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horrorfan [7]
3 years ago
7

A book sold 39,300 copies in its first month of release. Suppose this represents 6.1% of the number of copies sold to date. How

many copies have been sold to dat? Round your answer to the nearest whole number
Mathematics
1 answer:
alexdok [17]3 years ago
4 0

Answer:

644,262 copies

Step-by-step explanation:

Since this is a proportion problem, and we are given three values and one variable which is the total number of copies sold to date (x). Then we can use the Rule of Three to solve this problem. To do this we simply multiply the diagonal values and divide by the last value which would give us the value of the variable x

39,300 copies  <======>  6.1%

    x   copies   <=======>  100%

(100*39,300) / 6.1 = 644,262 copies

Therefore, a total of 644,262 copies have been sold to date.

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Write an explicit formula for an,the Nth term of the sequence 4,12,36
Rudik [331]

Answer:

3^{n}+3^{n-1}

Step-by-step explanation:

Since the sequence is geometric (it multiplies the previous number each time). The nth term sequence would be x^n + yn

Because the sequence multiplies by 3 each time, The base number in that equation would be 3^n +yn.

So 3^n of the equation would be:
3, 9, 27.

Compare the 2 equations:
4, 12, 36

3, 9 ,27

The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is: 3^{n-1}.

Combine these 2 equations together and you get:

3^{n}+3^{n-1}.

6 0
2 years ago
Please help me answer this question mathematicians
Damm [24]

Answer:

  6.5e^(i·(-157.38°)) ≈ 6.5e^(-2.7468i)

Step-by-step explanation:

A suitable calculator can find the value of this ratio for you.

  ((2+3i)/(1-i))² = -6 -2.5i ≈ 6.5∠-157.38° ≈ 6.5e^(-2.7468i)

__

The second attachments shows the calculator set to radian mode for the angle measure.

6 0
2 years ago
The heaviest dinosaur is estimated to have welghed 2.8 x 10^5 pounds. The average car weighs about 4 x 10^3 pounds.
34kurt

Answer:

  70

Step-by-step explanation:

Apparently, you want the ratio of the weights:

  (dino weight)/(car weight) = (2.8×10^5)/(4×10^3)

  = (2.8/4)×10^(5-3) = 0.7×10^2 = 0.7×100

  = 70

The heaviest dinosaur weighed about 70 times the weight of an average car.

_____

Your calculator can do arithmetic in scientific notation. So can any spreadsheet.

The applicable rule of exponents is ...

  (10^a)/(10^b) = 10^(a-b)

4 0
3 years ago
1
castortr0y [4]

Answer:

Its an Arithmetic progression

Step-by-step explanation:

d1= -18-(-25)= 7

d2= -11-(-18)= 7

d1 = d2

r1 = -18/25=0.72

r2 = -11/-8= 0.611

r1 isnt = r2

4 0
2 years ago
Simplify the expressions
4vir4ik [10]

Answer:

1) 2(2x+3)

2) 2x+4

3) - X + 4

4) 9x - 2

5) 5x−2

6) - 12x - 17

7) - 15x + 11

8) 3x/4

9) - 4x + 7

10) 4x-26/2

11) - 8x + 20.8

12) x - 6

8 0
3 years ago
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