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1 year ago

What is 40% of 526,367.50

Mathematics

2 answers:

Airida [17]1 year ago

4 0

Answer:

$210547$

Hope this helps. :)

Anna35 [415]1 year ago

3 0

Answer:

210547

Step-by-step explanation:

Multiply 526, 367.50 by 40 percent than the answer you get from that subtract from 526,367.50 then you get 210547.

Hope this Helps!

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What is this answer?

shusha [124]

Answer:

Step-by-step explanation:

Because I did this already

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2 years ago

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How much would $100 invested at 6% interest compounded monthly be worth after 20 years? Round your answer to the nearest cent. A

MissTica

Total = 100.00 * (1 + .06/12)^12*20
Total = 100.00 * (1.005)^240
Total = 100.00 * 3.3102044758 
Total = 331.02
Answer is D

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3 years ago

Use the figure to the right to find the value of PT. T is the midpoint of PQ.

vichka [17]

Answer:

Step-by-step explanation:

Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.

Therefore:

$5x + 2 = 7x - 6$

Let's find the value of x

Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.

$5x - 7x = - 2 - 6$

$-2x = -8$

Divide both sides by -2

$x = 4$

Plug in the value of x into the expression, 5x + 2, to find PT.

PT = 5(4) + 2 = 22.

8 0

2 years ago

Use complete sentences to describe why √-1 ≠ -√1

tekilochka [14]

Well let's say that to compare these two numbers, we have to start with the definition first.

Definition

$\displaystyle \large{ {y}^{2} = x} \\ \displaystyle \large{ y = \pm \sqrt{x} }$

Looks like we can use any x-values right? Nope.

The value of x only applies to any positive real numbers for one reason.

As we know, any numbers time itself will result in positive. No matter the negative or positive.

Definition II

$\displaystyle \large{ {a}^{2} = a \times a = |b| }$

Where b is the result from a×a. Let's see an example.

Examples

$\displaystyle \large{ {2}^{2} = 2 \times 2 = 4} \\ \displaystyle \large{ {( - 2)}^{2} = ( - 2) \times ( - 2) = | - 4| = 4}$

So basically, their counterpart or opposite still gives same value.

Then you may have a question, where does √-1 come from?

It comes from this equation:

$\displaystyle \large{ {y}^{2} = - 1}$

When we solve the quadratic equation in this like form, we square both sides to get rid of the square.

$\displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{ - 1} }$

Then where does plus-minus come from? It comes from one of Absolute Value propety.

Absolute Value Property I

$\displaystyle \large{ \sqrt{ {x}^{2} } = |x| }$

Solving absolute value always gives the plus-minus. Therefore...

$\displaystyle \large{ y = \pm \sqrt{ - 1} }$

Then we have the square root of -1 in negative and positive. But something is not right.

As I said, any numbers time itself of numbers squared will only result in positive. So how does the equation of y^2 = -1 make sense? Simple, it doesn't.

Because why would any numbers squared result in negative? Therefore, √-1 does not exist in a real number system.

Then we have another number which is -√1. This one is simple.

It is one of the solution from the equation y^2 = 1.

$\displaystyle \large{ {y}^{2} = 1} \\ \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{1} } \\ \displaystyle \large{ y = \pm \sqrt{1} }$

We ignore the +√1 but focus on -√1 instead. Of course, we know that numbers squared itself will result in positive. Since 1 is positive then we can say that these solutions exist in real number.

Conclusion

So what is the different? The different between two numbers is that √-1 does not exist in a real number system since any squared numbers only result in positive while -√1 is one of the solution from y^2 = 1 and exists in a real number system.

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2 years ago

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Use cramer's rule to determine if the system is inconsistent system or contains dependent equations. 2x + 7 = 8 6x + 3y = 24 que

Natali [406]

Answer: In the equations that you have given, we have a dependent system.

2x + y = 8 (I assumed that you meant to type y instead of 7)
6x + 3y = 24

To use Cramer's Rule, we have to take the determinant of 3 different matrices written in the problem. Taking the determinant of the coefficient matrix produces a zero.

2 1 This is the coefficient matrix.
6 3

6 - 6 = 0

Since this is 0, the rest of the work will be undefined meaning the systems are dependent (or they are the versions of the same equation).

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3 years ago

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