(a) If $1000 is invested at 4% interest, find the value of the investment at the end of 9 years if the interest is compounded as follows. (Round your answers to the nearest cent.) (i) annually $ (ii) semiannually $ (iii) monthly $ (iv) weekly $ (v) daily $ (vi) continuously $ (b) If A(t) is the amount of the investment at time t for the case of continuous compounding, write a differential equation satisfied by A(t). dA/dt = Find the initial condition satisfied by A(t). A(0) =

step-by-step explanation:

subtract 7, so the answer is x < = 3, or c.

r and t.

both are 64 degrees.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for