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
Solve the system
<span>y = x + 4
y = 3x + 6
Note that both equations have been solved for y. Thus, you can set y = y, or
x+4=3x+6. Simplifying, -2 = 2x, or x = -1.
Another way to look at this would be x + 4 = 3x + 6.</span>
Answer:
1) f(x) = x/8 - 7
2) f(x) = 1 - x/3
3) f(x) = 20 - 0.25x
4) f(x) = x + 7
Step-by-step explanation:
f^-1 = 8(x + 7)
x + 7 = y/8
x = y/8 - 7
f(x) = x/8 - 7
f^-1 = -3(x - 1)
y/-3 = x - 1
x = 1 - y/3
f(x) = 1 - x/3
f^-1 = 4(20 - x)
y/4 = 20 - x
x = 20 - y/4
f(x) = 20 - x/4
f(x) = 20 - 0.25x
f^-1 = x - 7
y = x - 7
x = y + 7
f(x) = x + 7
Answer:
P = 4w + 8
Step-by-step explanation:
<em>Jose is creating a map in the shape of a rectangle whose length is 4 inches longer than its width. Let w stand for the width of the map in inches. Write an equation gives the perimeter of the map in terms of w?</em>
Perimeter of the rectangle = 2(L +w)
L is the length of the rectangle
w is the width
If the length is 4 inches longer than its width, then;
l = w + 4
Substitute into the expression;
P = 2 (L+w)
P = 2(w+4+w)
P = 2 (2w+4)
P = 4w + 8
Hence the perimeter of the map in terms of w is P = 4w + 8
