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2 years ago

A number, n, is multiplied by −0. 7. The product is -1/2. What is the value of n?

Mathematics

1 answer:

Degger [83]2 years ago

6 0

Step-by-step explanation:

-0.7n = -1/2

-0.7n = -0.5

n = 0.5/0.7

n = 0.715

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Im need help on this question

dimulka [17.4K]

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3 years ago

Write the point-slope equation of the line with the given properties. Solve the equation for y. M= -0.25, (12,7)

-Dominant- [34]

Answer:

y = -0.25x + 10

Step-by-step explanation:

Point-slope form is y - y1 = m (x - x1)

Here, y1 is 7, m is -0.25, and x1 is 12

When you plug these values in, you get y - 7 = -0.25 (x - 12)

Now we have to solve for y.

y - 7 = -0.25 (x - 12)

Distribute

y - 7 = -0.25x + 3

Add 7 to both sides

y = -0.25x + 10

3 0

3 years ago

What is 1/4 of 3200?

Greeley [361]

Answer: 800

Divide 3200 by 4 to get 800.

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3 years ago

Read 2 more answers

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 <em>a separable differential equation</em>. 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

A black line is longer than a gray line. The gray line is longer than a white line. Is the black line shorter or longer than the

enot [183]

The gray line is longer than the white line.
The black line is longer than the gray line.

White    -------------------------

Gray     ------------------------------------------

Black    --------------------------------------------------------

Answer: The black line is longer than the white line.

4 0

3 years ago

A number, n, is multiplied by −0. 7. The product is -1/2. What is the value of n?​

A number, n, is multiplied by −0. 7. The product is -1/2. What is the value of n?