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Questions in mathematics

[Done] 1. Virginia's house lot measures 10 m long and 5 m wide. What is its area? 2. A square conference room has a measure of 4 m on one side. What is its area?

[Done] E = {n ∈ N | (3 - 4)² + 3n ≤ 291}

[Done] Use the following compound interest formula to complete the problem. [tex]$A=P\left(1+\frac{r}{n}\right)^{\prime \prime}$[/tex] Rodney owes [tex]$1,541.05[/tex] on his credit card. His card has an APR of [tex]$16.29 \%$[/tex], compounded monthly. Assuming that he makes no payments and no purchases, how much will he owe after one year? A. [tex]$1,811.70[/tex] B. [tex]$1,792.09[/tex] C. [tex]$1,541.05[/tex] Please select the best answer from the choices provided.

[Done] What is the equation of the line that passes through $(1,2)$ and is parallel to the line whose equation is $2x+y-1=0$? A. $2x+y+4=0$ B. $2x+y-4=0$ C. $2x-y-4=0

[Done] The eye color for 30 students in a statistics class was recorded. The counts for each color are listed in the table below. | Blue | Brown | Green | Hazel | Gray | |---|---|---|---|---| | 8 | 10 | 6 | 5 | 1 | Which of the following is the correct relative frequency table for eye color? | Blue | Brown | Green | Hazel | Gray | |---|---|---|---|---| | 0.27 | 0.33 | 0.20 | 0.17 | 0.03 | | Blue | Brown | Green | Hazel | Gray | |---|---|---|---|---| | 0.33 | 0.27 | 0.20 | 0.17 | 0.03 | | Blue | Brown | Green | Hazel | Gray | |---|---|---|---|---| | 8 | 10 | 6 | 5 | 1 | | Blue | Brown | Green | Hazel | Gray | |---|---|---|---|---| | 0.8 | 0.1 | 0.6 | 0.5 | 0.01 |

[Done] A businessman deposited Rs 60,000 in a Commercial Bank at $4.5 \%$ p.a. How long should he deposit the sum to receive an amount of Rs 61,350?

[Done] $y=11 x-14$ $-11 x+y=[?]$

[Done] Find the equation of the line parallel to [tex]y=4 x+1[/tex] that includes the point ( $-2,-5$ ). Give your answer in Point-Slope Form. [tex]y-[?]=\square(x-\square)[/tex]

[Done] Consider the function [tex]$h(x)=\frac{1}{x}$[/tex]. Which graph shows [tex]$h(2 x)+4$[/tex]?

[Done] Find the sum. $\left(2 a^2+a b+2 b\right)+\left(4 a^2-3 a b+9\right)$ A. $6 a^4-a b+2 b+9$ B. $6 a^4-2 a b+9$ C. $6 a^4+2 a b+2 b+9$ D. $6 a^2-2 a b+2 b+9$