Questions in mathematics

Questions in mathematics

📝 Answered - Amira is solving the equation [tex]$x^2-6 x=1$[/tex]. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial? A. -9 B. 8 C. 9 D. 36

📝 Answered - If 0 represents 4 flowers, then 0000 represents how many flowers?

📝 Answered - Given the table, what is the balance?

📝 Answered - A cyclist buys a bicycle for $1,500. If the value of the bicycle depreciates by 35% every year, what is the value of the bicycle after 3 years? Remaining Amount = [tex]I (1-r)^{ t }[/tex] $[?] Round your answer to the nearest whole number.

📝 Answered - What is the 20th term of the arithmetic sequence [tex]3,9,15,21,27, \ldots ? \ a_{20}=\square[/tex]

📝 Answered - The arithmetic sequence $2,4,6,8,10, \ldots$ represents the set of even natural numbers. What is the 100th even natural number? $a_{100}=$ What is the sum of the first 100 even natural numbers? $S_{100}=$ Complete the sentence below with less than, greater than, or equal to. The sum of the first 100 even natural numbers is $\square$ the sum of the first 101 odd natural numbers.

📝 Answered - An equation for the depreciation of a car is given by $y=A(1-r)^t$, where $y=$ current value, $A=$ original value, $r=$ rate of depreciation, and $t=$ time, in years. The current value of a car is $12,282.50. The car originally cost $20,000 and depreciates at a rate of 15% per year. How old is the car? A. $\frac{1}{4}$ years B. $\frac{1}{3}$ years C. 3 years D. 4 years

📝 Answered - Sammie took $25 out of her checking account. After taking the money out of her account she had $100 remaining. Which equation can be used to find the amount, c, Sammy had in her account before she took the money out? A. [tex]$c \div 25=100$[/tex] B. [tex]$c+25=100$[/tex] C. [tex]$c-25=100$[/tex] D. [tex]$c \times 25=100$[/tex]

📝 Answered - $\sum_{n=1}^{\infty} \frac{1}{4 n^2-25}$

📝 Answered - Factor completely. [tex]$v^3-125$