Answer:
A1 / B1 ;
(D1 - A1) / B1 ;
(A1 - E1*A1) / B1
Step-by-step explanation:
A1 = original price of car
B1 = annual Depreciation amount
Number of years it will take for the car to depreciate totally :
Using the straight line Depreciation relation :
y = mx + c
c = intercept = initial or original value of car
m = annual Depreciation amount
x = number of years
y = value after x years
For total Depreciation, final value, y = 0
0 = mx + c
mx = - c
x = - c / m
Hence, x = A1 / B1
B.)
D1 = car value
Length it will take for car to depreciate to value in D1 :
y = mx + c
y = D1; m = B1 ; c = A1
D1 = B1x + A1
B1x = D1 - A1
x = (D1 - A1) / B1
C.)
E1 = decrease percentage
Time it takes for car to decrease by percentage in E1
y = E1 * A1
E1 * A1 = B1x + A1
(A1 - E1*A1) = B1x
x = (A1 - E1*A1) / B1
Answer:
C
Step-by-step explanation
This has a factor of 6% or 0.06. But, you are adding and not subtracting so it is 1.06. ( If you multiply by a number less than 1 then it is actually dividing) So C is the only on that is correct.
Answer:

The polynomial is an approximation with an error less than or equals to <em>0.002652</em> for x in the interval
[-1.113826815, 1.113826815]
Step-by-step explanation:
According to Taylor's theorem
with
for some c in the interval (-x, x)
In the particular case f
<em>f(x)=cos(x)
</em>
<em>
</em>
we have
therefore
and the polynomial approximation of T5(x) of cos(x) would be
In order to find all the values of x for which this approximation is within 0.002652 of the right answer, we notice that
for some c in (-x,x). So
and we must find the values of x for which
Working this inequality out, we find
Therefore the polynomial is an approximation with an error less than or equals to 0.002652 for x in the interval
[-1.113826815, 1.113826815]
Answer:
x = 3
Step-by-step explanation:
First, distribute 3 into the parenthesis:
3(4 - 2x) = -2x
12 - 6x = -2x
Next, combine your x variables by adding +6x to both side:
12 - 6x = -2x (-6x and +6x cancel out)
+6x +6x
12 = 4x (divide 12 by 4 to get x by itself)
/4 /4
x = 3