<span>24x</span>⁴<span>a</span>² <span>+ 30x</span>²<span>a</span>³ <span>= 6x</span>²<span>a</span>²<span>(4x</span>² + 5a<span>)</span>
Answer: The maturity value is $43743
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount that was taken as loan.
R represents interest rate.
T represents the duration of the loan in years.
From the information given,
P = 42000
R = 8.3
T = 6 months = 6/12 = 0.5 years
I = (42000 × 8.3 × 0.5)/100 = $1743
The maturity value is the total amount paid after the duration of the loan. It becomes
42000 + 1743 = $43743
First use the chain rule; take
. Then

By the power rule,

By the quotient rule,



So


Two other examples of linear relationships are changes of units and finding the total cost for buying a given item x times.
<h3>
Other examples of linear relationships?</h3>
Two examples of linear relationships that are useful are:
Changes of units:
These ones are used to change between units that measure the same thing. For example, between kilometers and meters.
We know that:
1km = 1000m
So if we have a distance in kilometers x, the distance in meters y is given by:
y = 1000*x
This is a linear relationship.
Another example can be for costs, if we know that a single item costs a given quantity, let's say "a", then if we buy x of these items the total cost will be:
y = a*x
This is a linear relationship.
So linear relationships appear a lot in our life, and is really important to learn how to work with them.
If you want to learn more about linear relationships, you can read:
brainly.com/question/4025726
Answer:
roots
Step-by-step explanation:
A quadratic equation with real or complex coefficients has two solutions, called roots.
Roots are also called x-intercepts or zeros. ... The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.