<h3>
Answer:</h3>
$392.16 in interest saved
<h3>
Step-by-step explanation:</h3>
The payoff in 1 year costs a total of 12 × $366.72 = $4400.64.
The payoff in 2 years costs a total of 24 × $199.70 = $4792.80.
Paying off the balance in 1 year saves interest charges of ...
... 4792.80 -4400.64 = $392.16
A.) 1
Type it in your calc. to find
Answer:
58.8Joules
Step-by-step explanation:
The gravitational potential energy = mgh
m is the mass = 2kg
g is the acceleration due to gravity = 9.8 m/s²
h is the height = 3m
Substitute;
GPE = 2 * 9.8 * 3
GPE = 6 * 9.8
GPE = 58.8Joules
Hence the Gravitational Potential Energy of the block is 58.8Joules
Answer:
10.625 or 85/8
Step-by-step explanation:
So I'm going to assume that this question is asking for <u>non extraneous solutions</u>, or solutions that are found in the equation <em>and</em> are valid solutions when plugged back into the equation. So firstly, subtract 2 on both sides of the equation:
Next, square both sides:
Next, subtract x and add 2 to both sides of the equation:
Now we are going to be factoring by grouping to find the solution(s). Firstly, what two terms have a product of 6x^2 and a sum of -5x? That would be -3x and -2x. Replace -5x with -2x - 3x:
Next, factor x^2 - 2x and -3x + 6 separately. Make sure that they have the same quantity on the inside of the parentheses:
Now you can rewrite the equation as
Now, apply the Zero Product Property and solve for x as such:
Now, it may appear that the answer is C, however we need to plug the numbers back into the original equation to see if they are true as such:
Since both solutions hold true when x = 2 and x = 3, <u>your answer is C. x = 2 or x = 3.</u>