Answer: $2105.26
Step-by-step explanation:
<u>Concept:</u>
The formula to find simple interest is I=Prt
<u>Given:</u>
t=5 year
r=4.75%
I=$500
<u>Solve:</u>
I=Prt
500=P(4.75%)(5)
100=P(4.75%)
<h2>P=$2105.26</h2>
Answer:
4th choice 
Step-by-step explanation:
<u>Definition of the inverse of a function</u>
A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x. The domain of f becomes the range of g and the range of f becomes the domain of g
To solve for the inverse of the function 
Let 


Switch sides

Take square roots on both sides

Add 4 on both sides to solve for y

We have two solutions

To determine which one of these to be chosen not that in the given choices we can eliminate the first two since x cannot be negative
The third choice can also be eliminated since
is a decreasing function for
So the last answer choice is correct and the inverse of
is given by 
Answer:4th choice 
Note
Domain of (x-4)² is [4, ∞) since x ≥ 4 and (x-4)² cannot be negative
Range of (x-4)² is [0, ∞)
Domain of
is [0, ∞)
Range of
is [4, ∞)
so indeed the domain of (x-4)² has become the range of
and the range of (x-4)² has become the domain of 
Answer:
0.9
Step-by-step explanation:
0.7*(1.5 + y) = 3.5y - 1.47
or, (0.7*1.5) + 0.7y = 3.5y - 1.47
or, 1.05 + 1.47 = 3.5y - 0.7y
or, 2.52 = 2.8y
or, y = 2.52/2.8
or, y = 0.9
Hope this will help. Please mark me brainliest.