Answer:
771.18
Step-by-step explanation:
The Amount given is 943
13% of amount will be = 943 x 13%
=
Decreasing 13% from 943 we get = 943-122.59
=820.41
Now the ammount = 820.41
for finding the final amount
find 6% of amount (820.41) we get = 820.41x 6%
=
Decreasing 6% from 820.41 we get final amount= 820.41- 49.23
=771.18
so the final amount is 771.18
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1) given function
y = - 2 ^ ( -x + 2) + 1
2) domain: domain is the set of the x-values for which the function is defined.
The exponential function is defined for all the real numbers, so the domain of the given function is all the real numbers.
3) x-intercept => y = 0
=> y = - 2 ^ ( -x + 2) + 1 = 0 => 2^ ( -x + 2) = 1
=> - x + 2 = 0 => x = 2
The x-intercept is x = 0
4) y-intercept => x = 0
=> y = - 2 ^ ( -x + 2) + 1= - 2 ^ ( 0 + 2) 1 = - (2)^(2) + 1 =- 4 + 1 = - 3
=> The y-intercept is - 3
5) limit when x -> negative infinite
Lim f(x) when x -> ∞ = - ∞
6) limit when x -> infinite
Lim f(x) when x - > infinite = 1
=> asymptote = y = 1
7) range is the set of values of the fucntion: y
Given that the function is strictly decreasing from -∞ to ∞, the range is from - ∞ to less than 1
Range (-∞,1)
Answer:
y = (-5/2)x + 27
Step-by-step explanation:
Use the point slope formula y = mx + b.
Replace m with -5/2, x with -8 and y with 7:
7 = (-5/2)(8) + b. Find the y-intercept, b:
7 = -20 = b, or b = 27
The equation of this line is y = (-5/2)x + 27.