Answer: C(t) = 28000(0.811)^t
Step-by-step explanation:
it begins to depreciate at a rate of 18.9% annually. This means that the rate at which the value is decreasing is exponential. We would apply the formula for exponential growth which is expressed as
y = b(1 - r)^ t
Where
y represents the value of the car after t years.
t represents the number of years.
b represents the initial value of the car.
r represents rate of depreciation.
From the information given,
P = 28000
r = 18.9% = 18.9/100 = 0.189
Therefore
y = 28000(1 - 0.189)^t
y = 28000(0.811)^t
Where C(t) represents y, the function becomes
C(t) = 28000(0.811)^t
For b), the answer is 3^2 / 2^7
you just have to multiply the exponent of 2 with 2 and add it with 3
for c), the answer is -(3)^3
notice that the negative sign is outside the parenthesis
for d), the answer is 1
you just multiply -n with 3 and all the exponents since they all have the same base
for e), the answer is 2a^2 b
just distribute the exponent 2 to all the bases and cancel out the things that can be cancelled or just subtract exponents of the same bases if the operation is division
for f), the answer is b^4 / 2b^4
focus first on the things inside the parenthesis, then take not of the -1 exponent after
Answer: The y intercept is -7 or (0,-7)
Step-by-step explanation:
First convert the equation into slope intercept form .
y - 3 = -2(x + 5) Multiply on the right side
y -3 = -2x - 10 Add 3 to both sides
+3 +3
y = -2x - 7
In this case the y intercept is -7 and it is when x is zero.