Answer:
there both cercles
Step-by-step explanation:
Let a, b, c represent the numbers of $8, $10, and $12 tickets sold, respectively. The problem statement gives rise to three equations:
- a + b + c = 500
- 8a +10b +12c = 4700
- a + b - 4c = 0
Solving these equations by your favorite method gives ...
... (a, b, c) = (250, 150, 100)
250 $8 tickets, 150 $10 tickets, and 100 $12 tickets were sold.
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After you subtract the 3rd equation from the first to find 5c=500, you can substitute c=100 into the first two equations to get two equations in two unknowns. You know several ways to solve such equations, including elimination, substitution, and graphing, at least. Cramer's method is another viable choice.
Answer:
Step-by-step explanation:
In a parallelogram, diagonals bisect each other.
7y - 2 = 5y + 4
7y - 2 - 5y = 4
2y - 2 = 4
2y = 4 +2
2y = 6
y = 6/2
y = 3
3x +2 = 23
3x = 23 - 2
3x = 21
x = 21/3
x = 7
Answer:
The interest earned by Jessica after a year and a half of investment is $ 33.75.
Step-by-step explanation:
First, we must establish that simple interest is one in which interests are not added to capital. Therefore, interest in this case will always be calculated on the initial basis of $ 900.
That said, if Jessica invested $ 900 in her account, and said account grants a simple annual interest of % 2.5 per year, that account grants an interest of $ 22.5 per year (since 900 x 2.5 / 100 = 22.5). Therefore, to know the interest obtained in a year and a half, we must perform the following calculation:
22.5 (annual interest) + 22.5 / 2 (half-year interest) = X
22.5 + (22.5 / 2) = X = 33.75
Therefore, the interest obtained by Jessica after a year and a half of investment is $ 33.75.
Her salary in 12 years will be $ 105,600
