Answer:

Step-by-step explanation:
The nth term of an arithmetic sequence is given by the formula,

We were given that the 9th term is
.





The sum of the first n-terms is given by the formula,

To find
, we substitute
,
and
.





The correct answer is D
Answer:
in 13.95 years the senior class will have 100 students.
Step-by-step explanation:
P(h) = p(0.92)^t (equation for exponential change)
P(h) - population of highschool (or senior class) = 100
p - staring amount = 320
t = time in years
100 = 320(0.92)^t
1/3.2 = .92^t (divide both sides by 320)
log(1/3.2, .92) = t (log base 0.92 of 1/3.2 equals t)
13.9497 = t
Answer:
<h3>The value C(t) of the car after 5 years is $12709.</h3>
Step-by-step explanation:
Given that Landon bought a new car for $16,000 and it depreciates 4.5% every year.
<h3>To find the value C(t) of the car after 5 years:</h3>
Initial value 
Depreciation rate is 
<h3>∴ r=0.045</h3>
Period , t=5 years

Substitute the values we get



∴ 
<h3>The value C(t) of the car after 5 years is $
12709</h3>
9514 1404 393
Answer:
(c) Not parallel: corresponding angles are not congruent
Step-by-step explanation:
The two angles shows are both "east" of the respective points of intersection, so are "corresponding" angles. If (and only if) lines r and s are parallel, corresponding angles are congruent. These angles have different measures, so lines r and s are not parallel.
Answer:
The donut shop is what is being personified, its not actually calling to him. It is given the human trait of calling or talking.
6. The night.
It is giving it a sort of motion personification, being that the night can make noise, but in this case is being quiet.
7. Diamonds being personified as a friend.
The human triat is being a friend or friendly.