Answer:
Step-by-step explanation:
The given equation is:
We have to simplify it and convert to the product form, therefore taking the common terms from the given expression, we get
Now, taking common from all the terms, we get
which is the required product form of the given expression.
Answer:
$9.3 million
Step-by-step explanation:
Given that the company profit increases by 9% yearly from 2005.
Using the exponential growth formula;
A = P(1+r)^(t) .....1
Where;
A = final amount/value of profit
P = initial amount/value = $6.6 million
r = growth rate yearly = 9% = 0.09
t = time of growth in years = 2009 - 2005 = 4 years
Substituting the values;
A = 6.6(1+0.09)^(4)
A = 6.6(1.09)^(4)
A = 9.3164386 million
A = $9.3 million
The companies profit in the year 2009 to the nearest 10th of $1 million is $9.3 million
Answer:
x=3
Step-by-step explanation:
34x-80=10x-8
34x -10x = -8 + 80
24x= 72
x= 72/24
x=3
The matrix expressions are:
- Matrix 2 cannot be solved
<h3>How to solve the matrix expression?</h3>
The rule for matrix product states that:
If the dimensions of matrix A is m by n, and the dimension of matrix B is n by p.
Then, the dimension of the product matrix is: m by p
Using the above rule, we have:
<u>Expression 1:</u>
Expand:
By comparison, we have:
12a + 7c = 2
5a + 3c = 3
12b+ 7d = -1
5b + 3d = 2
Using a graphing tool, we have:
a = -15, b = -17, c = 26 and d = 29
Hence, the matrix expression is:
<u>Expression 2:</u>
Expand:
By comparison, we have:
6.75a + 3b = 8
-9a - 4b = 5
Using a graphing tool, the system of equation has no solution
Hence, the matrix expression cannot be solved
<u>Expression 3:</u>
Expand:
By comparison, we have:
-2a + 3b = 6
3a + 5b = 8
Using a graphing tool,
a = 3 and b = 4
Hence, the matrix expression is:
Read more about matrix at:
brainly.com/question/1821869
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