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Maru [420]
2 years ago
13

Which represents the sum of the geometric series 4+12+36+108+...+78,732

Mathematics
1 answer:
katrin2010 [14]2 years ago
7 0
Each successive term is 3 times the previous one, so you could write the sum as

\displaystyle\sum_{i=1}^{10}4\times3^{i-1}=118096
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The Cinema Center consists of four theaters: Cinemas I, II, III, and IV. The admission price for one feature at the Center is $5
zzz [600]

Answer:

a) Matrix B = \left[\begin{array}{c}5\\7\\9\end{array}\right]

b) Matrix AB = \left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right]

c) $12,695

Step-by-step explanation:

Matrix A = \left[\begin{array}{ccc}225&110&70\\95&160&225\\280&65&110\\0&240&225\end{array}\right]

a) Matrix B = \left[\begin{array}{c}5\\7\\9\end{array}\right]

Gross Receipt = AB

\left[\begin{array}{ccc}225&110&70\\95&160&225\\280&65&110\\0&240&225\end{array}\right] . \left[\begin{array}{c}5\\7\\9\end{array}\right] = \left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right]

c) Total revenue is the sum of receipts from 4 cinemas given in part b

Hence,

Total revenue = $2525 + $3620 + $2845 + $3705 = $12,695

3 0
3 years ago
You have 42,784 grams of a radioactive kind of curium. If its half-life is 18 years, how much will be left after 72 years?
s344n2d4d5 [400]

Answer:

2,674.14 g

Step-by-step explanation:

Recall that the formula for radioactive decay is

N = N₀ e^(-λt)

where,

N is the amount left at time t

N₀ is the initial amount when t=0, (given as 42,784 g)

λ = coefficient of radioactive decay

  = 0.693 ÷ Half Life

  = 0.693 ÷ 18

  = 0.0385

t = time elapsed (given as 72 years)

e = exponential constant ( approx 2.7183)

If we substitute these into our equation:

N = N₀ e^(-λt)

= (42,787) (2.7183)^[(-0.0385)(72)]

= (42,787) (2.7183)^(-2.7726)

=  (42,787) (0.0625)

= 2,674.14 g

6 0
3 years ago
Relatable?? uhh yeah
mafiozo [28]

Answer:

mhm thanks 4 the points

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Which process was used to obtain the equation shown in Step 2?
Minchanka [31]

Answer:

x3

Step-by-step explanation:

7 0
2 years ago
How much more is 3 1/4 than 1 3/4
Stels [109]

Answer:

1 and 1/2

Step-by-step explanation:

3 1/4 is equal to 13/4 and 1 3/4 is equal to 7/4. 13/4 - 7/4 is 6/4. 6/4 equalsn is 1 1/2.

4 0
3 years ago
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