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3 years ago

Write the equation in logarithmic form4^6=4096

Mathematics

1 answer:

LuckyWell [14K]3 years ago

6 0

Answer:

log 4 ( 4096 ) = 6

Step-by-step explanation:

Convert the exponential equation to a logarithmic equation using the logarithm base ( 4 ) of the right side ( 4096 ) equals the exponent ( 6 )

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To help with her retirement savings, Donna has decided to invest. Assuming an interest rate of 3.59% compounded quarterly, how m

cricket20 [7]

Answer:

We get the value of Principal amount i.e initial investment = $61640

Step-by-step explanation:

Interest rate r = 3.59% or 0.0359

Compounded quarterly n = 4

Future Amount A = 117,300

Time t = 18 years

We need to find initial investment i,e Principal Amount P

The formula used is: $A=P(1+\frac{r}{n})^{nt}$

Putting values and finding P

$A=P(1+\frac{r}{n})^{nt}\\117300=P(1+\frac{0.0359}{4})^{4*18} \\117300=P(1+0.008975)^{72}\\117300=P(1.008975)^{72}\\117300=P(1.903)\\P=\frac{117300}{1.903}\\P=61640$

So, We get the value of Principal amount i.e initial investment = $61640

7 0

3 years ago

Which number belongs to the set of rational numbers and the set of integers?

professor190 [17]

-12 is an integer number, and you can write it as {-12}{1}

7.3 is a rational number, and you can write is as {73}{10}

0.41 is a rational number, and you can write is as {41}{100}

6 is a whole number, and you can write it as {6}{1}

3 1/2 is a rational number, and you can write is as

3+{1}{2}={6}{2}+{1}{2}={7}{2}

Hopes this helps also will you mind giving me brainliest?

5 0

3 years ago

I need some help <br> I will give you brainliest and heart!

tankabanditka [31]

Answer:

Correct!

Step-by-step explanation:

First, I'll try to solve it myself.

2(2a-1)+3a=7a-2

7a-2

4a-2=7a-2

His is very correct!

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3 years ago

Help Me! I suck with vectors.<br> Look at the attached pictures for the problem.

Westkost [7]

Multiplying a vector $x$ by a constant $k$ gives you a new vector whose components are the same as $x$ , but scaled by $k$ :

$x=\langle x_1,x_2\rangle\implies x=\langle kx_1,kx_2\rangle$

So we have

$u=\langle5,-7\rangle\implies-6u=\langle-30,42\rangle$

$v=\langle-11,3\rangle\implies2v=\langle-22,6\rangle$

Vector addition is just a matter of adding the corresponding components together:

$x=\langle x_1,x_2\rangle,y=\langle y_1,y_2\rangle\implies x+y=\langle x_1+y_1,x_2+y_2\rangle$

Then

$2v-6u=\langle-22,6\rangle+\langle-30,42\rangle=\langle-22-30,6+42\rangle$

$\implies\boxed{2v-6u=\langle-52,48\rangle}$

$\|x\|$ denotes the norm/magnitude of the vector $x$ :

$x=\langle x_1,x_2\rangle\implies\|x\|=\sqrt{{x_1}^2+{x_2}^2}$

We have

$\|2v-6u\|=\sqrt{(-52)^2+48^2}=4\sqrt{313}$

$\implies\boxed{\|2v-6u\|\approx70.77}$

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4 years ago

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Assoli18 [71]

It looks like you’ve figured it out lol but if u need help ask me me

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3 years ago

Write the equation in logarithmic form4^6=4096​

Write the equation in logarithmic form4^6=4096