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olga nikolaevna [1]
3 years ago
13

Chris's pay went from $20/hr to $25/hr after his first evaluation. After his second evaluation his pay was raised to $33/hr. Whe

n comparing the % increases, what percent more than the first raise was the second?
Mathematics
1 answer:
lara [203]3 years ago
6 0
The first raise was a 25% increase, while the second raise was a 32% increase so there was a 7% increase from the first raise to the second one.
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What is the value of y in the sequence below?<br> 2,y,18, -54,162,
snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

<u>A</u><u>r</u><u>i</u><u>t</u><u>h</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{a_{n + 1} - a_n = d}

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

<u>G</u><u>e</u><u>o</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

  • 2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

\displaystyle \large{ \frac{ - 54}{18}  = - 3 } \\  \displaystyle \large{ \frac{ 162}{ - 54}  = - 3}

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

\displaystyle \large{ a_{n + 1} = y } \\  \displaystyle \large{ a_n = 2 } \\  \displaystyle \large{ r =  - 3 }

From the:

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

Substitute the values in.

\displaystyle \large{ \frac{y}{2}  =  - 3}

Multiply the whole equation by 2 to isolate y.

\displaystyle \large{ \frac{y}{2} \times 2  =  - 3 \times 2} \\  \displaystyle \large{ y =  - 6}

Therefore, the value of y is -6.

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2 years ago
The perimeter of a rectangle is 45 inches. One side of the rectangle
arlik [135]

Answer: 17.5*5=87.5

Step-by-step explanation:

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104.47 is already in standard form :)
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3 years ago
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Divide. 0.0075 ÷ (1.5  x  10−6) write your answer in scientific notation.
Alborosie
0.0075 ÷ (1.5 x 10^-6) = (7.5 x 10^-3) ÷ (1.5 x 10^-6) = (7.5 ÷ 1.5) x (10^(-3 - (-6))) = 5 x 10^(-3 + 6) = 5 x 10^3
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3 years ago
Someone please help me
Alex73 [517]

Answer:

i think C is the answer.

Step-by-step explanation:

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