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Musya8 [376]
1 year ago
12

Caden states that n^2 +3n + 2n is an equivalent expression to 6n. Why is Caden's statement incorrect?

Mathematics
1 answer:
malfutka [58]1 year ago
7 0
\begin{gathered} \text{The simplification of n}^2+3n+2n\text{ is:} \\ i)n^2+5n \\ By\text{ collecting common term, this can be written in form of:} \\ ii)\text{ n(n+5)} \end{gathered}

Thus, options A and D hold, from the simplifications above.

Let's consider the validity of the remaining options provided.

\begin{gathered} \text{For option B)} \\ \text{substitute for n=1 into the expression n}^2+3n+2n,\text{ we have} \\ 1^2+3(1)+2(1)=1+3+2=6 \\ \text{substitute for n=1 into the expression 6n, we have} \\ 6(1)=6 \\ \text{Thus, the expression n}^2+3n+2n\text{ is equivalent to 6n, for n=1} \end{gathered}\begin{gathered} \text{For option C)} \\ \text{The expression n}^2+3n+2n\text{ does not simplify to 7n} \end{gathered}\begin{gathered} \text{For option E)} \\ \text{substitute for n=4 into the expression n}^2+3n+2n,\text{ we have:} \\ 4^2+3(4)+2(4)=16+12+8=36 \\ \text{substitute for n=6 into the expression 6n, we have:} \\ 6(4)=24 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=4} \end{gathered}\begin{gathered} \text{For option F)} \\ \text{substitute for n=3 into the expression n}^2+3n+2n,\text{ we have:} \\ 3^2+3(3)+2(3)=9+9+6=24 \\ \text{substitute for n=3 into the expression 6n, we have:} \\ 6(3)=18 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=3} \end{gathered}

Hence, the correct options that apply are options A, D, E and F

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nataly862011 [7]

Answer:

Option C. \$34,252.67  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=18\ years\\ P=\$8,193\\ r=0.08\\n=6  

substitute in the formula above  

A=\$8,193(1+\frac{0.08}{6})^{6*18}=\$34,252.67  

4 0
3 years ago
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USPshnik [31]

Answer:

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Step-by-step explanation:

You would replace the x with -2x so you would end up with -2×-2 and that is 4 then minus 2 is 2.

7 0
3 years ago
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JulsSmile [24]
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6 0
3 years ago
I Need Help With These
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4 0
3 years ago
3 Questions Math! HELP!!!
Sveta_85 [38]
1) Since the larger number is a negative, you’re going to get a negative solution for number one. An easy way to do the math is to ignore the negative sign in (-116) For a moment. And subtract 56 from it.
116 - 56 = 60. Don’t forget to place the negative sign we pushed to this side before the solution. The answer is -60.

2) We do the same thing we did in number one, but with new numbers. The answer in total is -178.

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8 0
3 years ago
Read 2 more answers
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