 answers:

mestny [16]3 years ago

8 0

Answer:

hello governor

Step-by-step explanation:

kirill [66]3 years ago

3 0

Thanks for the free points :)

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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)

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

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

$1.5157P(0) = 12000$

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

$P(0) = 7917$

4 0

3 years ago

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln x, [1,7] choose one letter t

inn [45]

ANSWER

B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).

$c\approx 3.08$

EXPLANATION

The given

$f(x) = ln(x)$

The hypotheses are

1. The function is continuous on [1, 7].

2. The function is differentiable on (1, 7).

3. There is a c, such that:

$f'(c) = \frac{f(7) - f(1)}{7 - 1}$

$f'(x) = \frac{1}{x}$

This implies that;

$\frac{1}{c} = \frac{ ln(7) - 0}{6}$

$\frac{1}{c} = \frac{ ln(7)}{6}$

$c = \frac{6}{ ln(7) }$

$c\approx 3.08$

Since the function is continuous on [1, 7] and differentiable on (1, 7) it satisfies the mean value theorem.

7 0

3 years ago

Rebecca bought some snacks at the bulk food store. She scooped and

oee [108]

Answer:

1.85

Step-by-step explanation:

3 0

3 years ago

Can you guys help me? The questions is... A soccer team eats lunch at a restaurant on the way to a tournament total cost of the

mr Goodwill [35]

Answer: The tip left for the servers was $14.80