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
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.
Rearrange

to give

Let

be a variable 'p' and so we can write

as

Rewrite the equation in terms of 'p'

where

using the quadratic formula

and subsitute the value of



There are two value of p; 125 and -27
Now we find the value of x
Earlier we substitute

for

and

for

When

,
![x= \sqrt[3]{125}=5](https://tex.z-dn.net/?f=x%3D%20%5Csqrt%5B3%5D%7B125%7D%3D5%20)
When
![p = -27, x= \sqrt[3]{-27}=-3](https://tex.z-dn.net/?f=p%20%3D%20-27%2C%20x%3D%20%5Csqrt%5B3%5D%7B-27%7D%3D-3%20)
So the final answer is the two values of x;
x = 5 OR x = -3
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
(c) The logarithm of a number P raised to power Q is Q.logP
log[PQ] = Q.logP
Step-by-step explanation: