Define
v = value after t years.

Therefore the linear model is
v = mt + c
where
m = depreciation rate
t = years since purchase
c = constant

When t=0, v = 20,000, therefore
20000 = m(0) + c
c = 20000

When t=10, v = 2000, therefore
2000 = 10m + 20000
-18000 = 10m
m = -1800

Answer:
The linear model is
v = -1800t + 20000

5 0

3 years ago

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For the sequence a n =a n−1 +a n−2 and a 1 =2,a 2 =3 its first term is its second term is its third term is its fourth

taurus [48]

A function assigns the value of each element of one set to the other specific element of another set. The third, fourth, and fifth terms of the sequence are 5, 8, and 13 respectively

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the nth term of the sequence is given by the formula,

$a_n = a_{(n-1)}+a_{(n-2)}$

Also, the first term and the second term of the sequence are 2 and 3 respectively, therefore, the other terms of the sequence are,

$a_3 = a_{(3-1)}+a_{(3-2)}\\\\a_3 = a_2 + a_1\\\\a_3 = 3 + 2\\\\a_3 = 5$

$a_4 = a_{(4-1)}+a_{(4-2)}\\\\a_4 = a_3 + a_2\\\\a_4 = 5 + 3\\\\a_4 = 8$

$a_5 = a_{(5-1)}+a_{(5-2)}\\\\a_5 = a_4 + a_3\\\\a_5 = 8 + 5\\\\a_5 = 13$

Hence, the third, fourth, and fifth terms of the sequence are 5, 8, and 13 respectively.

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5 0

2 years ago

|2x-5|<1<br><br> i need help pleaseeeeee

Fofino [41]

Answer:

x < 3 or x < 2

Step-by-step explanation:

|2x-5|<1

Using compound Inequality

(2x - 5) <± 1

Hence,

a) 2x - 5 < -1

2x < -1 + 5

2x < 4

x < 4/2

x < 2

b) 2x - 5 < +1

2x < 1 + 5

2x < 6

x < 6/2

x < 3

Therefore, x < 3 or x < 2

7 0

3 years ago