The <em>correct answers</em> are:
It would take 5 months and she would save $250.
Explanation:
Let m be the number of months.
For the first way of saving, $200 up front and $10 each month, the expression would be
200+10m.
For the second way of saving, $100 up front and $30 each month, the expression would be
100+30m.
Setting them equal gives us the equation
200+10m = 100+30m
Subtract 10m from each side:
200+10m-10m = 100+30m-10m
200 = 100+20m
Subtract 100 from each side:
200-100 = 100+20m-100
100 = 20m
Divide both sides by 20:
100/20 = 20m/20
5 = m
It would take 5 months.
$200 up front and $10 each month for 5 months:
200+10m
200+10(5)
200+50
250
She would save $250.
Answer:
2x+23
Step-by-step explanation:
The perimeter of a triangle is calculated by adding the sum of all sides.
Therefore, in the given problem, the perimeter will be:
Perimeter = 21-x + 2x-3 + x+5
= 2x+23
Define the formula for the surface area of a square pyramid.
A square pyramid has a square base and four triangular sides.
The formula for this case is:
A = s ^ 2 + 2 * s * L
Where,
s: side of the base
L: inclined height
The inclined height is:
L = root (h ^ 2 + (s / 2) ^ 2)
Where,
L = root (12 ^ 2 + (12/2) ^ 2)
L = root (144 + 36)
L = root (180)
L = 13.42
Substituting values:
A = (12) ^ 2 + 2 * (12) * (13.42)
A = 466.08 in ^ 2
Answer:
The surface area is:
A = 466.08 in ^ 2