What is the conjugate of -3+2i

A total of $6000 was invested, part of it at 3% interest and the remainder at 8%. If the total yearly interest amounted to $380,

Nastasia [14]

$ 2000 is invested at 3 % interest and $ 4000 is invested at 8 % interest

<em><u>Solution:</u></em>

Given that, total of $6000 was invested

Let "x" be the amount invested at 3 % interest

Then, (6000 - x) is the amount invested at 8 % interest

Given that,

<em><u>The total yearly interest amounted to $380</u></em>

Then, we can frame a equation as:

$x \times 3 \% + (6000 - x) \times 8 \% = 380$

<em><u>Solve the above expression for "x"</u></em>

$x \times \frac{3}{100} + (6000-x) \times \frac{8}{100} = 380\\\\0.03x + (6000-x) \times 0.08 = 380\\\\0.03x + 480 - 0.08x = 380\\\\-0.05x = -100\\\\\text{Divide both sides by -0.05 }\\\\x = 2000$

Thus, $ 2000 is invested at 3 % interest

(6000 - x) = 6000 - 2000 = 4000

$ 4000 is invested at 8 % interest

4 0

4 years ago

After arranging the terms in descending powers of a variable, select the opposite of the polynomial. 9 - 12n 2 4n 3 - 7n 4n3 - 1

leva [86]

The terms in descending powers of a variable are $\rm 4n^3 - 12n^2 - 7n + 9

$ .

Given that

Polynomial; $\rm 9 - 12n ^2 + 4n^ 3 - 7n$

<h3>We have to determine</h3>

After arranging the terms in descending powers of a variable, select the opposite of the polynomial.

<h3>According to the question</h3>

A polynomial is an expression consisting of coefficients and variables which are also known as indeterminates.

<h3>Degree of a Polynomial</h3>

The degree of a polynomial can be defined as the highest degree of a monomial within a polynomial.

The degree of the polynomial can be defined as a polynomial equation having a single variable that has the greatest exponent.

Therefore

The terms in descending powers of a variable are;

$\rm = 9 - 12n ^2+ 4n ^3 - 7n\\
\\
= 4n^3 - 12n^2 - 7n + 9$

Hence, The terms in descending powers of a variable are $\rm 4n^3 - 12n^2 - 7n + 9

$ .

To know more about Polynomial click the link given below.

brainly.com/question/10343430

7 0

3 years ago

Does any one know how to do determining the GFC

nataly862011 [7]

Answer:

Yes, GCF stands for (greatest common factor)

so to find it do this:

List the prime factors of each number.

Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.

Multiply all the circled numbers. The result is the GCF.

Step-by-step explanation:

4 0

3 years ago

1) f(x)= x3<br> expand vertically by a factor of 2

vitfil [10]

Answer: 2factor : f(x)=x3

Step-by-step explanation: Graph.

Note: My bad if this is incorrect. I'm rlly sure.

8 0

3 years ago

What is the answer to -5+3(6+7n)=82

dalvyx [7]

Answer:

n = 3 2/7

Step-by-step explanation:

First of all, look at what you have.

It is a linear equation in n, with several layers of operations performed on it.

You can solve this a couple of ways. (1) Simplify the equation to a 2-step linear equation; (2) Undo the operations done on the variable.

__

(1) -5 +18 +21n = 82 . . . eliminate parentheses

21n = 69 . . . . . . . . . . subtract 13

n = 69/21 = 23/7 . . . . divide by the coefficient of n and reduce the fraction

n = 3 2/7

__

(2) 3(6 +7n) = 87 . . . . . . add 5

6 +7n = 29 . . . . . . . . . divide by 3

7n = 23 . . . . . . . . . . . . . subtract 6

n = 23/7 . . . . . . . . . . . . divide by the coefficient of n

n = 3 2/7 . . . . write as a mixed number

7 0

3 years ago