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4 years ago

Find the nth term for the sequence 30 27 24 21

2 answers:

7 0

Find the multiplication by subtracting the second term from the first term
27 - 30 = -3, so the multiplication table is -3x.
Now find the deviation of the first term in this sequence from the first term of the original -3x table
30 - -3 = 33
So you're adding 33 to the terms to get the sequence given
Final equation is:
-3n + 33

patriot [66]4 years ago

5 0

Assuming that the 30 is term #1 ..... The 'n'th term of the series is. T(n) = 33 - 3n or 3 (11 - n).

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After reading a book foe English class, 100 students were asked whether or not they enjoyed it. Nine twenty-fifths of the class

Katena32 [7]

Answer:

The number of students who liked the book was 64.

Step-by-step explanation:

After reading a book for English class, 100 students were asked whether or not they enjoyed it.

Now, given that nine twenty-fifths of the class did not like the book.

So, $\frac{9}{25}$ of the whole class did not like the book.

Then, the fraction of the class who did like the book was $(1 - \frac{9}{25}) = \frac{16}{25}$ .

Therefore, the number of students who liked the book was $(100 \times \frac{16}{25}) = 64$ . (Answer)

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3 years ago

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Nitella [24]

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3 years ago

Read 2 more answers

If $3,500 is invested at an interest rate of 6.25% per year compounded continuously, find the value of the investment after (a)

AveGali [126]

Answer:

(a) 3 years FV=$4,221.80

(b) 6 years FV=$5,092.46

Step-by-step explanation:

The formula for continuously compounded interest is

FV = PV x e^(i x t)

where,

FV=future value of the investment,

PV= present value,

i = stated interest rate,

t = time in years,

e= mathematical constant approximated as 2.7183.

In this case,

PV=$3,500

i = 6.25%

(a) 3 years

FV = PV x e^(i x t)

FV = $3,500 x e^(6.25%x3)

FV=$4,221.80

(b) 6 years

FV = $3,500 x e^(6.25%x6)

FV=$5,092.46

FV = $3,500 x e^(6.25%x9)

FV=$6,142.69

4 0

3 years ago

A bag contains three red marbles, five green ones, one lavender one, two yellows, and six orange marbles. HINT (See Example 7.)

Fittoniya [83]

Answer: There are 1820 sets of four marbles other than lavender.

Step-by-step explanation:

Since we have given that

Number of red marbles = 3

Number of green marbles = 5

Number of lavender marbles = 1

Number of yellow marbles = 2

Number of orange marbles = 6

So, Total number of marbles = 3 + 5+ 1 + 2 + 6 = 17

We need to find the sets of 4 marbles other than lavender.

so, Number of total marbles other than lavender becomes = 17 -1 =16

Number of marbles in a set = 4

So, Number of ways becomes

$^{16}C_4\\\\=1820$

Hence, there are 1820 sets of four marbles other than lavender.

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3 years ago