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2 years ago

Write an equality that represents the graph below: (help me quick please)

Mathematics

2 answers:

insens350 [35]2 years ago

4 0

Answer:

Step-by-step explanation:

It's a solid dot that's going left, so it's less than or equal to. What integer is it on? -2. So it is either less than or equal to -2.

nasty-shy [4]2 years ago

4 0

Answer:

Step-by-step explanation:

since its closed its ≤ and going to the left means less than or equal to. :D

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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.

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

Therefore,

$\frac{1}{r} \ln |rA+P| = t+c$

Multiply both sides by $r.$

$\ln |rA+P| = rt+c_1, \quad c_1 := rc$

By taking exponents, we obtain

$e^{\ln |rA+P|} = e^{rt+c_1} \implies |rA+P| = e^{rt} \cdot e^{c_1} rA+P = Ce^{rt}, \quad C:= \pm e^{c_1}$

Isolate $A$ .

$rA+P = Ce^{rt} \implies rA = Ce^{rt} - P \implies A = \frac{C}{r}e^{rt} - \frac{P}{r}$

Since $A = 0$ when $t=0$ , we obtain an initial condition $A(0) = 0$ .

We can use it to find the numeric value of the constant $c$ .

Substituting $0$ for $A$ and $t$ in the equation gives

$0 = \frac{C}{r}e^{0} - \frac{P}{r} \implies \frac{P}{r} = \frac{C}{r} \implies C=P$

Therefore, the solution of the given differential equation is

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

4 0

3 years ago

Which of the following is an arithmetic sequence? -7/11 6/11 -5/11 4/11....

Anastasy [175]

Answer:

the right answer is $\frac{3}{4} ,-\frac{3}{5},- \frac{3}{6} ,-\frac{3}{7}$

Step-by-step explanation:

to find the reason for the sequence, the following formula must be used;

q = t2 / t1

where t2 is equal to the second value of the sequence and t1 to the first value.

q= t2/t1

q = $\frac{-\frac{3}{5} }{-\frac{3}{4} } = \frac{12}{15} =\frac{4}{5}$

8 0

3 years ago

Helppp plzzz idk I need help

spin [16.1K]

Answer:

The correct answer is y.

Step-by-step explanation:

hope it works out !!

3 0

3 years ago

If the parent function is f(x) = x2 and its transformed function is g(x) = 2(x − 1)2 + 2, how is the graph of g(x) transformed f

Galina-37 [17]

The answer is A. g(x) is a vertical stretch and shift over both axes.

7 0

3 years ago

Read 2 more answers

I will give u brainliest

spayn [35]

Answer:

Step-by-step explanation:

sqrt(85) is about 9.2, and the question asks to round to the nearest integer, making it 9. 9.2^2 is almost 85, which is how you can check your answer.

4 0

3 years ago