Answer:
Step-by-step explanation:
The nth term of the given arithmetic sequence is
The first term of this series is:
The last term of this series is when
The sum of the first n terms of an arithmetic series when the first an last term is known is given by:
Where a=5 is the first term and l=27 is the last term.
-1 19/78 ...... all you have to do is go 1/6 steps up because its negative 1 1/3
So an exponential equation is gonna be used for this problem. The formula for such is
, in which the a variable is the initial value and the b variable is the growth/decay rate.
For this situation, 1200 is gonna be your a variable since you've started out with it. And as for your b variable, its gonna be 107.3%, or 1.073, since it's increasing.
Your equation should look like this:
and from here just plug in 10 into the x variable and solve.
Multiply (1.073)^10 (don't round answers until the end), and take that answer and multiply it with 1200, your answer should be $2427.61.
C, 51 because acute angles are less than 90° but together the angles create a right triangle which is 90°.
Answer:
Part A: chosen method is by factoring
Part B: First rewrite the equation by writing -24 as a difference so you get x² -9x - 15x + 135 = 0. Then factor out the x and the -15 from the equation so you get x(x-9) - 15(x-9) = 0. Then factor out x-9 from the equation so you have (x-9)(x-15) = 0. Finally, set each expression to 0: x-9=0 and x-15=0 and then solve: x=9 and x=15
Part C: x=9, x=15
