Answer: a) , where 'A' is the value of car after 't' years.
b) $12446.784
Step-by-step explanation:
Given: A new car that sells for $21,000 depreciates (decreases in value) 16% each year.
Then a function that models the value of the car will be
, where 'P' is the selling price of car, 'r' is the rate of depreciation in decimal, 't' is the time in years and 'A' is the value of car after 't' years.
Thus after substituting given value, the function becomes
To find the value after 3 years, substitute t=3 in the above function.
Hence the value of car after 3 years=$12446.784
It looks like the differential equation is
Multiply both sides by 1/(<em>x</em> + 1) :
The left side is now a derivative of a product,
Integrate both sides with respect to <em>x</em> :
Solve for <em>y</em> :
Answer: 95.55%
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Work Shown:
A = event that copier A breaks down
B = event that copier B breaks down
P(A) = probability that copier A breaks down
P(A) = 2% = 0.02
P(B) = probability that copier B breaks down
P(B) = 2.5% = 0.025
P(neither break down) = (1-P(A))*(1-P(B))
P(neither break down) = (1-0.02)*(1-0.025)
P(neither break down) = 0.9555
P(neither break down) = 95.55%
It is b Latasha charges 10 dollars before she begins to work
We can write a proportion between short and long legs:
Solving for k yields
