Answer:
A
Step-by-step explanation:
You can write an expression to represent the total cost of a pair of shoes. The price of the shoes is the variable r. The shoes are marked down 20% or 0.2r. So the new price of the shoes will be r - 0.2r. You will also have to pay a tax of 5% or 0.05 of the new price. This is written as 1.05(r - 0.2r). You can simplify it by doing whats in the parenthesis.
1.05(r - 0.2r) = 1.05r(0.8r) = 0.84r
The exponential formula for this situtation will be given by:
f(x)=ae^(-bx)
where:
a=initial price
b=rate
x=time in years
hence the formula will be:
f(x)=28750e^(-0.12x)
thus the value of the car in 2018 will be:
x=2018-2012=6 years
thus
f(6)=28750e^(-0.12*6)
f(6)=$13,994.13
Answer:
y = (7/8)x + 7
Step-by-step explanation:
"7 over 8 x" is incorrect; you meant "(7/8)x" (which is not the same as "7 over 8 x." Thus, your line is y = (7/8)x - 7. The slope of a parallel line is the same, or (7/8). Given that the line passes thru (8,0), we have enuf info with which to calculate the y-intercept. Write out: y = mx + b. Immediately replace m with (7/8), y with 0 and x with 8, obtaining: 0 = (7/8)(8) + b. Then b = 7, and the equation of this new, parallel, line is y = (7/8)x + 7.