find the total amount in the compound interest amount.

$6350 is compounded semiannually at a rate of 18% for 16 yrs. (round to the nearest hundredth as needed)

Pt = Po(r + 1)^n.

r = ( APR / 2 ) / 100,
r = (18 / 2) / 100 = 0.09 = Semi-annual
rate expressed as a decimal.

n = 2 comp/yr * 16 yrs = 32 comp. periods.

Pt = Po(r + 1)^32,
Pt = 6350(1.o9)^32,
Pt = 6350 * 15.7633 = 100097.14 = total after 16 yrs.

Int. = Pt - Po = 100097.14 - 6350 = 93747.14.

To find the total amount in the compound interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:
A is the total amount
P is the principal (initial amount)
r is the annual interest rate (in decimal form)
n is the number of times the interest is compounded per year
t is the number of years

In this case:
P = $6350
r = 18% or 0.18 (in decimal form)
n = 2 (since the interest is compounded semiannually)
t = 16

Substituting these values into the formula:

A = 6350(1 + 0.18/2)^(2*16)

Now, let's calculate the value using a calculator:

A = 6350(1 + 0.09)^(32)
= 6350(1.09)^32
≈ $40,547.68

Therefore, the total amount, rounded to the nearest hundredth, is $40,547.68.