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2 years ago

How many times as great is 4 x 106 compared to 8 x 103

1 answer:

3 0

The number of times $4 \times 10^{6}$ is greater than $8 \times 10^{3}$ obtained using the division operation is 500 times

Given ::

Numerator = $4 \times 10^{6}$

Denominator = $8 \times 10^{3}$

<u>Using the principle of indices :</u>

$(4 \times 10^{6}) \div (8 \times 10^{3}) = 0.5 \times 10^{(6-3)} = 0.5 \times 10^{3} = 500$

Therefore, $4 \times 10^{6}$ is 500 tones greater than $48 \times 10^{3}$

Learn more : brainly.com/question/18360970

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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 <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

Brandon bought a new pair of shorts at the store when they were having a 10% off sale. If the regular price of the pair of short

spayn [35]

You would multiply the orignial price by (10%) converted to decimal to find the discount:
21 * 0.10
=2.10

Then, you subract the discount from the original price to see how much he paid:

21 - 2.10 = $18.90

6 0

3 years ago

Read 2 more answers

Write two equivalent fractions for each. 1/2 and 4/5

Butoxors [25]

An equivalent fraction for 1/2 would be 2/4. This is because you can simplify 2/4 by dividing it by 2. The final answer would be 1/2.

An equivalent fraction for 4/5 would be 8/10. It's basically the same thing. Divide them both by 2 and you'll get 4/5 since 8 divided by 2 is 4, and 10 divided by 2 is 5.

5 0

3 years ago

Please do this question

crimeas [40]

It would be 16 more 6th graders that are not in either band or orchestra.
15 6th Graders in band
9 6th Graders in both classes
+18 6th Graders in orchestra
-----
42 6th Graders in either class

100 6th Graders in total
-42 6th Graders in either class
-------
58 6th Graders in neither class
58-42= 16 more 6th Graders that are not in either class
You're welcome :)

7 0

3 years ago

Please help me ASAP thank you

DaniilM [7]

Answer:

x=17°

Step-by-step explanation:

163+x=180 (L.P)

x=180-163

x=17°

6 0

3 years ago