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Feliz [49]
3 years ago
14

The population of a town is 15,000. It decreases at a rate of 8% per year. In about how many years

Mathematics
1 answer:
Paha777 [63]3 years ago
4 0

Answer:

5

Step-by-step explanation:

If a population is decreasing by 8% we can multiply the population by 92% (1-.08)

which means we have the following equation

population=15000(.92)ⁿ

where n is the number of years

we want to know when the population will be 10,000 so we write

10,000=15,000(.92)ⁿ

.66667=.92ⁿ

a rule we have is

n=y^x\\log_yn=x

which means that

.66667=.92^n\\=log_{.92}.66667

compute this and get

4.867

round this up to 5

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Answer:

S 75°E

S 55°E

Step-by-step explanation:

Take the law if sines of a triangle:

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

Where,

a = 28 miles

B = 25°

b = 12 miles

First solve for A, using the law of sines:

\frac{a}{sinA} = \frac{b}{sinB}

\frac{28}{sinA} = \frac{12}{sin25}

Cross multiply:

28 sin25 = 12 sinA

11.83 = 12 sinA

Sin A = \frac{11.83}{12}

Sin A = 0.986

A = sin^-^1(0.986)

A = 80.44 degrees

Since A = 80.44° find A supplement, A`:

A` = 180 - 80.44

A` = 99.56°

If A` + B < 180°, find C.

Thus,

A` + B = 99.56 + 25 = 124.56

We can see that A` + B < 180

Find C:

C = 180 - (80.44+25) = 74.56° ≈ 75°

C` = 180 - (99.56+25) = 55.44° ≈ 55°

Rewrite in bearing form:

S 75°E

S 55°E

5 0
3 years ago
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In the first one divide -3 by both sides and when you get an answer plug it back in for x to check and got second one multiple bu four on both sides and you will get an answer. And put that answer on the graph.
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Liquid Tylenol has 325 milligrams of acetaminophen per 12.5 milliliters of liquid medicine (a fact that would be commonly abbrev
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10 milliliters

Step-by-step explanation:

260 mg/ 325 mg = x ml / 12.5 ml

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Find the slope of the line whose equation is 0.05x - 0.03y = 9.
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Using the slope-intercept form (y=mx+b) the slope is:
1.66666666
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3 years ago
Read 2 more answers
. In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one stu
Sergeeva-Olga [200]

Answer: B. H_0:p_1=p_2

H_a:p_1>p_2

Step-by-step explanation:

Let p_1 be the proportion of all U.S. adults that smoked in 1995. Let p_2 denote the proportion of all U.S. adults that smoked in 2000.

Objective for the study : Whether the proportion of U.S. adults that smoke declined during the 5-year period between the samples.

i.e. p_1>p_2

Alternative hypothesis(H_a) is the statement containing population  parameter that shows there is significant difference between the groups being tested.

⇒ H_a:p_1>p_2

Null hypothesis(H_0) is the statement containing population parameter that shows there is no significant difference between the groups being tested.

⇒ H_0:p_1=p_2

Hence, The hypotheses to test in this problem are

H_0:p_1=p_2

H_a:p_1>p_2

Hence, the correct answer is B. H_0:p_1=p_2

H_a:p_1>p_2

8 0
3 years ago
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