Describe this number line and the numbers and fractions shown.

Mathematics

2 answers:

Step2247 [10]3 years ago

7 0

Answer:

This number line has negative and positive integers and that the negative fractions are in between each number so that means one side has positive integers and fractions and one side has negative fractions and integers

Step-by-step explanation:

the black lines would mean where the fractions and decimals are

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DENIUS [597]3 years ago

5 0

Sample Response: The number line shows -2 through 2, divided into fourths, with zero in the middle. The numbers increase as you move right and decrease as you move left.

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A large corporation starts at time t = 0 to invest part of its receipts continuously at a rate of P dollars per year in a fund f

Andrews [41]

Answer:

$A = \frac{P}{r}\left( e^{rt} -1 \right)$

Step-by-step explanation:

This is a separable differential equation. Rearranging terms in the equation gives

$\frac{dA}{rA+P} = dt$

Integration on both sides gives

$\int \frac{dA}{rA+P} = \int dt$

where $c$ is a constant of integration.

The steps for solving the integral on the right hand side are presented below.

$\int \frac{dA}{rA+P} = \begin{vmatrix} rA+P = m \implies rdA = dm\end{vmatrix} \\\\\phantom{\int \frac{dA}{rA+P} } = \int \frac{1}{m} \frac{1}{r} \, dm \\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \int \frac{1}{m} \, dm\\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |m| + c \\\\&\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |rA+P| +c$