Answer:
(a) The future value after 9 years is $7142.49.
(b) The effective rate is
.
(c) The time to reach $13,000 is 21.88 years.
Step-by-step explanation:
The definition of Continuous Compounding is
If a deposit of
dollars is invested at a rate of interest
compounded continuously for
years, the compound amount is

(a) From the information given



Applying the above formula we get that

The future value after 9 years is $7142.49.
(b) The effective rate is given by

Therefore,

(c) To find the time to reach $13,000, we must solve the equation


Answer:
2 1/5 times 3 .18 = 6.875
Given:
The values of input and outputs are given
Output is increasing by 9 for the increase in x values.

9514 1404 393
Answer:
A. (1 2/3, 4 2/3)
Step-by-step explanation:
If you graph the equations, you see the lines intersect at the solution point:
(x, y) = (1 2/3, 4 2/3)
Answer: 17
Steps:
1. Plug in (3) into “x” of the g(x) equation:
g(3) = (3)^2 + 4
g(3) = 9 +4
g(3) = 13
2. Plug in g(3) value into “x” of the f(x) equation:
f(g(3)) = x + 4
f(g(3)) = 13 + 4
f(g(3)) = 17