Daily Math · 2026-05-04

Question 1

You deposit \$1,000 in an account paying 5% annual interest, compounded yearly. How much is in the account after 3 years?

Accepted Answer

Compound interest: $A = P(1 + r)^t = 1000 \cdot (1.05)^3 = 1000 \cdot 1.157625 = \$1{,}157.63$.

Note how each year's interest is calculated on the previous year's balance, not the original principal — that's why compounding beats simple interest by ~\$7.63 over three years here.

Answer

\$1,150.00

Answer

\$1,157.63

Answer

\$1,500.00

Answer

\$1,050.00

Question 2

What is the value of $\log_2 32 - \log_2 4$?

Accepted Answer

Using the quotient rule: $\log_2 32 - \log_2 4 = \log_2 \dfrac{32}{4} = \log_2 8 = 3$ (since $2^3 = 8$).

Alternatively, evaluate each term: $\log_2 32 = 5$, $\log_2 4 = 2$, so $5 - 2 = 3$.

Answer

$3$

Answer

$8$

Answer

$28$

Answer

$\log_2 28$

Question 3

Find the sum of the roots of $x^2 - 7x + 12 = 0$.

Accepted Answer

By Vieta's formulas, for $x^2 + bx + c = 0$ the sum of the roots is $-b$. Here $b = -7$, so the sum is $7$.

Verification by factoring: $x^2 - 7x + 12 = (x - 3)(x - 4)$, so the roots are $3$ and $4$, summing to $7$.

Answer

$3$

Answer

$4$

Answer

$7$

Answer

$12$

Problems & worked solutions

Problem 1 — Compound Interest

Problem 2 — Logarithms

Problem 3 — Quadratic Equations