MATHEMATICS HIGH SCHOOL

Comment connaître le sens de variation d’une suite avec un+1 - un

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:Pour déterminer le sens de variation d'une suite (un), on peut utiliser l'une des règles suivantes : a) On étudie le signe de la différence un+1 − un. ▶ Si un+1 − un est positive, alors la suite (un) est croissante. ▶ Si un+1 − un est négative, alors la suite (un) est décroissante.

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The value of a car depreciates by 18% per year. Work out the current value of a car bought 4 years ago for £20000

Answers

Given:
depreciation rate: 18%
Value of the car : 20,000
Age of the car : 4 years.

The depreciation is based on the current value of the car. Therefore, the amount of depreciation varies.

yr   Beginning Value   Dep. Rate    Depreciation      Ending Value
1   20,000.00                 18%             3,600.00          16,400.00
2   16,400.00                 18%             2,952.00          13,448.00
3   13,448.00                 18%             2,420.64          11,027.36
4   11,027.36                 18%             1,984.92            9,042.44

The current value of a car bought 4 years ago is 9,042.44

Beginning value : purchased amount on 1st year. then, ending balance of the previous year from 2nd year onwards.
Depreciation : Beginning value * depreciation rate
Ending value : Beginning value - depreciation
20000 = 100%18 x 4 = 72%20000 / 100 = 200200 = 1%200 x 72 = 14,40020000 - 14,400 = 5600The value of it now should be £5600

The sum of the squares of two consecutive positive even numbers is 340. Find the numbers.

Answers

12 and 14
12x12=144
14x14=196
196+144=340

the answer is 12 and 14 100%

3x^2-5/3x-1 - 2x^2-3x-2/3x-1

Answers

Answer:

3

x

2

−

16

x

−

6

/3

Step-by-step explanation:

If a student spent a total of $83 on tickets ,how many tickets did he buy.? using this funtion below "c=24.50t 9.50

Answers

83=24.50(x)+9.50
83.00-9.50=73.50=24.50x
73.50/24.50=x
x=3 tickets
Your welcome =)

Please help me this is due tonight

Answers

Answer:

  B = (2, -5)

Step-by-step explanation:

The problem requirements mean ...

  B - A = (2/3)(C - A)

  B = A + (2/3)C - A

  B = (1/3)A + (2/3)C = (A +2C)/3

  B = ((-6, 1) +2(6, -8))/3 = (-6+12, 1-16)/3 = (6, -15)/3

  B = (2, -5)

If f(x)=x*−81 and g(x)=(x−9)−1(x+9), find g(x)×f(x).

Answers

f(x) = x²-81

g(x) = (x-9) -1(x+9)

= (x-9) -x-9


g(x) • f(x)



= [x²-81 ] • [ (x-9) -x-9 ]

=[ x²-81 ] • [ (x-x -9-9) ]
= [ x²-81 ] •[0-18]
= [ x²-81] •[ -18]

= -18•x² +-81•-18
= -18x²+1458
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