How much would $4,800.00 compounded daily at 1.7% be after 6months?

Pt = Po(1+r)^n.

r = (1.7%/360) / 100% = 0.0000472 = Daily % rate expressed as a decimal.

n = 1 comp./day * 180 days = 180 comp.
periods.

Pt = 4800(1.0000472)^180 = $4840.41.

To calculate the compound interest on an investment, we can use the formula:

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

Where:
A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial amount you start with)
r = the annual interest rate (in decimal form)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for

In this case, the principal investment amount (P) is $4,800, the annual interest rate (r) is 1.7%, and the investment is compounded daily, so n is 365 (the number of days in a year).

To calculate the time in years, we can convert 6 months to half a year.

t = 6 months / 12 months per year = 0.5 years

Now we can substitute the values into the formula and calculate the future value (A):

A = 4800(1 + 0.017/365)^(365*0.5)

Let's calculate it step by step:

1 + 0.017/365 = 1.00004658 (rounded to eight decimal places)

(365 * 0.5) = 182.5

A = 4800 * (1.00004658)^182.5

Using a calculator, we find that (1.00004658)^182.5 is approximately equal to 1.032972314.

Now we can calculate the final amount:

A = 4800 * 1.032972314

A ≈ $4,965.53

Therefore, after 6 months, an investment of $4,800.00, compounded daily at a 1.7% annual interest rate, would be approximately $4,965.53.