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torisob [31]
3 years ago
7

Write an exponential function to model the situation. Find each amount after the specified time.. . A population of 1,860,000 de

creases 1.5% each year for 12 years.
Mathematics
2 answers:
Zielflug [23.3K]3 years ago
7 0
We need to write an exponential function to model the situation, find each amount after the specified time. A population of 1,860,000 decreases 1.5% each year for 12 years. 
<span>1,860,000(1−.015<span>)12
</span></span><span>1,860,000(.985<span>)12
</span></span>
A calculator can be used for the rest. 
Mila [183]3 years ago
5 0

Answer: The amount after the specified time is 155148.54.

Step-by-step explanation:

Since We have given that

Initial Population = 186000

Rate of decrement  = 1.5%

Time period = 12 years

Since we need to use "Exponential function ":

Amount=P(1-r)^t\\\\Amount=186000(1-\frac{1.5}{100})^{12}\\\\Amount=186000(1-0.015)^{12}\\\\Amount=186000(0.985)^{12}\\\\Amount=155148.54

Hence, the amount after the specified time is 155148.54.

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Jlenok [28]

Answer:

Option B is the correct answer.

Explanation:

 Current number of butterflies in the park = 20 thousand.

 Rate of increase of butterfly population = 4% = 0.04

The population of butterfly after 1 year = 20+0.04*20 = 20*1.04

The population of butterfly after 2 years =  20*1.04 + 20*1.04*0.04 = 20*1.04*1.04

 The population of butterfly after 3 years =  20*1.04*1.04 + 20*1.04*1.04*0.04 = 20*1.04*1.04*1.04

So, population of butterfly after n years = 20*(1.04*1.04*1.04* .... n times)

                                                                  = 20*1.04^n

Option B is the correct answer.

6 0
4 years ago
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miv72 [106K]
1000

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6 0
2 years ago
Can someone help me?
Papessa [141]

Answer:

2x - 2y = 24 \\ 2(x - y) = 24 \\ x = 12 + y......eq(1) \\ 4x + 7y =  - 40......eq(2) \\ substituting \: the \: value \: of \: x \: in \: eq(2) \\ 4(12 + y) + 7y =  - 40 \\ 48 + 4y + 7y =  - 40 \\ 11y =  - 40 - 48 \\ y =  \frac{ - 88}{11}  \\ y =  - 8 \\ putting \: the \: value \: of \: y \: im \: eq(1) \\ x = 12 - 8 \\  = 4

Step-by-step explanation:

3x-2y=24......eqi

x+2y=48........eqii

now solving eq i&ii

4x=72

x=72/4

x=18

now putting the value of x in eqii

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Answer:

56

Step-by-step explanation:

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Find the median and mean for each data set.
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Answer:

1. med.=6, mean=5.625

Step-by-step explanation:

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