Questions in mathematics

Questions in mathematics

📝 Answered - Use the compound interest formulas [tex]$A = P \left(1+\frac{ r }{ n }\right)^{ nt }$[/tex] and [tex]$A = P e^{ rt }$[/tex] to solve the problem given. Round answers to the nearest cent. Find the accumulated value of an investment of [tex]$20,000$[/tex] for 6 years at an interest rate of [tex]$6.5 \%$[/tex] if the money is a. compounded semiannually; b. compounded continuously. a. What is the accumulated value if the money is compounded semiannually? [tex]$ \square$[/tex] (Round your answer to the nearest cent. Do not include the [tex]$ \$$[/tex] symbol in your answer.)

📝 Answered - Let $f(x)=3 x-1$ and $g(x)=2-x$. Find the following. (a) $(f+g)(x)$ (b) $(f-g)(x)$ (c) $(f \cdot g)(x)$ (d) $\frac{f}{g}$ (e) The domain of $\frac{f}{g}$

📝 Answered - Find the midpoint between [tex] \begin{array}{c} 8+11 i \ \text { and } \ -4-7 i \ {[?]+\square i} \end{array} [/tex]

📝 Answered - There are 5 brown horses and 4 tan horses in a barn. Sonia will randomly select two horses to ride with her friend. What is the probability that the first horse selected is tan and the second horse selected is brown? [tex]$\frac{2}{9}$[/tex] [tex]$\frac{5}{18}$[/tex] [tex]$\frac{20}{81}$[/tex] [tex]$\frac{1}{20}$[/tex]

📝 Answered - Consider the quadratic equation $4 x^2-11 x-3=0$. Which of the following shows this equation rewritten and ready to solve using factoring by grouping? A) $4 x^2-6 x-5 x-3=0$ B) $4 x^2-12 x+x-3=0$ C) $4 x^2+12 x-x-3=0$ D) $4 x^2-9 x-2 x-3=0$

📝 Answered - Convert $\frac{2 \pi}{3}$ radians to degrees.

📝 Answered - What is the simplified form of the following expression? [tex]$\sqrt[3]{\frac{4 x}{5}}$[/tex] A. [tex]$\frac{\sqrt[3]{4 x}}{5}$[/tex] B. [tex]$\frac{\sqrt[3]{20 x}}{5}$[/tex] C. [tex]$\frac{\sqrt[3]{100 x}}{5}$[/tex] D. [tex]$\frac{\sqrt{100 x}}{125}$[/tex]

📝 Answered - $\int 6 x e^{2 x} d x = \square +C

📝 Answered - 在横线上填写每一步的运算依据： $\begin{aligned} & 22+(-8)+(-2)+4 \\ = & 22+4+(-8)+(-2) \\ = & (22+4)+[(-8)+(-2)] . = & 26+(-10) \\ = & 16 . \end{aligned}$

📝 Answered - What is the range of [tex]f(x)=\sin (x)[/tex]? A. the set of all real numbers [tex]-2 \pi \leq y \leq 2 \pi[/tex] B. the set of all real numbers [tex]-1 \leq y \leq 1[/tex] C. the set of all real numbers [tex]0 \leq y \leq 2 \pi[/tex] D. the set of all real numbers