Answer:
A
Step-by-step explanation:
Given
2k² - k - 3
Consider the factors of the product of the k² term and the constant term which sum to give the coefficient of the k- term.
product = 2 × - 3 = - 6 and sum = - 1
The factors are + 2 and - 3
Use these factors to split the k- term
2k² + 2k - 3k - 3 ( factor the first/second and third/fourth terms )
= 2k(k + 1) - 3(k + 1) ← factor out (k + 1) from each term
= (2k - 3)(k + 1) → A
When it comes to laplace equations, there are transformation equations to follow. Generally, when you want to transform a laplace equation, you change the equation from f(t) to F(s). If you do the reverse, it is called the reverse laplace equation.
Based on the given, the useful transformation equation is shown in the attached picture.
When the term is s^2, that must mean that the equation is 1!/s^(1+1) to yield 1/s^2. This means that n=1. Taking the reciprocal s^2 must be equal to 1/t. Thus, for the first term, -11s^2 is equal to -11/t. For the second term, n must be equal to 6 so that 6!/s^(6+1) would yield 720/s^7. Thus, 720s^7 is equal to 1/t^6.
Hence, the transformed equation is
-11/t - 1/t^6
2:3
Keep diving each number by 2.
Answer:
can be expressed as decimal: 0.025
s= 1.025* $250
= $256.25
after 8 years
s= $250* 1.025^8
~$304.6
earned $54.6
Step-by-step explanation:
2 and a half is equivilant to 2.5
because it is a % (out of 100) move the decimal 2 places down
2.5-->0.25-->0.025
so can be expressed as decimal: 0.025
interest after 1 year is:
original amount of money * (interest rate+1.0)
+1 because you are adding on to 100%. you already have 100%. if it was just the interest rate, the amount of money would go down.
so
s= 1.025* $250
=1.025* 250
=256.25
interest after 8 years,
that means you have to take the original, and multiply it by the interest rate, then the new original multiply by intrest rate a total of 8 times
to do this use an exponent, because exponents base the total off the total before them. if that makes any sense srry
s= $250* 1.025^8
~$304.6 (I used calculator)
to get her earnings, subtract the new amount of money with her original amount of money
304.6-250
=54.6
$54.6
hope this helps
Answer:
-90
Step-by-step explanation: