Questions in mathematics

Questions in mathematics

📝 Answered - Rs 4800 at 5% p.a. for 2 years.

📝 Answered - What is the simple interest value missing in the table? | Principal | $2,500 | |---|---| | Interest rate | 3.5% | | Time | 5 years | | Interest | ? | A. $43.75 B. $437.50 C. $4,370.50 D. $43,750.00

📝 Answered - Suppose [tex]$f(x)$[/tex] is a function such that if [tex]$p\ \textless \ q, f(p)\ \textless \ f(q)$[/tex]. Which statement best describes [tex]$f(x)$[/tex] ? A. [tex]$f(x)$[/tex] can be odd or even. B. [tex]$f(x)$[/tex] can be odd but cannot be even. C. [tex]$f(x)$[/tex] can be even but cannot be odd. D. [tex]$f(x)$[/tex] cannot be odd or even.

📝 Answered - A survey was conducted at a high school to study which instruments students are interested in learning. The data gathered is in the two-way table below: | | Violin | Trumpet | Flute | Clarinet | Total | | :-------- | :----- | :------ | :---- | :------- | :---- | | Freshman | 4 | 2 | 1 | 2 | 9 | | Sophomore | 2 | 1 | 3 | 3 | 9 | | Junior | 3 | 3 | 4 | 1 | 11 | | Senior | 5 | 1 | 2 | 3 | 11 | | Total | 14 | 7 | 10 | 9 | 40 | Based on this table, what is the relative frequency that a student is a sophomore who wants to learn the flute? [?]%

📝 Answered - What is the sum of the series? [tex]\sum_{j=1}^{38}\left(j^3-25 j\right)[/tex]

📝 Answered - Simplify the following rational expressions: [tex]$\frac{3 g^3 h^3}{g-h} \div \frac{4 g h}{h-g}$[/tex]

📝 Answered - What must be added to [tex]$60(5 x+4 y)$[/tex] to get [tex]$(2 x-10 y)$[/tex]?

📝 Answered - What is the product of $2 p+q$ and $-3 q-6 p+1$?

📝 Answered - Use the formula [tex]S_n=a_1\left(\frac{1-r^n}{1-r}\right)[/tex] to determine the number of black squares in the first five figures of the Sierpinski Carpet given by the partial sum: [tex]\sum_{k=1}^5(8)^{k-1}[/tex] For this sum: [tex]a_1=[/tex] [tex]\square[/tex] [tex]r=[/tex] [tex]\square[/tex] [tex]n=[/tex] [tex]\square[/tex]

📝 Answered - You began membership in a new health and fitness club which has access to a dietician and personal trainer. They help you develop a special eight-week diet and exercise program. The data in the following table represents your weight, [tex]$w$[/tex], as a function of time, [tex]$t$[/tex], over an eight-week period. | Time (weeks) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | | :----------- | :-- | :-- | :-- | :-- | :-- | :-- | :-- | :-- | :-- | | Weight (lb) | 150 | 144 | 143 | 141 | 140 | 137 | 137 | 132 | 129 | During which time period is the average rate of change zero? A. From week 7 to week 8 B. From week 3 to week 4 C. From week 0 to week 1 D. From week 5 to week 6