36 equal monthly payments to pay the car in full is $125.
Given that, the total cost of the car was $7500.
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Here, Ryan made a $3000 down payment on a car and 36 equal monthly payments.
Let the number of monthly payments be x.
Now, 7500 - 3000 = 4500
x = Money left to pay ÷ 36
⇒ x = 4500 ÷ 36
⇒ x = 125
Therefore, 36 equal monthly payments to pay the car in full is $125.
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The solution to the equation 6x² - 12 = -1 is x = ±√(11/6). The correct option is A.
A solution to an equation is a number that can be substituted for the variable to provide a true number statement.
The given equation is as follows:
6x² - 12 = -1
To solve for x, we will first isolate the variable term by adding 12 to both sides of the equation.
6x² - 12 = -1
6x² = 11
Next, we will divide both sides by 6 to get x² by itself.
6x²/6 = 11/6
x² = 11/6
Take the squareroot of both sides of the equation.
We need to include both the positive and negative square roots because x² can be positive or negative.
x = ±√(11/6)
Therefore, the solution to the equation 6x² - 12 = -1 is x = ±√(11/6).
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Answer:
x=±√66/6
Step-by-step explanation:
Took the quiz
Select from the drop-down menus to correctly complete each statement.
The function is an exponential Choose...
function.
The percent rate of change of the function is Choose..
%
The function is an exponential growth function, and the percent rate of change of the function is 160%
An exponential function is a mathematical function of the following form: f(x) = aˣ. where x is a variable, and a is a constant called the base of the function.
Given is an exponential function, f(x) = 0.3(2.6)ˣ
This is in the form of,
f(x) = a(b)ˣ
Where,
a is the initial value or y-intercept
b is the base of the exponential function
If b> 1---> we have a growth function
if b< 1---> is a decay function
If r is the percent rate of change
b = (1+r)
We have
a = 0.3
b = 2.6
Since, the value of b >1
Therefore,
f(x) = 0.3(2.6)ˣ is a growth function
For r,
r = b-1 = 2.6-1 = 1.6
Converting into percent,
1.6 x 100 = 160%
Hence, the function is an exponential growth function, and the percent rate of change of the function is 160%
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