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


4/9 + (x-1) = 28/9 - (x-7x) + 1
4/9 + x - 1 = 28/9 - x + 7x + 1
-5/9 + x = 37/9 + 6x
-5x = 42/9
-5x = 4.6 (repeating 6)
x = -0.93 (repeating 3)
Hope this helps! ;)
Answer:
<h2> StartFraction 7 over 10 EndFraction x + 2 and one-half y + 6</h2>
Step-by-step explanation:
Given the expression 
To simplify the expression, we need to first collect the like terms of the functions in parentheses as shown;

Then we find the LCM of the resulting function

The final expression gives the required answer