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galina1969 [7]
3 years ago
14

Dylan opened a credit card account with $575.00 of available credit. Now that he has made some purchases, Dylan's account only h

as $322.00 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?
Mathematics
1 answer:
uysha [10]3 years ago
7 0

Answer:

A 44% decrease

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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.

7 0
2 years ago
PLEASE HELP SMART PEOPLE WILL MARK BRAINLIEST
sergey [27]

Answer:

\angle YPR = 42^o

Step-by-step explanation:

Its given:

\angle FPY = 90^o \\ \angle YPR + \angle FPR = 90^0 \\ 4p + 80 + 5p + 82 = 90^o \\ 9p = -72^o \\ p = -8 \\ \\ \angle YPR = 5(-8) + 82 = 42^o

5 0
3 years ago
A newspaper reported that in one year the United States imported goods from China worth a total of 385 billion dollars. What is
8_murik_8 [283]

Answer:

I dont known this one is hard

4 0
3 years ago
Please HELP MEEEE!!
vladimir1956 [14]

Answer:

oh go on quizlet and look

Step-by-step explanation i saw it there

7 0
2 years ago
Two students have partially simplified the same expression. Audrey's work: ( x3y−2 22x−5y3 ) 3 = ( x8y−5 22 ) 3 = x24y−15 26 Dav
Crank

Answer:

<h3>-<u>Aubrey first applied division of like bases by subtracting the exponents.</u></h3><h3>-<u>Next David will apply the quotient of powers.</u></h3><h3><u>-Aubrey's work is correct .</u></h3><h3><u>-The correct simplified answer is x^24/64y^15</u></h3>
4 0
2 years ago
Read 2 more answers
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