Questions in mathematics

Questions in mathematics

[Free] How much would you have to deposit in an account with a $4.75 \%$ interest rate, compounded continuously, to have $ \$ 20,000$ in your account 20 years later? $P=\$[?]$ Round to the nearest cent.

[Free] 4a²x⁴ ≥ x² × √(1 - 16r² + 4)

[Free] The rational number representation of -0.0675 is: (A) [tex]-\frac{5}{8}[/tex] (B) [tex]-\frac{13}{20}[/tex] (C) [tex]-\frac{3}{5}[/tex] (D) 4 The integer closest to [tex]\frac{59}{20}[/tex] is: 1 2 3 4

[Free] (1/5)^2 ÷ _ = (1/5)^(-2)

[Free] Prove that: [tex]$\sin 20^{\circ} \cdot \sin 30^{\circ} \cdot \sin 40^{\circ} \cdot \sin 80^{\circ}=\frac{\sqrt{3}}{16}$[/tex].

[Free] The domain of the piecewise function is $(-\infty, \infty)$. a. Graph the function. b. Use your graph to determine the function's range. [tex]f(x)=\left\{\begin{array}{lll} x+2 & \text { if } & x\ \textless \ 1 \ x-2 & \text { if } & x \geq 1 \end{array}\right.[/tex] a. Choose the correct graph below. A. B. C. D.

[Free] Line $JK$ passes through points $J(-4,-5)$ and $K(-6,3)$. If the equation of the line is written in slope-intercept form, $y=mx+b$, what is the value of $b$?

[Free] Which is equivalent to [tex]$\sqrt[3]{8}^{\frac{1}{4} x}$[/tex] ? A. [tex]$8^{\frac{3}{4} x}$[/tex] B. [tex]$\sqrt[7]{8}^x$[/tex] C. [tex]$\sqrt[12]{8}^x$[/tex] D. [tex]$8^{\frac{3}{4 x}}$[/tex]

[Free] What is $\log _{15} 2^3$ rewritten using the power property? A. $\log _{15} 5$ B. $\log _{15} 6$ C. $2 \log _{15} 3$ D. $3 \log _{15} 2$

[Free] Which equation demonstrates the additive identity property? (7+4 i)+0=7+4 i (7+4 i)(1)=7+4 i (7+4 i)+(7-4 i)=14 (7+4 i)+(-7-4 i)=0