6, 7, 8, and 9. just plug the X into the equation
Answer:
Some real numbers are integer
Step-by-step explanation:
Real numbers ;
- Natural numbers (counting numbers) = Integer
- Whole numbers = Integers
- Integers =Integers
- Rational numbers (fractions , repeating or terminating decimals) = Fraction and decimal are not integers
- Irrational numbers. = Not integer
Answer:
a) Matrix B = ![\left[\begin{array}{c}5\\7\\9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D5%5C%5C7%5C%5C9%5Cend%7Barray%7D%5Cright%5D)
b) Matrix AB = ![\left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D2525%5C%5C3620%5C%5C2845%5C%5C3705%5Cend%7Barray%7D%5Cright%5D)
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]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D225%26110%2670%5C%5C95%26160%26225%5C%5C280%2665%26110%5C%5C0%26240%26225%5Cend%7Barray%7D%5Cright%5D)
a) Matrix B =
Gross Receipt = AB
. =
c) Total revenue is the sum of receipts from 4 cinemas given in part b
Hence,
Total revenue = $2525 + $3620 + $2845 + $3705 = $12,695
The second shape is double the first so you would do AB = 2 and then times by 2 as its double and you will get 4
answer = 4
Answer:
P = 6200 / (1 + 5.2e^(0.0013t))
increases the fastest
Step-by-step explanation:
dP/dt = 0.0013 P (1 − P/6200)
Separate the variables.
dP / [P (1 − P/6200)] = 0.0013 dt
Multiply the left side by 6200 / 6200.
6200 dP / [P (6200 − P)] = 0.0013 dt
Factor P from the denominator.
6200 dP / [P² (6200/P − 1)] = 0.0013 dt
(6200/P²) dP / (6200/P − 1) = 0.0013 dt
Integrate.
ln│6200/P − 1│= 0.0013t + C
Solve for P.
6200/P − 1 = Ce^(0.0013t)
6200/P = 1 + Ce^(0.0013t)
P = 6200 / (1 + Ce^(0.0013t))
At t = 0, P = 1000.
1000 = 6200 / (1 + C)
1 + C = 6.2
C = 5.2
P = 6200 / (1 + 5.2e^(0.0013t))
You need to change the exponent from negative to positive.
The inflection points are where the population increases the fastest.
