Daily Math · 2026-06-12

Question 1

A deposit of $\$2{,}000$ earns annual compound interest at $5\%$. The balance after $2$ years is:

Accepted Answer

$A = 2000 \cdot 1.05^2 = 2000 \cdot 1.1025 = \$2{,}205$.

Answer

$\$2{,}100$

Answer

$\$2{,}200$

Answer

$\$2{,}205$

Answer

$\$2{,}500$

Question 2

The range of $\{12, 7, 22, 9, 18, 4\}$ is:

Accepted Answer

Max $= 22$, min $= 4$, so range $= 22 - 4 = 18$.

Answer

$4$

Answer

$9$

Answer

$18$

Answer

$22$

Question 3

The maximum value of $f(x) = \sin x + \sqrt{3}\cos x$ is:

Accepted Answer

$R = \sqrt{1 + 3} = 2$, so $f(x) = 2\sin(x + \pi/3)$. Max value: $2$.

Answer

$1 + \sqrt{3}$

Answer

$2$

Answer

$\sqrt{3}$

Answer

$4$

Problems & worked solutions