Solution:
Given:
The value of a car after t - years will depreciate.
Hence, the equation given represents the value after depreciation over t-years.
To get the rate, we compare the equation with the depreciation formula.
Hence,
Therefore, the value of this car is decreasing at a rate of 6%. The purchase price of the car was $16,300.
2x-7=43
2x=50
x=25
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Answer:
34
Step-by-step explanation:
$1.25 = 125 cents.
$42 = 4200 cents
Tickets sold at 75 cents = x
Tickets sold at 125 cents = y
x + y = 40
75x + 125y = 4200
Multiply the first equation by 75
75x + 75y = 3000
75x + 125y = 4200
Subtract the the second equation from the first.
75x + 75y = 3000
- 75x + 125y = 4200
-------------------------------
0 - 150y = - 1200
Divide both sides by - 150
-150y/-150 = -1200/-150
y = 8
Substitute y = 8 into the first equation
x + y = 42
x + 8 = 42
x = 42 - 8
x = 34
34 tickets were sold for 75 cents
8 tickets were sold for $1.25
First, write the rate as a decimal by moving the decimal point two places to the left from the percent.
r = 5% = 0.05
C = p + rp
C = 30.99 + 0.05 * 30.99
C = 30.99 + 1.55
C = 32.54
Answer: The total cost is $32.54
