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BartSMP [9]
3 years ago
13

Which graph shows a line that is perpendicular to line AB?

Mathematics
1 answer:
kherson [118]3 years ago
5 0
The 3rd slot is the answer you are looking for
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If your starting salary is $40,000 and you  receive a 4.2% raise every year, how much  TOTAL money will you make in 15 years?
Oliga [24]
The first year, the amount is 40,000

the second year is 40000 + 4.2% of 40000, or 0.042 * 4000, so 40000+(0.042*4000)
common factoring that  we get 40000(1 + 0.042), or just 40000(1.042)

in short, the starting amount is 40000, and to get the next term's value you'd use the "common ratio" of 1.042, namely the multiplier of 1.042.

for the third year it'll be 40000(1.042) + (0.042 *40000(1.042) ), again, common factoring that

40000(1.042)(1 + 0.042) or 40000(1.042)(1.042) or 40000(1.042)²

therefore,

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=40000\\
r=1.042\\
n=15
\end{cases}
\\\\\\
S_{15}=40000\left( \cfrac{1-1.042^{15}}{1-1.042} \right)\implies S_{15}\approx 40000\left( \cfrac{-0.8536}{-0.042} \right)
\\\\\\
S_{15}\approx 812951.42
5 0
3 years ago
A graphic designer wants to translate rectangle DEFG using T–1, 2(x, y). The pre-image has coordinates D(–1, 3),
anygoal [31]

Answer:

  D'(-2, 5), E'(3, 5), F'(3, 3), G'(-2, 3)

Step-by-step explanation:

Adding (-1, 2) to each of the coordinates gives ...

  D +(-1, 2) = (-1-1, 3+2) = D'(-2, 5)

  E +(-1, 2) = (4-1, 3+2) = E'(3, 5)

  F +(-1, 2) = (4-1, 1+2) = F'(3, 3)

  G +(-1, 2) = (-1-1, 1+2) = G'(-2, 3)

8 0
3 years ago
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Please help me on my homework
Irina-Kira [14]

the correct answer is $948

6 0
2 years ago
4 radians is the same as _____. <br> Round to the nearest hundredth of a degree.
jenyasd209 [6]
I think the answer is 229.1831. hope this helps!

4 0
3 years ago
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N is the midpoint of . Find the length of the line segment PQ if NQ = 18. answers:
Vitek1552 [10]
36 because NQ is 18 and the tic mark means that each half is equal to each other, and 18+18=36 :D
5 0
3 years ago
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