The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $500
i = 0.05 x $500

No payments were made so the total amount due is the original amount + the accumulated interest:

The equation for this sequence is:

a_n = a_n-1 + 3(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 3(6 - 1)
a₆ = 31 + 3(5)
a₆ = 46

A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

7,365,000 in scientific notation is 7.365 x 10⁶

To add these radicals together their radicands must be the same:

4\( \sqrt{63} \) + 3\( \sqrt{7} \)
4\( \sqrt{9 \times 7} \) + 3\( \sqrt{7} \)
4\( \sqrt{3^2 \times 7} \) + 3\( \sqrt{7} \)
(4)(3)\( \sqrt{7} \) + 3\( \sqrt{7} \)
12\( \sqrt{7} \) + 3\( \sqrt{7} \)

Now that the radicands are identical, you can add them together:

1