Questions in mathematics

Questions in mathematics

📝 Answered - $3 x^3-9 a x^2-x+3 a$

📝 Answered - (1) There are 10 beads in a bag: 5 black beads, 3 white beads, and the rest are red. A bead is picked at random. Find the probability that it will be: a) White b) Black or red c) Not white d) Not blue

📝 Answered - Calculate the percentage of the given quantity. [tex]$20 \% \text { of } 38 m^2$[/tex]

📝 Answered - Work out these sums in your notebook: $6 \overline{)49}$ $8 \overline{)58}$ $9 \overline{)83}$ $10 \overline{)3}$ $9 \overline{)74}$ $8 \overline{)66}$ $8 \overline{)75}$ $4 \overline{)33}$ $9 \overline{)89}$ $7 \overline{)54}$

📝 Answered - If $101_{\text {two }}+12 y=23_{\text {five}}$, find the value of $y$.

📝 Answered - Use the compound interest formulas [tex]$A = P \left(1+\frac{ r }{ n }\right)^{ nt }$[/tex] and [tex]$A = P e^{r t }$[/tex] to solve the problem given. Round answers to the nearest cent. Find the accumulated value of an investment of $20,000 for 6 years at an interest rate of 6.5% if the money is a. compounded semiannually, b. compounded quarterly; c. compounded continuously. a. What is the accumulated value if the money is compounded semiannually? $ 29356.94 b. What is the accumulated value if the money is compounded quarterly? $ 29447.16 c. What is the accumulated value if the money is compounded monthly? $

📝 Answered - Odd-degree polynomials have at least one x-intercept. True False

📝 Answered - Evaluate the limit. [tex] \lim _{x \rightarrow \infty} \frac{4 \sin x}{x}=[?][/tex]

📝 Answered - What is $5.212 \times 10^{-8}$ written in standard form? A. 0.0000005212 B. 0.00000005212 C. 5,212,000,000 D. 0.000000005212

📝 Answered - Use the savings plan formula to answer the following question. A friend has an IRA with an APR of [tex]$7.25 \%$[/tex]. She started the IRA at age 23 and deposits [tex]$35[/tex] per month. How much will her IRA contain when she retires at age 65? Compare that amount to the total deposits made over the time period. To calculate how much money the IRA will contain after retirement, use the formula shown below, where PMT is the regular payment (deposit) amount, APR is the annual percentage rate (as a decimal), [tex]$n$[/tex] is the number of payment periods per year, and [tex]$Y$[/tex] is the number of years money is saved. [tex]$A=P M T \times \frac{\left[\left(1+\frac{A P R}{n}\right)^{(n Y)}-1\right]}{\left(\frac{A P R}{n}\right)}$[/tex]