47 divided by 6 is 7 with a remainder of 5.

57 divided by 5 is 11 with a remainder of 2.

15 divided by 4 gives a remainder of 3, so 15 mod 4 = 3.

Simple Interest = 2500 * 0.06 * 4 = $600.

√(2) * √(8) = √(16) = 4, but simplified is 2√(2).

√(a^2) * √(b^2) = ab.

The sum is 10(10 + 1)/2 = 55.

The sum is 1 + 2 + 3 + 4 + 5 = 15.

The sum is 1 + 2 + 3 + 4 + 5 = 15.

The sum of the roots is given by -b/a = 5/1 = 5.

The sum of the roots is given by -b/a = 6/1 = 6.

The sum of the roots is given by -b/a = 7/1 = 7.

Surface Area = 4πr² = 4π * 3² = 36π cm².

The bar graph indicates total expenditures of $6000 for the year.

The total units sold are 2000 when adding all products together.

Products A and B combined represent 70% of total sales in the pie chart.

Products C and D combined account for 60% of total sales.

Total sales in Q4 = 100 + 150 + 200 + 50 = 500.

The total sales of Product A in Q1 is $1000 and Product B is $2000. Therefore, combined sales = $1000 + $2000 = $3000.

The sales of Product A in Q1 is 800 and in Q2 is 1200. Therefore, total sales = 800 + 1200 = 2000.

Using the property (a^m)^n = a^(m*n), we have (3^(2))^(3) = 3^(2*3) = 3^(6).

√(2) * √(8) = √(16) = 4.

(√(2) + √(3))^2 = 2 + 3 + 2√(6) = 5 + 2√(6).

(√(3) + √(2))^2 = 3 + 2 + 2√(6) = 5 + 2√(6).

Calculating gives 10 - 3(3) = 10 - 9 = 1.

10 divided by 3 gives a remainder of 1.

12 divided by 5 is 2 with a remainder of 2.

2x = 2 * 4 = 8.

2^3 = 8 and 3^2 = 9, so 8 + 9 = 17.

3^2 = 9 and 4^2 = 16, so 9 + 16 = 25.