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cupoosta [38]
2 years ago
11

What is a31 of the arithmetic sequence for which a5=3.2 and a9=12.0?

Mathematics
1 answer:
miv72 [106K]2 years ago
7 0

The arithmetic sequence formula:

a_n=a_1+(n-1)d

We have:

a_5=3.2,\ a_9=12.0

Calculate d (common difference)

a_9-a_5=4d\\\\4d=12.0-3.2\\\\4d=8.8\ \ \ |:4\\\\d=2.2

Calculate 31th term:

a_{31}=a_5+26d\\\\a_{31}=3.2+26\cdot2.2=60.4

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From 1994 to 1995 the sales of a book decreased by 80%. If the sales in 1996 for the same as in 1994, By what percent did the in
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Answer:

400%

Step-by-step explanation:

Let the sales be "100" in 1994

Since, it decreased 80%, the sales was:

80% = 80/100 = 0.8

0.8 * 100 = 80 (decreased by 80)

So, it was

Sales in 1995: 100 - 80 = 20

Sales in 1996 was same as in 1994, so that's 100

Thus,

Sales in 1994: 100

Sales in 1995: 20

Sales in 1996: 100

We need to find percentage increase form 1995 to 1996, that is what percentage increase is from 20 to 100?

We will use the formula:

\frac{New-Old}{Old}*100

Where

New is 100

Old is 20

SO, we have:

\frac{New-Old}{Old}*100\\=\frac{100-20}{20}*100\\=4*100\\=400

So, it increased by 400%

3 0
2 years ago
Write the value of the underlined digit in 42,980,005
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Step-by-step explanation:

1. hundred thousand

2.hundred thousand

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2 years ago
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Which expression has a negative value?
Igoryamba

Answer:

A: 7 + 3 (negative 4) (2)

Step-by-step explanation:

Just as a rule of thumb, whenever you multiply or divide one negative number and one positive number, the outcome is always negative. However, whenever you multiply or divide two negative numbers OR two positive numbers, the outcome is always positive.

Now, let's first convert all these words into simple mathematical expressions and then solve them:

A) "7 + 3 (negative 4) (2)" = 7 + 3 * (-4) * 2 = 7 + (-24) = -17

B) "Negative 2 Left-bracket 12 divided by (negative 3) Right-bracket" =

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C) "(15 minus 7) minus (9 divided by 3)" = (15 - 7) - (9/3) = 8 - 3 = 5

D) "Negative 5 Left-bracket 7 + (negative 14) Right-bracket minus 30" =

-5 * [7 + (-14)] - 30 = -5 * (-7) - 30 = 35 - 30 = 5

The only expression that produces a negative value is the first one, A.

Hope this helps!

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2 years ago
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40 degrees might be use the question box
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Which of the following terms appear in the expression of (x+y)^10? The letter a in each term represents a real constant.
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A,B,D because the sum of the powers of variables in each term of the expansion is equal to the power the binomial is raised to.

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