1 gallon of water= 3.79 liters of water
1 liter of water makes 4 1/3 glasses of water
The value of the car after 11 years is $3137.18
<h3>
exponential function</h3>
An exponential function is in the form:
y = abˣ
where a is the initial value of y, b is the factor, y, x are variables.
Let y represent the value of the car in dollars after x years. From the table:
When x = 0, y = 12700, hence:
When x = 2, y = 9849, hence:
The exponential function is:
y = 12700(0.8806)ˣ
For 11 years:
y = 12700(0.8806)¹¹ = 3137.18
The value of the car after 11 years is $3137.18
Find out more on exponential function at: brainly.com/question/12940982
The flat surfaces of a 3D shape are called faces
By definition of absolute value, you have
or more simply,
On their own, each piece is differentiable over their respective domains, except at the point where they split off.
For <em>x</em> > -1, we have
(<em>x</em> + 1)<em>'</em> = 1
while for <em>x</em> < -1,
(-<em>x</em> - 1)<em>'</em> = -1
More concisely,
Note the strict inequalities in the definition of <em>f '(x)</em>.
In order for <em>f(x)</em> to be differentiable at <em>x</em> = -1, the derivative <em>f '(x)</em> must be continuous at <em>x</em> = -1. But this is not the case, because the limits from either side of <em>x</em> = -1 for the derivative do not match:
All this to say that <em>f(x)</em> is differentiable everywhere on its domain, <em>except</em> at the point <em>x</em> = -1.
Answer:
The Schusters will have to pay $2,034 in the sixth month.
Step-by-step explanation:
Since Carpet King is trying to increase sales, and it has instituted a new promotion by which all purchases can be paid on the installment plan with no interest, as long as the total is paid in full within six months, and there is a $20 minimum monthly payment required, if the Schuster family buys carpeting for $2,134 and makes only the minimum payment for five months, to determine how much will they have to pay in the sixth month, the following calculation must be performed:
2134 - (5 x 20) = X
2134 - 100 = X
2034 = X
Therefore, the Schusters will have to pay $ 2,034 in the sixth month.
