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Marysya12 [62]
3 years ago
8

The deer population of a certain area is modeled by the formula: P=578e^0.045t where t is measured in years. In approximately ho

w many years will the deer population reach 3000? 37.4 years 34.7 years 35.8 years 36.6 years
Mathematics
1 answer:
STatiana [176]3 years ago
5 0

Answer:

36.6 years

Step-by-step explanation:

Here, we are to find the number of years it will take for the population of deers to reach 3,000

What to do here is simply substitute the value of 3,000 for P and use it to find t

3000 = 578e^0.045t

Divide through by 578

5.1903 = e^0.045t

Take the ln (natural logarithm of both sides)

Recall ln e = 1

ln 5.1903 = ln e^0.045t

ln 5.1903 = 0.045t

0.045t = 1.6468

t = 1.6468/0.045

t = 36.595 years which is 36.6 years

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Answer:

= 1.23214285

Step-by-step explanation:

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For every 15 minutes of a show, there are two minutes to commercial. At this rate, if leila has seen 45 minutes of a show, how m
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Answer:

51 minutes.

Step-by-step explanation:

We have been given that for every 15 minutes of a show, there are two minutes to commercial. At this rate, Leila has seen 45 minutes of a show. We are asked to find the time for which Leila has been watching TV.

We will use proportions to solve our given problem.

\frac{\text{Minutes of TV show + Advertisement}}{\text{Minutes of TV show}}=\frac{15+2}{15}

\frac{\text{Minutes of TV show + Advertisement}}{\text{Minutes of TV show}}=\frac{17}{15}  

Upon substituting our given values, we will get:

\frac{\text{Minutes of TV show + Advertisement}}{45}=\frac{17}{15}

\frac{\text{Minutes of TV show + Advertisement}}{45}\times 45=\frac{17}{15}\times 45

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\text{Minutes of TV show + Advertisement}=51

Therefore, Leila has been watching TV together for 51 minutes.

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3 years ago
Solve for x. Explain the steps taken to find the solution.<br><br> 3/2 + 3x/5 = 9/2 4x/5
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Fractions closer to 0 than to 1
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The admission fee at a carnival fair is $4.50 for children
Romashka-Z-Leto [24]

Answer:

Adult=1,385.71

Children=814.29

Approximately

Adult=1386

Children=814

Step-by-step explanation:

c= number of children

a= number of adults

Admission fee for children=$4.50

Admission fee for adults=$8.00

Total attendees=2200

Total amount realized=$5050

We need two equations to solve the two unknowns

c + a=2200 (1)

4.50c + 8.00a=5,050 (2)

From (1)

c + a=2200

c=2200 - a

Substitute c=2200 - a into (2)

4.50c + 8.00a=5,050

4.50(2200 - a) + 8.00a=5050

9900 - 4.50a +8.00a=5050

Collect like terms

9900-5050= -4.50a+8.00a

4,850=3.5a

Divide both sides by 3.5

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Substitute a=1,385,71 into (1)

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c+1385.71=2200

c=2200-1385.71

=814.29

c=814.29

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3 years ago
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