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Questions in mathematics

[Free] Point P partitions the directed line segment from A to B into the ratio $3:4$. Will P be closer to A or B? Why? A. P will be closer to A because it will be $\frac{3}{7}$ the distance from A to B. B. P will be closer to A because it will be $\frac{4}{7}$ the distance from A to B. C. P will be closer to B because it will be $\frac{3}{7}$ the distance from B to A. D. P will be closer to B because it will be $\frac{4}{7}$ the distance from B to A

[Free] Credit card A has an APR of [tex]$27.2 \%$[/tex] and an annual fee of [tex]$96[/tex], while credit card B has an APR of [tex]$30.3 \%$[/tex] and no annual fee. All else being equal, which of these equations can be used to solve for the principal [tex]$P$[/tex] for which the cards offer the same deal over the course of a year? (Assume all interest is compounded monthly.) A. [tex]$P\left(1+\frac{0.272}{12}\right)^{12}+\frac{\$ 96}{12}=P\left(1+\frac{0.303}{12}\right)^{12}$[/tex] B. [tex]$P\left(1+\frac{0.272}{12}\right)^{12}-\frac{\$ 96}{12}=P\left(1+\frac{0.303}{12}\right)^{12}$[/tex] C. [tex]$P\left(1+\frac{0.272}{12}\right)^{12}+\$ 96=P\left(1+\frac{0.303}{12}\right)^{12}$[/tex] D. [tex]$P\left(1+\frac{0.272}{12}\right)^{12}-\$ 96=P\left(1+\frac{0.303}{12}\right)^{12}$[/tex]

[Free] What is the following quotient? $\frac{5}{\sqrt{11}-\sqrt{3}}$

[Free] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Free] 3. Find the value of the following: i. (-600) x 49 + (-600) ii. (-1100) x 65 + (-1100) x 5

[Free] 19. [tex]4 \tan(4x) - 4 \tan(3x) - \tan(2x) = \tan(2x) \tan(3x) \tan(4x)[/tex] 20. [tex]\cos(2^x) - 2 \tan^2(2^{x-1}) + 2 = 0[/tex]

[Free] The polynomial x^4 + 6x^3 + 8x^2 - ax + b is divisible by (x + 2). If the polynomial is divided by (x - 2), the remainder will be 84. Find the values of a and b.

[Free] Play any traditional game, e.g., hopscotch, marbles, etc., and frame any two mathematical statements (addition, subtraction, division, multiplication) from the particular game and solve them.

[Free] Car insurance companies want to keep track of the average cost per claim. The current data in use for Auto Insurance R Us is an average of $[tex]$2,200$[/tex] for each claim with a standard deviation of $[tex]$500$[/tex]. With this average, the company can stay competitive with rates but not lose money. However, the statistician for the company believes that the cost of the average claim has increased. He pulled 40 recent claims and found the average to be $[tex]$2,350$[/tex]. Which most restrictive level of significance would suggest that the company should raise rates? Upper-Tail Values a 5 % 2.5 % 1 % Critical z-values 1.65 1.96 2.58 A. 1 % B. 2.5 % C. 5 % D. 10 %

[Free] Find the value of the expression: [tex]$\left(-\frac{2}{3}\right)^7 \div\left(-\frac{2}{3}\right)^4$[/tex]