The general equation use to calculate increasing or decreasing values
P(t) = A(1 + r)^t
where:
P = New value
A = original or starting amount
r = rate (can be either increasing(+) or decreasing(-))
t = time period that increase/decrease take place.
So after 1 year at 3.8% interest
P = 7500(1 + 0.038)^1
P = 7500(1.038)
P = 7,785
Then after 1 year at 5.35 interest
P = 7500(1 + 0.053)^1
P = 7500(1.054)
P = 7,897.50
Answer:
3
Step-by-step explanation:

Answer: -1.5 <= x < 1
Solution
The domain of the function is the values that the valriable x can take. According with the graph the variable x can take values between -1.5 (including because of the black point) and 1 (excluding because of the white point), then:
-1.5 <= x < 1
Answer:
See explanations below
Step-by-step explanation:
Given the functions
f(x) = 12x - 12
g(x) = x/12 - 1
To show they are inverses, we, must show that f(g(x)) = g(f(x))
f(g(x)) = f(x/12 - 1)
Replace x with x/12 - 1 into f(x)
f(g(x)) =12((x-12)/12) - 11
f(g(x)) = x-1 - 1
f(g(x)) =x - 2
Similarly for g(f(x))
g(f(x)) = g(12x-12)
g(f(x)) =(12x-12)/12 - 1
12(x-1)/12 - 1
x-1 - 1
x - 2
Since f(g(x)) = g(f(x)) = x -2, hence they are inverses of each other
#1) 3/5; 3/5; 2/5; 3/5. There are 3 the same (3/5).
#2) A) 5/11; the drawing is attached.
B) 2/10; the drawing is attached.
Explanation#1) The first figure has 3 blocks shaded out of 5 total blocks. The second figure has 3 blocks shaded out of 5 total blocks. The third figure has 2 blocks shaded out of 5 total blocks. The fourth figure has 3 blocks shaded out of 5 total blocks.
#2) A) There are 5 blocks shaded out of 11 total blocks. The drawing has 5 different blocks shaded out of 11.
B) There are 2 blocks shaded out of 10 total blocks. The drawing has 2 different blocks shaded out of 10.