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tankabanditka [31]
3 years ago
7

A butterfly population is decreasing at a rate of 0.82% per year. There are currently about 100,000 butterflies in the populatio

n. How many butterflies will there be in the population in 250 years?
Mathematics
1 answer:
spayn [35]3 years ago
5 0

Answer:

  12,765

Step-by-step explanation:

The exponential formula for the population can be written as ...

  population = (initial population)(1 -decay rate)^t

where t is in years, and the decay rate is the loss per year.

The given numbers make this ...

  population = 100,000(0.9918^t)

In 250 years, the population will be about ...

  population = 100,000(0.9918^250) ≈ 12,765.15

There will be about 12,765 butterflies in 250 years.

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What is the measure of ∠XBC?
Angelina_Jolie [31]

Answer:

m∠XBC = 135

Step-by-step explanation:

What is the measure of ∠XBC?

m∠XBC = m∠BAC + m∠BCA

3p – 6 = p + 4 + 84

3p – 6 = p + 88

2p – 6 = 88

2p = 94

From the simplified expression, we need to find the value of p first

From the last line we can see that;

2p =94

Divide both sides by 2:

2p/2 =94/2

p = 47

From the expression, m∠XBC =3p-6

m∠XBC = 3(47)-6

m∠XBC = 141 -6

m∠XBC = 135

Hence the measure of m∠XBC is 135

8 0
2 years ago
I only need help with A.
Vlada [557]
15 x 20 and 10 x 30 hope this works
6 0
3 years ago
6(21)+6(31) evaluate
Artist 52 [7]
6(21)=72 6(31)=186
add 72+186=258

258 is the answer
6 0
3 years ago
Read 2 more answers
A teacher writes a simple computer program where she can type students name and computer tells her the students birthday.
Vikki [24]

Considering that each student has only one birthday, each input will be related to only one output, hence this relation is a function.

<h3>When does a relation represent a function?</h3>

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

  • The input is the student's name.
  • The output is the student's birthday.

Each student has only one birthday, hence each input will be related to only one output, hence this relation is a function.

More can be learned about relations and functions at brainly.com/question/12463448

#SPJ1

5 0
1 year ago
Businesses deposit large sums of money into bank accountsImagine an account with $10 million dollars in it.
adoni [48]

again, let's assume daily compounding means 365 days per year.

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (10000000)(0.0212)(1)\implies \boxed{I=212000}

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years\dotfill &1 \end{cases}

A=10000000\left(1+\frac{0.0212}{365}\right)^{365\cdot 1}\implies A\approx 10214256.88 \\\\\\ \underset{\textit{earned interest amount}}{10214256.88~~ - ~~10000000 ~~ \approx ~~ \boxed{214256.88}}

what's their difference?  well

\stackrel{\textit{compounded daily}}{\approx 214256.88}~~ - ~~\stackrel{\textit{simple interest}}{212000}\implies \boxed{2256.88}

7 0
2 years ago
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