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4 years ago

How do you represent any number in an equation?

Mathematics

2 answers:

RideAnS [48]4 years ago

5 0

Any unknown number in an equation you represent with a variable

Vesna [10]4 years ago

5 0

You can represent it as a variable.

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The CEO of a corporation has $10,000 to give as bonuses. The amount each employee receives depends on how many employees receive

crimeas [40]

Answer:

Direct proportional

Step-by-step explanation:

The direct proportional refers to the effect of one element to the other element.

In other words, when one variable is increased the other variable is also increased but the product would remain the same

y = kx

This equation represents that y is directly proportional to x

As in the given case, the bonus amount is of $10,000 and the amount earned by every employee depends on how numbers of workers are earning a bonus.

Plus, the equation is

y = 10,000

This shows the direct proportional example

8 0

4 years ago

Which best describes this triangle? A. All sides are different lengths; one angle is obtuse. B. All sides are equal; all angles

Phoenix [80]

All sides are equal and less than 90 degrees

5 0

3 years ago

Read 2 more answers

Between the two investment plans listed below, which will have the greatest future value and by what amount? Round all answers t

inn [45]

Answer:

from original question:

Step-by-step explanation:

To determine the future value for the 401(k), we need to determine the amount contributed annually. It is stated that the amount the employee contributes to the fund is 9% of $45,624. $45,624(0.09) = $4,106.16 The employer contributes a maximum of 3% of the employee contribution. Therefore: $45,624(0.03) = $1368.72. Therefore, the total annual contribution is $5,474.88, giving a future value of $196,302.40. For the Roth IRA, the monthly contributions are $352.45 giving a future value of $152,636.09. Therefore, the 401(k) has a greater future value by $43,666.31.

5 0

3 years ago

Solve the equation after making an appropriate substitution. X^6-98x^3=3375

Leni [432]

Rearrange $x^6-98x^3=3375$ to give

$x^6-98x^3-3375=0$

Let $x^3$ be a variable 'p' and so we can write $x^6$ as $x^6=(x^3)(x^3)=(p)(p)= p^2$

Rewrite the equation in terms of 'p'

$p^2-98p-3375 = 0$

where $a=1, b=-98, c=-3375$

using the quadratic formula $\frac{-b+ \sqrt{b^2-4ac} }{2a}$ and subsitute the value of $a, b, c$

$p_1= \frac{-(-98)+ \sqrt{(-98)^2-4(1)(-3375)} }{2} =125$

$p_2= \frac{-(-98)- \sqrt{(-98)^2-4(1)(-3375)} }{2} =-27$

There are two value of p; 125 and -27

Now we find the value of x

Earlier we substitute $x^3$ for $p$ and $x^6$ for $p^2$

When $p=125$ , $x= \sqrt[3]{125}=5$
When $p = -27, x= \sqrt[3]{-27}=-3$

So the final answer is the two values of x;

x = 5 OR x = -3

3 0

3 years ago

3. Which expression is equivalent to log532?

saul85 [17]

Answer: The Nth power xN of a number x was originally defined as x multiplied by itself, until there is a total of N identical factors. By means of various generalizations, the definition can be extended for any value of N that is any real number.

(2) The logarithm (to base 10) of any number x is defined as the power N such that

x = 10N

(3) Properties of logarithms:

(a) The logarithm of a product P.Q is the sum of the logarithms of the factors

log (PQ) = log P + log Q

(b) The logarithm of a quotient P / Q is the difference of the logarithms of the factors

log (P / Q) = log P – log Q

log[PQ] = Q.logP

Step-by-step explanation:

8 0

3 years ago