Answer:
a = 0
Step-by-step explanation:
=> 3(a+4)-5(a-2) = 22
Opening Brackets
=> 3a+12-5a+10 = 22
=> 3a-5a+12+10 = 22
=> -2a+22 = 22
Subtracting 22 to both sides
=> -2a = 0
Dividing both sides by -2
We get,
=> a = 0
Answer:
C = 2000 + 25 * X
$ 7000
Step-by-step explanation:
We have that the value of the total costs is equal to the fixed costs plus the variable costs.
As fixed costs we have $ 2000 and variable cost we have $ 25 for each unit, that is, the equation for total costs would be:
Let x be the number of toys, then:
C = 2000 + 25 * X
If there are 200 toys, the cost would be:
Replace x with 200:
C = 2000 + 25 * 200
C = 7000
In other words, the cost of producing 200 toys would be $ 7000.
Answer:
5.625
Step-by-step explanation:
45 ÷ 8 = 5.625
Answer:
Step-by-step explanation:
X=12
For making mathematical induction, we need:
An
for which the relation holds true
if its true for
, then, is true for 
<h3>
base case</h3>
the relationship is not true for 1 or 2


but, is true for 3

<h3>
induction step</h3>
lets say that the relationship is true for n, this is

lets add 4 on each side, this is


now


if
then
, so



and this is what we were looking for!
So, for any natural equal or greater than 3, the relationship is true.