Answer:
x=0.9
Step-by-step explanation:
1.convert to improper fractions
4x+9/7/3=3x/0.5
2.Apply fraction cross multiply
(4x+9) * 0.5=7/3 * 3x
3. simplify
(4x+9) *0.5 =7x
4.Expand
2x+4.5=7x
5.Subtract 4.5 from both sides
2x=7x-4.5
6.Subtract 7x from both sides
2x-7=7x-4.5-7x
7.Simplify
-5x=-4.5
7.Divide by -5
x=0.9
Answer: the value of the car in 2019 is $5269
Step-by-step explanation:
It loses 12% of its value every year. This means that the value of the car is decaying exponentially. We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the car after t years.
t represents the number of years.
P represents the initial value of the car.
r represents rate of decay.
From the information given,
P = $21500
r = 12% = 12/100 = 0.12
t = 2019 - 2008 = 11 years
Therefore
A = 21500(1 - 0.12)^11
A = 21500(0.88)^11
A = 5269
Perimeter = 2base + 2base
82 - 2(32) = 18 : 2 = 9
area = 9*32 = 288mm^2
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