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Mazyrski [523]
2 years ago
6

A population of 510,000 toads is expected to shrink at a rate of 6.2% per year. Which is the best prediction for the toad popula

tion in 18 years?
a. 478,380
b. 316,200
c. 161,147
d. 86,108
Mathematics
2 answers:
Assoli18 [71]2 years ago
5 0

Answer:  c. 161,147

Step-by-step explanation:

The exponential decay function with rate of decay r in x years is given by :-

y=A(1-r)^x, where A is the initial population.

Given : Initial population of toads= 510,000

The rate of decay = 6.2%= 0.062

The population of toads after 18 years is given by :-

y=510,000(1-0.062)^{18}\\\\=510,000(0.938)^{18}\\\\=161,146.644552\approx161,147

Hence, the best prediction for the toad population in 18 years is 161,147.

Colt1911 [192]2 years ago
4 0
P=510,000×(1−0.062)^(18)
P=161,147
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Calcula el RIQ de las temperaturas en las Ciudades de Kansas, Misouri las temperaturas: 23,25,28,28,32,33,35 y en Paradise, Mich
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Respuesta:

Kansas, Misuri = 8

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Explicación paso a paso:

El rango intercuartílico (IQR) = Q3 - Q1

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Kansas Misuri:

23,25,28,28,32,33,35

Datos pedidos: 23, 25, 28, 28, 32, 33, 35

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8 0
2 years ago
What is the answer? im trying to figure it out and its hurting my head
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3 years ago
Given: A, B, and C What is the value of X in the matrix equation AX + B = C?
Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}

B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}

C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}

AX + B = C

AX = C - B

C - B = \begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix} = \begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}

C - B = \begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Let  X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}

AX = \begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}

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Since AX = C - B

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Therefore, Option (2). X = \begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix} will be the answer.

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------------------- The answer is 8
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W=8
5 0
3 years ago
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