Suppose you purchase a car for $24,500, and it depreciates at the rate of $1500 a year. express the car's value after five years as a term in an arithmetic sequence.

The arithmetic sequence is

24,500,23,000, 21,500,20,000,18,500,17,000

The car's value after five years is $17,000

Step-by-step explanation:

Let

n > the number of years

a(n) > the car's value

we know that

The arithmetic sequence that represent this situation is

a(n)=-1,500n+24,500

where

-1,500 is the common difference

so

For n=0 (initial value)

a(0)=-1,500(0)+24,500=24,500

For n=1 (First year)

a(1)=-1,500(1)+24,500=23,000

For n=2 (Second year)

a(2)=-1,500(2)+24,500=21.500

For n=3 (Third year)

a(3)=-1,500(3)+24,500=20,000

For n=4 (Fourth year)

a(4)=-1,500(4)+24,500=18,500

For n=5 (Fifth year)

a(5)=-1,500(5)+24,500=17,000

The arithmetic sequence is

24,500,23,000, 21,500,20,000,18,500,17,000

points are handed out whenever you post answers.

brainliest answers are handed out by the person asking the question, so whether your answer is picked depends entirely on whether the asker bothers to pick

if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.