The Answers is
g(x) = (x + 1)/(x - 2)
h(x) = 4 - x
g(h(x)) = (4 - x + 1)/(4 - x - 2) = (5 - x)/(2 - x)
g(h(-3)) = (5 - (-3))/(2 - (-3)) = (5 + 3)/(2 + 3) = 8/5
g(h(-3)) = 8/5.
Answer:
as a german, im pretty sure everyone knows what i'll say next
+3 to both sides and you get s = -7
1.609/5280 = 3.2/x....1.609 km to 5380 ft = 3.2 km to x ft
cross multiply because this is a proportion
(1.609)(x) = (5280)(3.2)
1.609x = 16896
x = 16896/1.609
x = 10,500 ft <===
She should invest $6491.73.
The equation we use to solve this is in the form

,
where A is the total amount in the account, p is the principal invested, r is the interest rate as a decimal, n is the number of times per year the interest is compounded, and t is the amount of time.
A in our problem is 14000.
p is unknown.
r is 6% = 6/100 = 0.06.
n is 2, since it is compounded semiannually.
t is 13.