Answer:
7 ( b + 4 ) = 9
Step-by-step explanation:
Let the number be = b
It is given that the :
The number is added to 4.
And the value is equal to 9 when it is 7 times the sum of the number, b and 4.
Thus according to the question, the sentence can be translated in equation form as :
7 ( b + 4 ) = 9
Thus in other word, we can say that the addition of (b + 4) when it is multiplied for 7 times, we get the result as 9.
Given:
The geometric sequence is:

1 -4
2 20
3 -100
To find:
The explicit formula and list any restrictions to the domain.
Solution:
The explicit formula of a geometric sequence is:
...(i)
Where, a is the first term, r is the common ratio and
.
In the given sequence the first term is -4 and the second term is 20, so the common ratio is:



Putting
in (i), we get
where 
Therefore, the correct option is B.
<span>Sometimes. The following figure shows.</span>
Answer:
$2076.30
Step-by-step explanation:
In the n-th year, the rent will be ...
an = a1·r^(n-1) . . . . . . . . . r is the year on year ratio: 1+rate of increase
an = 1100·(1.095^(n-1))
Then the rent in the 8th year is ...
a8 = 1100·(1.095^(8-1)) ≈ 2076.30
The rent in the 8th year would be $2076.30.
For this case we have the following functions:
City A:
f (x) = 9x
City B:
g (x) = 3 (2) ^ x
The total number of employees will be:
h (x) = f (x) + g (x)
Substituting we have:
h (x) = 9x + 3 (2) ^ x
Rewriting we have:
h (x) = 3 (3x + (2) ^ x)
For 5 months we have:
h (5) = 3 * (3 * (5) + (2) ^ 5)
h (5) = 141
Answer:
the total number of employees in the company over x months and the total number of employees will be 141 when the function is:
h (x) = 3 (3x + (2)^x); 5 months