Answer:
-22
Step-by-step explanation:
9-31=-22
Since the sequence is geometric, there is some constant
such that the sequence is recursively given by
By this definition, you can recursively substitute into the right hand side the definition for
to find an explicit formula for the
th term.
You know the second term, which means you can find
:
So, the 7th term of the sequence is
Answer:
B. $715.21
Step-by-step explanation:
Apparently, Margaret makes her first payment after she has incurred a finance charge on the amount.
At the end of the first month, the balance due is ...
... 692.77×(1 + 0.217/12) = 705.30
At the end of the second month, the balance due is ...
... (705.30 -290)×(1 +0.217/12) = 422.81
At the end of the third month, the balance due is ...
... (422.81 -290)×(1 +0.217/12) = 132.81
Margaret makes total payments of $290×2 +132.81 = $712.81
Of the choices listed, the best selection is ...
... B. $715.21
_____
<em>Comment on the answer choice</em>
The total $715.21 seems to also include a finance charge on the final payment amount. (It actually includes a charge on $132.72, which is slightly different from the final payment amount.) There will not be any such charge, so the <em>available answer choices are all in error</em>.
Actually, we expect the total cost to be closer to $702.25, because we expect that Margaret will make her first payment before any finance charges are incurred.
_____
You should ask your teacher to show you in detail how to work this problem.
Answer:
1. this is the definition of a midpoint - bc the definition of a midpoint is: “If a point is a midpoint of a segment, then it divides that segment into two congruent parts” or “If a point divides a segment into two congruent parts, then it's the midpoint of that segment.”
2. this is the division property of equality -"The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal". so, in this situation we want to isolate x which means dividing both sides by 20. This will keep both sides equal just more simplified ( before, it was 20 and 100, after dividing both sides by 20 it is 1 and 5 which is the same ratio therefore they are still equal)
3. this one's the subtraction property of equality- this property means you can subtract the same number from both sides of an equation and get an equivalent equation. in this situation, they subtracted 15 from both sides to get AB = 30 and it ends being still being equal to AB + 15= 45.
4. this is the symmetric property of equality - "This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement." "it states that values are still equal no matter which side of the equal sign they're on." That's why its possible for XY=ST and ST=XY
5. this is definition of congruence - which basically states that if a value of one thing is equal to the value of another thing those two things can be called congruent.
6. this is substitution property- this is the property that allows you to substitute one value for another in an equation. the property states that if
x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation, just like what they show here with 5AB substituting for CD in the equation.
i hope this helped! im not that good at explaining so if u have more questions lmk!
